K
Counting and Cardinality
Math.CC.K.CC.A.1
Count tens
https://www.khanacademy.org/e/counting-tens
Practice counting by tens.
cc-kindergarten-math
K
Counting and Cardinality
Math.CC.K.CC.A.1
Numbers to 100
https://www.khanacademy.org/e/count-to-100
Practice finding missing numbers in a list of numbers between 0 and 100.
early-math
K
Counting and Cardinality
Math.CC.K.CC.A.2
Missing numbers
https://www.khanacademy.org/e/count-from-any-number
Find the missing number in a list of numbers. Numbers used are 20 or less.
early-math
K
Counting and Cardinality
Math.CC.K.CC.A.3
Coming Soon
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in order
https://www.khanacademy.org/e/counting-objects
Practice counting without making mistakes.
eb-1-primaria
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in order
https://www.khanacademy.org/e/counting-objects
Practice counting without making mistakes.
eb-1-primaria
K
Counting and Cardinality
Math.CC.K.CC.B.4
Find 1 more or 1 less than a number
https://www.khanacademy.org/e/one-more--one-less
Practice finding one more or one less than a number.
early-math
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in pictures
https://www.khanacademy.org/e/counting-in-scenes
Practice counting objects in pictures.
fr-v2-cycle-2
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in order
https://www.khanacademy.org/e/counting-objects
Practice counting without making mistakes.
eb-1-primaria
K
Counting and Cardinality
Math.CC.K.CC.B.4
Find 1 more or 1 less than a number
https://www.khanacademy.org/e/one-more--one-less
Practice finding one more or one less than a number.
early-math
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in pictures
https://www.khanacademy.org/e/counting-in-scenes
Practice counting objects in pictures.
fr-v2-cycle-2
K
Counting and Cardinality
Math.CC.K.CC.B.4
Find 1 more or 1 less than a number
https://www.khanacademy.org/e/one-more--one-less
Practice finding one more or one less than a number.
early-math
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in pictures
https://www.khanacademy.org/e/counting-in-scenes
Practice counting objects in pictures.
fr-v2-cycle-2
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in order
https://www.khanacademy.org/e/counting-objects
Practice counting without making mistakes.
eb-1-primaria
K
Counting and Cardinality
Math.CC.K.CC.B.4
Find 1 more or 1 less than a number
https://www.khanacademy.org/e/one-more--one-less
Practice finding one more or one less than a number.
early-math
K
Counting and Cardinality
Math.CC.K.CC.B.4
Count in pictures
https://www.khanacademy.org/e/counting-in-scenes
Practice counting objects in pictures.
fr-v2-cycle-2
K
Counting and Cardinality
Math.CC.K.CC.B.5
Count objects 1
https://www.khanacademy.org/e/how-many-objects-1
Practice counting up to 20 objects. Objects are organized neatly into rows and columns.
zh-v2-grade-1
K
Counting and Cardinality
Math.CC.K.CC.B.5
Count with small numbers
https://www.khanacademy.org/e/counting-out-1-20-objects
Practice counting up to 10 objects.
zh-v2-grade-1
K
Counting and Cardinality
Math.CC.K.CC.B.5
Count objects 2
https://www.khanacademy.org/e/how-many-objects-2
Practice counting up to 20 objects in random patterns.Â
zh-v2-grade-1
K
Counting and Cardinality
Math.CC.K.CC.C.6
Compare numbers of objects 1
https://www.khanacademy.org/e/compare-groups-through-10
Practice counting which group has more objects.
mappers
K
Counting and Cardinality
Math.CC.K.CC.C.7
Comparing numbers to 10
https://www.khanacademy.org/e/comparing-numbers-through-10
Practice saying if one number is less than or greater than another number. Numbers are between 0 and 10.
cc-kindergarten-math
K
Geometry
Math.CC.K.G.A.1
Relative position
https://www.khanacademy.org/e/relative-position
Decide if objects are above, below, beside, in front of, or behind other objects.
cc-kindergarten-math
K
Geometry
Math.CC.K.G.A.1
Name shapes 1
https://www.khanacademy.org/e/naming-shapes
Practice identifying circles, triangles, squares, and rectangles.
mappers
K
Geometry
Math.CC.K.G.A.2
Name shapes 2
https://www.khanacademy.org/e/naming-shapes-2
Practice more challenging problems identifying circles, triangles, squares, and rectangles.
cc-kindergarten-math
K
Geometry
Math.CC.K.G.A.3
Coming Soon
K
Geometry
Math.CC.K.G.B.4
Compare shapes
https://www.khanacademy.org/e/compare-shapes
Practice comparing shapes based on their number of sides, number of corners, and side-lengths.
mappers
K
Geometry
Math.CC.K.G.B.5
Coming Soon
K
Geometry
Math.CC.K.G.B.6
Compose shapes
https://www.khanacademy.org/e/compose-shapes
Practice combining shapes to make other shapes.
zh-v2-grade-1
K
Measurement and Data
Math.CC.K.MD.A.1
Coming Soon
K
Measurement and Data
Math.CC.K.MD.A.2
Compare size
https://www.khanacademy.org/e/which-has-more-
Practice comparing 2 objects to see which is bigger, smaller, taller, shorter, or longer.
early-math
K
Measurement and Data
Math.CC.K.MD.B.3
Compare numbers of objects 2
https://www.khanacademy.org/e/sort-groups-by-count
Practice counting to see which group has the most things in it.
be-1ere-primaire
K
Number and Operations in Base Ten
Math.CC.K.NBT.A.1
Teen numbers
https://www.khanacademy.org/e/teen-numbers-1
Practice thinking of teen numbers as a ten plus some ones.
fr-v2-cycle-2
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.1
Subtract within 10
https://www.khanacademy.org/e/take-apart
Practice subtracting by "taking apart" (with numbers less than 10).
early-math
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.1
Add within 10
https://www.khanacademy.org/e/put-together
Practice adding by "putting together" (with numbers less than 10).
mappers
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.2
Subtraction word problems within 10
https://www.khanacademy.org/e/subtraction-word-problems-within-10
Practice solving word problems by subtracting small numbers (numbers 10 or less).
mappers
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.2
Addition word problems within 10
https://www.khanacademy.org/e/addition-word-problems-within-10
Practice solving word problems by adding small numbers (numbers 10 or less).
early-math
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.3
Making small numbers in different ways
https://www.khanacademy.org/e/making-totals-in-different-ways-within-10
Practice making a number by adding other numbers. All numbers in these problems are less than 10.
zh-v2-grade-1
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.4
Making 5
https://www.khanacademy.org/e/making-five
Practice adding numbers to make 5.
be-1ere-primaire
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.4
Make 10
https://www.khanacademy.org/e/making-ten-2
Practice adding numbers to make 10.
fr-v2-cycle-2
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.4
Make 10 (grids and number bonds)
https://www.khanacademy.org/e/making-ten
Practice adding numbers to make 10. These problems show grids to help you out.
early-math
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.5
Subtract within 5
https://www.khanacademy.org/e/subtraction_1
Subtract small numbers. All answers are less than 5.
mappers
K
Operations and Algebraic Thinking
Math.CC.K.OA.A.5
Add within 5
https://www.khanacademy.org/e/addition_1
Add small numbers. All answers are five or less.
puppies
1
Geometry
Math.CC.1.G.A.1
Name shapes 3
https://www.khanacademy.org/e/attributes-of-shapes
Practice identifying circles, triangles, squares, rectangles, rhombuses, trapezoids, and hexagons.
1
Geometry
Math.CC.1.G.A.2
Coming Soon
1
Geometry
Math.CC.1.G.A.3
Halves and fourths
https://www.khanacademy.org/e/halves-and-fourths
Practice dividing shapes into 2 or 4 equal sections.
1
Measurement and Data
Math.CC.1.MD.A.1
Indirect measurement
https://www.khanacademy.org/e/indirect-measurement
Compare the lengths of 2 objects indirectly by using a third object.
1
Measurement and Data
Math.CC.1.MD.A.1
Order by length
https://www.khanacademy.org/e/order-by-length
Practice ordering 3 objects by length. Â
1
Measurement and Data
Math.CC.1.MD.A.2
Measure lengths 1
https://www.khanacademy.org/e/measuring-lengths-1
Measure objects with same-size length units without gaps or overlaps.
1
Measurement and Data
Math.CC.1.MD.B.3
Tell time to hour or half hour
https://www.khanacademy.org/e/tell-time-to-hour-or-half-hour
Practice telling time on analog clocks to the hour or half hour.
1
Measurement and Data
Math.CC.1.MD.C.4
Solve problems with bar graphs 1
https://www.khanacademy.org/e/solving-problems-with-bar-graphs-1
Read and interpret bar graphs.
1
Number and Operations in Base Ten
Math.CC.1.NBT.A.1
Numbers to 120
https://www.khanacademy.org/e/numbers-to-120
Practice finding missing numbers in a list of numbers between 0 and 120.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
Groups of ten objects
https://www.khanacademy.org/e/groups-of-tens
Practice grouping objects by tens.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
Groups of ten objects
https://www.khanacademy.org/e/groups-of-tens
Practice grouping objects by tens.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
2-digit place value challenge
https://www.khanacademy.org/e/understanding-2-digit-numbers
Practice breaking numbers apart into tens and ones.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
2-digit place value challenge
https://www.khanacademy.org/e/understanding-2-digit-numbers
Practice breaking numbers apart into tens and ones.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
2-digit place value challenge
https://www.khanacademy.org/e/understanding-2-digit-numbers
Practice breaking numbers apart into tens and ones.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
2-digit place value challenge
https://www.khanacademy.org/e/understanding-2-digit-numbers
Practice breaking numbers apart into tens and ones.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
Groups of ten objects
https://www.khanacademy.org/e/groups-of-tens
Practice grouping objects by tens.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.2
Groups of ten objects
https://www.khanacademy.org/e/groups-of-tens
Practice grouping objects by tens.
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.3
Compare 2-digit numbers
https://www.khanacademy.org/e/comparing_whole_numbers
Practice comparing numbers (within 100) using the symbols <, >, and =.Â
1
Number and Operations in Base Ten
Math.CC.1.NBT.B.3
Compare 2-digit numbers 2
https://www.khanacademy.org/e/comparing-two-digit-numbers-1
Practice more challenging problems comparing numbers within 100.
1
Number and Operations in Base Ten
Math.CC.1.NBT.C.4
Add 2-digit numbers (no regrouping)
https://www.khanacademy.org/e/add-within-100--level-2
Practice solving problems like 24 + 45.
1
Number and Operations in Base Ten
Math.CC.1.NBT.C.4
Add 1s or 10s (no regrouping)
https://www.khanacademy.org/e/adding-1s-or-10s-to-two-digit-numbers
Practice solving problems like 34+5 and 34+50.
1
Number and Operations in Base Ten
Math.CC.1.NBT.C.4
Break apart 2-digit addition problems
https://www.khanacademy.org/e/breaking-apart-two-digit-addition-problems
Practice breaking apart problems like 23+45 into problems like 20+40+3+5.
1
Number and Operations in Base Ten
Math.CC.1.NBT.C.4
Regroup when adding 1-digit numbers
https://www.khanacademy.org/e/regroup-two-digit-plus-one-digit
Practice adding numbers like 45+8.
1
Number and Operations in Base Ten
Math.CC.1.NBT.C.4
Add 1 or 10
https://www.khanacademy.org/e/add-within-100--level-1
Practice solving problems like 34+1 and 34+10.
1
Number and Operations in Base Ten
Math.CC.1.NBT.C.5
Add 1 or 10
https://www.khanacademy.org/e/add-within-100--level-1
Practice solving problems like 34+1 and 34+10.
1
Number and Operations in Base Ten
Math.CC.1.NBT.C.6
Coming Soon
1
Operations and Algebraic Thinking
Math.CC.1.OA.A.1
Word problems with "more" and "fewer" 2
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-20--level-4
Practice solving more word problems by finding how many more (or fewer) objects there are. Numbers used are 20 or less.
1
Operations and Algebraic Thinking
Math.CC.1.OA.A.1
Word problems with "more" and "fewer" 1
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-20--level-3
Practice solving word problems by finding how many more (or fewer) objects there are. Numbers used are 20 or less.
1
Operations and Algebraic Thinking
Math.CC.1.OA.A.1
Addition and subtraction word problems 1
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-20--level-1
Practice adding and subtracting to solve word problems. Numbers used are 20 or less.
1
Operations and Algebraic Thinking
Math.CC.1.OA.A.1
Addition and subtraction word problems 2
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-20--level-2
Practice solving more challenging word problems with addition and subtraction. Numbers used are 20 or less.
1
Operations and Algebraic Thinking
Math.CC.1.OA.A.1
Word problems with "more" and "fewer"
https://www.khanacademy.org/e/word-problems-more-and-fewer
Practice solving word problems by finding how many more (or fewer) objects there are. Each problem shows a diagram to help you.
1
Operations and Algebraic Thinking
Math.CC.1.OA.A.2
Add 3 numbers
https://www.khanacademy.org/e/adding-three-numbers
Practice adding 3 numbers. All numbers in these problems are 20 or less.
1
Operations and Algebraic Thinking
Math.CC.1.OA.B.3
Coming Soon
1
Operations and Algebraic Thinking
Math.CC.1.OA.B.4
Relate addition and subtraction
https://www.khanacademy.org/e/relate-addition-and-subtraction
Practice seeing how addition and subtraction are related.
1
Operations and Algebraic Thinking
Math.CC.1.OA.C.5
Coming Soon
1
Operations and Algebraic Thinking
Math.CC.1.OA.C.6
Subtract within 20
https://www.khanacademy.org/e/subtraction_2
Practice subtracting. All numbers in these problems are 20 or less.
1
Operations and Algebraic Thinking
Math.CC.1.OA.C.6
Add within 20
https://www.khanacademy.org/e/addition_2
Practice adding. All numbers in these problems are 20 or less.
1
Operations and Algebraic Thinking
Math.CC.1.OA.D.7
Equal sign
https://www.khanacademy.org/e/meaning-of-equal-sign-1
Practice telling which equation is true.
1
Operations and Algebraic Thinking
Math.CC.1.OA.D.8
Find missing number (add and subtract within 20)
https://www.khanacademy.org/e/missing-number-within-20--add-and-subtract-
Learn how to solve problems like "___ - 7 = 18" where you don't know one of the values in an addition or subtraction equation.
2
Geometry
Math.CC.2.G.A.1
Name shapes 4
https://www.khanacademy.org/e/recognizing-shapes
Practice identifying quadrilaterals, pentagons, hexagons, and octagons.
2
Geometry
Math.CC.2.G.A.2
Coming Soon
2
Geometry
Math.CC.2.G.A.3
Equal parts of circles and rectangles
https://www.khanacademy.org/e/equal-parts-of-circles-and-rectangles
Practice telling if shapes are divided into 2 or 4 equal sections.
2
Measurement and Data
Math.CC.2.MD.A.1
Measure lengths 2
https://www.khanacademy.org/e/measuring-lengths-2
Measure objects using a ruler.
2
Measurement and Data
Math.CC.2.MD.A.2
Coming Soon
2
Measurement and Data
Math.CC.2.MD.A.3
Estimate lengths
https://www.khanacademy.org/e/estimating-lengths
Estimate lengths using units of centimeters and meters.
2
Measurement and Data
Math.CC.2.MD.A.3
Estimate lengths (US Customary units)
https://www.khanacademy.org/e/estimate-lengths--us-customary-units-
Estimate lengths using units of inches, feet, and yards.
2
Measurement and Data
Math.CC.2.MD.A.4
Coming Soon
2
Measurement and Data
Math.CC.2.MD.B.5
Length word problems
https://www.khanacademy.org/e/length-word-problems
Add and subtract lengths to solve word problems.
2
Measurement and Data
Math.CC.2.MD.B.6
Add and subtract on the number line word problems
https://www.khanacademy.org/e/adding-and-subtracting-on-the-number-line-word-problems
Practice adding and subtracting using the number line. Numbers used are 100 or less.
2
Measurement and Data
Math.CC.2.MD.C.7
Tell time without labels
https://www.khanacademy.org/e/telling_time
Tell time on unlabeled analog clocks.
2
Measurement and Data
Math.CC.2.MD.C.7
Tell time with a labeled clock
https://www.khanacademy.org/e/telling_time_0.5
Tell time on labeled analog clocks.
2
Measurement and Data
Math.CC.2.MD.C.8
Count money (U.S.)
https://www.khanacademy.org/e/counting-money--us-
Find the total value when given an amount of coins or dollars.
2
Measurement and Data
Math.CC.2.MD.D.10
Solve problems with picture graphs 1
https://www.khanacademy.org/e/solving-problems-with-picture-graphs-1
Read and interpret picture graphs.
2
Measurement and Data
Math.CC.2.MD.D.10
Solve problems with bar graphs 2
https://www.khanacademy.org/e/solving-problems-with-bar-graphs-2
Use bar graphs to solve addition and subtraction word problems.
2
Measurement and Data
Math.CC.2.MD.D.9
Make bar graphs 1
https://www.khanacademy.org/e/make-bar-graphs-1
Practice creating bar graphs (bar charts) from data sets.
2
Measurement and Data
Math.CC.2.MD.D.9
Make line plots
https://www.khanacademy.org/e/creating-line-plots-1
Practice creating line plots (dot plots) from data sets.
2
Measurement and Data
Math.CC.2.MD.D.9
Solve problems with line plots
https://www.khanacademy.org/e/solving-problems-with-line-plots-1
Answer questions using line plots and data sets.
2
Measurement and Data
Math.CC.2.MD.D.9
Make picture graphs 1
https://www.khanacademy.org/e/make-picture-graphs-1
Practice creating picture graphs (pictographs) from data sets.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.1
Hundreds, tens, and ones
https://www.khanacademy.org/e/hundreds--tens--and-ones
Practice thinking about place value of 3-digit numbers as hundreds, tens, and ones.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.1
Hundreds, tens, and ones
https://www.khanacademy.org/e/hundreds--tens--and-ones
Practice thinking about place value of 3-digit numbers as hundreds, tens, and ones.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.1
Hundreds, tens, and ones
https://www.khanacademy.org/e/hundreds--tens--and-ones
Practice thinking about place value of 3-digit numbers as hundreds, tens, and ones.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.2
Skip-count by 10s
https://www.khanacademy.org/e/skip-counting-by-10s
Practice counting by 10s.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.2
Count money (U.S.)
https://www.khanacademy.org/e/counting-money--us-
Find the total value when given an amount of coins or dollars.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.2
Skip-counting by 100s
https://www.khanacademy.org/e/skip-counting-by-100s
Practice counting by 100s.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.2
Skip-count by 5s
https://www.khanacademy.org/e/skip-counting-by-5s
Practice counting by 5s.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.3
3-digit place value challenge
https://www.khanacademy.org/e/writing-numbers-to-1000
Practice breaking numbers into hundreds, tens, and ones.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.4
Subtract 1-digit numbers with regrouping
https://www.khanacademy.org/e/regroup-two-dig-minus-one-dig
Practice solving problems like 46-9.
2
Number and Operations in Base Ten
Math.CC.2.NBT.A.4
Compare 3-digit numbers
https://www.khanacademy.org/e/comparing-numbers-within-1000
Practice more challenging problems comparing numbers within 1000.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.5
Subtract 2-digit numbers (no regrouping)
https://www.khanacademy.org/e/subtract-within-100-level-2
Practice solving problems like 45 - 24.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.5
Subtract within 100
https://www.khanacademy.org/e/subtraction_3
Practice subtracting 2-digit numbers.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.5
Add within 100
https://www.khanacademy.org/e/addition_3
Practice adding two-digit numbers. All numbers in these problems are 100 or less.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.5
Subtract 1 or 10
https://www.khanacademy.org/e/subtract-with-in-100-level-1
Practice subtracting 1 or 10 from a 2-digit number (no regrouping).
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.5
Add 2-digit numbers by making tens
https://www.khanacademy.org/e/making-100
Practice adding 2-digit numbers like 43+27 that have sums that are multiples of 10.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.5
Subtracting 1s or 10s (no regrouping)
https://www.khanacademy.org/e/subtracting-1s-or-10s
Practice solving problems like 67-5 and 67-50.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.5
Add 2-digit numbers by making tens 2
https://www.khanacademy.org/e/making-100-level-2
Practice adding two-digit numbers by making groups of ten.Â
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.6
Coming Soon
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Select strategies for adding within 100
https://www.khanacademy.org/e/select-strategies-for-adding-within-100
Practice telling which strategies work for adding two numbers within 100.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Add and subtract on a number line
https://www.khanacademy.org/e/adding-and-subtracting-within-1000-using-a-number-line
Practice adding and subtracting numbers like 554 and 237 using a number line. Â All numbers are less than 1000.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Add using groups of 10 and 100
https://www.khanacademy.org/e/making-100-and-1000
Practice making groups of 10 and 100 while adding 3-digit numbers.Â
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Subtract 2- and 3-digit numbers (no regrouping)
https://www.khanacademy.org/e/subtract-within-1000--level-2
Practice solving problems like 452 + 241.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Add 10s and 100s (no regrouping)
https://www.khanacademy.org/e/add-within-1000--level-1
Practice solving problems like 344+20 and 344+200.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Subtract 10s and 100s (no regrouping)
https://www.khanacademy.org/e/subtract-within-1000--level-1
Practice subtracting 1, 10, or 100 from a number.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Estimate to add and subtract multi-digit whole numbers
https://www.khanacademy.org/e/estimate-to-add-multi-digit-whole-numbers-
Use estimation to find a reasonable solution to multi-digit addition and subtraction problems. Numbers are less than or equal to 1000.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Break apart 3-digit addition problems
https://www.khanacademy.org/e/break-apart-three-dig-add
Practice breaking apart big addition problems using place value. For example, 234+567 is the same as 200+500+30+60+4+7.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Add 2- and 3-digit numbers (no regrouping)
https://www.khanacademy.org/e/add-within-1000--level-2
Practice solving problems like 243 + 452.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.7
Add and subtract using a number line
https://www.khanacademy.org/e/add-sub-within-100-w-num-line
Practice adding and subtracting numbers like 54 and 37 using a number line. Numbers used in these problems are all less than 100.
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.8
Coming Soon
2
Number and Operations in Base Ten
Math.CC.2.NBT.B.9
Coming Soon
2
Operations and Algebraic Thinking
Math.CC.2.OA.A.1
Challenging add and subtract word problems (within 100)
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-100--level-4
Practice solving more challenging addition and subtraction word problems with "more" and "fewer".​  Multi-step problems are also included.  Numbers used are 100 or less.
2
Operations and Algebraic Thinking
Math.CC.2.OA.A.1
Add and subtract within 100 word problems 3
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-100--level-3
Practice solving word problems with addition and subtraction. Â Â These questions are start unknown problems including add to and take from problems. Â Numbers used are 100 or less.
2
Operations and Algebraic Thinking
Math.CC.2.OA.A.1
Add and subtract within 100 word problems 2
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-100--level-2
Practice solving word problems with addition and subtraction. Â Â These questions are comparison problems including difference unknown, smaller value unknown, and bigger value unknown. Â Numbers used are 100 or less.
2
Operations and Algebraic Thinking
Math.CC.2.OA.A.1
Solve problems with picture graphs 1
https://www.khanacademy.org/e/solving-problems-with-picture-graphs-1
Read and interpret picture graphs.
2
Operations and Algebraic Thinking
Math.CC.2.OA.A.1
Find the missing number (add and subtract within 100)
https://www.khanacademy.org/e/find-the-missing-number-add-sub-within-100
Practice solving problems like "___ - 45 = 27" where you have to figure out the missing value in an addition or subtraction equation.
2
Operations and Algebraic Thinking
Math.CC.2.OA.A.1
Add and subtract within 100 word problems 1
https://www.khanacademy.org/e/addition-and-subtraction-word-problems-within-100--level-1
Practice adding and subtracting to solve word problems. These questions are result unknown or change unknown problems. Â Numbers used are 100 or less.
2
Operations and Algebraic Thinking
Math.CC.2.OA.A.1
Length word problems
https://www.khanacademy.org/e/length-word-problems
Add and subtract lengths to solve word problems.
2
Operations and Algebraic Thinking
Math.CC.2.OA.B.2
Coming Soon
2
Operations and Algebraic Thinking
Math.CC.2.OA.C.3
Coming Soon
2
Operations and Algebraic Thinking
Math.CC.2.OA.C.4
Repeated addition
https://www.khanacademy.org/e/repeated-addition
Practice solving word problems by adding the same number many times.
3
Geometry
Math.CC.3.G.A.1
Identify quadrilaterals
https://www.khanacademy.org/e/identify-quadrilaterals
Identify squares, rectangles, and rhombuses.
3
Geometry
Math.CC.3.G.A.1
Categorize quadrilaterals
https://www.khanacademy.org/e/categorize-quadrilaterals
Classify and compare rectangles, rhombuses, and squares.
3
Geometry
Math.CC.3.G.A.2
Identify unit fractions
https://www.khanacademy.org/e/cutting-shapes-into-equal-parts
Identify unit fractions when given a visual or a context.
3
Geometry
Math.CC.3.G.A.2
Cut shapes into equal parts
https://www.khanacademy.org/e/that-s-not-fair-
Practice telling if a shape has been divided into equal parts.
3
Measurement and Data
Math.CC.3.MD.A.1
Telling time on the number line
https://www.khanacademy.org/e/telling-time-on-the-number-line
Match time of a number line to time on an analog or digital clock. Graph a given time on a number line.
3
Measurement and Data
Math.CC.3.MD.A.1
Time word problems with number line
https://www.khanacademy.org/e/telling-time-word-problems-with-the-number-line
Use a number line to solving time word problems.
3
Measurement and Data
Math.CC.3.MD.A.1
Tell time to the nearest minute
https://www.khanacademy.org/e/telling-time-to-the-nearest-minute
Practice telling time using analog clocks. Some clocks do not have labels.
3
Measurement and Data
Math.CC.3.MD.A.1
Telling time word problems (within the hour)
https://www.khanacademy.org/e/telling-time-word-problems
Solve a word problem to find the duration of an event. Â Both analog or digital clocks are included.
3
Measurement and Data
Math.CC.3.MD.A.1
Time differences (within the hour)
https://www.khanacademy.org/e/time-differences
Practice finding the difference between times given on two analog clocks. Each time difference is less than 60 minutes, and the hour hand stays on the same hour.
3
Measurement and Data
Math.CC.3.MD.A.2
Word problems with mass
https://www.khanacademy.org/e/measure-mass
Solve word problems involving mass. Â Estimate the mass of items.
3
Measurement and Data
Math.CC.3.MD.A.2
Estimate mass (grams and kilograms)
https://www.khanacademy.org/e/estimating-mass
Practice estimating the mass of real life objects using grams and kilograms.
3
Measurement and Data
Math.CC.3.MD.A.2
Estimate volume (milliliters and liters)
https://www.khanacademy.org/e/estimating-volume
Practice estimating the volume of real life objects using milliliters and liters.
3
Measurement and Data
Math.CC.3.MD.A.2
Word problems with volume
https://www.khanacademy.org/e/volume-word-problems-1
Solve word problems involving volume. Â Estimate the volume of items.
3
Measurement and Data
Math.CC.3.MD.B.3
Read picture graphs
https://www.khanacademy.org/e/solving-problems-with-picture-graphs-2
Use picture graphs to solve word problems.
3
Measurement and Data
Math.CC.3.MD.B.3
Read bar graphs and solve 2 step problems
https://www.khanacademy.org/e/reading_bar_charts_2
Read and interpret a double bar graphs.
3
Measurement and Data
Math.CC.3.MD.B.3
Read bar graphs and solve 1-step problems
https://www.khanacademy.org/e/solving-problems-with-bar-graphs-3
Interpret bar graphs to answer questions about a context.
3
Measurement and Data
Math.CC.3.MD.B.3
Create bar graphs
https://www.khanacademy.org/e/creating_bar_charts_1
Create a bar graph with the data given.
3
Measurement and Data
Math.CC.3.MD.B.3
Read picture graphs (multi-step problems)
https://www.khanacademy.org/e/reading_pictographs_2
Interpret picture graphs to answer questions about a context.
3
Measurement and Data
Math.CC.3.MD.B.3
Create picture graphs (picture more than 1)
https://www.khanacademy.org/e/creating-picture-and-bar-graphs-2
Create and interpret picture graphs.
3
Measurement and Data
Math.CC.3.MD.B.4
Graph data on line plots
https://www.khanacademy.org/e/creating-line-plots-2
Record measurements on line plots (also called dot plots).
3
Measurement and Data
Math.CC.3.MD.B.4
Read line plots (data with fractions)
https://www.khanacademy.org/e/read-line-plots
Practice reading and interpreting data that is graphed on line plots. The data graphed includes fractions.
3
Measurement and Data
Math.CC.3.MD.C.5
Find area by counting unit squares
https://www.khanacademy.org/e/area_1
Find the area of shapes by counting the unit squares inside them.
3
Measurement and Data
Math.CC.3.MD.C.5
Understanding area
https://www.khanacademy.org/e/understanding-area
Compare the amount of unit squares that cover figures.
3
Measurement and Data
Math.CC.3.MD.C.5
Understanding area
https://www.khanacademy.org/e/understanding-area
Compare the amount of unit squares that cover figures.
3
Measurement and Data
Math.CC.3.MD.C.5
Understanding area
https://www.khanacademy.org/e/understanding-area
Compare the amount of unit squares that cover figures.
3
Measurement and Data
Math.CC.3.MD.C.5
Find area by counting unit squares
https://www.khanacademy.org/e/area_1
Find the area of shapes by counting the unit squares inside them.
3
Measurement and Data
Math.CC.3.MD.C.5
Find area by counting unit squares
https://www.khanacademy.org/e/area_1
Find the area of shapes by counting the unit squares inside them.
3
Measurement and Data
Math.CC.3.MD.C.6
Find area by counting unit squares
https://www.khanacademy.org/e/area_1
Find the area of shapes by counting the unit squares inside them.
3
Measurement and Data
Math.CC.3.MD.C.6
Create rectangles with a given area
https://www.khanacademy.org/e/find-area-of-rectangles-by-counting-unit-squares
Practice finding the area of rectangles by counting unit square. Create rectangles with a given area by covering unit squares.
3
Measurement and Data
Math.CC.3.MD.C.6
Find area with partial unit squares
https://www.khanacademy.org/e/measuring-area-with-unit-squares
Count unit squares and partial unit squares to find the area of shapes. Â
3
Measurement and Data
Math.CC.3.MD.C.7
Area of rectangles
https://www.khanacademy.org/e/area-of-squares-and-rectangles
Find area of rectangles and squares by multiplying side lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 2
https://www.khanacademy.org/e/decompose-shapes-to-find-area
Practice decomposing irregular shapes to find their area. Â
3
Measurement and Data
Math.CC.3.MD.C.7
Measure to find area
https://www.khanacademy.org/e/measure-to-find-area
Practice measuring the side-lengths of a rectangle to find its area.
3
Measurement and Data
Math.CC.3.MD.C.7
Compare areas by multiplying
https://www.khanacademy.org/e/comparing-areas-by-multiplying
Compare the areas of rectangles represented in images or contexts.
3
Measurement and Data
Math.CC.3.MD.C.7
Area of rectangles
https://www.khanacademy.org/e/area-of-squares-and-rectangles
Find area of rectangles and squares by multiplying side lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 2
https://www.khanacademy.org/e/decompose-shapes-to-find-area
Practice decomposing irregular shapes to find their area. Â
3
Measurement and Data
Math.CC.3.MD.C.7
Area and the distributive property
https://www.khanacademy.org/e/area-and-the-distributive-property
Use area models to represent the distributive property in finding area of rectangles.
3
Measurement and Data
Math.CC.3.MD.C.7
Transition from unit squares to area formula
https://www.khanacademy.org/e/finding-area-by-multiplying
Find area of rectangles by multiplying side-lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Measure to find area
https://www.khanacademy.org/e/measure-to-find-area
Practice measuring the side-lengths of a rectangle to find its area.
3
Measurement and Data
Math.CC.3.MD.C.7
Area and the distributive property
https://www.khanacademy.org/e/area-and-the-distributive-property
Use area models to represent the distributive property in finding area of rectangles.
3
Measurement and Data
Math.CC.3.MD.C.7
Find a missing side length when given area
https://www.khanacademy.org/e/find-a-missing-side-length-when-given-area-of-a-rectangle
Practice finding a missing side length on a rectangle when given the other side length and the area.
3
Measurement and Data
Math.CC.3.MD.C.7
Find a missing side length when given area
https://www.khanacademy.org/e/find-a-missing-side-length-when-given-area-of-a-rectangle
Practice finding a missing side length on a rectangle when given the other side length and the area.
3
Measurement and Data
Math.CC.3.MD.C.7
Measure to find area
https://www.khanacademy.org/e/measure-to-find-area
Practice measuring the side-lengths of a rectangle to find its area.
3
Measurement and Data
Math.CC.3.MD.C.7
Compare areas by multiplying
https://www.khanacademy.org/e/comparing-areas-by-multiplying
Compare the areas of rectangles represented in images or contexts.
3
Measurement and Data
Math.CC.3.MD.C.7
Find a missing side length when given area
https://www.khanacademy.org/e/find-a-missing-side-length-when-given-area-of-a-rectangle
Practice finding a missing side length on a rectangle when given the other side length and the area.
3
Measurement and Data
Math.CC.3.MD.C.7
Area and the distributive property
https://www.khanacademy.org/e/area-and-the-distributive-property
Use area models to represent the distributive property in finding area of rectangles.
3
Measurement and Data
Math.CC.3.MD.C.7
Area of rectangles
https://www.khanacademy.org/e/area-of-squares-and-rectangles
Find area of rectangles and squares by multiplying side lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Measure to find area
https://www.khanacademy.org/e/measure-to-find-area
Practice measuring the side-lengths of a rectangle to find its area.
3
Measurement and Data
Math.CC.3.MD.C.7
Compare areas by multiplying
https://www.khanacademy.org/e/comparing-areas-by-multiplying
Compare the areas of rectangles represented in images or contexts.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 2
https://www.khanacademy.org/e/decompose-shapes-to-find-area
Practice decomposing irregular shapes to find their area. Â
3
Measurement and Data
Math.CC.3.MD.C.7
Measure to find area
https://www.khanacademy.org/e/measure-to-find-area
Practice measuring the side-lengths of a rectangle to find its area.
3
Measurement and Data
Math.CC.3.MD.C.7
Compare areas by multiplying
https://www.khanacademy.org/e/comparing-areas-by-multiplying
Compare the areas of rectangles represented in images or contexts.
3
Measurement and Data
Math.CC.3.MD.C.7
Area and the distributive property
https://www.khanacademy.org/e/area-and-the-distributive-property
Use area models to represent the distributive property in finding area of rectangles.
3
Measurement and Data
Math.CC.3.MD.C.7
Find a missing side length when given area
https://www.khanacademy.org/e/find-a-missing-side-length-when-given-area-of-a-rectangle
Practice finding a missing side length on a rectangle when given the other side length and the area.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 2
https://www.khanacademy.org/e/decompose-shapes-to-find-area
Practice decomposing irregular shapes to find their area. Â
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 1
https://www.khanacademy.org/e/decompose-figures-to-find-area-1
Practice decomposing figures into rectangles to find area. Some figures are on grids.
3
Measurement and Data
Math.CC.3.MD.C.7
Area of rectangles
https://www.khanacademy.org/e/area-of-squares-and-rectangles
Find area of rectangles and squares by multiplying side lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Transition from unit squares to area formula
https://www.khanacademy.org/e/finding-area-by-multiplying
Find area of rectangles by multiplying side-lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 1
https://www.khanacademy.org/e/decompose-figures-to-find-area-1
Practice decomposing figures into rectangles to find area. Some figures are on grids.
3
Measurement and Data
Math.CC.3.MD.C.7
Transition from unit squares to area formula
https://www.khanacademy.org/e/finding-area-by-multiplying
Find area of rectangles by multiplying side-lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Compare areas by multiplying
https://www.khanacademy.org/e/comparing-areas-by-multiplying
Compare the areas of rectangles represented in images or contexts.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 1
https://www.khanacademy.org/e/decompose-figures-to-find-area-1
Practice decomposing figures into rectangles to find area. Some figures are on grids.
3
Measurement and Data
Math.CC.3.MD.C.7
Area and the distributive property
https://www.khanacademy.org/e/area-and-the-distributive-property
Use area models to represent the distributive property in finding area of rectangles.
3
Measurement and Data
Math.CC.3.MD.C.7
Transition from unit squares to area formula
https://www.khanacademy.org/e/finding-area-by-multiplying
Find area of rectangles by multiplying side-lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 1
https://www.khanacademy.org/e/decompose-figures-to-find-area-1
Practice decomposing figures into rectangles to find area. Some figures are on grids.
3
Measurement and Data
Math.CC.3.MD.C.7
Find a missing side length when given area
https://www.khanacademy.org/e/find-a-missing-side-length-when-given-area-of-a-rectangle
Practice finding a missing side length on a rectangle when given the other side length and the area.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 1
https://www.khanacademy.org/e/decompose-figures-to-find-area-1
Practice decomposing figures into rectangles to find area. Some figures are on grids.
3
Measurement and Data
Math.CC.3.MD.C.7
Area of rectangles
https://www.khanacademy.org/e/area-of-squares-and-rectangles
Find area of rectangles and squares by multiplying side lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Transition from unit squares to area formula
https://www.khanacademy.org/e/finding-area-by-multiplying
Find area of rectangles by multiplying side-lengths.
3
Measurement and Data
Math.CC.3.MD.C.7
Decompose figures to find area 2
https://www.khanacademy.org/e/decompose-shapes-to-find-area
Practice decomposing irregular shapes to find their area. Â
3
Measurement and Data
Math.CC.3.MD.D.8
Find perimeter by counting unit squares
https://www.khanacademy.org/e/perimeter_1
Calculate the perimeter of a rectangle from its side lengths.
3
Measurement and Data
Math.CC.3.MD.D.8
Measure to find perimeter
https://www.khanacademy.org/e/measure-to-find-perimeter
Practice measuring side lengths to find perimeter.
3
Measurement and Data
Math.CC.3.MD.D.8
Find perimeter when given side lengths
https://www.khanacademy.org/e/perimeter-2
Find perimeter of figures when given an image or context. Â
3
Measurement and Data
Math.CC.3.MD.D.8
Perimeter word problems
https://www.khanacademy.org/e/perimeter-word-problems
Practice solving real world word problems involving perimeter.
3
Measurement and Data
Math.CC.3.MD.D.8
Find a missing side length when given perimeter
https://www.khanacademy.org/e/find-a-missing-side-length-when-given-perimeter
Find a missing side length for a figure when given the perimeter.
3
Measurement and Data
Math.CC.3.MD.D.8
Compare area and perimeter
https://www.khanacademy.org/e/comparing-area-and-perimeter
Compare the areas and perimeters of rectangles when given a context or picture.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.1
Round to nearest 10 or 100
https://www.khanacademy.org/e/rounding-to-the-nearest-ten-or-hundred
Practice rounding to the nearest ten and rounding to the nearest hundred.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.1
Rounding challenge
https://www.khanacademy.org/e/rounding-challenge
Give your brain a workout with these challenge problems on rounding.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.1
Round to nearest 10 or 100 on the number line
https://www.khanacademy.org/e/rounding-to-the-nearest-10-or-100-on-the-number-line
Practice rounding to the nearest ten and rounding to the nearest hundred on the number line.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.2
Break apart 3-digit addition problems
https://www.khanacademy.org/e/break-apart-three-dig-add
Practice breaking apart big addition problems using place value. For example, 234+567 is the same as 200+500+30+60+4+7.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.2
Add within 1000
https://www.khanacademy.org/e/addition_4
Practice adding three-digit numbers. All sums are 1000 or less.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.2
Subtract within 1000
https://www.khanacademy.org/e/subtraction_4
Subtract with 2 numbers less than 1000.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.2
Estimate to add and subtract multi-digit whole numbers
https://www.khanacademy.org/e/estimate-to-add-multi-digit-whole-numbers-
Use estimation to find a reasonable solution to multi-digit addition and subtraction problems. Numbers are less than or equal to 1000.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.2
Add using groups of 10 and 100
https://www.khanacademy.org/e/making-100-and-1000
Practice making groups of 10 and 100 while adding 3-digit numbers.Â
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.3
Multiply by tens
https://www.khanacademy.org/e/multiplication_1
Multiply a 1-digit number by a multiple of 10.
3
Number and Operations in Base Ten
Math.CC.3.NBT.A.3
Multiply by tens word problems
https://www.khanacademy.org/e/multiply-by-tens-word-problems
Solve word problems with multiples of ten. Â Decompose multiples of ten to multiply.Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.1
Identify unit fractions
https://www.khanacademy.org/e/cutting-shapes-into-equal-parts
Identify unit fractions when given a visual or a context.
3
Number and Operations: Fractions
Math.CC.3.NF.A.1
Identify numerators and denominators
https://www.khanacademy.org/e/recognizing_fractions
Practice identifying numerators and denominators in fractions.
3
Number and Operations: Fractions
Math.CC.3.NF.A.1
Recognize fractions
https://www.khanacademy.org/e/recognizing_fractions_0.5
Identify the fraction of a whole that is shaded. Â Fractions are less than 1.
3
Number and Operations: Fractions
Math.CC.3.NF.A.1
Recognize fractions greater than 1
https://www.khanacademy.org/e/fractions-greater-than-one
Identify the fraction of a whole that is shaded. Â Fractions are greater than or equal to one. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.1
Cut shapes into equal parts
https://www.khanacademy.org/e/that-s-not-fair-
Practice telling if a shape has been divided into equal parts.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Find 1 on the number line
https://www.khanacademy.org/e/finding-1-on-the-number-line
Locate 1 on a number line labeled with 0 and a unit fraction.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Unit fractions on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_2
Use unit fractions to think about the location of other fractions on the number line.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Fractions on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_1
Plot and spot fractions on the number line.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Find 1 on the number line
https://www.khanacademy.org/e/finding-1-on-the-number-line
Locate 1 on a number line labeled with 0 and a unit fraction.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Fractions on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_1
Plot and spot fractions on the number line.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Find 1 on the number line
https://www.khanacademy.org/e/finding-1-on-the-number-line
Locate 1 on a number line labeled with 0 and a unit fraction.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Fractions on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_1
Plot and spot fractions on the number line.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Unit fractions on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_2
Use unit fractions to think about the location of other fractions on the number line.
3
Number and Operations: Fractions
Math.CC.3.NF.A.2
Unit fractions on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_2
Use unit fractions to think about the location of other fractions on the number line.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fractions on the number line
https://www.khanacademy.org/e/equivalent-fraction-models
Graph and identify equivalent fractions on a number line. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Write fractions as whole numbers
https://www.khanacademy.org/e/writing-fractions-as-whole-numbers
Represent fractions as whole numbers and whole numbers as fractions.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Visually compare fractions 1
https://www.khanacademy.org/e/comparing-fractions-with-the-same-numerator-or-denominator
Practice comparing fractions with the help of visuals aides.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fraction models
https://www.khanacademy.org/e/equivalent-fraction-models-1
Identify and create equivalent fractions using visual models. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same denominator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_denominator
Compare two fractions that have the same denominator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Write fractions as whole numbers
https://www.khanacademy.org/e/writing-fractions-as-whole-numbers
Represent fractions as whole numbers and whole numbers as fractions.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_numerator
Compare two fractions that have the same numerator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator or denominator
https://www.khanacademy.org/e/comparing_fractions_1
Compare two fractions that have either the same numerator or denominator. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_numerator
Compare two fractions that have the same numerator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same denominator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_denominator
Compare two fractions that have the same denominator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fractions on the number line
https://www.khanacademy.org/e/equivalent-fraction-models
Graph and identify equivalent fractions on a number line. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fraction models
https://www.khanacademy.org/e/equivalent-fraction-models-1
Identify and create equivalent fractions using visual models. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Write fractions as whole numbers
https://www.khanacademy.org/e/writing-fractions-as-whole-numbers
Represent fractions as whole numbers and whole numbers as fractions.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_numerator
Compare two fractions that have the same numerator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions of different wholes
https://www.khanacademy.org/e/naming-the-whole
Compare two fractions based on the whole that each one refers to.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fractions on the number line
https://www.khanacademy.org/e/equivalent-fraction-models
Graph and identify equivalent fractions on a number line. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same denominator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_denominator
Compare two fractions that have the same denominator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Write fractions as whole numbers
https://www.khanacademy.org/e/writing-fractions-as-whole-numbers
Represent fractions as whole numbers and whole numbers as fractions.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator or denominator
https://www.khanacademy.org/e/comparing_fractions_1
Compare two fractions that have either the same numerator or denominator. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Visually compare fractions 1
https://www.khanacademy.org/e/comparing-fractions-with-the-same-numerator-or-denominator
Practice comparing fractions with the help of visuals aides.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fraction models
https://www.khanacademy.org/e/equivalent-fraction-models-1
Identify and create equivalent fractions using visual models. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_numerator
Compare two fractions that have the same numerator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions of different wholes
https://www.khanacademy.org/e/naming-the-whole
Compare two fractions based on the whole that each one refers to.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_numerator
Compare two fractions that have the same numerator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Visually compare fractions 1
https://www.khanacademy.org/e/comparing-fractions-with-the-same-numerator-or-denominator
Practice comparing fractions with the help of visuals aides.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same denominator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_denominator
Compare two fractions that have the same denominator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fractions on the number line
https://www.khanacademy.org/e/equivalent-fraction-models
Graph and identify equivalent fractions on a number line. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator or denominator
https://www.khanacademy.org/e/comparing_fractions_1
Compare two fractions that have either the same numerator or denominator. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Visually compare fractions 1
https://www.khanacademy.org/e/comparing-fractions-with-the-same-numerator-or-denominator
Practice comparing fractions with the help of visuals aides.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Write fractions as whole numbers
https://www.khanacademy.org/e/writing-fractions-as-whole-numbers
Represent fractions as whole numbers and whole numbers as fractions.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions of different wholes
https://www.khanacademy.org/e/naming-the-whole
Compare two fractions based on the whole that each one refers to.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Visually compare fractions 1
https://www.khanacademy.org/e/comparing-fractions-with-the-same-numerator-or-denominator
Practice comparing fractions with the help of visuals aides.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator or denominator
https://www.khanacademy.org/e/comparing_fractions_1
Compare two fractions that have either the same numerator or denominator. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fraction models
https://www.khanacademy.org/e/equivalent-fraction-models-1
Identify and create equivalent fractions using visual models. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same denominator
https://www.khanacademy.org/e/comparing_fractions_with_the_same_denominator
Compare two fractions that have the same denominator using greater and less than symbols.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions of different wholes
https://www.khanacademy.org/e/naming-the-whole
Compare two fractions based on the whole that each one refers to.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Relate fractions to 1
https://www.khanacademy.org/e/relate-fractions-to-1
Determine whether fractions are greater than, less than, or equal to one.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions with the same numerator or denominator
https://www.khanacademy.org/e/comparing_fractions_1
Compare two fractions that have either the same numerator or denominator. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Compare fractions of different wholes
https://www.khanacademy.org/e/naming-the-whole
Compare two fractions based on the whole that each one refers to.
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fraction models
https://www.khanacademy.org/e/equivalent-fraction-models-1
Identify and create equivalent fractions using visual models. Â
3
Number and Operations: Fractions
Math.CC.3.NF.A.3
Equivalent fractions on the number line
https://www.khanacademy.org/e/equivalent-fraction-models
Graph and identify equivalent fractions on a number line. Â
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.1
Multiply with arrays
https://www.khanacademy.org/e/multiplying-with-arrays
Practice multiplying 1-digit numbers using arrays.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.1
Meaning of multiplication
https://www.khanacademy.org/e/meaning-of-multiplication
Practice representing multiplication as equal groups, repeated addition, or arrays.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.2
Divide with visuals
https://www.khanacademy.org/e/dividing-with-visuals
Practice basic division using various visuals, such as arrays.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.2
Meaning of division
https://www.khanacademy.org/e/meaning-of-division
Use visual models to understand division.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.3
Relate division to multiplication word problems
https://www.khanacademy.org/e/relate-division-to-multiplication-word-problems
Find both the multiplication and division equation that can be used to solve a word problem.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.3
Multiplication and division word problems (within 100)
https://www.khanacademy.org/e/multiplication-and-division-word-problems--within-100-
Solve word problems involving multiplication and division. Solutions will be less than or equal to 100.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.4
Find missing factors (1-digit multiplication)
https://www.khanacademy.org/e/finding-missing-factors--1-digit-multiplication-
Find missing factors in 1-digit multiplication problems. Products are less than or equal to 100.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.4
Basic multiplication
https://www.khanacademy.org/e/multiplication_0.5
Multiply two 1-digit numbers. Some problems include multiplying by 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.4
Letters and symbols in multiplication and division equations
https://www.khanacademy.org/e/letters-and-symbols-in-multiplication-and-division-equations
Practice solving for unknown letters and symbols in equations.
3
Operations and Algebraic Thinking
Math.CC.3.OA.A.4
Find missing divisors and dividends (1-digit division)
https://www.khanacademy.org/e/division_1
Find missing divisors and dividends in 1-digit division problems. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.B.5
Associative property of multiplication
https://www.khanacademy.org/e/associative-property-of-multiplication-
Practice changing the grouping of factors in multiplication problems and see how it affects the product.
3
Operations and Algebraic Thinking
Math.CC.3.OA.B.5
Commutative property of multiplication
https://www.khanacademy.org/e/commutative-property-of-multiplication
Practice changing the order of factors in a multiplication problem and see how it affects the product.
3
Operations and Algebraic Thinking
Math.CC.3.OA.B.5
Distributive property of multiplication
https://www.khanacademy.org/e/distributive-property-of-multiplication-
Practice decomposing the factors in multiplication problems and see how it affects the product.
3
Operations and Algebraic Thinking
Math.CC.3.OA.B.6
Relate division to multiplication word problems
https://www.khanacademy.org/e/relate-division-to-multiplication-word-problems
Find both the multiplication and division equation that can be used to solve a word problem.
3
Operations and Algebraic Thinking
Math.CC.3.OA.B.6
Relate division to multiplication
https://www.khanacademy.org/e/relate-division-to-multiplication
See the relationship between multiplication and division problems.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 5
https://www.khanacademy.org/e/dividing-by-5
Divide by 5. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 4
https://www.khanacademy.org/e/dividing-by-4
Divide by 4. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 5
https://www.khanacademy.org/e/multiplying-by-5
Multiply 5 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Basic multiplication
https://www.khanacademy.org/e/multiplication_0.5
Multiply two 1-digit numbers. Some problems include multiplying by 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Find missing divisors and dividends (1-digit division)
https://www.khanacademy.org/e/division_1
Find missing divisors and dividends in 1-digit division problems. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Relate repeated addition to multiplication
https://www.khanacademy.org/e/relate-repeated-addition-to-multiplication
Practice transitioning from repeated addition to multiplication. Understand that '5+5+5' is the same as '3 fives' or '3x5'.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 3
https://www.khanacademy.org/e/dividing-by-3
Divide by 3. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 8
https://www.khanacademy.org/e/multiplying-by-8
Multiply 8 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Whole numbers on the number line
https://www.khanacademy.org/e/number_line
Practice skip counting to find a number on a number line with only two tick marks labeled.Â
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 6
https://www.khanacademy.org/e/multiplying-by-6
Multiply 6 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 2
https://www.khanacademy.org/e/multiplying-by-2
Multiply 2 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 1
https://www.khanacademy.org/e/dividing-by-1
Divide by 1. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 6
https://www.khanacademy.org/e/dividing-by-6
Divide by 6. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 10
https://www.khanacademy.org/e/dividing-by-10
Divide by 10. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 2
https://www.khanacademy.org/e/dividing-by-2
Divide by 2. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 3
https://www.khanacademy.org/e/multiplying-by-3
Multiply 3 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Basic division
https://www.khanacademy.org/e/division_0.5
Divide two numbers. Â Quotients are equal to or less than 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 4
https://www.khanacademy.org/e/multiplying-by-4
Multiply 4 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 8
https://www.khanacademy.org/e/dividing-by-8
Divide by 8. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 9
https://www.khanacademy.org/e/dividing-by-9
Divide by 9. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 7
https://www.khanacademy.org/e/multiplying-by-7
Multiply 7 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 9
https://www.khanacademy.org/e/multiplying-by-9
Multiply 9 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Multiply by 0 or 1
https://www.khanacademy.org/e/multiplying-by-0-or-1
Multiply 0 or 1 times a number less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Divide by 7
https://www.khanacademy.org/e/dividing-by-7
Divide by 7. Â Quotients are less than or equal to 10.
3
Operations and Algebraic Thinking
Math.CC.3.OA.C.7
Find missing factors (1-digit multiplication)
https://www.khanacademy.org/e/finding-missing-factors--1-digit-multiplication-
Find missing factors in 1-digit multiplication problems. Products are less than or equal to 100.
3
Operations and Algebraic Thinking
Math.CC.3.OA.D.8
2-step estimation word problems
https://www.khanacademy.org/e/2-step-estimation-word-problems
Use estimation to solve two-step word problems involving addition, subtraction, multiplication, and division. Â
3
Operations and Algebraic Thinking
Math.CC.3.OA.D.8
2-step word problems
Solve two-step word problems with addition, subtraction, multiplication, and division. Â Some questions include estimation. Â
3
Operations and Algebraic Thinking
Math.CC.3.OA.D.8
Represent 2-step word problems with equations
https://www.khanacademy.org/e/represent-2-step-word-problems-using-equations
Represent two-step word problems using equations with a letter standing for the unknown quantity. Equations include addition, subtraction, multiplication, and division.
3
Operations and Algebraic Thinking
Math.CC.3.OA.D.9
Patterns with even and odd
https://www.khanacademy.org/e/patterns-with-even-and-odd
Use an understanding of even and odd numbers to figure out number patterns.
3
Operations and Algebraic Thinking
Math.CC.3.OA.D.9
Math patterns 1
https://www.khanacademy.org/e/patterns
Identify arithmetic patterns (including ones in the addition or multiplication tables), and explain them using properties of operations.
3
Operations and Algebraic Thinking
Math.CC.3.OA.D.9
Patterns in multiplication tables
https://www.khanacademy.org/e/patterns-in-the-addition-table-and-multiplication-table
Practice discovering and explaining patterns in multiplication tables.
4
Geometry
Math.CC.4.G.A.1
Draw right, acute, and obtuse angles
https://www.khanacademy.org/e/drawing-right--acute--and-obtuse-angles
Create an acute, right, or obtuse angle using a given vertex.
4
Geometry
Math.CC.4.G.A.1
Angle types
https://www.khanacademy.org/e/angle_types
Determine if an angle is acute, right, or obtuse. Â A protractor is provided.
4
Geometry
Math.CC.4.G.A.1
Draw rays, lines, & line segments
https://www.khanacademy.org/e/drawing-lines
Draw rays, lines, and line segments with given points. Â
4
Geometry
Math.CC.4.G.A.1
Identify rays, lines, & line segments
https://www.khanacademy.org/e/recognizing_rays_lines_and_line_segments
Recognize rays, lines, and line segments in geometric figures.
4
Geometry
Math.CC.4.G.A.1
Identify parallel and perpendicular lines
https://www.khanacademy.org/e/recognizing-parallel-and-perpendicular-lines
Recognize parallel and perpendicular lines in geometric figures and pictures.Â
4
Geometry
Math.CC.4.G.A.1
Draw parallel and perpendicular lines
https://www.khanacademy.org/e/drawing-parallel-and-perpendicular-lines
Practice drawing parallel and perpendicular lines, line segments, and ray.
4
Geometry
Math.CC.4.G.A.1
Recognize angles
https://www.khanacademy.org/e/recognizing-angles
Determine if angles in shapes and pictures are acute, right, or obtuse.
4
Geometry
Math.CC.4.G.A.2
Identify triangles by angles
https://www.khanacademy.org/e/identifying-triangles-by-angles
Practice identifying triangles by their angles as acute, right, or obtuse.
4
Geometry
Math.CC.4.G.A.2
Identify triangles by side lengths
https://www.khanacademy.org/e/recognizing-triangles
Practice identifying triangles by their side-lengths as equilateral, isosceles, or scalene.
4
Geometry
Math.CC.4.G.A.2
Classify shapes by line and angle types
https://www.khanacademy.org/e/classifying-shapes-by-line-and-angle-types
Classify shapes based on pictures or attributes, such as angle types and side-lengths.Â
4
Geometry
Math.CC.4.G.A.3
Draw lines of symmetry and symmetrical figures
https://www.khanacademy.org/e/drawing-lines-of-symmetry-and-symmetrical-figures
Practice drawing lines of symmetry and creating symmetrical figures.
4
Geometry
Math.CC.4.G.A.3
Identify lines of symmetry
https://www.khanacademy.org/e/axis_of_symmetry
Practice identifying lines of symmetry on shapes.
4
Geometry
Math.CC.4.G.A.3
Identify symmetrical figures
https://www.khanacademy.org/e/identify-symmetrical-figures
Practice identifying symmetrical shapes.
4
Measurement and Data
Math.CC.4.MD.A.1
Estimate mass (grams and kilograms)
https://www.khanacademy.org/e/estimating-mass
Practice estimating the mass of real life objects using grams and kilograms.
4
Measurement and Data
Math.CC.4.MD.A.1
Estimating volume (cups, pints, quarts, and gallons)
https://www.khanacademy.org/e/estimating-volume--cups--pints--quarts--and-gallons-
Practice estimating the volume of real life objects using US customary units.
4
Measurement and Data
Math.CC.4.MD.A.1
Estimate volume (milliliters and liters)
https://www.khanacademy.org/e/estimating-volume
Practice estimating the volume of real life objects using milliliters and liters.
4
Measurement and Data
Math.CC.4.MD.A.1
Estimating length (mm, cm, m, km)
https://www.khanacademy.org/e/estimating-length--millimeters--centimeters--meters--kilometers-
Practice estimating the length of real life objects using metric units.
4
Measurement and Data
Math.CC.4.MD.A.1
Convert to smaller units (sec, min, & hr)
https://www.khanacademy.org/e/measurement-units
Practice converting a measure of time to a smaller unit. Â
4
Measurement and Data
Math.CC.4.MD.A.1
Convert to smaller units (in, ft, yd, & mi)
Practice converting a US customary measure of length to a smaller unit.
4
Measurement and Data
Math.CC.4.MD.A.1
Estimating time (seconds, minutes, and hours)
https://www.khanacademy.org/e/unit-sense
Practice estimating the length of an event using seconds, minutes, and hours.
4
Measurement and Data
Math.CC.4.MD.A.1
Convert to smaller units (g and kg)
https://www.khanacademy.org/e/converting-larger-units-to-smaller-units--grams-and-kilograms-
Practice converting a metric measure of mass to a smaller unit.
4
Measurement and Data
Math.CC.4.MD.A.1
Estimating length (in, ft, yd, and mi)
https://www.khanacademy.org/e/estimating-length--inches--feet--yards--and-miles-
Practice estimating the length of real life objects using US customary units.
4
Measurement and Data
Math.CC.4.MD.A.1
Convert to smaller units (mm, cm, m, & km)
Practice converting a metric measure of length to a smaller unit.
4
Measurement and Data
Math.CC.4.MD.A.1
Estimating mass (ounces and pounds)
https://www.khanacademy.org/e/estimating-mass--ounces-and-pounds-
Practice estimating the mass of real life objects using US customary units.
4
Measurement and Data
Math.CC.4.MD.A.1
Convert to smaller units (mL and L)
https://www.khanacademy.org/e/converting-larger-units-to-smaller-units--milliliters-and-liters-
Practice converting a metric measure of volume to a smaller unit.
4
Measurement and Data
Math.CC.4.MD.A.1
Convert to smaller units (c, pt, qt, & gal)
Practice converting a US customary measure of volume to a smaller unit.
4
Measurement and Data
Math.CC.4.MD.A.1
Convert to smaller units (oz and lb)
https://www.khanacademy.org/e/converting-larger-units-to-smaller-units--ounces-and-pounds-
Practice converting a US customary measure of mass to a smaller unit. Â
4
Measurement and Data
Math.CC.4.MD.A.2
Metric conversions word problems
https://www.khanacademy.org/e/metric-conversions-word-problems
Practice metric length, volume, and mass problems that require expressing measurements given in a larger unit in terms of a smaller unit.
4
Measurement and Data
Math.CC.4.MD.A.2
Convert money word problems
https://www.khanacademy.org/e/measuring-and-converting-money-word-problems
Solve word problems that involve converting between U.S. dollars and cents and converting U.S. dollars to other units of money, like pesos. Â
4
Measurement and Data
Math.CC.4.MD.A.2
Time differences
https://www.khanacademy.org/e/time-differences--over-the-hour-
Practice finding the difference between times given on two analog clocks. Time differences cross over the hour.
4
Measurement and Data
Math.CC.4.MD.A.2
US customary conversion word problems
https://www.khanacademy.org/e/us-customary-conversion-word-problems
Practice US customary length, volume, and mass problems that require expressing measurements given in a larger unit in terms of a smaller unit.
4
Measurement and Data
Math.CC.4.MD.A.2
Time conversion word problems
https://www.khanacademy.org/e/measuring-time-word-problems
Solve word problems to find what time an event occurred or how long an event lasted.
4
Measurement and Data
Math.CC.4.MD.A.2
Telling time word problems
https://www.khanacademy.org/e/telling-time-word-problems-
Solve a word problem to find the duration of an event. Both analog or digital clocks are included. Time in the word problems crosses over the hour.
4
Measurement and Data
Math.CC.4.MD.A.3
Area & perimeter of rectangles word problems
https://www.khanacademy.org/e/area-and-perimeter-of-rectangles-word-problems
Find the missing side length of a rectangle when given its perimeter or area. Â Compare perimeters and areas of rectangles.
4
Measurement and Data
Math.CC.4.MD.A.3
Area of squares and rectangles
https://www.khanacademy.org/e/area_of_squares_and_rectangles
Find the area of rectangles and squares when given side lengths. Â Find the side length of a square when given the area.
4
Measurement and Data
Math.CC.4.MD.B.4
Interpret dot plots with fractions 1
https://www.khanacademy.org/e/interpreting-line-plots-with-fraction-addition-and-subtraction
Create and interpret dot plots using data with fractions. Â Fraction operations include addition and subtraction.
4
Measurement and Data
Math.CC.4.MD.C.5
Name angles
https://www.khanacademy.org/e/naming-angles
Name angles by their vertex, endpoints, or labels. Â
4
Measurement and Data
Math.CC.4.MD.C.5
Angles in circles
https://www.khanacademy.org/e/angles-in-circles
Practice measuring angles using a circle protractor, solve problems about angles as part of a circle.
4
Measurement and Data
Math.CC.4.MD.C.5
Angle basics
https://www.khanacademy.org/e/angle-basics
Determine which angle has a greater measure by looking at the size of the opening between the angle's rays.
4
Measurement and Data
Math.CC.4.MD.C.5
Name angles
https://www.khanacademy.org/e/naming-angles
Name angles by their vertex, endpoints, or labels. Â
4
Measurement and Data
Math.CC.4.MD.C.5
Angles in circles
https://www.khanacademy.org/e/angles-in-circles
Practice measuring angles using a circle protractor, solve problems about angles as part of a circle.
4
Measurement and Data
Math.CC.4.MD.C.5
Angle basics
https://www.khanacademy.org/e/angle-basics
Determine which angle has a greater measure by looking at the size of the opening between the angle's rays.
4
Measurement and Data
Math.CC.4.MD.C.5
Benchmark angles
https://www.khanacademy.org/e/benchmark-angles
Estimate the size of angles when given a picture or a situation.
4
Measurement and Data
Math.CC.4.MD.C.5
Benchmark angles
https://www.khanacademy.org/e/benchmark-angles
Estimate the size of angles when given a picture or a situation.
4
Measurement and Data
Math.CC.4.MD.C.5
Benchmark angles
https://www.khanacademy.org/e/benchmark-angles
Estimate the size of angles when given a picture or a situation.
4
Measurement and Data
Math.CC.4.MD.C.5
Name angles
https://www.khanacademy.org/e/naming-angles
Name angles by their vertex, endpoints, or labels. Â
4
Measurement and Data
Math.CC.4.MD.C.5
Angles in circles
https://www.khanacademy.org/e/angles-in-circles
Practice measuring angles using a circle protractor, solve problems about angles as part of a circle.
4
Measurement and Data
Math.CC.4.MD.C.5
Angle basics
https://www.khanacademy.org/e/angle-basics
Determine which angle has a greater measure by looking at the size of the opening between the angle's rays.
4
Measurement and Data
Math.CC.4.MD.C.6
Measure angles
https://www.khanacademy.org/e/measuring_angles
Measure angles using a protractor.Â
4
Measurement and Data
Math.CC.4.MD.C.6
Draw angles
https://www.khanacademy.org/e/drawing-angles
Use a protractor to construct angles.
4
Measurement and Data
Math.CC.4.MD.C.6
Angles in circles
https://www.khanacademy.org/e/angles-in-circles
Practice measuring angles using a circle protractor, solve problems about angles as part of a circle.
4
Measurement and Data
Math.CC.4.MD.C.7
Decompose angles
https://www.khanacademy.org/e/decomposing-angles
Find an angle's measure when given the measures of its parts.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.1
Divide whole numbers by 10
https://www.khanacademy.org/e/dividing-whole-numbers-by-10
Practice dividing whole numbers by 10.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.1
Creating largest or smallest number
https://www.khanacademy.org/e/creating-largest-or-smallest-number
Sal arranges digits to make the largest or smallest possible number.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.1
Place value when multiplying and dividing by 10
https://www.khanacademy.org/e/understanding-place-value-1
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.1
Multiply and divide by 10
https://www.khanacademy.org/e/multiplying-and-dividing-by-10
Practice multiplying and dividing whole numbers by ten.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.1
Multiply whole numbers by 10
https://www.khanacademy.org/e/multiplying-by-10
Practice multiplying whole numbers by 10.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.1
Place value blocks
https://www.khanacademy.org/e/place-value-blocks
Practice using place value blocks.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.2
Write numbers in written form
https://www.khanacademy.org/e/numbers-in-written-form
Practice working with whole numbers in written form. For example, "one thousand four hundred three" is the written form of 1403.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.2
Compare multi-digit numbers
https://www.khanacademy.org/e/comparing-multi-digit-numbers
Use your place value skills to practice comparing whole numbers.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.2
Write whole numbers in expanded form
https://www.khanacademy.org/e/numbers-in-expanded-form
Practice reading and writing numbers written in expanded form. Example: The expanded form of 376 is 300 + 70 + 6.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.2
Whole number place value challenge
https://www.khanacademy.org/e/understanding-whole-number-representations
Practice problems to challenge your understanding of whole number place value
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.2
Compare multi-digit numbers word problems
https://www.khanacademy.org/e/compare-multi-digit-numbers-word-problems
Solve word problems by comparing whole numbers.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.2
Intro to place value
https://www.khanacademy.org/e/place_value
Practice thinking about the value of each digit in a number.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.2
Compare numbers: place value challenge
https://www.khanacademy.org/e/comparing-multi-digit-numbers-pv-challenge
Compare multi-digit numbers that challenge your place value understanding
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.3
Round whole numbers challenge
https://www.khanacademy.org/e/rounding-whole-numbers-2
More challenging practice problems where you round whole numbers to the nearest hundred or thousand
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.3
Round whole numbers word problems
https://www.khanacademy.org/e/round-whole-numbers-word-problems
Solve word problems by rounding whole numbers.
4
Number and Operations in Base Ten
Math.CC.4.NBT.A.3
Round whole numbers
https://www.khanacademy.org/e/rounding_whole_numbers
Practice rounding whole numbers to the nearest hundred or thousand. Â
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.4
Multi-digit addition
https://www.khanacademy.org/e/multi-digit-addition
Add whole numbers with sums less than 1,000,000.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.4
Multi-digit subtraction
https://www.khanacademy.org/e/multi-digit-subtraction
Subtract whole numbers that are less than or equal to 1,000,000.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply 2-digit numbers
https://www.khanacademy.org/e/multiplication_3
Multiply 2-digit numbers by 2-digit numbers. Regrouping (carrying) needed.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply with regrouping
https://www.khanacademy.org/e/multiplication_2
Multiply 3- or 4-digit numbers by 1-digit numbers. Regrouping (carrying) needed.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply using place value
https://www.khanacademy.org/e/multiplication-with-place-value-understanding
Multiply a 1-digit number by a multi-digit number by decomposing the multi-digit number.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply 1-digit numbers by 10, 100, and 1000
https://www.khanacademy.org/e/multiply-1-digit-number-by-10--100-1000
Practice multiplication problems like 5x100=500.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiplying 10s
https://www.khanacademy.org/e/multiplying-tens
Practice multiplying 2-digit multiples of 10, such as 50x70=3500.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply 2-digit numbers with area models
https://www.khanacademy.org/e/multiplying-2-digit-numbers-with-area-models
Use an area model to decompose factors and multiply. Â Â
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply 1-digit numbers by a multiple of 10, 100, and 1000
https://www.khanacademy.org/e/multiply-1-digit-number-by-multiple-of-10-100-1000
Practice multiplication problems like 5x500=2500.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply without regrouping
https://www.khanacademy.org/e/multiplication_1.5
Multiply 2- or 3-digit numbers by 1-digit numbers. No regrouping or carrying.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.5
Multiply 2-, 3-, and 4-digits by 1-digit with area models
https://www.khanacademy.org/e/multiplying-by-4-digit-numbers-with-visual-models
Use an area model to decompose the larger factor and multiply. Â
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Divide with remainders (basic)
https://www.khanacademy.org/e/division-with-remainders-1
Practice finding remainders in small division problems, like 24÷5.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Cancel zeros when dividing
https://www.khanacademy.org/e/cancelling-zeros-in-division
Learn to cancel zeros when dividing numbers like 3000 and 50.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Quotients that are multiples of 10
https://www.khanacademy.org/e/quotients-that-are-multiples-of-10
Practice division problems that work out to multiples of ten. Example: 1200 ÷ 30 = 40.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Divide by 1-digit numbers (visual models)
https://www.khanacademy.org/e/multi-digit-division-with-visual-models
Practice breaking up big division problems into smaller, simpler problems.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Zeros in the quotient (no remainders)
https://www.khanacademy.org/e/zeros-in-the-quotient-no-remainders
Practice solving division problems with 0s in the solution, or quotient.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Divide with remainders
https://www.khanacademy.org/e/division_2
Practice finding remainders in division problems, like 247÷5.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Divide by 1-digit numbers (no remainders)
https://www.khanacademy.org/e/division_1.5
Practice dividing 2-, 3-, and 4-digit numbers by a 1-digit number.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Divide using place value
https://www.khanacademy.org/e/division-using-place-value-understanding
Decompose 3- and 4-digit dividends to divide them by a 1-digit divisor. Â
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Intro to remainders
https://www.khanacademy.org/e/understanding-remainders
Use arrays, area models, and practice problems to understand remainders.
4
Number and Operations in Base Ten
Math.CC.4.NBT.B.6
Zeros in the dividend (no remainders)
https://www.khanacademy.org/e/zeros-in-the-dividend-no-remainders
Practice solving division problems with 0s in the dividend (for example, 204÷4).
4
Number and Operations: Fractions
Math.CC.4.NF.A.1
Equivalent fractions
https://www.khanacademy.org/e/equivalent_fractions
Practice making equivalent fractions by multiplying the numerator and denominator by the same number.
4
Number and Operations: Fractions
Math.CC.4.NF.A.1
Equivalent fractions (fraction models)
https://www.khanacademy.org/e/visualizing-equivalent-fractions
Practice finding equivalent fractions. These problems show you pictures of fractions to help you out.
4
Number and Operations: Fractions
Math.CC.4.NF.A.2
Common denominators
https://www.khanacademy.org/e/common-denominators
Practice rewriting fractions to have the same denominator.
4
Number and Operations: Fractions
Math.CC.4.NF.A.2
Compare fractions with different numerators and denominators
https://www.khanacademy.org/e/comparing_fractions_2
Practice comparing two fractions with different denominators with greater and less than symbols.Â
4
Number and Operations: Fractions
Math.CC.4.NF.A.2
Order fractions
https://www.khanacademy.org/e/ordering_fractions
Practice ordering 3 fractions from least to greatest.Â
4
Number and Operations: Fractions
Math.CC.4.NF.A.2
Compare fractions and mixed numbers
https://www.khanacademy.org/e/comparing_improper_fractions_and_mixed_numbers
Practice comparing fractions and mixed numbers that have unlike denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.A.2
Equivalent fractions and different wholes
https://www.khanacademy.org/e/different-wholes
Practice using the same whole to find equivalent fractions.
4
Number and Operations: Fractions
Math.CC.4.NF.A.2
Visually compare fractions with unlike denominators
https://www.khanacademy.org/e/visually-comparing-fractions
Practice comparing fractions by looking at pictures. Fractions in these problems do not have common denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (no regrouping)
https://www.khanacademy.org/e/adding_subtracting_mixed_numbers_0.5
Practice adding and subtracting mixed numbers with common (like) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add fractions with common denominators
https://www.khanacademy.org/e/adding_fractions_with_common_denominators
Add two fractions with the like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (with regrouping)
https://www.khanacademy.org/e/adding-and-subtracting-mixed-numbers-with-like-denominators-2
Practice adding and subtracting mixed numbers with common (like) denominators. Items require regrouping (borrowing).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Decompose fractions
https://www.khanacademy.org/e/decomposing-fractions
Practice decomposing fractions (breaking fractions into parts that can be added together).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract fractions word problems (same denominator)
https://www.khanacademy.org/e/adding-and-subtracting-fractions-with-like-denominators-word-problems
Practice solving word problems by adding and subtracting fractions. The fractions used in these problems have like (common) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Rewrite mixed numbers and improper fractions
https://www.khanacademy.org/e/converting_mixed_numbers_and_improper_fractions
Practice writing a fraction as a mixed number and vice versa.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers word problems (like denominators)
https://www.khanacademy.org/e/add-and-subtract-mixed-numbers-word-problems--like-denominators-
Solve addition and subtraction word problems involving fractions and mixed numbers. Fractions and mixed numbers have common denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (no regrouping)
https://www.khanacademy.org/e/adding_subtracting_mixed_numbers_0.5
Practice adding and subtracting mixed numbers with common (like) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add fractions with common denominators
https://www.khanacademy.org/e/adding_fractions_with_common_denominators
Add two fractions with the like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (with regrouping)
https://www.khanacademy.org/e/adding-and-subtracting-mixed-numbers-with-like-denominators-2
Practice adding and subtracting mixed numbers with common (like) denominators. Items require regrouping (borrowing).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers word problems (like denominators)
https://www.khanacademy.org/e/add-and-subtract-mixed-numbers-word-problems--like-denominators-
Solve addition and subtraction word problems involving fractions and mixed numbers. Fractions and mixed numbers have common denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Subtract fractions with common denominators
https://www.khanacademy.org/e/subtracting_fractions_with_common_denominators
Solve a subtraction problem with two fractions with like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Decompose fractions
https://www.khanacademy.org/e/decomposing-fractions
Practice decomposing fractions (breaking fractions into parts that can be added together).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract fractions word problems (same denominator)
https://www.khanacademy.org/e/adding-and-subtracting-fractions-with-like-denominators-word-problems
Practice solving word problems by adding and subtracting fractions. The fractions used in these problems have like (common) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Rewrite mixed numbers and improper fractions
https://www.khanacademy.org/e/converting_mixed_numbers_and_improper_fractions
Practice writing a fraction as a mixed number and vice versa.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (no regrouping)
https://www.khanacademy.org/e/adding_subtracting_mixed_numbers_0.5
Practice adding and subtracting mixed numbers with common (like) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add fractions with common denominators
https://www.khanacademy.org/e/adding_fractions_with_common_denominators
Add two fractions with the like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (with regrouping)
https://www.khanacademy.org/e/adding-and-subtracting-mixed-numbers-with-like-denominators-2
Practice adding and subtracting mixed numbers with common (like) denominators. Items require regrouping (borrowing).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Subtract fractions with common denominators
https://www.khanacademy.org/e/subtracting_fractions_with_common_denominators
Solve a subtraction problem with two fractions with like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Decompose fractions
https://www.khanacademy.org/e/decomposing-fractions
Practice decomposing fractions (breaking fractions into parts that can be added together).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract fractions word problems (same denominator)
https://www.khanacademy.org/e/adding-and-subtracting-fractions-with-like-denominators-word-problems
Practice solving word problems by adding and subtracting fractions. The fractions used in these problems have like (common) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Rewrite mixed numbers and improper fractions
https://www.khanacademy.org/e/converting_mixed_numbers_and_improper_fractions
Practice writing a fraction as a mixed number and vice versa.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers word problems (like denominators)
https://www.khanacademy.org/e/add-and-subtract-mixed-numbers-word-problems--like-denominators-
Solve addition and subtraction word problems involving fractions and mixed numbers. Fractions and mixed numbers have common denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers word problems (like denominators)
https://www.khanacademy.org/e/add-and-subtract-mixed-numbers-word-problems--like-denominators-
Solve addition and subtraction word problems involving fractions and mixed numbers. Fractions and mixed numbers have common denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (no regrouping)
https://www.khanacademy.org/e/adding_subtracting_mixed_numbers_0.5
Practice adding and subtracting mixed numbers with common (like) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add fractions with common denominators
https://www.khanacademy.org/e/adding_fractions_with_common_denominators
Add two fractions with the like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (with regrouping)
https://www.khanacademy.org/e/adding-and-subtracting-mixed-numbers-with-like-denominators-2
Practice adding and subtracting mixed numbers with common (like) denominators. Items require regrouping (borrowing).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Subtract fractions with common denominators
https://www.khanacademy.org/e/subtracting_fractions_with_common_denominators
Solve a subtraction problem with two fractions with like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Decompose fractions
https://www.khanacademy.org/e/decomposing-fractions
Practice decomposing fractions (breaking fractions into parts that can be added together).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract fractions word problems (same denominator)
https://www.khanacademy.org/e/adding-and-subtracting-fractions-with-like-denominators-word-problems
Practice solving word problems by adding and subtracting fractions. The fractions used in these problems have like (common) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Rewrite mixed numbers and improper fractions
https://www.khanacademy.org/e/converting_mixed_numbers_and_improper_fractions
Practice writing a fraction as a mixed number and vice versa.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (no regrouping)
https://www.khanacademy.org/e/adding_subtracting_mixed_numbers_0.5
Practice adding and subtracting mixed numbers with common (like) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add fractions with common denominators
https://www.khanacademy.org/e/adding_fractions_with_common_denominators
Add two fractions with the like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers (with regrouping)
https://www.khanacademy.org/e/adding-and-subtracting-mixed-numbers-with-like-denominators-2
Practice adding and subtracting mixed numbers with common (like) denominators. Items require regrouping (borrowing).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Subtract fractions with common denominators
https://www.khanacademy.org/e/subtracting_fractions_with_common_denominators
Solve a subtraction problem with two fractions with like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Decompose fractions
https://www.khanacademy.org/e/decomposing-fractions
Practice decomposing fractions (breaking fractions into parts that can be added together).
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract fractions word problems (same denominator)
https://www.khanacademy.org/e/adding-and-subtracting-fractions-with-like-denominators-word-problems
Practice solving word problems by adding and subtracting fractions. The fractions used in these problems have like (common) denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Rewrite mixed numbers and improper fractions
https://www.khanacademy.org/e/converting_mixed_numbers_and_improper_fractions
Practice writing a fraction as a mixed number and vice versa.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Add and subtract mixed numbers word problems (like denominators)
https://www.khanacademy.org/e/add-and-subtract-mixed-numbers-word-problems--like-denominators-
Solve addition and subtraction word problems involving fractions and mixed numbers. Fractions and mixed numbers have common denominators.
4
Number and Operations: Fractions
Math.CC.4.NF.B.3
Subtract fractions with common denominators
https://www.khanacademy.org/e/subtracting_fractions_with_common_denominators
Solve a subtraction problem with two fractions with like denominators. Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply unit fractions and whole numbers
https://www.khanacademy.org/e/multiplying-unit-fractions-and-whole-numbers
Practice multiplying unit fractions (fractions with a 1 in the numerator) and whole numbers.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers
https://www.khanacademy.org/e/multiplying_fractions_by_integers
Practice multiplying a whole number times a fraction.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers word problems
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-word-problems
Practice solving multiplication word problems that include whole numbers and fractions.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers intuition
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-intuition
Practice matching fraction diagrams and number lines to multiplication expressions.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Interpret multiplying fraction and whole number word problems
https://www.khanacademy.org/e/interpret-multiplying-fraction-and-whole-number-word-problems
Solve word problems involving multiplication of a fraction by a whole number. Â Then interpret the solution by, for example, determining between which two whole numbers the solution falls.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply unit fractions and whole numbers
https://www.khanacademy.org/e/multiplying-unit-fractions-and-whole-numbers
Practice multiplying unit fractions (fractions with a 1 in the numerator) and whole numbers.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers
https://www.khanacademy.org/e/multiplying_fractions_by_integers
Practice multiplying a whole number times a fraction.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers intuition
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-intuition
Practice matching fraction diagrams and number lines to multiplication expressions.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Equivalent unit fraction and whole number multiplication expressions
https://www.khanacademy.org/e/understanding-multiplying-fractions-and-whole-numbers
Practice seeing how one whole-number-times-fraction problem is the same as another. Â Find equivalent multiplication expressions.Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Interpret multiplying fraction and whole number word problems
https://www.khanacademy.org/e/interpret-multiplying-fraction-and-whole-number-word-problems
Solve word problems involving multiplication of a fraction by a whole number. Â Then interpret the solution by, for example, determining between which two whole numbers the solution falls.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Equivalent unit fraction and whole number multiplication expressions
https://www.khanacademy.org/e/understanding-multiplying-fractions-and-whole-numbers
Practice seeing how one whole-number-times-fraction problem is the same as another. Â Find equivalent multiplication expressions.Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers
https://www.khanacademy.org/e/multiplying_fractions_by_integers
Practice multiplying a whole number times a fraction.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers word problems
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-word-problems
Practice solving multiplication word problems that include whole numbers and fractions.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers intuition
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-intuition
Practice matching fraction diagrams and number lines to multiplication expressions.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers word problems
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-word-problems
Practice solving multiplication word problems that include whole numbers and fractions.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Equivalent unit fraction and whole number multiplication expressions
https://www.khanacademy.org/e/understanding-multiplying-fractions-and-whole-numbers
Practice seeing how one whole-number-times-fraction problem is the same as another. Â Find equivalent multiplication expressions.Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Interpret multiplying fraction and whole number word problems
https://www.khanacademy.org/e/interpret-multiplying-fraction-and-whole-number-word-problems
Solve word problems involving multiplication of a fraction by a whole number. Â Then interpret the solution by, for example, determining between which two whole numbers the solution falls.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply unit fractions and whole numbers
https://www.khanacademy.org/e/multiplying-unit-fractions-and-whole-numbers
Practice multiplying unit fractions (fractions with a 1 in the numerator) and whole numbers.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers
https://www.khanacademy.org/e/multiplying_fractions_by_integers
Practice multiplying a whole number times a fraction.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply unit fractions and whole numbers
https://www.khanacademy.org/e/multiplying-unit-fractions-and-whole-numbers
Practice multiplying unit fractions (fractions with a 1 in the numerator) and whole numbers.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers intuition
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-intuition
Practice matching fraction diagrams and number lines to multiplication expressions.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Equivalent unit fraction and whole number multiplication expressions
https://www.khanacademy.org/e/understanding-multiplying-fractions-and-whole-numbers
Practice seeing how one whole-number-times-fraction problem is the same as another. Â Find equivalent multiplication expressions.Â
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Interpret multiplying fraction and whole number word problems
https://www.khanacademy.org/e/interpret-multiplying-fraction-and-whole-number-word-problems
Solve word problems involving multiplication of a fraction by a whole number. Â Then interpret the solution by, for example, determining between which two whole numbers the solution falls.
4
Number and Operations: Fractions
Math.CC.4.NF.B.4
Multiply fractions and whole numbers word problems
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-word-problems
Practice solving multiplication word problems that include whole numbers and fractions.
4
Number and Operations: Fractions
Math.CC.4.NF.C.5
Equivalent fractions (denominators 10 & 100)
https://www.khanacademy.org/e/equivalent-fractions-with-denominators-of-10-and-100
Practice writing equivalent fractions with denominators of 10 and 100.
4
Number and Operations: Fractions
Math.CC.4.NF.C.5
Decompose fractions with denominators of 100
https://www.khanacademy.org/e/decompose-fractions-with-denominators-of-100
Practice breaking apart (decomposing) some number of hundredths into tenths and hundredths.
4
Number and Operations: Fractions
Math.CC.4.NF.C.5
Add fractions (denominators 10 & 100)
https://www.khanacademy.org/e/adding_fractions_0.5
Practice adding fractions that have denominators of 10 and 100.
4
Number and Operations: Fractions
Math.CC.4.NF.C.5
Equivalent expressions with common denominators (denominators 10 & 100)
Rewrite a fraction addition problem so the fractions have common denominators. Â All items have denominators of either 10 or 100. Â
4
Number and Operations: Fractions
Math.CC.4.NF.C.5
Equivalent fractions with fraction models (denominators 10 & 100)
https://www.khanacademy.org/e/equivalent-fractions-with-denominators-of-10-and-100-intuition
Practice writing equivalent fractions with denominators of 10 and 100. These problems give you pictures to help you find the answer.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Place value for decimals greater than 1
https://www.khanacademy.org/e/decimals-greater-than-one-intuition
Practice your decimal place value understanding by using tenths and hundredths to describe decimal numbers greater than one.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Write decimal numbers shown in grids
https://www.khanacademy.org/e/decimal-intuition-with-grids
Practice writing decimal numbers shown in grid diagrams.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Rewrite decimals as fractions
https://www.khanacademy.org/e/converting_decimals_to_fractions_1
Practice rewriting decimals as fractions. These problems use decimals with tenths and hundredths.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Decimals on the number line: hundredths
https://www.khanacademy.org/e/decimals_on_the_number_line_2
Practice finding decimal numbers on the number line. Decimals are limited to hundredths.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Rewrite fractions as decimals (denominators of 10 & 100)
https://www.khanacademy.org/e/converting_fractions_to_decimals_0.5
Practice rewriting fractions as decimals. Fractions in these problems have denominators of 10 and 100.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Write number as a fraction and decimal
https://www.khanacademy.org/e/fraction-decimal-intuition
Practice these problems to see how decimals and fractions can represent the same number.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Decimals in words
https://www.khanacademy.org/e/decimals-in-words
Practice writing decimal numbers in word form and number form.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Decimals on the number line: hundredths 0-0.1
https://www.khanacademy.org/e/decimals-on-the-number-line--hundredths-0-1
Graph hundredths between 0 and 0.1 on a number line.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Decimals on the number line: tenths 0-1
https://www.khanacademy.org/e/decimals-on-the-number-line-1
Graph tenths between 0 and 1 on the number line.
4
Number and Operations: Fractions
Math.CC.4.NF.C.6
Decimals on the number line: tenths
https://www.khanacademy.org/e/decimals_on_the_number_line_1
Practice finding decimal numbers on the number line. Decimals are limited to tenths in these problems.
4
Number and Operations: Fractions
Math.CC.4.NF.C.7
Compare decimals visually
https://www.khanacademy.org/e/comparing-decimals-visually
Practice comparing decimals with the help of visual aids.
4
Number and Operations: Fractions
Math.CC.4.NF.C.7
Compare decimals (tenths and hundredths)
https://www.khanacademy.org/e/comparing_decimals_1
Practice comparing decimals. Decimals in these problems are limited to tenths and hundredths.
4
Number and Operations: Fractions
Math.CC.4.NF.C.7
Compare decimals and fractions
https://www.khanacademy.org/e/cc-4th-comparing-decimals-and-fractions
Practice comparing decimals and fractions. Decimals and fractions in these problems are limited to tenths and hundredths for easier comparison.
4
Operations and Algebraic Thinking
Math.CC.4.OA.A.1
Compare with multiplication
https://www.khanacademy.org/e/comparing-with-multiplication
Rewrite multiplication equations as comparisons, and comparisons as equations.
4
Operations and Algebraic Thinking
Math.CC.4.OA.A.1
Compare with multiplication word problems
https://www.khanacademy.org/e/multiplicative-comparison-word-problems
Select the equation that can be used to solve a word problem.
4
Operations and Algebraic Thinking
Math.CC.4.OA.A.2
Multiplication and division word problems
https://www.khanacademy.org/e/arithmetic_word_problems
Practice solving multiplication and division word problems. Some problems have remainders.
4
Operations and Algebraic Thinking
Math.CC.4.OA.A.3
Multi-step word problems with whole numbers
https://www.khanacademy.org/e/multi-step-word-problems-with-whole-numbers
Solve multi-step word problems, including estimation.  Select the equation that can be used to solve a word problem. Â
4
Operations and Algebraic Thinking
Math.CC.4.OA.A.3
Represent multi-step word problems using equations
https://www.khanacademy.org/e/represent-multi-step-word-problems-using-equations
Represent multi-step word problems using equations with a letter standing for the unknown quantity. Equations include addition, subtraction, multiplication, and division.
4
Operations and Algebraic Thinking
Math.CC.4.OA.A.3
Multi-step estimation word problems
https://www.khanacademy.org/e/multi-step-estimation-word-problems
Use estimation to solve multi-step word problems involving addition, subtraction, multiplication, and division.
4
Operations and Algebraic Thinking
Math.CC.4.OA.B.4
Identify composite numbers
https://www.khanacademy.org/e/composite_numbers
Identify composite numbers less than 100.
4
Operations and Algebraic Thinking
Math.CC.4.OA.B.4
Identify factors and multiples
https://www.khanacademy.org/e/identifying-factors-and-multiples
Demonstrate understanding of factors and multiples.
4
Operations and Algebraic Thinking
Math.CC.4.OA.B.4
Factor pairs
https://www.khanacademy.org/e/factor-pairs
Practice finding factor pairs for whole numbers.
4
Operations and Algebraic Thinking
Math.CC.4.OA.B.4
Identify prime numbers
https://www.khanacademy.org/e/prime_numbers
Identify prime numbers less than 100.
4
Operations and Algebraic Thinking
Math.CC.4.OA.C.5
Math patterns 2
https://www.khanacademy.org/e/math-patterns
Generate terms in a pattern when given a rule. Â Identify features of a pattern that are not explicit to the rule itself.
5
Geometry
Math.CC.5.G.A.1
Graph points
https://www.khanacademy.org/e/graphing_points
Plot a given point on the coordinate plane.
5
Geometry
Math.CC.5.G.A.1
Identify coordinates
https://www.khanacademy.org/e/identify-coordinates
Identify coordinates of points in the first quadrant.
5
Geometry
Math.CC.5.G.A.1
Identify points
https://www.khanacademy.org/e/identifying-points
Identify points in the first quadrant of a coordinate plane.
5
Geometry
Math.CC.5.G.A.2
Distance between points in first quadrant
https://www.khanacademy.org/e/distance-between-points-in-first-quadrant-of-coordinate-plane
Graph and find the distance between point in first quadrant of coordinate plane.
5
Geometry
Math.CC.5.G.A.2
Coordinate plane word problems (quadrant 1)
https://www.khanacademy.org/e/coordinate-plane-word-problems--quadrant-1---basic-
See how we can use the axes on the coordinate plane to represent quantities.
5
Geometry
Math.CC.5.G.A.2
Shapes on the coordinate plane
https://www.khanacademy.org/e/shapes-on-the-coordinate-plane
Identify and graph corners on shapes graphed in the first quadrant of a coordinate plane.
5
Geometry
Math.CC.5.G.A.2
Identify coordinates
https://www.khanacademy.org/e/identify-coordinates
Identify coordinates of points in the first quadrant.
5
Geometry
Math.CC.5.G.A.2
Graph points
https://www.khanacademy.org/e/graphing_points
Plot a given point on the coordinate plane.
5
Geometry
Math.CC.5.G.A.2
Identify points
https://www.khanacademy.org/e/identifying-points
Identify points in the first quadrant of a coordinate plane.
5
Geometry
Math.CC.5.G.B.3
Properties of shapes
https://www.khanacademy.org/e/properties-of-shapes
Identify and compare shapes based on their attributes. Â Shapes include triangle types, quadrilateral types, pentagons, and hexagons.
5
Geometry
Math.CC.5.G.B.4
Identify quadrilaterals
https://www.khanacademy.org/e/identify-quadrilaterals
Identify squares, rectangles, and rhombuses.
5
Geometry
Math.CC.5.G.B.4
Properties of shapes
https://www.khanacademy.org/e/properties-of-shapes
Identify and compare shapes based on their attributes. Â Shapes include triangle types, quadrilateral types, pentagons, and hexagons.
5
Geometry
Math.CC.5.G.B.4
Quadrilateral types
https://www.khanacademy.org/e/quadrilateral-types
Identify quadrilaterals based on pictures or attributes. Â Quadrilaterals included are parallelograms, rhombuses, rectangles, and squares.
5
Geometry
Math.CC.5.G.B.4
Quadrilateral types
https://www.khanacademy.org/e/quadrilateral_types
Identify quadrilaterals based on pictures or attributes. Â Quadrilaterals included are parallelograms, rhombuses, rectangles, and squares.
5
Measurement and Data
Math.CC.5.MD.A.1
Convert units (US customary)
https://www.khanacademy.org/e/converting-units--us-customary-
Convert between US customary measures of distance, volume, and mass.
5
Measurement and Data
Math.CC.5.MD.A.1
Convert units word problems (metric)
https://www.khanacademy.org/e/converting-measurements-word-problems
Solve word problems that involve converting between metric measures of distance, volume, and mass, as well as measures of time.
5
Measurement and Data
Math.CC.5.MD.A.1
Convert units (metrics)
https://www.khanacademy.org/e/converting-units
Convert between metric measures of distance, volume, and mass.
5
Measurement and Data
Math.CC.5.MD.A.1
Convert units word problems (US customary)
https://www.khanacademy.org/e/converting-units-word-problems--us-customary-
Solve word problems that involve converting between US customary measures of distance, volume, and mass.
5
Measurement and Data
Math.CC.5.MD.B.2
Interpret dot plots with fraction operations
https://www.khanacademy.org/e/interpreting-line-plots-with-fraction-multiplication-and-division
Interpret fraction data on dot plots to solve word problems.
5
Measurement and Data
Math.CC.5.MD.C.3
Coming Soon
5
Measurement and Data
Math.CC.5.MD.C.3
Coming Soon
5
Measurement and Data
Math.CC.5.MD.C.3
Coming Soon
5
Measurement and Data
Math.CC.5.MD.C.4
Volume with unit cubes 1
https://www.khanacademy.org/e/volume_with_unit_cubes
Find volume of 3-dimensional figures by counting unit cubes.
5
Measurement and Data
Math.CC.5.MD.C.4
Compare volumes with unit cubes
https://www.khanacademy.org/e/volumes-with-unit-cubes
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume
https://www.khanacademy.org/e/decompose-figures-to-find-volume
Find the volume of irregular 3D figures by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume (unit cubes)
https://www.khanacademy.org/e/decompose-figures-to-find-volume--unit-cubes-
Find the volume of irregular 3D figures made up of unit cubes by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume 1
https://www.khanacademy.org/e/volume_1
Find volume of a rectangular prism with labeled side lengths. Â Find a missing side length on a rectangular prism when given the volume.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume word problems
https://www.khanacademy.org/e/volume_2
Find volume of rectangular prisms to solve word problems.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume (unit cubes)
https://www.khanacademy.org/e/decompose-figures-to-find-volume--unit-cubes-
Find the volume of irregular 3D figures made up of unit cubes by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume
https://www.khanacademy.org/e/decompose-figures-to-find-volume
Find the volume of irregular 3D figures by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Compare volumes with unit cubes
https://www.khanacademy.org/e/volumes-with-unit-cubes
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5
Measurement and Data
Math.CC.5.MD.C.5
Compare volumes with unit cubes
https://www.khanacademy.org/e/volumes-with-unit-cubes
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume 1
https://www.khanacademy.org/e/volume_1
Find volume of a rectangular prism with labeled side lengths. Â Find a missing side length on a rectangular prism when given the volume.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume word problems
https://www.khanacademy.org/e/volume_2
Find volume of rectangular prisms to solve word problems.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume 1
https://www.khanacademy.org/e/volume_1
Find volume of a rectangular prism with labeled side lengths. Â Find a missing side length on a rectangular prism when given the volume.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume (unit cubes)
https://www.khanacademy.org/e/decompose-figures-to-find-volume--unit-cubes-
Find the volume of irregular 3D figures made up of unit cubes by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume
https://www.khanacademy.org/e/decompose-figures-to-find-volume
Find the volume of irregular 3D figures by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume word problems
https://www.khanacademy.org/e/volume_2
Find volume of rectangular prisms to solve word problems.
5
Measurement and Data
Math.CC.5.MD.C.5
Compare volumes with unit cubes
https://www.khanacademy.org/e/volumes-with-unit-cubes
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume 1
https://www.khanacademy.org/e/volume_1
Find volume of a rectangular prism with labeled side lengths. Â Find a missing side length on a rectangular prism when given the volume.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume (unit cubes)
https://www.khanacademy.org/e/decompose-figures-to-find-volume--unit-cubes-
Find the volume of irregular 3D figures made up of unit cubes by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Decompose figures to find volume
https://www.khanacademy.org/e/decompose-figures-to-find-volume
Find the volume of irregular 3D figures by dividing the figures into rectangular prisms and finding the volume of each part.
5
Measurement and Data
Math.CC.5.MD.C.5
Volume word problems
https://www.khanacademy.org/e/volume_2
Find volume of rectangular prisms to solve word problems.
5
Measurement and Data
Math.CC.5.MD.C.5
Compare volumes with unit cubes
https://www.khanacademy.org/e/volumes-with-unit-cubes
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.1
Regroup whole numbers
https://www.khanacademy.org/e/regrouping-whole-numbers
Regroup numbers in each place value (e.g., regroup 1 ten as 10 ones) to express whole numbers in different ways.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.1
Value of a digit
https://www.khanacademy.org/e/value-of-a-decimal-digit
Practice identifying the value of one of the digits in a decimal number. For example, the 3 in 4.563 has a value of 0.003.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.1
Compare decimal place value
https://www.khanacademy.org/e/comparing-decimal-place-value
Compare 2 numbers to thousandths based on meanings of the digits in each place.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.2
Multiply and divide decimals by 10, 100, and 1000
https://www.khanacademy.org/e/mult-div-decimals-by-10-100-1000
Practice multiplying and dividing decimals by 10, 100, and 1000. For example, divide 31.4 by 100 to get 0.314.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.2
Understanding moving the decimal
https://www.khanacademy.org/e/understanding_moving_the_decimal
Give the number of tens a number is being multiplied or divided by when the decimal is moved to the left or right.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.2
Multiply and divide by powers of 10
https://www.khanacademy.org/e/multiplying-and-dividing-by-powers-of-10
Practice multiplying and dividing by powers of 10.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.2
Multiply and divide decimals by 10
https://www.khanacademy.org/e/multiplying-and-dividing-decimals-by-10
Practice multiplying and dividing decimal numbers by 10.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.2
Multiply and divide whole numbers by 10, 100, and 1000
https://www.khanacademy.org/e/mult-div-whole-numbers-by-10-100-1000
Practice multiplying and dividing whole numbers by 10, 100, and 1000.Â
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.2
Powers of ten
https://www.khanacademy.org/e/powers-of-ten
Practice evaluating powers of ten.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals word problems
https://www.khanacademy.org/e/compare-decimals-word-problems
Solve word problems by comparing decimals
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals challenge
https://www.khanacademy.org/e/comparing-decimals-challenge
Practice decimal comparison problems that stretch your place value understanding.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Place value names
https://www.khanacademy.org/e/identifying-decimal-place-values
Practice identifying place value names for decimal numbers. For example, the 3 in 4.563 is in the thousandths place.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Regroup decimals
https://www.khanacademy.org/e/regrouping-decimals
Regroup numbers in each place value (e.g., regroup 1 ten as 10 ones) to express decimals in different ways.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Decimals in expanded form
https://www.khanacademy.org/e/writing-and-interpreting-decimals
Practice converting decimals between standard form and expanded form.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Decimals in written form
https://www.khanacademy.org/e/decimals-in-written-form
Practice converting decimals between standard form and written form.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals through thousandths
https://www.khanacademy.org/e/comparing_decimals_2
Compare 2 decimals with digits up to the thousandths using >, <, and = symbols.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals challenge
https://www.khanacademy.org/e/comparing-decimals-challenge
Practice decimal comparison problems that stretch your place value understanding.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Place value names
https://www.khanacademy.org/e/identifying-decimal-place-values
Practice identifying place value names for decimal numbers. For example, the 3 in 4.563 is in the thousandths place.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Regroup decimals
https://www.khanacademy.org/e/regrouping-decimals
Regroup numbers in each place value (e.g., regroup 1 ten as 10 ones) to express decimals in different ways.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Decimals in expanded form
https://www.khanacademy.org/e/writing-and-interpreting-decimals
Practice converting decimals between standard form and expanded form.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Decimals in written form
https://www.khanacademy.org/e/decimals-in-written-form
Practice converting decimals between standard form and written form.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals through thousandths
https://www.khanacademy.org/e/comparing_decimals_2
Compare 2 decimals with digits up to the thousandths using >, <, and = symbols.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals word problems
https://www.khanacademy.org/e/compare-decimals-word-problems
Solve word problems by comparing decimals
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals challenge
https://www.khanacademy.org/e/comparing-decimals-challenge
Practice decimal comparison problems that stretch your place value understanding.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Place value names
https://www.khanacademy.org/e/identifying-decimal-place-values
Practice identifying place value names for decimal numbers. For example, the 3 in 4.563 is in the thousandths place.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Regroup decimals
https://www.khanacademy.org/e/regrouping-decimals
Regroup numbers in each place value (e.g., regroup 1 ten as 10 ones) to express decimals in different ways.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Order decimals
https://www.khanacademy.org/e/ordering_decimals
Order 3 decimals with digits up to the thousandths from least to greatest.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Decimals in expanded form
https://www.khanacademy.org/e/writing-and-interpreting-decimals
Practice converting decimals between standard form and expanded form.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Decimals in written form
https://www.khanacademy.org/e/decimals-in-written-form
Practice converting decimals between standard form and written form.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals through thousandths
https://www.khanacademy.org/e/comparing_decimals_2
Compare 2 decimals with digits up to the thousandths using >, <, and = symbols.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Order decimals
https://www.khanacademy.org/e/ordering_decimals
Order 3 decimals with digits up to the thousandths from least to greatest.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Compare decimals word problems
https://www.khanacademy.org/e/compare-decimals-word-problems
Solve word problems by comparing decimals
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.3
Order decimals
https://www.khanacademy.org/e/ordering_decimals
Order 3 decimals with digits up to the thousandths from least to greatest.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.4
Round decimals using a number line
https://www.khanacademy.org/e/rounding-decimals-using-a-number-line
Practice using a number line to round decimal numbers.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.4
Round decimals challenge
https://www.khanacademy.org/e/rounding-decimals
Round decimals using number lines. Â Select numbers that round to a given value.
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.4
Round decimals word problems
https://www.khanacademy.org/e/round-decimals-word-problems
Solve word problems by rounding decimals
5
Number and Operations in Base Ten
Math.CC.5.NBT.A.4
Round decimals
https://www.khanacademy.org/e/rounding_numbers
Round decimals and whole numbers to the nearest thousand, hundred, ten, one, tenth, or hundredth.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.5
Estimate multi-digit multiplication problems
https://www.khanacademy.org/e/estimate-multi-digit-multiplication-problems
Use estimation to find a reasonable solution to multi-digit multiplication problems.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.5
Multi-digit multiplication
https://www.khanacademy.org/e/multiplication_4
Multiply 2-3 digits by 3-4 digits with carrying.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.5
Multiply by taking out factors of 10
https://www.khanacademy.org/e/multiplying-by-taking-out-factors-of-10
Multiply numbers like 900 x 1000
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.6
Basic multi-digit division
https://www.khanacademy.org/e/basic-multi-digit-division
Divide numbers like 105÷21 or 119÷17
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.6
Estimate multi-digit division problems
https://www.khanacademy.org/e/estimate-multi-digit-division-problems
Use estimation to find a reasonable solution to multi-digit division problems.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.6
Divide by taking out factors of 10
https://www.khanacademy.org/e/dividing-by-taking-out-factors-of-10
Divide numbers like 2400÷30.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide whole numbers like 7÷5 to get a decimal
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-1
Dividing whole numbers to get a decimal quotient like 15÷6=2.5
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 56.8-17.9
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-4
Subtract trickier numbers with tenths like 56.8-17.9
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 0.6-0.43
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-6
Subtract small whole numbers, tenths, and hundredths like 0.6-0.43 or 1.58-0.5Â
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Estimating with adding decimals
https://www.khanacademy.org/e/estimating-with-adding-decimals
For example, estimate 12.93 + 6.1 to be 19.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 67.89-6
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-7
Subtract larger whole numbers, tenths, and hundredths like 67.89-6 or 35.65-17.34
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide decimals like 1.32÷0.12
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-8
More challenging division with decimals like 14÷0.7 or 1.32÷0.12.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Multiply decimals visually
https://www.khanacademy.org/e/multiply-decimals-visually
Use tenths and hundredths charts and number lines to multiply decimals.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Add decimals like 0.76+0.21
https://www.khanacademy.org/e/adding-decimals-without-the-standard-algorithm-6
Add hundredths like 0.76+0.21
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide decimals like 0.72÷0.08
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-6
Dividing tenths by tenths like 0.6÷0.2.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide whole numbers like 63÷12 to get a decimal
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-2
Dividing larger whole numbers to get a decimal quotient like 63÷12=5.25
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 0.75-0.56
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-5
Subtract hundredths like 0.75-0.56
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide decimals and whole numbers by 0.1 or 0.01
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-7
Dividing numbers by 0.1 or 0.01 like 10÷0.1 or 5.3÷0.01
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide decimals visually
https://www.khanacademy.org/e/divide-decimals-visually
Use tenths and hundredths charts and number lines to divide decimals.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Multiply decimals like 1.7x0.12
https://www.khanacademy.org/e/multiplying-decimals-without-the-standard-algorithm-3
Multiply numbers with tenths and hundredths like 3.1x3.3 or 1.7x0.12
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide decimals like 1.86÷2
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-3
Dividing decimals by whole numbers like 2.5÷5 or 1.86÷2
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Multiply decimals like 0.56x4
https://www.khanacademy.org/e/multiplying-decimals-without-the-standard-algorithm-2
Multiply decimals and whole numbers like 8x0.2 or 0.56x4
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Add decimals like 40.1+7.6
https://www.khanacademy.org/e/adding-decimals-without-the-standard-algorithm-3
Add larger numbers with tenths like 40.1+7.6
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 0.9-0.7
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-1
Subtract tenths like 0.9-0.7
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Add decimals like 0.7+0.5
https://www.khanacademy.org/e/adding-decimals-without-the-standard-algorithm-1
Add tenths like 0.7 + 0.5
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Estimating with multiplying decimals
https://www.khanacademy.org/e/estimating-with-multiplying-decimals
For example, estimate 6.74 x 1.98 to be 14.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide decimals like 16.8÷40 by factoring out a 10
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-4
Dividing decimals where we can factor a 10 out of the divisor like 9÷30
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Add decimals like 4+5.7
https://www.khanacademy.org/e/adding-decimals-without-the-standard-algorithm-2
Add whole numbers and tenths like 4 + 5.7
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Add decimals visually
https://www.khanacademy.org/e/add-decimals-visually
Use tenths and hundredths charts to add decimals.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 1.6-0.3
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-2
Subtract small whole numbers and tenths like 1.6-0.3
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 78.4-3
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-3
Subtract larger whole numbers and tenths like 78.4-3
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Add decimals like 5.53+6.1
https://www.khanacademy.org/e/adding-decimals-without-the-standard-algorithm-4
Add whole numbers, tenths, and hundredths like 60+2.57 or 5.53+3.1
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Multiply decimals like 0.6x0.4
https://www.khanacademy.org/e/multiplying-decimals-without-the-standard-algorithm-1
Multiply tenths like 0.6 x 0.4
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Add decimals like 47.75+11.98
https://www.khanacademy.org/e/adding-decimals-without-the-standard-algorithm-5
Add more challenging whole numbers, tenths, and hundredths like 5.7+4.51 or 47.75+11.98
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Divide whole numbers like 80÷200 to get a decimal
https://www.khanacademy.org/e/dividing-decimals-without-the-standard-algorithm-5
Dividing larger whole numbers by whole numbers to get a decimal like 80÷200
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals visually
https://www.khanacademy.org/e/subtract-decimals-visually
Use tenths and hundredths charts to subtract decimals.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Estimating with subtracting decimals
https://www.khanacademy.org/e/estimating-with-subtracting-decimals
For example, estimate 9.72 - 1.9 to be 8.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Estimating with dividing decimals
https://www.khanacademy.org/e/estimating-with-dividing-decimals
For example, estimate 5609 ÷ 7 to be 800.
5
Number and Operations in Base Ten
Math.CC.5.NBT.B.7
Subtract decimals like 15-7.45
https://www.khanacademy.org/e/subtracting-decimals-without-the-standard-algorithm-8
More challenging subtraction problems with whole numbers, tenths, and hundredths like 15-7.45 or 12.19-7.68
5
Number and Operations: Fractions
Math.CC.5.NF.A.1
Add and subtract fractions challenge
https://www.khanacademy.org/e/adding-and-subtracting-fractions-with-unlike-denominators
Challenge problems involving adding and subtracting fractions that have unlike denominators.
5
Number and Operations: Fractions
Math.CC.5.NF.A.1
Subtracting fractions with unlike denominators
https://www.khanacademy.org/e/subtracting_fractions
Practice subtracting fractions that have different denominators.
5
Number and Operations: Fractions
Math.CC.5.NF.A.1
Visually add and subtract fractions
https://www.khanacademy.org/e/using-visuals-to-add-and-subtract-fractions-with-unlike-denominators-
Practice adding and subtracting fractions that have different denominators. Problems have fraction diagrams.
5
Number and Operations: Fractions
Math.CC.5.NF.A.1
Equivalent expressions with common denominators
https://www.khanacademy.org/e/equivalent-expressions-with-common-denominators
Rewrite a fraction addition problem so the fractions have common denominators.
5
Number and Operations: Fractions
Math.CC.5.NF.A.1
Add and subtract mixed numbers with unlike denominators (regrouping)
https://www.khanacademy.org/e/adding-and-subtracting-mixed-numbers-with-unlike-denominators-2
Practice adding and subtracting mixed numbers with different denominators. Regrouping required.
5
Number and Operations: Fractions
Math.CC.5.NF.A.1
Add and subtract mixed numbers with unlike denominators (no regrouping)
https://www.khanacademy.org/e/adding_subtracting_mixed_numbers_1
Practice adding and subtracting mixed numbers with different denominators. No regrouping required.
5
Number and Operations: Fractions
Math.CC.5.NF.A.1
Add fractions with unlike denominators
https://www.khanacademy.org/e/adding_fractions
Practice adding fractions that have different denominators.
5
Number and Operations: Fractions
Math.CC.5.NF.A.2
Add and subtract fractions word problems
Practice solving fraction addition and subtraction word problems. The fractions in these problems have unlike denominators.
5
Number and Operations: Fractions
Math.CC.5.NF.B.3
Fractions as division
https://www.khanacademy.org/e/understanding-fractions-as-division
Practice understanding that the fraction bar really means division.
5
Number and Operations: Fractions
Math.CC.5.NF.B.3
Fractions as division word problems
https://www.khanacademy.org/e/understanding-fractions-as-division--word-problems
Practice word problems that involve using the fraction bar as division.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply mixed numbers
https://www.khanacademy.org/e/multiplying_mixed_numbers_1
Practice multiplying mixed numbers.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Area of rectangles with fraction side lengths
https://www.khanacademy.org/e/area-of-rectangles-with-fractional-side-lengths
Practice computing the areas of rectangles that have fractional side lengths.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply fractions and whole numbers visually
https://www.khanacademy.org/e/understanding-multiplying-fractions-and-whole-numbers-2
Use area models, number lines, and tape diagrams to multiply a whole number times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply fractions and whole numbers
https://www.khanacademy.org/e/multiplying_fractions_by_integers
Practice multiplying a whole number times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiplying fractions
https://www.khanacademy.org/e/multiplying_fractions_0.5
Practice multiplying two fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiplying fractions with visuals
https://www.khanacademy.org/e/understanding-multiplying-fractions-by-fractions
Use area models and tape diagrams to multiply a fraction times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply mixed numbers
https://www.khanacademy.org/e/multiplying_mixed_numbers_1
Practice multiplying mixed numbers.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply fractions and whole numbers
https://www.khanacademy.org/e/multiplying_fractions_by_integers
Practice multiplying a whole number times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Area of rectangles with fraction side lengths
https://www.khanacademy.org/e/area-of-rectangles-with-fractional-side-lengths
Practice computing the areas of rectangles that have fractional side lengths.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply fractions and whole numbers visually
https://www.khanacademy.org/e/understanding-multiplying-fractions-and-whole-numbers-2
Use area models, number lines, and tape diagrams to multiply a whole number times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Area of rectangles with fraction side lengths
https://www.khanacademy.org/e/area-of-rectangles-with-fractional-side-lengths
Practice computing the areas of rectangles that have fractional side lengths.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiplying fractions
https://www.khanacademy.org/e/multiplying_fractions_0.5
Practice multiplying two fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply fractions and whole numbers
https://www.khanacademy.org/e/multiplying_fractions_by_integers
Practice multiplying a whole number times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiplying fractions
https://www.khanacademy.org/e/multiplying_fractions_0.5
Practice multiplying two fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiplying fractions with visuals
https://www.khanacademy.org/e/understanding-multiplying-fractions-by-fractions
Use area models and tape diagrams to multiply a fraction times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply mixed numbers
https://www.khanacademy.org/e/multiplying_mixed_numbers_1
Practice multiplying mixed numbers.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiply fractions and whole numbers visually
https://www.khanacademy.org/e/understanding-multiplying-fractions-and-whole-numbers-2
Use area models, number lines, and tape diagrams to multiply a whole number times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.4
Multiplying fractions with visuals
https://www.khanacademy.org/e/understanding-multiplying-fractions-by-fractions
Use area models and tape diagrams to multiply a fraction times a fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.5
Fraction multiplication as scaling
https://www.khanacademy.org/e/fraction-multiplication-as-scaling
Interpret how multiplying by a fraction greater or less than 1 affects the product.Â
5
Number and Operations: Fractions
Math.CC.5.NF.B.5
Fraction multiplication as scaling
https://www.khanacademy.org/e/fraction-multiplication-as-scaling
Interpret how multiplying by a fraction greater or less than 1 affects the product.Â
5
Number and Operations: Fractions
Math.CC.5.NF.B.5
Fraction multiplication as scaling
https://www.khanacademy.org/e/fraction-multiplication-as-scaling
Interpret how multiplying by a fraction greater or less than 1 affects the product.Â
5
Number and Operations: Fractions
Math.CC.5.NF.B.6
Multiply fractions word problems
https://www.khanacademy.org/e/multiplying-fractions-by-fractions-word-problems
Solve and interpret fraction multiplication word problems.
5
Number and Operations: Fractions
Math.CC.5.NF.B.6
Interpret multiplying fraction and whole number word problems
https://www.khanacademy.org/e/interpret-multiplying-fraction-and-whole-number-word-problems
Solve word problems involving multiplication of a fraction by a whole number. Â Then interpret the solution by, for example, determining between which two whole numbers the solution falls.
5
Number and Operations: Fractions
Math.CC.5.NF.B.6
Multiply fractions and whole numbers word problems
https://www.khanacademy.org/e/multiplying-fractions-and-whole-numbers-word-problems
Practice solving multiplication word problems that include whole numbers and fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions visually
https://www.khanacademy.org/e/dividing-whole-numbers-by-unit-fractions-introduction
Learn how to divide whole number by unit fractions with visual models.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Divide fractions and whole numbers word problems
https://www.khanacademy.org/e/division-with-fractions-and-whole-numbers
Solve and interpret division word problems that include whole numbers and fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Divide fractions and whole numbers word problems
https://www.khanacademy.org/e/division-with-fractions-and-whole-numbers
Solve and interpret division word problems that include whole numbers and fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers
https://www.khanacademy.org/e/dividing_fractions_0.5
Divide a unit fraction by a whole number.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers
https://www.khanacademy.org/e/dividing_fractions_0.5
Divide a unit fraction by a whole number.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions
https://www.khanacademy.org/e/dividing_fractions
Practice dividing a whole number by a unit fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions
https://www.khanacademy.org/e/dividing_fractions
Practice dividing a whole number by a unit fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers visually
https://www.khanacademy.org/e/dividing-fractions-by-whole-numbers-introduction
Practice dividing unit fractions by whole numbers with visual models.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers visually
https://www.khanacademy.org/e/dividing-fractions-by-whole-numbers-introduction
Practice dividing unit fractions by whole numbers with visual models.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions visually
https://www.khanacademy.org/e/dividing-whole-numbers-by-unit-fractions-introduction
Learn how to divide whole number by unit fractions with visual models.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers visually
https://www.khanacademy.org/e/dividing-fractions-by-whole-numbers-introduction
Practice dividing unit fractions by whole numbers with visual models.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Divide fractions and whole numbers word problems
https://www.khanacademy.org/e/division-with-fractions-and-whole-numbers
Solve and interpret division word problems that include whole numbers and fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers
https://www.khanacademy.org/e/dividing_fractions_0.5
Divide a unit fraction by a whole number.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions visually
https://www.khanacademy.org/e/dividing-whole-numbers-by-unit-fractions-introduction
Learn how to divide whole number by unit fractions with visual models.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions
https://www.khanacademy.org/e/dividing_fractions
Practice dividing a whole number by a unit fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers
https://www.khanacademy.org/e/dividing_fractions_0.5
Divide a unit fraction by a whole number.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Divide fractions and whole numbers word problems
https://www.khanacademy.org/e/division-with-fractions-and-whole-numbers
Solve and interpret division word problems that include whole numbers and fractions.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions
https://www.khanacademy.org/e/dividing_fractions
Practice dividing a whole number by a unit fraction.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing whole numbers by unit fractions visually
https://www.khanacademy.org/e/dividing-whole-numbers-by-unit-fractions-introduction
Learn how to divide whole number by unit fractions with visual models.
5
Number and Operations: Fractions
Math.CC.5.NF.B.7
Dividing unit fractions by whole numbers visually
https://www.khanacademy.org/e/dividing-fractions-by-whole-numbers-introduction
Practice dividing unit fractions by whole numbers with visual models.
5
Operations and Algebraic Thinking
Math.CC.5.OA.A.1
Evaluate expressions with parentheses
https://www.khanacademy.org/e/expressions-with-parentheses
Solve multi-step expressions with parentheses. Â Place parentheses in an expression to make the expression equivalent to a given number.
5
Operations and Algebraic Thinking
Math.CC.5.OA.A.2
Create expressions with parentheses
https://www.khanacademy.org/e/creating-expressions-with-parenthesis
Practice creating expressions with parentheses from real-world contexts.
5
Operations and Algebraic Thinking
Math.CC.5.OA.A.2
Translate expressions with parentheses
https://www.khanacademy.org/e/translating-expressions-with-parentheses
Practice changing expressions from words to math.
5
Operations and Algebraic Thinking
Math.CC.5.OA.B.3
Identify points on a line
https://www.khanacademy.org/e/identify-points-on-a-line
Identify the coordinates of points on a line and match a table of x- and y-coordinates to a line.
5
Operations and Algebraic Thinking
Math.CC.5.OA.B.3
Write rules that relate 2 variables
https://www.khanacademy.org/e/write-a-2-variable-relationship
Identify the rule that describes the relationship between the x- and y-coordinates in a table or set of coordinates.
5
Operations and Algebraic Thinking
Math.CC.5.OA.B.3
Graphs of rules that relate 2 variables
https://www.khanacademy.org/e/graph-a-2-variable-relationship
Complete a table from a given rule. Then, plot points from the table on a coordinate plane.
5
Operations and Algebraic Thinking
Math.CC.5.OA.B.3
Tables from rules that relate 2 variables
https://www.khanacademy.org/e/create-a-table-or-coordinates-from-a-given-rule
Complete a table, identify coordinates, and identify inputs and outputs when given a two-variable rule.
5
Operations and Algebraic Thinking
Math.CC.5.OA.B.3
Relationships between 2 patterns
https://www.khanacademy.org/e/visualizing-and-interpreting-relationships-between-patterns
Generate patterns using given rules. Identify relationships between terms. Graph ordered pairs consisting of corresponding terms from the patterns.
6
Expressions and Equations
Math.CC.6.EE.A.1
Order of operations challenge
https://www.khanacademy.org/e/evaluating-numerical-expressions-with-exponents
Practice solving more challenging problems using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.1
Powers of fractions
https://www.khanacademy.org/e/powers-of-fractions
Practice evaluating exponents that have fractional bases.
6
Expressions and Equations
Math.CC.6.EE.A.1
Exponents (basic)
https://www.khanacademy.org/e/positive_and_zero_exponents
Practice taking exponents of whole numbers. All exponents in these problems are either positive or zero.
6
Expressions and Equations
Math.CC.6.EE.A.1
Variable expressions with exponents
https://www.khanacademy.org/e/exponents-in-expressions
Practice evaluating expressions with exponents by substituting values for the variables.Â
6
Expressions and Equations
Math.CC.6.EE.A.1
Exponents
https://www.khanacademy.org/e/exponents
Practice solving more challenging exponents problems. All exponents in these problems are either positive or zero.
6
Expressions and Equations
Math.CC.6.EE.A.2
https://www.khanacademy.org/e/evaluating-expressions-in-two-variables-2
Practice evaluating expressions in two variables by plugging in values for the variables. These problems include some fractions and decimals.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations
https://www.khanacademy.org/e/order_of_operations_2
Practice evaluating expressions using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations
https://www.khanacademy.org/e/order_of_operations_2
Practice evaluating expressions using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations challenge
https://www.khanacademy.org/e/evaluating-numerical-expressions-with-exponents
Practice solving more challenging problems using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with variables word problems
https://www.khanacademy.org/e/evaluating-expressions-3
Practice plugging in values to evaluate real-world algebraic expressions. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions with variables
https://www.khanacademy.org/e/writing_expressions_1
Practice writing algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions with variables
https://www.khanacademy.org/e/writing_expressions_1
Practice writing algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations challenge
https://www.khanacademy.org/e/evaluating-numerical-expressions-with-exponents
Practice solving more challenging problems using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions word problems
https://www.khanacademy.org/e/writing-expressions-with-variables-word-problems
Practice writing basic algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions word problems
https://www.khanacademy.org/e/writing-expressions-with-variables-word-problems
Practice writing basic algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Parts of algebraic expressions
https://www.khanacademy.org/e/identifying-parts-of-expressions
Practice identifying the following parts of algebraic expressions: sum, product, difference, quotient, coefficient, factor, term, and variable.Â
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions with variables
https://www.khanacademy.org/e/writing-expressions-with-variables-1
Practice writing basic algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions word problems
https://www.khanacademy.org/e/writing-basic-algebraic-expressions-word-problems-2
Practice writing slightly more complex algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with one variable
https://www.khanacademy.org/e/evaluating_expressions_1
Practice plugging in a value for the variable in an equation. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Parts of algebraic expressions
https://www.khanacademy.org/e/identifying-parts-of-expressions
Practice identifying the following parts of algebraic expressions: sum, product, difference, quotient, coefficient, factor, term, and variable.Â
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions word problems
https://www.khanacademy.org/e/writing-basic-algebraic-expressions-word-problems-2
Practice writing slightly more complex algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions with variables
https://www.khanacademy.org/e/writing-expressions-with-variables-1
Practice writing basic algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions with variables
https://www.khanacademy.org/e/writing-expressions-with-variables-1
Practice writing basic algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with multiple variables
https://www.khanacademy.org/e/evaluating_expressions_2
Practice evaluating expressions in two variables by plugging in values for the variables.Â
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with variables word problems
https://www.khanacademy.org/e/evaluating-expressions-3
Practice plugging in values to evaluate real-world algebraic expressions. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with variables word problems
https://www.khanacademy.org/e/evaluating-expressions-3
Practice plugging in values to evaluate real-world algebraic expressions. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions word problems
https://www.khanacademy.org/e/writing-expressions-with-variables-word-problems
Practice writing basic algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with one variable
https://www.khanacademy.org/e/evaluating_expressions_1
Practice plugging in a value for the variable in an equation. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations
https://www.khanacademy.org/e/order_of_operations_2
Practice evaluating expressions using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with multiple variables
https://www.khanacademy.org/e/evaluating_expressions_2
Practice evaluating expressions in two variables by plugging in values for the variables.Â
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions word problems
https://www.khanacademy.org/e/writing-basic-algebraic-expressions-word-problems-2
Practice writing slightly more complex algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Expression value intuition
https://www.khanacademy.org/e/expression-value-intuition
Practice thinking about how the values of expressions change as the values of their variables change.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with multiple variables: fractions & decimals
https://www.khanacademy.org/e/evaluating-expressions-in-two-variables-2
Practice evaluating expressions in two variables by plugging in values for the variables. These problems include some fractions and decimals.
6
Expressions and Equations
Math.CC.6.EE.A.2
Expression value intuition
https://www.khanacademy.org/e/expression-value-intuition
Practice thinking about how the values of expressions change as the values of their variables change.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions with variables
https://www.khanacademy.org/e/writing_expressions_1
Practice writing algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions word problems
https://www.khanacademy.org/e/writing-expressions-with-variables-word-problems
Practice writing basic algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions with variables
https://www.khanacademy.org/e/writing_expressions_1
Practice writing algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing basic expressions with variables
https://www.khanacademy.org/e/writing-expressions-with-variables-1
Practice writing basic algebraic expressions to match verbal descriptions of mathematical operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Expression value intuition
https://www.khanacademy.org/e/expression-value-intuition
Practice thinking about how the values of expressions change as the values of their variables change.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations challenge
https://www.khanacademy.org/e/evaluating-numerical-expressions-with-exponents
Practice solving more challenging problems using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with multiple variables: fractions & decimals
https://www.khanacademy.org/e/evaluating-expressions-in-two-variables-2
Practice evaluating expressions in two variables by plugging in values for the variables. These problems include some fractions and decimals.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations
https://www.khanacademy.org/e/order_of_operations_2
Practice evaluating expressions using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with variables word problems
https://www.khanacademy.org/e/evaluating-expressions-3
Practice plugging in values to evaluate real-world algebraic expressions. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with multiple variables: fractions & decimals
https://www.khanacademy.org/e/evaluating-expressions-in-two-variables-2
Practice evaluating expressions in two variables by plugging in values for the variables. These problems include some fractions and decimals.
6
Expressions and Equations
Math.CC.6.EE.A.2
Order of operations challenge
https://www.khanacademy.org/e/evaluating-numerical-expressions-with-exponents
Practice solving more challenging problems using the order of operations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Parts of algebraic expressions
https://www.khanacademy.org/e/identifying-parts-of-expressions
Practice identifying the following parts of algebraic expressions: sum, product, difference, quotient, coefficient, factor, term, and variable.Â
6
Expressions and Equations
Math.CC.6.EE.A.2
Expression value intuition
https://www.khanacademy.org/e/expression-value-intuition
Practice thinking about how the values of expressions change as the values of their variables change.
6
Expressions and Equations
Math.CC.6.EE.A.2
Parts of algebraic expressions
https://www.khanacademy.org/e/identifying-parts-of-expressions
Practice identifying the following parts of algebraic expressions: sum, product, difference, quotient, coefficient, factor, term, and variable.Â
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with multiple variables
https://www.khanacademy.org/e/evaluating_expressions_2
Practice evaluating expressions in two variables by plugging in values for the variables.Â
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with one variable
https://www.khanacademy.org/e/evaluating_expressions_1
Practice plugging in a value for the variable in an equation. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Writing expressions word problems
https://www.khanacademy.org/e/writing-basic-algebraic-expressions-word-problems-2
Practice writing slightly more complex algebraic expressions to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with one variable
https://www.khanacademy.org/e/evaluating_expressions_1
Practice plugging in a value for the variable in an equation. These are introductory problems, so the expressions aren't too complicated.
6
Expressions and Equations
Math.CC.6.EE.A.2
Evaluating expressions with multiple variables
https://www.khanacademy.org/e/evaluating_expressions_2
Practice evaluating expressions in two variables by plugging in values for the variables.Â
6
Expressions and Equations
Math.CC.6.EE.A.3
Combining like terms with distribution
https://www.khanacademy.org/e/combining-like-terms-with-distribution
Practice expanding expressions using the distributive property then combining like terms.
6
Expressions and Equations
Math.CC.6.EE.A.3
Combining like terms
https://www.khanacademy.org/e/combining-like-terms-0.5
Simplify algebraic expressions by combining like terms.
6
Expressions and Equations
Math.CC.6.EE.A.3
Factor with distributive property (variables)
https://www.khanacademy.org/e/factor-with-distributive-property--variables-
Practice applying the distributive property to factor algebraic expressions.
6
Expressions and Equations
Math.CC.6.EE.A.3
Equivalent expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-1
Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions. These problems require you to combine like terms and apply the distributive property.
6
Expressions and Equations
Math.CC.6.EE.A.3
Factor with the distributive property (no variables)
https://www.khanacademy.org/e/distributive_property
Practice applying the distributive property to factor numerical expressions (no variables).
6
Expressions and Equations
Math.CC.6.EE.A.3
Distributive property with variables
https://www.khanacademy.org/e/distributive-property-with-variables
Practice applying the distributive property to algebraic expressions.
6
Expressions and Equations
Math.CC.6.EE.A.4
Combining like terms
https://www.khanacademy.org/e/combining-like-terms-0.5
Simplify algebraic expressions by combining like terms.
6
Expressions and Equations
Math.CC.6.EE.A.4
Factor with distributive property (variables)
https://www.khanacademy.org/e/factor-with-distributive-property--variables-
Practice applying the distributive property to factor algebraic expressions.
6
Expressions and Equations
Math.CC.6.EE.A.4
Combining like terms with distribution
https://www.khanacademy.org/e/combining-like-terms-with-distribution
Practice expanding expressions using the distributive property then combining like terms.
6
Expressions and Equations
Math.CC.6.EE.A.4
Equivalent expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-1
Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions. These problems require you to combine like terms and apply the distributive property.
6
Expressions and Equations
Math.CC.6.EE.A.4
Distributive property with variables
https://www.khanacademy.org/e/distributive-property-with-variables
Practice applying the distributive property to algebraic expressions.
6
Expressions and Equations
Math.CC.6.EE.B.5
Testing solutions to inequalities (basic)
https://www.khanacademy.org/e/testing-solutions-to-inequalities--basic-
Practice plugging in values to inequalities, like x>5, and checking to see if the inequalities hold true.
6
Expressions and Equations
Math.CC.6.EE.B.5
Testing solutions to inequalities
https://www.khanacademy.org/e/testing-solutions-of-inequalities
Practice plugging in values to inequalities, like 2x<14, and checking to see if the inequalities hold true.
6
Expressions and Equations
Math.CC.6.EE.B.5
Testing solutions to equations
https://www.khanacademy.org/e/testing-solutions-of-equations-inequalities
Practice plugging in values to equations and checking to see if the equations hold true.
6
Expressions and Equations
Math.CC.6.EE.B.5
Identify equations from visual models
https://www.khanacademy.org/e/identify-equations-from-visual-models
Use tape diagrams and hanger diagrams to identify equations.
6
Expressions and Equations
Math.CC.6.EE.B.5
Solve equations from visual models
https://www.khanacademy.org/e/visualize-equations
Use a visual model of an equation to solve for the unknown in the equation. Â
6
Expressions and Equations
Math.CC.6.EE.B.5
Identify and solve equations from visual models
https://www.khanacademy.org/e/identify-and-solve-equations-from-visual-models
Identify the equation represented by a tape diagram or hanger diagram. Then, solve for the unknown in the equation.
6
Expressions and Equations
Math.CC.6.EE.B.6
Model with one-step equations
https://www.khanacademy.org/e/equations-in-one-variable-1
Practice writing basic equations to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.B.6
Translate one-step equations and solve
https://www.khanacademy.org/e/translate-one-step-equations-and-solve--basic-
Write a statement like, '8 more than y is 17' as an equation. Then, solve for the variable.
6
Expressions and Equations
Math.CC.6.EE.B.6
Model with one-step equations and solve
https://www.khanacademy.org/e/model-with-one-step-equations-and-solve
Practice writing basic equations to model real-world situations. Then solve for the variable.
6
Expressions and Equations
Math.CC.6.EE.B.7
Find the mistake in one-step equations
https://www.khanacademy.org/e/find-the-mistake-in-solving-one-step-equations
Practice spotting the mistake in someone else's work as they attempt to solve one-step equations.
6
Expressions and Equations
Math.CC.6.EE.B.7
Translate one-step equations and solve
https://www.khanacademy.org/e/translate-one-step-equations-and-solve--basic-
Write a statement like, '8 more than y is 17' as an equation. Then, solve for the variable.
6
Expressions and Equations
Math.CC.6.EE.B.7
One-step addition & subtraction equations
https://www.khanacademy.org/e/one_step_equations
Practice solving equations in one step by adding or subtracting the same value from both sides.
6
Expressions and Equations
Math.CC.6.EE.B.7
One-step multiplication & division equations
https://www.khanacademy.org/e/linear_equations_1
Practice solving equations in one step by multiplying or dividing a value from both sides.
6
Expressions and Equations
Math.CC.6.EE.B.7
Solve equations from visual models
https://www.khanacademy.org/e/visualize-equations
Use a visual model of an equation to solve for the unknown in the equation. Â
6
Expressions and Equations
Math.CC.6.EE.B.7
Model with one-step equations
https://www.khanacademy.org/e/equations-in-one-variable-1
Practice writing basic equations to model real-world situations.
6
Expressions and Equations
Math.CC.6.EE.B.7
One-step addition & subtraction equations: fractions & decimals
https://www.khanacademy.org/e/one-step-add-sub-equations-2
Practice solving equations in one step by adding or subtracting a number from both sides. These problems involve decimals and fractions.
6
Expressions and Equations
Math.CC.6.EE.B.7
Inequalities word problems
https://www.khanacademy.org/e/inequalities-in-one-variable-1
Practice writing inequalities with variables to describe real-world situations.
6
Expressions and Equations
Math.CC.6.EE.B.7
Identify equations from visual models
https://www.khanacademy.org/e/identify-equations-from-visual-models
Use tape diagrams and hanger diagrams to identify equations.
6
Expressions and Equations
Math.CC.6.EE.B.7
Identify and solve equations from visual models
https://www.khanacademy.org/e/identify-and-solve-equations-from-visual-models
Identify the equation represented by a tape diagram or hanger diagram. Then, solve for the unknown in the equation.
6
Expressions and Equations
Math.CC.6.EE.B.7
Testing solutions to equations
https://www.khanacademy.org/e/testing-solutions-of-equations-inequalities
Practice plugging in values to equations and checking to see if the equations hold true.
6
Expressions and Equations
Math.CC.6.EE.B.7
Model with one-step equations and solve
https://www.khanacademy.org/e/model-with-one-step-equations-and-solve
Practice writing basic equations to model real-world situations. Then solve for the variable.
6
Expressions and Equations
Math.CC.6.EE.B.7
One-step multiplication & division equations: fractions & decimals
https://www.khanacademy.org/e/one-step-mult-div-equations-2
Practice solving equations in one step by multiplying or dividing a number from both sides. These problems involve decimals and fractions.
6
Expressions and Equations
Math.CC.6.EE.B.8
Inequalities word problems
https://www.khanacademy.org/e/inequalities-in-one-variable-1
Practice writing inequalities with variables to describe real-world situations.
6
Expressions and Equations
Math.CC.6.EE.B.8
Inequality from graph
https://www.khanacademy.org/e/inequality-from-graph
Practice writing equations of inequalities graphed on number lines.
6
Expressions and Equations
Math.CC.6.EE.B.8
Plotting inequalities
https://www.khanacademy.org/e/inequalities_on_a_number_line
 Create  number line graphs of inequalities.
6
Expressions and Equations
Math.CC.6.EE.C.9
Tables from equations with 2 variables
https://www.khanacademy.org/e/complete-a-table-from-a-two-variable-equation
Complete a table and identify coordinates when given a two-variable equation, such as y=2x+4.
6
Expressions and Equations
Math.CC.6.EE.C.9
Independent versus dependent variables
https://www.khanacademy.org/e/dependent-and-independent-variables
Practice figuring out if a variable is dependent or independent.
6
Expressions and Equations
Math.CC.6.EE.C.9
Match equations to coordinates on a line
https://www.khanacademy.org/e/match-equations-to-coordinates-on-a-line
Identify the coordinates or line that matches a two-variable equation. Also, identify the corresponding equation when given a line and coordinates.
6
Expressions and Equations
Math.CC.6.EE.C.9
Relationships between quantities in equations and graphs
https://www.khanacademy.org/e/create-two-variable-equations-from-real-world-contexts
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity in terms of the other quantity. Then, analyze the relationship between the variables using graphs and tables, and relate these to the equation.
6
Geometry
Math.CC.6.G.A.1
Area of parallelograms
https://www.khanacademy.org/e/area_of_parallelograms
Practice finding the area of parallelograms given base and height.
6
Geometry
Math.CC.6.G.A.1
Area of composite shapes
https://www.khanacademy.org/e/area-of-quadrilaterals-and-polygons
Practice finding the areas of complex shapes that are composed of smaller shapes.
6
Geometry
Math.CC.6.G.A.1
Find missing length when given area of a parallelogram
https://www.khanacademy.org/e/find-missing-side-when-given-area-of-a-parallelogram
Find the base or height of a parallelogram when given the other and the area.
6
Geometry
Math.CC.6.G.A.1
Area of right triangles
https://www.khanacademy.org/e/area-of-right-triangles
Find the area of right triangles
6
Geometry
Math.CC.6.G.A.1
Find base and height on a triangle
https://www.khanacademy.org/e/find-base-and-height-on-a-triangle
Identify the height of a triangle when given the base.
6
Geometry
Math.CC.6.G.A.1
Find missing length when given area of a triangle
https://www.khanacademy.org/e/find-length-when-given-area-of-a-triangle
Find the base or height of a triangle when given the other and the area.
6
Geometry
Math.CC.6.G.A.1
Area of triangles
https://www.khanacademy.org/e/area_of_triangles_1
Practice finding the area of right, acute, and obtuse triangles.
6
Geometry
Math.CC.6.G.A.1
Area of trapezoids
https://www.khanacademy.org/e/areas_of_trapezoids_rhombi_and_kites
Practice finding the areas of trapezoids.
6
Geometry
Math.CC.6.G.A.1
Area challenge
https://www.khanacademy.org/e/composing-and-decomposing-shapes
Practice solving problems involving triangles, parallelograms, and composite figures. Exercises include decimals, fractions, and word problems. Area of circles is not included.
6
Geometry
Math.CC.6.G.A.2
Volume with fractions
https://www.khanacademy.org/e/volume_with_fractions
Practice finding the volume of rectangular prisms that have fractional side lengths.
6
Geometry
Math.CC.6.G.A.2
Volume word problems: fractions & decimals
https://www.khanacademy.org/e/volume-word-problems-with-fractions
Practice solving volume word problems involving objects like fish tanks, truck beds, and refrigerators.Â
6
Geometry
Math.CC.6.G.A.2
Volume by multiplying area of base times height
https://www.khanacademy.org/e/find-volume-by-multiplying-area-of-base-times-height
Find the volume of a rectangular prism by multiplying the area of the base by the height of the figure. Measurements include fractions.
6
Geometry
Math.CC.6.G.A.2
Volume with cubes with fraction lengths
https://www.khanacademy.org/e/volume-with-cubes-with-fraction-lengths
Find volume of rectangular prisms by using cubes with fraction side lengths.
6
Geometry
Math.CC.6.G.A.3
Quadrilateral problems on the coordinate plane
https://www.khanacademy.org/e/polygons-in-the-coordinate-plane
Challenge problems involving the coordinates of the vertices of the quadrilaterals
6
Geometry
Math.CC.6.G.A.3
Area and perimeter on the coordinate plane
https://www.khanacademy.org/e/area-and-perimeter-on-the-coordinate-plane
Find the area and perimeter of quadrilaterals using their coordinates.
6
Geometry
Math.CC.6.G.A.3
Drawing polygons with coordinates
https://www.khanacademy.org/e/drawing-polygons
Practice drawing shapes on the coordinate plane.
6
Geometry
Math.CC.6.G.A.4
Surface area
https://www.khanacademy.org/e/surface-areas
Practice finding the surface area of 3D objects.
6
Geometry
Math.CC.6.G.A.4
Surface area word problems
https://www.khanacademy.org/e/surface-area-word-problems
Solve word problems that involve surface area of pyramids and prisms.
6
Geometry
Math.CC.6.G.A.4
Nets of polyhedra
https://www.khanacademy.org/e/nets-of-3d-figures
Practice matching 2D nets to the 3D shapes the fold up into.
6
Geometry
Math.CC.6.G.A.4
Find surface area by adding areas of faces
https://www.khanacademy.org/e/find-surface-area-by-adding-areas-of-faces
Determine the expression that finds surface area of a 3D shape by adding the area of each face.
6
Geometry
Math.CC.6.G.A.4
Surface area using nets
https://www.khanacademy.org/e/surface-area
Practice using the net of a 3D figure to find surface area.
6
The Number System
Math.CC.6.NS.A.1
Dividing fractions
https://www.khanacademy.org/e/dividing_fractions_1.5
Practice dividing fractions by fractions. No negative numbers are used in this exercise.
6
The Number System
Math.CC.6.NS.A.1
Dividing fractions word problems
https://www.khanacademy.org/e/dividing-fractions-by-fractions-word-problems
Practice solving word problems by dividing fractions by fractions.
6
The Number System
Math.CC.6.NS.A.1
Divide mixed numbers
https://www.khanacademy.org/e/divide-mixed-numbers
Divide mixed numbers by fractions, whole numbers, and mixed numbers.
6
The Number System
Math.CC.6.NS.A.1
Divide whole numbers by fractions
https://www.khanacademy.org/e/divide-whole-numbers-by-fractions
Practice dividing whole numbers by fractions.
6
The Number System
Math.CC.6.NS.B.2
Division by 2-digits
https://www.khanacademy.org/e/division_3
Divide 3-digit and 4-digit numbers by a 2-digit number without remainders.
6
The Number System
Math.CC.6.NS.B.2
Multi-digit division
https://www.khanacademy.org/e/division_4
Practice dividing multi-digit whole numbers. These problems use remainders.
6
The Number System
Math.CC.6.NS.B.3
Multiplying decimals like 2.45x3.6 (standard algorithm)
https://www.khanacademy.org/e/multiplying_decimals_1
Multiply two numbers. Â Factors are written to the ones, tenths, or hundredths place. Â
6
The Number System
Math.CC.6.NS.B.3
Multiplying decimals like 4x0.6 (standard algorithm)
https://www.khanacademy.org/e/multiplying_decimals_0.5
Multiply a whole number times a decimal written to the tenths or hundredths place. Â
6
The Number System
Math.CC.6.NS.B.3
Multiplying decimals like 0.847x3.54 (standard algorithm)
https://www.khanacademy.org/e/multiplying_decimals
Practice multiplying two numbers that are written to the tenths, hundredths, or thousandths place.
6
The Number System
Math.CC.6.NS.B.3
Dividing whole numbers like 56÷35 to get a decimal
https://www.khanacademy.org/e/dividing_decimals_0.5
Divide two whole numbers to get a quotient with a decimal. Â This exercise uses the standard algorithm to find the quotient.
6
The Number System
Math.CC.6.NS.B.3
Adding & subtracting decimals word problems
https://www.khanacademy.org/e/adding_and_subtracting_decimals_word_problems
Practice solving word problems by adding or subtracting decimal numbers.
6
The Number System
Math.CC.6.NS.B.3
Subtracting decimals: hundredths
https://www.khanacademy.org/e/subtracting_decimals
Complete subtraction problems where both numbers are written to the hundredths place. Â Â
6
The Number System
Math.CC.6.NS.B.3
Adding decimals: thousandths
https://www.khanacademy.org/e/adding_decimals_2
Practice adding two numbers that are written to the tenths, hundredths, or thousandths place.
6
The Number System
Math.CC.6.NS.B.3
Dividing decimals: thousandths
https://www.khanacademy.org/e/dividing_decimals
Practice dividing decimal numbers using "long division".Â
6
The Number System
Math.CC.6.NS.B.3
Adding decimals: hundredths
https://www.khanacademy.org/e/adding_decimals
Add two numbers that are written to the ones, tenths, or hundredths place.Â
6
The Number System
Math.CC.6.NS.B.3
Subtracting decimals: thousandths
https://www.khanacademy.org/e/subtracting_decimals_2
Practice subtracting two numbers that are written to the tenths, hundredths, or thousandths place.
6
The Number System
Math.CC.6.NS.B.3
Dividing decimals: hundredths
https://www.khanacademy.org/e/dividing_decimals_3
Divide two numbers. Â Divisors, dividends, and quotients include decimals written to the tenths or hundredths place. Â This exercise uses the standard algorithm to find the quotient.
6
The Number System
Math.CC.6.NS.B.3
Adding decimals: tenths
https://www.khanacademy.org/e/adding_decimals_0.5
Add two numbers that are either whole numbers or written to the tenths place value.
6
The Number System
Math.CC.6.NS.B.4
Greatest common factor
https://www.khanacademy.org/e/greatest_common_divisor
Find the greatest common factor of 2 or 3 integers.
6
The Number System
Math.CC.6.NS.B.4
Least common multiple
https://www.khanacademy.org/e/least_common_multiple
Find the lcm (least common multiple) of pairs of integers.
6
The Number System
Math.CC.6.NS.B.4
GCF & LCM word problems
https://www.khanacademy.org/e/gcf-and-lcm-word-problems
Solve word problems where you either need to find the GCF or LCM.
6
The Number System
Math.CC.6.NS.C.5
Interpreting negative numbers
https://www.khanacademy.org/e/negative_number_word_problems
Practice explaining the meaning of negative numbers in different scenarios.
6
The Number System
Math.CC.6.NS.C.6
Reflecting points in the coordinate plane
https://www.khanacademy.org/e/reflecting-points
Practice reflecting points across axes on the xy coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Number opposites
https://www.khanacademy.org/e/number-opposites
Practice finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Number opposites challenge
https://www.khanacademy.org/e/opposites-on-the-number-line
Practice solving more challenging problems finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Negative numbers on the number line
https://www.khanacademy.org/e/number_line_2
Identify positive and negative integers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Points on the coordinate plane
https://www.khanacademy.org/e/identifying_points_1
Practice graphing points like (-2, 4) on a coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Reflecting points in the coordinate plane
https://www.khanacademy.org/e/reflecting-points
Practice reflecting points across axes on the xy coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Points on the coordinate plane
https://www.khanacademy.org/e/identifying_points_1
Practice graphing points like (-2, 4) on a coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Number opposites challenge
https://www.khanacademy.org/e/opposites-on-the-number-line
Practice solving more challenging problems finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Number opposites
https://www.khanacademy.org/e/number-opposites
Practice finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Distance between points: vertical or horizontal
https://www.khanacademy.org/e/relative-position-on-the-coordinate-plane
Practice finding the distance between two points on the coordinate plane that share the same x- or y-coordinate.Â
6
The Number System
Math.CC.6.NS.C.6
Distance between points: vertical or horizontal
https://www.khanacademy.org/e/relative-position-on-the-coordinate-plane
Practice finding the distance between two points on the coordinate plane that share the same x- or y-coordinate.Â
6
The Number System
Math.CC.6.NS.C.6
Rational numbers on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_3
Practice placing positive and negative fractions and decimals on the number line.
6
The Number System
Math.CC.6.NS.C.6
Rational numbers on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_3
Practice placing positive and negative fractions and decimals on the number line.
6
The Number System
Math.CC.6.NS.C.6
Negative numbers on the number line
https://www.khanacademy.org/e/number_line_2
Identify positive and negative integers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Negative symbol as opposite
https://www.khanacademy.org/e/negative-symbol-as-opposite
Recognize the negative sign as meaning the opposite of a number. Â Use the negative sign to find the opposites of numbers. Â In some items, we will find the opposite of an opposite. Â
6
The Number System
Math.CC.6.NS.C.6
Points on the coordinate plane
https://www.khanacademy.org/e/identifying_points_1
Practice graphing points like (-2, 4) on a coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Number opposites
https://www.khanacademy.org/e/number-opposites
Practice finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Negative numbers on the number line
https://www.khanacademy.org/e/number_line_2
Identify positive and negative integers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Coordinate plane problems in all four quadrants
https://www.khanacademy.org/e/coordinate-plane-word-problems
Practice solving word problems by interpreting the meaning of points plotted on an xy coordinate system.
6
The Number System
Math.CC.6.NS.C.6
Negative decimals on the number line
https://www.khanacademy.org/e/decimals_on_the_number_line_3
Practice placing positive and negative decimal numbers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Points on the coordinate plane
https://www.khanacademy.org/e/identifying_points_1
Practice graphing points like (-2, 4) on a coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Negative symbol as opposite
https://www.khanacademy.org/e/negative-symbol-as-opposite
Recognize the negative sign as meaning the opposite of a number. Â Use the negative sign to find the opposites of numbers. Â In some items, we will find the opposite of an opposite. Â
6
The Number System
Math.CC.6.NS.C.6
Coordinate plane problems in all four quadrants
https://www.khanacademy.org/e/coordinate-plane-word-problems
Practice solving word problems by interpreting the meaning of points plotted on an xy coordinate system.
6
The Number System
Math.CC.6.NS.C.6
Quadrants on the coordinate plane
https://www.khanacademy.org/e/graphing_points_2
Practice graphing points on a coordinate plane and identifying the quadrant or axis where they are located.
6
The Number System
Math.CC.6.NS.C.6
Reflecting points in the coordinate plane
https://www.khanacademy.org/e/reflecting-points
Practice reflecting points across axes on the xy coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Number opposites
https://www.khanacademy.org/e/number-opposites
Practice finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Quadrants on the coordinate plane
https://www.khanacademy.org/e/graphing_points_2
Practice graphing points on a coordinate plane and identifying the quadrant or axis where they are located.
6
The Number System
Math.CC.6.NS.C.6
Distance between points: vertical or horizontal
https://www.khanacademy.org/e/relative-position-on-the-coordinate-plane
Practice finding the distance between two points on the coordinate plane that share the same x- or y-coordinate.Â
6
The Number System
Math.CC.6.NS.C.6
Negative numbers on the number line
https://www.khanacademy.org/e/number_line_2
Identify positive and negative integers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Distance between points: vertical or horizontal
https://www.khanacademy.org/e/relative-position-on-the-coordinate-plane
Practice finding the distance between two points on the coordinate plane that share the same x- or y-coordinate.Â
6
The Number System
Math.CC.6.NS.C.6
Reflecting points in the coordinate plane
https://www.khanacademy.org/e/reflecting-points
Practice reflecting points across axes on the xy coordinate plane.
6
The Number System
Math.CC.6.NS.C.6
Quadrants on the coordinate plane
https://www.khanacademy.org/e/graphing_points_2
Practice graphing points on a coordinate plane and identifying the quadrant or axis where they are located.
6
The Number System
Math.CC.6.NS.C.6
Negative symbol as opposite
https://www.khanacademy.org/e/negative-symbol-as-opposite
Recognize the negative sign as meaning the opposite of a number. Â Use the negative sign to find the opposites of numbers. Â In some items, we will find the opposite of an opposite. Â
6
The Number System
Math.CC.6.NS.C.6
Negative decimals on the number line
https://www.khanacademy.org/e/decimals_on_the_number_line_3
Practice placing positive and negative decimal numbers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Coordinate plane problems in all four quadrants
https://www.khanacademy.org/e/coordinate-plane-word-problems
Practice solving word problems by interpreting the meaning of points plotted on an xy coordinate system.
6
The Number System
Math.CC.6.NS.C.6
Negative decimals on the number line
https://www.khanacademy.org/e/decimals_on_the_number_line_3
Practice placing positive and negative decimal numbers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Rational numbers on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_3
Practice placing positive and negative fractions and decimals on the number line.
6
The Number System
Math.CC.6.NS.C.6
Rational numbers on the number line
https://www.khanacademy.org/e/fractions_on_the_number_line_3
Practice placing positive and negative fractions and decimals on the number line.
6
The Number System
Math.CC.6.NS.C.6
Number opposites challenge
https://www.khanacademy.org/e/opposites-on-the-number-line
Practice solving more challenging problems finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Number opposites challenge
https://www.khanacademy.org/e/opposites-on-the-number-line
Practice solving more challenging problems finding the opposites of numbers. Numbers are opposites when they're on opposite sides of the number line the same distance from zero.
6
The Number System
Math.CC.6.NS.C.6
Negative symbol as opposite
https://www.khanacademy.org/e/negative-symbol-as-opposite
Recognize the negative sign as meaning the opposite of a number. Â Use the negative sign to find the opposites of numbers. Â In some items, we will find the opposite of an opposite. Â
6
The Number System
Math.CC.6.NS.C.6
Negative decimals on the number line
https://www.khanacademy.org/e/decimals_on_the_number_line_3
Practice placing positive and negative decimal numbers on the number line.
6
The Number System
Math.CC.6.NS.C.6
Coordinate plane problems in all four quadrants
https://www.khanacademy.org/e/coordinate-plane-word-problems
Practice solving word problems by interpreting the meaning of points plotted on an xy coordinate system.
6
The Number System
Math.CC.6.NS.C.6
Quadrants on the coordinate plane
https://www.khanacademy.org/e/graphing_points_2
Practice graphing points on a coordinate plane and identifying the quadrant or axis where they are located.
6
The Number System
Math.CC.6.NS.C.7
Interpreting absolute value
https://www.khanacademy.org/e/absolute-value-word-problems
Practice understanding the meaning of absolute value in real-world scenarios.
6
The Number System
Math.CC.6.NS.C.7
Ordering small negative numbers
https://www.khanacademy.org/e/ordering-small-negative-numbers
Practice putting positive and negative numbers in order. For example, --2, 1, -5, and 3.
6
The Number System
Math.CC.6.NS.C.7
Ordering small negative numbers
https://www.khanacademy.org/e/ordering-small-negative-numbers
Practice putting positive and negative numbers in order. For example, --2, 1, -5, and 3.
6
The Number System
Math.CC.6.NS.C.7
Negative numbers, variables, number line
https://www.khanacademy.org/e/understanding-inequalities-and-the-number-line
Practice comparing positive and negative numbers by thinking about their positions on the number line. Numbers to the right are greater than numbers to the left.
6
The Number System
Math.CC.6.NS.C.7
Ordering negative numbers
https://www.khanacademy.org/e/ordering_negative_numbers
Practice putting positive and negative numbers in order. For example, -28, 12, -51, and 43.
6
The Number System
Math.CC.6.NS.C.7
Negative numbers, variables, number line
https://www.khanacademy.org/e/understanding-inequalities-and-the-number-line
Practice comparing positive and negative numbers by thinking about their positions on the number line. Numbers to the right are greater than numbers to the left.
6
The Number System
Math.CC.6.NS.C.7
Writing numerical inequalities
https://www.khanacademy.org/e/writing-numerical-inequalities
Practice writing inequalities to describe real-world situations.
6
The Number System
Math.CC.6.NS.C.7
Compare and order absolute values
https://www.khanacademy.org/e/comparing_absolute_values
Write an inequality to compare absolute values. Â Order numbers written in absolute value form from least to greatest.
6
The Number System
Math.CC.6.NS.C.7
Writing numerical inequalities
https://www.khanacademy.org/e/writing-numerical-inequalities
Practice writing inequalities to describe real-world situations.
6
The Number System
Math.CC.6.NS.C.7
Finding absolute values
https://www.khanacademy.org/e/absolute_value
Practice finding the absolute value of a number, like -4 or 3.
6
The Number System
Math.CC.6.NS.C.7
Compare and order absolute values
https://www.khanacademy.org/e/comparing_absolute_values
Write an inequality to compare absolute values. Â Order numbers written in absolute value form from least to greatest.
6
The Number System
Math.CC.6.NS.C.7
Compare and order rational numbers
https://www.khanacademy.org/e/ordering-rational-numbers
Practice putting positive and negative fractions and decimals in order. For example, -12/4, -2.5, and 3.25.
6
The Number System
Math.CC.6.NS.C.7
Compare and order absolute values
https://www.khanacademy.org/e/comparing_absolute_values
Write an inequality to compare absolute values. Â Order numbers written in absolute value form from least to greatest.
6
The Number System
Math.CC.6.NS.C.7
Finding absolute values
https://www.khanacademy.org/e/absolute_value
Practice finding the absolute value of a number, like -4 or 3.
6
The Number System
Math.CC.6.NS.C.7
Comparing absolute values challenge
https://www.khanacademy.org/e/comparing-absolute-values-2
Practice more challenging comparison problems with absolute value.
6
The Number System
Math.CC.6.NS.C.7
Ordering negative numbers
https://www.khanacademy.org/e/ordering_negative_numbers
Practice putting positive and negative numbers in order. For example, -28, 12, -51, and 43.
6
The Number System
Math.CC.6.NS.C.7
Compare and order rational numbers
https://www.khanacademy.org/e/ordering-rational-numbers
Practice putting positive and negative fractions and decimals in order. For example, -12/4, -2.5, and 3.25.
6
The Number System
Math.CC.6.NS.C.7
Writing numerical inequalities
https://www.khanacademy.org/e/writing-numerical-inequalities
Practice writing inequalities to describe real-world situations.
6
The Number System
Math.CC.6.NS.C.7
Finding absolute values
https://www.khanacademy.org/e/absolute_value
Practice finding the absolute value of a number, like -4 or 3.
6
The Number System
Math.CC.6.NS.C.7
Interpreting absolute value
https://www.khanacademy.org/e/absolute-value-word-problems
Practice understanding the meaning of absolute value in real-world scenarios.
6
The Number System
Math.CC.6.NS.C.7
Comparing absolute values challenge
https://www.khanacademy.org/e/comparing-absolute-values-2
Practice more challenging comparison problems with absolute value.
6
The Number System
Math.CC.6.NS.C.7
Comparing absolute values challenge
https://www.khanacademy.org/e/comparing-absolute-values-2
Practice more challenging comparison problems with absolute value.
6
The Number System
Math.CC.6.NS.C.7
Compare and order absolute values
https://www.khanacademy.org/e/comparing_absolute_values
Write an inequality to compare absolute values. Â Order numbers written in absolute value form from least to greatest.
6
The Number System
Math.CC.6.NS.C.7
Compare and order rational numbers
https://www.khanacademy.org/e/ordering-rational-numbers
Practice putting positive and negative fractions and decimals in order. For example, -12/4, -2.5, and 3.25.
6
The Number System
Math.CC.6.NS.C.7
Ordering small negative numbers
https://www.khanacademy.org/e/ordering-small-negative-numbers
Practice putting positive and negative numbers in order. For example, --2, 1, -5, and 3.
6
The Number System
Math.CC.6.NS.C.7
Interpreting absolute value
https://www.khanacademy.org/e/absolute-value-word-problems
Practice understanding the meaning of absolute value in real-world scenarios.
6
The Number System
Math.CC.6.NS.C.7
Interpreting absolute value
https://www.khanacademy.org/e/absolute-value-word-problems
Practice understanding the meaning of absolute value in real-world scenarios.
6
The Number System
Math.CC.6.NS.C.7
Ordering negative numbers
https://www.khanacademy.org/e/ordering_negative_numbers
Practice putting positive and negative numbers in order. For example, -28, 12, -51, and 43.
6
The Number System
Math.CC.6.NS.C.7
Negative numbers, variables, number line
https://www.khanacademy.org/e/understanding-inequalities-and-the-number-line
Practice comparing positive and negative numbers by thinking about their positions on the number line. Numbers to the right are greater than numbers to the left.
6
The Number System
Math.CC.6.NS.C.7
Negative numbers, variables, number line
https://www.khanacademy.org/e/understanding-inequalities-and-the-number-line
Practice comparing positive and negative numbers by thinking about their positions on the number line. Numbers to the right are greater than numbers to the left.
6
The Number System
Math.CC.6.NS.C.7
Finding absolute values
https://www.khanacademy.org/e/absolute_value
Practice finding the absolute value of a number, like -4 or 3.
6
The Number System
Math.CC.6.NS.C.7
Ordering negative numbers
https://www.khanacademy.org/e/ordering_negative_numbers
Practice putting positive and negative numbers in order. For example, -28, 12, -51, and 43.
6
The Number System
Math.CC.6.NS.C.7
Compare and order rational numbers
https://www.khanacademy.org/e/ordering-rational-numbers
Practice putting positive and negative fractions and decimals in order. For example, -12/4, -2.5, and 3.25.
6
The Number System
Math.CC.6.NS.C.7
Compare and order absolute values
https://www.khanacademy.org/e/comparing_absolute_values
Write an inequality to compare absolute values. Â Order numbers written in absolute value form from least to greatest.
6
The Number System
Math.CC.6.NS.C.7
Compare and order rational numbers
https://www.khanacademy.org/e/ordering-rational-numbers
Practice putting positive and negative fractions and decimals in order. For example, -12/4, -2.5, and 3.25.
6
The Number System
Math.CC.6.NS.C.7
Comparing absolute values challenge
https://www.khanacademy.org/e/comparing-absolute-values-2
Practice more challenging comparison problems with absolute value.
6
The Number System
Math.CC.6.NS.C.7
Interpreting absolute value
https://www.khanacademy.org/e/absolute-value-word-problems
Practice understanding the meaning of absolute value in real-world scenarios.
6
The Number System
Math.CC.6.NS.C.7
Ordering small negative numbers
https://www.khanacademy.org/e/ordering-small-negative-numbers
Practice putting positive and negative numbers in order. For example, --2, 1, -5, and 3.
6
The Number System
Math.CC.6.NS.C.7
Finding absolute values
https://www.khanacademy.org/e/absolute_value
Practice finding the absolute value of a number, like -4 or 3.
6
The Number System
Math.CC.6.NS.C.7
Ordering small negative numbers
https://www.khanacademy.org/e/ordering-small-negative-numbers
Practice putting positive and negative numbers in order. For example, --2, 1, -5, and 3.
6
The Number System
Math.CC.6.NS.C.7
Writing numerical inequalities
https://www.khanacademy.org/e/writing-numerical-inequalities
Practice writing inequalities to describe real-world situations.
6
The Number System
Math.CC.6.NS.C.7
Ordering negative numbers
https://www.khanacademy.org/e/ordering_negative_numbers
Practice putting positive and negative numbers in order. For example, -28, 12, -51, and 43.
6
The Number System
Math.CC.6.NS.C.7
Comparing absolute values challenge
https://www.khanacademy.org/e/comparing-absolute-values-2
Practice more challenging comparison problems with absolute value.
6
The Number System
Math.CC.6.NS.C.7
Negative numbers, variables, number line
https://www.khanacademy.org/e/understanding-inequalities-and-the-number-line
Practice comparing positive and negative numbers by thinking about their positions on the number line. Numbers to the right are greater than numbers to the left.
6
The Number System
Math.CC.6.NS.C.7
Writing numerical inequalities
https://www.khanacademy.org/e/writing-numerical-inequalities
Practice writing inequalities to describe real-world situations.
6
The Number System
Math.CC.6.NS.C.8
Distance between points: vertical or horizontal
https://www.khanacademy.org/e/relative-position-on-the-coordinate-plane
Practice finding the distance between two points on the coordinate plane that share the same x- or y-coordinate.Â
6
The Number System
Math.CC.6.NS.C.8
Reflecting points in the coordinate plane
https://www.khanacademy.org/e/reflecting-points
Practice reflecting points across axes on the xy coordinate plane.
6
The Number System
Math.CC.6.NS.C.8
Coordinate plane problems in all four quadrants
https://www.khanacademy.org/e/coordinate-plane-word-problems
Practice solving word problems by interpreting the meaning of points plotted on an xy coordinate system.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.1
Equivalent ratios
https://www.khanacademy.org/e/equivalent-ratios
Solve simple problems of finding one or more equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.1
Ratios with double number lines
https://www.khanacademy.org/e/ratios-with-double-number-lines
Use double number lines to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.1
Basic ratios
https://www.khanacademy.org/e/representing-ratios
Choose the ratio that goes with a picture of two quantities like apples and bananas.Â
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.1
Ratios with tape diagrams
https://www.khanacademy.org/e/ratios-with-tape-diagrams
Use tape diagrams to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.2
Rate problems
https://www.khanacademy.org/e/rate_problems_0.5
Use rates to solve word problems. For example, Charlie can type 675 words in 9 minutes. How many words can Charlie type in 13 minutes?
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.2
Comparing rates
https://www.khanacademy.org/e/comparing-rates
Example problem: Three different stores are offering a deal on pencils. Which store has the lowest price per pencil?
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.2
Unit rates
https://www.khanacademy.org/e/unit-rates
Find the unit rate for two quantities. For example, if you spend 70 dollars on 8 movie tickets, how much does one movie ticket cost?
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios and units of measurement
https://www.khanacademy.org/e/ratios-and-units-of-measurement
Use ratio reasoning to convert measurement units. Transform units appropriately when multiplying or dividing quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Finding percents
https://www.khanacademy.org/e/finding_percents
Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percents from fraction models
https://www.khanacademy.org/e/percents-from-fraction-models
Identify percents from fraction models and tape diagrams.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratio tables
https://www.khanacademy.org/e/solving-ratio-problems-with-tables
Practice filling out tables of equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with double number lines
https://www.khanacademy.org/e/ratios-with-double-number-lines
Use double number lines to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios on coordinate plane
https://www.khanacademy.org/e/ratios-on-coordinate-plane
Make tables of equivalent ratios and plot the pairs of values on the coordinate plane.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Understand equivalent ratios
https://www.khanacademy.org/e/understand-equivalent-ratios
This exercise goes beyond solving for equivalent ratios and gets at what it means for ratios to be equivalent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with tape diagrams
https://www.khanacademy.org/e/ratios-with-tape-diagrams
Use tape diagrams to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios on coordinate plane
https://www.khanacademy.org/e/ratios-on-coordinate-plane
Make tables of equivalent ratios and plot the pairs of values on the coordinate plane.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percents from fraction models
https://www.khanacademy.org/e/percents-from-fraction-models
Identify percents from fraction models and tape diagrams.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Part-part-whole ratios
https://www.khanacademy.org/e/part-part-whole-ratios
Use a ratio of parts and a total to find the quantities of individual parts.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratio word problems
https://www.khanacademy.org/e/ratio_word_problems
Practice solving ratio word problems like, "If Ben reads 10 pages in 15 minutes, how long does it take him to read 40 pages?"
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratio tables
https://www.khanacademy.org/e/solving-ratio-problems-with-tables
Practice filling out tables of equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratios
https://www.khanacademy.org/e/equivalent-ratios
Solve simple problems of finding one or more equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with tape diagrams
https://www.khanacademy.org/e/ratios-with-tape-diagrams
Use tape diagrams to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Understand equivalent ratios
https://www.khanacademy.org/e/understand-equivalent-ratios
This exercise goes beyond solving for equivalent ratios and gets at what it means for ratios to be equivalent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting decimals to percents
https://www.khanacademy.org/e/converting_decimals_to_percents
Practice expressing a decimal like 0.546 as a percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Relate fractions, decimals, and percents
https://www.khanacademy.org/e/relate-fractions--decimals--and-percents
Use fraction models and hundredths grids to identify equivalent fractions, decimals, and percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents & fractions
https://www.khanacademy.org/e/converting-between-fractions-and-percents
Practice writing percents as fractions and fractions as percents. For example, convert 30% to a simplified fraction.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Finding percents
https://www.khanacademy.org/e/finding_percents
Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents to decimals
https://www.khanacademy.org/e/converting_percents_to_decimals
Practice expressing a percent like 12.3% as a decimal.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Intro to percents
https://www.khanacademy.org/e/intro-to-percents
Use hundreds grids to identify percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with double number lines
https://www.khanacademy.org/e/ratios-with-double-number-lines
Use double number lines to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Intro to percents
https://www.khanacademy.org/e/intro-to-percents
Use hundreds grids to identify percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratios
https://www.khanacademy.org/e/equivalent-ratios
Solve simple problems of finding one or more equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios and units of measurement
https://www.khanacademy.org/e/ratios-and-units-of-measurement
Use ratio reasoning to convert measurement units. Transform units appropriately when multiplying or dividing quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percent word problems
https://www.khanacademy.org/e/percentage_word_problems_1
Practice solving word problems involving percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting decimals to percents
https://www.khanacademy.org/e/converting_decimals_to_percents
Practice expressing a decimal like 0.546 as a percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents & fractions
https://www.khanacademy.org/e/converting-between-fractions-and-percents
Practice writing percents as fractions and fractions as percents. For example, convert 30% to a simplified fraction.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Finding percents
https://www.khanacademy.org/e/finding_percents
Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratios
https://www.khanacademy.org/e/equivalent-ratios
Solve simple problems of finding one or more equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Relate fractions, decimals, and percents
https://www.khanacademy.org/e/relate-fractions--decimals--and-percents
Use fraction models and hundredths grids to identify equivalent fractions, decimals, and percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Understand equivalent ratios
https://www.khanacademy.org/e/understand-equivalent-ratios
This exercise goes beyond solving for equivalent ratios and gets at what it means for ratios to be equivalent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratio word problems
https://www.khanacademy.org/e/ratio_word_problems
Practice solving ratio word problems like, "If Ben reads 10 pages in 15 minutes, how long does it take him to read 40 pages?"
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percents from fraction models
https://www.khanacademy.org/e/percents-from-fraction-models
Identify percents from fraction models and tape diagrams.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percent word problems
https://www.khanacademy.org/e/percentage_word_problems_1
Practice solving word problems involving percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratio tables
https://www.khanacademy.org/e/solving-ratio-problems-with-tables
Practice filling out tables of equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with tape diagrams
https://www.khanacademy.org/e/ratios-with-tape-diagrams
Use tape diagrams to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Part-part-whole ratios
https://www.khanacademy.org/e/part-part-whole-ratios
Use a ratio of parts and a total to find the quantities of individual parts.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios on coordinate plane
https://www.khanacademy.org/e/ratios-on-coordinate-plane
Make tables of equivalent ratios and plot the pairs of values on the coordinate plane.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Intro to percents
https://www.khanacademy.org/e/intro-to-percents
Use hundreds grids to identify percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios and units of measurement
https://www.khanacademy.org/e/ratios-and-units-of-measurement
Use ratio reasoning to convert measurement units. Transform units appropriately when multiplying or dividing quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents & fractions
https://www.khanacademy.org/e/converting-between-fractions-and-percents
Practice writing percents as fractions and fractions as percents. For example, convert 30% to a simplified fraction.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting decimals to percents
https://www.khanacademy.org/e/converting_decimals_to_percents
Practice expressing a decimal like 0.546 as a percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with double number lines
https://www.khanacademy.org/e/ratios-with-double-number-lines
Use double number lines to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents to decimals
https://www.khanacademy.org/e/converting_percents_to_decimals
Practice expressing a percent like 12.3% as a decimal.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents & fractions
https://www.khanacademy.org/e/converting-between-fractions-and-percents
Practice writing percents as fractions and fractions as percents. For example, convert 30% to a simplified fraction.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting decimals to percents
https://www.khanacademy.org/e/converting_decimals_to_percents
Practice expressing a decimal like 0.546 as a percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Part-part-whole ratios
https://www.khanacademy.org/e/part-part-whole-ratios
Use a ratio of parts and a total to find the quantities of individual parts.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Understand equivalent ratios
https://www.khanacademy.org/e/understand-equivalent-ratios
This exercise goes beyond solving for equivalent ratios and gets at what it means for ratios to be equivalent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Finding percents
https://www.khanacademy.org/e/finding_percents
Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Intro to percents
https://www.khanacademy.org/e/intro-to-percents
Use hundreds grids to identify percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percent word problems
https://www.khanacademy.org/e/percentage_word_problems_1
Practice solving word problems involving percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratio word problems
https://www.khanacademy.org/e/ratio_word_problems
Practice solving ratio word problems like, "If Ben reads 10 pages in 15 minutes, how long does it take him to read 40 pages?"
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios and units of measurement
https://www.khanacademy.org/e/ratios-and-units-of-measurement
Use ratio reasoning to convert measurement units. Transform units appropriately when multiplying or dividing quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents to decimals
https://www.khanacademy.org/e/converting_percents_to_decimals
Practice expressing a percent like 12.3% as a decimal.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios on coordinate plane
https://www.khanacademy.org/e/ratios-on-coordinate-plane
Make tables of equivalent ratios and plot the pairs of values on the coordinate plane.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratio tables
https://www.khanacademy.org/e/solving-ratio-problems-with-tables
Practice filling out tables of equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratios
https://www.khanacademy.org/e/equivalent-ratios
Solve simple problems of finding one or more equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratio word problems
https://www.khanacademy.org/e/ratio_word_problems
Practice solving ratio word problems like, "If Ben reads 10 pages in 15 minutes, how long does it take him to read 40 pages?"
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Relate fractions, decimals, and percents
https://www.khanacademy.org/e/relate-fractions--decimals--and-percents
Use fraction models and hundredths grids to identify equivalent fractions, decimals, and percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percents from fraction models
https://www.khanacademy.org/e/percents-from-fraction-models
Identify percents from fraction models and tape diagrams.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Part-part-whole ratios
https://www.khanacademy.org/e/part-part-whole-ratios
Use a ratio of parts and a total to find the quantities of individual parts.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percent word problems
https://www.khanacademy.org/e/percentage_word_problems_1
Practice solving word problems involving percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with tape diagrams
https://www.khanacademy.org/e/ratios-with-tape-diagrams
Use tape diagrams to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with double number lines
https://www.khanacademy.org/e/ratios-with-double-number-lines
Use double number lines to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents to decimals
https://www.khanacademy.org/e/converting_percents_to_decimals
Practice expressing a percent like 12.3% as a decimal.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratios
https://www.khanacademy.org/e/equivalent-ratios
Solve simple problems of finding one or more equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Part-part-whole ratios
https://www.khanacademy.org/e/part-part-whole-ratios
Use a ratio of parts and a total to find the quantities of individual parts.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percent word problems
https://www.khanacademy.org/e/percentage_word_problems_1
Practice solving word problems involving percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios on coordinate plane
https://www.khanacademy.org/e/ratios-on-coordinate-plane
Make tables of equivalent ratios and plot the pairs of values on the coordinate plane.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios and units of measurement
https://www.khanacademy.org/e/ratios-and-units-of-measurement
Use ratio reasoning to convert measurement units. Transform units appropriately when multiplying or dividing quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Finding percents
https://www.khanacademy.org/e/finding_percents
Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Relate fractions, decimals, and percents
https://www.khanacademy.org/e/relate-fractions--decimals--and-percents
Use fraction models and hundredths grids to identify equivalent fractions, decimals, and percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with double number lines
https://www.khanacademy.org/e/ratios-with-double-number-lines
Use double number lines to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Intro to percents
https://www.khanacademy.org/e/intro-to-percents
Use hundreds grids to identify percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratios with tape diagrams
https://www.khanacademy.org/e/ratios-with-tape-diagrams
Use tape diagrams to visualize equivalent ratios and describe a ratio relationship between two quantities.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Understand equivalent ratios
https://www.khanacademy.org/e/understand-equivalent-ratios
This exercise goes beyond solving for equivalent ratios and gets at what it means for ratios to be equivalent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Percents from fraction models
https://www.khanacademy.org/e/percents-from-fraction-models
Identify percents from fraction models and tape diagrams.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Relate fractions, decimals, and percents
https://www.khanacademy.org/e/relate-fractions--decimals--and-percents
Use fraction models and hundredths grids to identify equivalent fractions, decimals, and percents.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Ratio tables
https://www.khanacademy.org/e/solving-ratio-problems-with-tables
Practice filling out tables of equivalent ratios.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents & fractions
https://www.khanacademy.org/e/converting-between-fractions-and-percents
Practice writing percents as fractions and fractions as percents. For example, convert 30% to a simplified fraction.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting decimals to percents
https://www.khanacademy.org/e/converting_decimals_to_percents
Practice expressing a decimal like 0.546 as a percent.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Converting percents to decimals
https://www.khanacademy.org/e/converting_percents_to_decimals
Practice expressing a percent like 12.3% as a decimal.
6
Ratios and Proportional Relationships
Math.CC.6.RP.A.3
Equivalent ratio word problems
https://www.khanacademy.org/e/ratio_word_problems
Practice solving ratio word problems like, "If Ben reads 10 pages in 15 minutes, how long does it take him to read 40 pages?"
6
Statistics and Probability
Math.CC.6.SP.A.1
Statistical questions
https://www.khanacademy.org/e/statistical-questions
Practice spotting the difference between statistical and non-statistical questions.
6
Statistics and Probability
Math.CC.6.SP.A.2
Clusters, gaps, peaks, & outliers
https://www.khanacademy.org/e/clusters--gaps--peaks--and-outliers
Practice some nifty new vocab for describing data distributions.
6
Statistics and Probability
Math.CC.6.SP.A.2
Reading box plots
https://www.khanacademy.org/e/analyzing-data-with-box-plots
Practice reading information presented in box plots.
6
Statistics and Probability
Math.CC.6.SP.A.2
Shape of distributions
https://www.khanacademy.org/e/shape-of-distributions
Practice explaining the shapes of data distributions. Some distributions are symmetrical, perfectly balanced on the left and right. Other distributions are unbalanced. We say they are “skewed†and have “tails."
6
Statistics and Probability
Math.CC.6.SP.A.3
Data set warm-up
https://www.khanacademy.org/e/intro-to-simple-data
Begin your journey into the world of statistics with some warm-up questions about data sets.
6
Statistics and Probability
Math.CC.6.SP.A.3
Reading dot plots & frequency tables
https://www.khanacademy.org/e/analyzing-with-dot-plots
Practice reading basic dot plots and frequency tables.
6
Statistics and Probability
Math.CC.6.SP.A.3
Effects of shifting, adding, & removing a data point
https://www.khanacademy.org/e/effects-of-shifting-adding-removing-data-point
Practice figuring out how the mean and median are affected when a data point is added to, taken from, or shifted within a data set.
6
Statistics and Probability
Math.CC.6.SP.B.4
Calculating the median: data displays
https://www.khanacademy.org/e/calculating-the-median-from-data-displays
Practice computing the median of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.4
Reading box plots
https://www.khanacademy.org/e/analyzing-data-with-box-plots
Practice reading information presented in box plots.
6
Statistics and Probability
Math.CC.6.SP.B.4
Creating frequency tables
https://www.khanacademy.org/e/creating-frequency-tables
Practice creating frequency tables from small data sets.
6
Statistics and Probability
Math.CC.6.SP.B.4
Comparing data displays
https://www.khanacademy.org/e/comparing-data-displays
Practice interpreting and comparing dot plots, histograms, and box plots.
6
Statistics and Probability
Math.CC.6.SP.B.4
Reading dot plots & frequency tables
https://www.khanacademy.org/e/analyzing-with-dot-plots
Practice reading basic dot plots and frequency tables.
6
Statistics and Probability
Math.CC.6.SP.B.4
Creating box plots
https://www.khanacademy.org/e/box-plots
More practice making box plots to summarize data sets.
6
Statistics and Probability
Math.CC.6.SP.B.4
Creating dot plots
https://www.khanacademy.org/e/creating-dot-plots
Practice creating dot plots. Dot plots are very similar to frequency tables, but they make it easier to see the data.
6
Statistics and Probability
Math.CC.6.SP.B.4
Calculating the mean: data displays
https://www.khanacademy.org/e/calculating-the-mean-from-various-data-displays
Practice computing the mean of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.4
Create histograms
https://www.khanacademy.org/e/creating-histograms
Practice creating histograms.
6
Statistics and Probability
Math.CC.6.SP.B.4
Read histograms
https://www.khanacademy.org/e/reading-histograms
Practice reading and interpreting histograms.
6
Statistics and Probability
Math.CC.6.SP.B.5
Median & range puzzlers
https://www.khanacademy.org/e/median-and-range-puzzlers
These conceptual problems really make you think! Getting through this exercise will deepen your understanding of median, range, and data sets in general.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interquartile range (IQR)
https://www.khanacademy.org/e/calculating-the-interquartile-range--iqr-
Practice finding the interquartile range (IQR) of a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading dot plots & frequency tables
https://www.khanacademy.org/e/analyzing-with-dot-plots
Practice reading basic dot plots and frequency tables.
6
Statistics and Probability
Math.CC.6.SP.B.5
Comparing data displays
https://www.khanacademy.org/e/comparing-data-displays
Practice interpreting and comparing dot plots, histograms, and box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Effects of shifting, adding, & removing a data point
https://www.khanacademy.org/e/effects-of-shifting-adding-removing-data-point
Practice figuring out how the mean and median are affected when a data point is added to, taken from, or shifted within a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Missing value given the mean
https://www.khanacademy.org/e/find-a-missing-value-given-the-mean
Practice solving some more challenging problems where you are given the mean and asked to find a missing piece of data from the original data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Median & range puzzlers
https://www.khanacademy.org/e/median-and-range-puzzlers
These conceptual problems really make you think! Getting through this exercise will deepen your understanding of median, range, and data sets in general.
6
Statistics and Probability
Math.CC.6.SP.B.5
Data set warm-up
https://www.khanacademy.org/e/intro-to-simple-data
Begin your journey into the world of statistics with some warm-up questions about data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median: data displays
https://www.khanacademy.org/e/calculating-the-median-from-data-displays
Practice computing the median of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Data set warm-up
https://www.khanacademy.org/e/intro-to-simple-data
Begin your journey into the world of statistics with some warm-up questions about data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Missing value given the mean
https://www.khanacademy.org/e/find-a-missing-value-given-the-mean
Practice solving some more challenging problems where you are given the mean and asked to find a missing piece of data from the original data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Effects of shifting, adding, & removing a data point
https://www.khanacademy.org/e/effects-of-shifting-adding-removing-data-point
Practice figuring out how the mean and median are affected when a data point is added to, taken from, or shifted within a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Comparing data displays
https://www.khanacademy.org/e/comparing-data-displays
Practice interpreting and comparing dot plots, histograms, and box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading dot plots & frequency tables
https://www.khanacademy.org/e/analyzing-with-dot-plots
Practice reading basic dot plots and frequency tables.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interquartile range (IQR)
https://www.khanacademy.org/e/calculating-the-interquartile-range--iqr-
Practice finding the interquartile range (IQR) of a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Median & range puzzlers
https://www.khanacademy.org/e/median-and-range-puzzlers
These conceptual problems really make you think! Getting through this exercise will deepen your understanding of median, range, and data sets in general.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean
https://www.khanacademy.org/e/calculating-the-mean
Practice calculating the mean (average) of a data set. The mean gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Read histograms
https://www.khanacademy.org/e/reading-histograms
Practice reading and interpreting histograms.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median
https://www.khanacademy.org/e/calculating-the-median
Practice finding the median of a data set. Like the mean, the median gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interpreting quartiles
https://www.khanacademy.org/e/interpreting-quartiles-on-box-plots
Practice understanding the meaning of quartiles of data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean: data displays
https://www.khanacademy.org/e/calculating-the-mean-from-various-data-displays
Practice computing the mean of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading box plots
https://www.khanacademy.org/e/analyzing-data-with-box-plots
Practice reading information presented in box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interpreting quartiles
https://www.khanacademy.org/e/interpreting-quartiles-on-box-plots
Practice understanding the meaning of quartiles of data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Data set warm-up
https://www.khanacademy.org/e/intro-to-simple-data
Begin your journey into the world of statistics with some warm-up questions about data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Missing value given the mean
https://www.khanacademy.org/e/find-a-missing-value-given-the-mean
Practice solving some more challenging problems where you are given the mean and asked to find a missing piece of data from the original data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Effects of shifting, adding, & removing a data point
https://www.khanacademy.org/e/effects-of-shifting-adding-removing-data-point
Practice figuring out how the mean and median are affected when a data point is added to, taken from, or shifted within a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Comparing data displays
https://www.khanacademy.org/e/comparing-data-displays
Practice interpreting and comparing dot plots, histograms, and box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading dot plots & frequency tables
https://www.khanacademy.org/e/analyzing-with-dot-plots
Practice reading basic dot plots and frequency tables.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interquartile range (IQR)
https://www.khanacademy.org/e/calculating-the-interquartile-range--iqr-
Practice finding the interquartile range (IQR) of a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Comparing data displays
https://www.khanacademy.org/e/comparing-data-displays
Practice interpreting and comparing dot plots, histograms, and box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Read histograms
https://www.khanacademy.org/e/reading-histograms
Practice reading and interpreting histograms.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median
https://www.khanacademy.org/e/calculating-the-median
Practice finding the median of a data set. Like the mean, the median gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median: data displays
https://www.khanacademy.org/e/calculating-the-median-from-data-displays
Practice computing the median of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean: data displays
https://www.khanacademy.org/e/calculating-the-mean-from-various-data-displays
Practice computing the mean of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading box plots
https://www.khanacademy.org/e/analyzing-data-with-box-plots
Practice reading information presented in box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interpreting quartiles
https://www.khanacademy.org/e/interpreting-quartiles-on-box-plots
Practice understanding the meaning of quartiles of data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Data set warm-up
https://www.khanacademy.org/e/intro-to-simple-data
Begin your journey into the world of statistics with some warm-up questions about data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Missing value given the mean
https://www.khanacademy.org/e/find-a-missing-value-given-the-mean
Practice solving some more challenging problems where you are given the mean and asked to find a missing piece of data from the original data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Effects of shifting, adding, & removing a data point
https://www.khanacademy.org/e/effects-of-shifting-adding-removing-data-point
Practice figuring out how the mean and median are affected when a data point is added to, taken from, or shifted within a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean
https://www.khanacademy.org/e/calculating-the-mean
Practice calculating the mean (average) of a data set. The mean gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading dot plots & frequency tables
https://www.khanacademy.org/e/analyzing-with-dot-plots
Practice reading basic dot plots and frequency tables.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interquartile range (IQR)
https://www.khanacademy.org/e/calculating-the-interquartile-range--iqr-
Practice finding the interquartile range (IQR) of a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Median & range puzzlers
https://www.khanacademy.org/e/median-and-range-puzzlers
These conceptual problems really make you think! Getting through this exercise will deepen your understanding of median, range, and data sets in general.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean
https://www.khanacademy.org/e/calculating-the-mean
Practice calculating the mean (average) of a data set. The mean gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Read histograms
https://www.khanacademy.org/e/reading-histograms
Practice reading and interpreting histograms.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median
https://www.khanacademy.org/e/calculating-the-median
Practice finding the median of a data set. Like the mean, the median gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median: data displays
https://www.khanacademy.org/e/calculating-the-median-from-data-displays
Practice computing the median of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean: data displays
https://www.khanacademy.org/e/calculating-the-mean-from-various-data-displays
Practice computing the mean of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading box plots
https://www.khanacademy.org/e/analyzing-data-with-box-plots
Practice reading information presented in box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean: data displays
https://www.khanacademy.org/e/calculating-the-mean-from-various-data-displays
Practice computing the mean of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interpreting quartiles
https://www.khanacademy.org/e/interpreting-quartiles-on-box-plots
Practice understanding the meaning of quartiles of data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Median & range puzzlers
https://www.khanacademy.org/e/median-and-range-puzzlers
These conceptual problems really make you think! Getting through this exercise will deepen your understanding of median, range, and data sets in general.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interquartile range (IQR)
https://www.khanacademy.org/e/calculating-the-interquartile-range--iqr-
Practice finding the interquartile range (IQR) of a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading dot plots & frequency tables
https://www.khanacademy.org/e/analyzing-with-dot-plots
Practice reading basic dot plots and frequency tables.
6
Statistics and Probability
Math.CC.6.SP.B.5
Comparing data displays
https://www.khanacademy.org/e/comparing-data-displays
Practice interpreting and comparing dot plots, histograms, and box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Effects of shifting, adding, & removing a data point
https://www.khanacademy.org/e/effects-of-shifting-adding-removing-data-point
Practice figuring out how the mean and median are affected when a data point is added to, taken from, or shifted within a data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Missing value given the mean
https://www.khanacademy.org/e/find-a-missing-value-given-the-mean
Practice solving some more challenging problems where you are given the mean and asked to find a missing piece of data from the original data set.
6
Statistics and Probability
Math.CC.6.SP.B.5
Data set warm-up
https://www.khanacademy.org/e/intro-to-simple-data
Begin your journey into the world of statistics with some warm-up questions about data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Interpreting quartiles
https://www.khanacademy.org/e/interpreting-quartiles-on-box-plots
Practice understanding the meaning of quartiles of data sets.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading box plots
https://www.khanacademy.org/e/analyzing-data-with-box-plots
Practice reading information presented in box plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median: data displays
https://www.khanacademy.org/e/calculating-the-median-from-data-displays
Practice computing the median of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median
https://www.khanacademy.org/e/calculating-the-median
Practice finding the median of a data set. Like the mean, the median gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Read histograms
https://www.khanacademy.org/e/reading-histograms
Practice reading and interpreting histograms.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean
https://www.khanacademy.org/e/calculating-the-mean
Practice calculating the mean (average) of a data set. The mean gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean
https://www.khanacademy.org/e/calculating-the-mean
Practice calculating the mean (average) of a data set. The mean gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Read histograms
https://www.khanacademy.org/e/reading-histograms
Practice reading and interpreting histograms.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median
https://www.khanacademy.org/e/calculating-the-median
Practice finding the median of a data set. Like the mean, the median gives us a sense of the middle, or center, of the data.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the median: data displays
https://www.khanacademy.org/e/calculating-the-median-from-data-displays
Practice computing the median of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Calculating the mean: data displays
https://www.khanacademy.org/e/calculating-the-mean-from-various-data-displays
Practice computing the mean of data sets presented in a variety of formats, such as frequency tables and dot plots.
6
Statistics and Probability
Math.CC.6.SP.B.5
Reading box plots
https://www.khanacademy.org/e/analyzing-data-with-box-plots
Practice reading information presented in box plots.
7
Expressions and Equations
Math.CC.7.EE.A.1
Combining like terms with rational coefficients
https://www.khanacademy.org/e/manipulating-linear-expressions-with-rational-coefficients
Practice combining like terms for expressions that have rational coefficients. This requires adding and subtracting fractions.
7
Expressions and Equations
Math.CC.7.EE.A.1
Combining like terms with negative coefficients & distribution
https://www.khanacademy.org/e/combining_like_terms_2
Practice combining like terms using the distributive property. These problems involve adding and subtracting negative numbers.
7
Expressions and Equations
Math.CC.7.EE.A.1
Combining like terms with negative coefficients
https://www.khanacademy.org/e/combining_like_terms_1
Simplify algebraic expressions by combining like terms. Coefficients on some terms are negative.
7
Expressions and Equations
Math.CC.7.EE.A.1
Equivalent expressions: negative numbers & distribution
https://www.khanacademy.org/e/equiv-expressions-w-neg-and-dist
Practice figuring out which expressions are equivalent by applying your knowledge of negative numbers and the distributive property.
7
Expressions and Equations
Math.CC.7.EE.A.1
Distributive property with variables (negative numbers)
https://www.khanacademy.org/e/factoring_linear_binomials
Factor and expand expressions like -3x-9 by applying the distributive property. Expressions include variables and negative numbers.
7
Expressions and Equations
Math.CC.7.EE.A.2
Interpreting linear expressions
https://www.khanacademy.org/e/interpreting-expressions
Practice interpreting linear expressions
7
Expressions and Equations
Math.CC.7.EE.B.3
Rational number word problems
https://www.khanacademy.org/e/multistep-equations-without-variables
Practice solving multi-step word problems. The numbers in these problems may be fractions, decimals, and percents.
7
Expressions and Equations
Math.CC.7.EE.B.3
Rewriting decimals as fractions challenge
https://www.khanacademy.org/e/converting_decimals_to_fractions_2
Practice rewriting decimals as fractions. These problems use decimals with up to four decimal places.
7
Expressions and Equations
Math.CC.7.EE.B.3
Adding & subtracting rational numbers
https://www.khanacademy.org/e/adding_and_subtracting_rational_numbers
Practice adding and subtracting negative fractions, decimals, and percents.
7
Expressions and Equations
Math.CC.7.EE.B.4
Find the mistake: two-step equations
https://www.khanacademy.org/e/find-the-mistake-two-step-equations
Practice spotting the mistake in someone else's work as they attempt to solve two-step equations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations word problems
https://www.khanacademy.org/e/linear-equation-world-problems-2
Practice writing equations to model and solve real-world situations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step inequalities
https://www.khanacademy.org/e/solving-2-step-inequalities
Solve inequalities that take two steps to solve. For example, solve 3x + 2 > 5.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step inequality word problems
https://www.khanacademy.org/e/interpretting-solving-linear-inequalities
Practice constructing, interpreting, and solving linear inequalities that model real-world situations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations with decimals and fractions
https://www.khanacademy.org/e/two-step-equations-with-decimals-and-fractions
Practice solving equations that take two steps to solve. These problems involve arithmetic with fractions and decimals.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations
https://www.khanacademy.org/e/linear_equations_2
Practice solving equations that take two steps to solve. For example, solve  -16 = x/4 + 2.
7
Expressions and Equations
Math.CC.7.EE.B.4
One-step inequalities
https://www.khanacademy.org/e/one_step_inequalities
Practice solving inequalities in one step.
7
Expressions and Equations
Math.CC.7.EE.B.4
Find the mistake: two-step equations
https://www.khanacademy.org/e/find-the-mistake-two-step-equations
Practice spotting the mistake in someone else's work as they attempt to solve two-step equations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations word problems
https://www.khanacademy.org/e/linear-equation-world-problems-2
Practice writing equations to model and solve real-world situations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step inequalities
https://www.khanacademy.org/e/solving-2-step-inequalities
Solve inequalities that take two steps to solve. For example, solve 3x + 2 > 5.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step inequality word problems
https://www.khanacademy.org/e/interpretting-solving-linear-inequalities
Practice constructing, interpreting, and solving linear inequalities that model real-world situations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations with decimals and fractions
https://www.khanacademy.org/e/two-step-equations-with-decimals-and-fractions
Practice solving equations that take two steps to solve. These problems involve arithmetic with fractions and decimals.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations
https://www.khanacademy.org/e/linear_equations_2
Practice solving equations that take two steps to solve. For example, solve  -16 = x/4 + 2.
7
Expressions and Equations
Math.CC.7.EE.B.4
One-step inequalities
https://www.khanacademy.org/e/one_step_inequalities
Practice solving inequalities in one step.
7
Expressions and Equations
Math.CC.7.EE.B.4
Find the mistake: two-step equations
https://www.khanacademy.org/e/find-the-mistake-two-step-equations
Practice spotting the mistake in someone else's work as they attempt to solve two-step equations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations word problems
https://www.khanacademy.org/e/linear-equation-world-problems-2
Practice writing equations to model and solve real-world situations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step inequalities
https://www.khanacademy.org/e/solving-2-step-inequalities
Solve inequalities that take two steps to solve. For example, solve 3x + 2 > 5.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step inequality word problems
https://www.khanacademy.org/e/interpretting-solving-linear-inequalities
Practice constructing, interpreting, and solving linear inequalities that model real-world situations.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations with decimals and fractions
https://www.khanacademy.org/e/two-step-equations-with-decimals-and-fractions
Practice solving equations that take two steps to solve. These problems involve arithmetic with fractions and decimals.
7
Expressions and Equations
Math.CC.7.EE.B.4
Two-step equations
https://www.khanacademy.org/e/linear_equations_2
Practice solving equations that take two steps to solve. For example, solve  -16 = x/4 + 2.
7
Expressions and Equations
Math.CC.7.EE.B.4
One-step inequalities
https://www.khanacademy.org/e/one_step_inequalities
Practice solving inequalities in one step.
7
Geometry
Math.CC.7.G.A.1
Corresponding sides and points
https://www.khanacademy.org/e/corresponding-sides-and-points-in-scale-drawings
Identify corresponding sides and points in scale copies of figures.
7
Geometry
Math.CC.7.G.A.1
Explore scale copies
https://www.khanacademy.org/e/explore-scale-copies
Visually identify scaled copies of a figure.
7
Geometry
Math.CC.7.G.A.1
Relate scale drawings to area
https://www.khanacademy.org/e/relate-scale-drawings-to-area
Understand how creating a scale copy of a figure affects the area of the figure.
7
Geometry
Math.CC.7.G.A.1
Constructing scale drawings
https://www.khanacademy.org/e/constructing-scale-drawings
An urban planner needs your help in creating a scale drawing. Let's use our knowledge about scale factor, length, and area to assist.
7
Geometry
Math.CC.7.G.A.1
Identify scale copies
https://www.khanacademy.org/e/identify-scale-copies
Determine if one polygon is a scale copy of another.
7
Geometry
Math.CC.7.G.A.1
Scale factor in scale drawings
https://www.khanacademy.org/e/scale-factor-in-scale-drawings
Identify scale factor in scale copies of figures. Interpret a scale factor to determine if a scale copy will be larger or smaller than the original figure.
7
Geometry
Math.CC.7.G.A.1
Scale drawings
https://www.khanacademy.org/e/interpreting-scale-drawings
Find a missing side length in a scale drawing when given either a set of corresponding side lengths or one side length and the scale factor.
7
Geometry
Math.CC.7.G.A.2
Ordering triangle sides and angles
https://www.khanacademy.org/e/triangle-angles-and-opposite-sides
Apply the property that the longest side of a triangle is opposite the largest angle to solve a few problems.
7
Geometry
Math.CC.7.G.A.2
Triangle side length rules
https://www.khanacademy.org/e/triangle_inequality_theorem
Given the lengths of two sides of a triangle, what can we say about the third side?
7
Geometry
Math.CC.7.G.A.2
Constructing triangles
https://www.khanacademy.org/e/constructing-triangles
Practice constructing triangles.
7
Geometry
Math.CC.7.G.A.3
Cross sections of 3D objects (basic)
https://www.khanacademy.org/e/slicing-3d-figures
Match 3D objects with their 2D cross-sections.
7
Geometry
Math.CC.7.G.B.4
Circumference of a circle
https://www.khanacademy.org/e/find-the-radius-or-diameter-of-a-circle-from-the-circumference-or-area
Find the circumference of a circle when given either the radius or diameter. Â Find the radius or diameter of a circle when given the circumference. Â
7
Geometry
Math.CC.7.G.B.4
Radius and diameter
https://www.khanacademy.org/e/radius_diameter_and_circumference
Practice finding the radius and diameter of a circle using both vocabulary and visuals.
7
Geometry
Math.CC.7.G.B.4
Area and circumference of parts of circles
https://www.khanacademy.org/e/area-and-circumference-of-parts-of-circles
Practice finding the area or circumference of part of a circle.
7
Geometry
Math.CC.7.G.B.4
Area and circumference of circles challenge
https://www.khanacademy.org/e/area-and-circumference-of-circles
Practice interesting area and circumference problems.
7
Geometry
Math.CC.7.G.B.4
Area of a circle
https://www.khanacademy.org/e/area_of_a_circle
Find the area of a circle given its radius, diameter, or circumference.
7
Geometry
Math.CC.7.G.B.5
Finding missing angles
https://www.khanacademy.org/e/find-missing-angles
Practice using knowledge of vertical, complementary, and supplementary angles to find a missing angle.
7
Geometry
Math.CC.7.G.B.5
Complementary and supplementary angles (visual)
https://www.khanacademy.org/e/complementary_and_supplementary_angles
Use your knowledge about complementary and supplementary angles to find missing angles.
7
Geometry
Math.CC.7.G.B.5
Identifying supplementary, complementary, and vertical angles
https://www.khanacademy.org/e/identifying-supplementary-complementary-vertical
Practice telling whether two angles are supplementary, complementary, or vertical.
7
Geometry
Math.CC.7.G.B.5
Unknown angle problems (with algebra)
https://www.khanacademy.org/e/solving-for-unknown-angles
Practice setting up algebraic equations to solve unknown angle problems.
7
Geometry
Math.CC.7.G.B.5
Create equations to solve for missing angles
https://www.khanacademy.org/e/create-equations-to-solve-for-missing-angles
Use understanding of vertical, complementary, and supplementary angles to set up an appropriate equation to solve for a missing angle measure.
7
Geometry
Math.CC.7.G.B.5
Complementary and supplementary angles (no visual)
https://www.khanacademy.org/e/complementary-and-supplementary-angles--no-visual-
Use complementary and supplementary angles to solve for a missing angle measure.
7
Geometry
Math.CC.7.G.B.5
Vertical angles
https://www.khanacademy.org/e/vertical_angles
Use your knowledge about vertical angles to find missing angle measures.
7
Geometry
Math.CC.7.G.B.6
Volume and surface area word problems
https://www.khanacademy.org/e/volume-and-surface-area-word-problems
Solve word problems involving volume and surface area involving 3D shapes, including composite figures.
7
Geometry
Math.CC.7.G.B.6
Shaded areas
https://www.khanacademy.org/e/shaded_areas
Find the areas of shaded regions which are combinations of squares, triangles, and circles.Â
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting rational numbers
https://www.khanacademy.org/e/adding_and_subtracting_rational_numbers
Practice adding and subtracting negative fractions, decimals, and percents.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers on the number line
https://www.khanacademy.org/e/adding-negative-numbers-on-the-number-line
Practice matching number line diagrams to addition expressions involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.1
Interpret negative number addition and subtraction expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-on-the-number-line
Practice working through addition and subtraction problems using the number line.
7
The Number System
Math.CC.7.NS.A.1
Ordering negative number expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-with-negative-numbers
Practice solving challenging negative number addition and subtraction problems. Number line models, variables, and absolute value come together to push your knowledge of negative numbers even deeper (maybe even below zero!).
7
The Number System
Math.CC.7.NS.A.1
Understand subtraction as adding the opposite
https://www.khanacademy.org/e/understand-subtraction-as-adding-the-opposite
Practice rewriting subtraction problems as equivalent addition problems. For example, 2-9=2+(-9).
7
The Number System
Math.CC.7.NS.A.1
Negative number addition and subtraction: word problems
https://www.khanacademy.org/e/adding-negative-numbers-word-problems
Practice solving word problems with negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Signs of sums
https://www.khanacademy.org/e/signs-of-sums
Practice determining whether the sum of two numbers is positive, negative, or zero.Â
7
The Number System
Math.CC.7.NS.A.1
Interpreting negative number statements
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--interpretation-problems
Practice matching addition and subtraction equations to real-world scenarios.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-2
Practice solving addition and subtraction problems with integers (positive and negative numbers).
7
The Number System
Math.CC.7.NS.A.1
Number equations & number lines
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--equations-and-number-lines
Practice writing addition and subtraction equations to match number line diagrams.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance
https://www.khanacademy.org/e/absolute-value-to-find-distance
Practice taking the absolute value of the difference of two numbers to find the distance between those numbers. Apply this principle to solve word problems.
7
The Number System
Math.CC.7.NS.A.1
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.1
Substitution with negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-with-substitution
Practice plugging in values to evaluate negative number addition and subtraction expressions.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance challenge
https://www.khanacademy.org/e/constructing-and-interpreting-absolute-value
Solve conceptually challenging absolute value problems. In order to succeed at these problems, you'll need to remember that the absolute value of the difference of two numbers is the distance between those numbers.
7
The Number System
Math.CC.7.NS.A.1
Missing numbers on the number line
https://www.khanacademy.org/e/number_line_3
Practice more challenging problems where you identify positive and negative integers on a number line that doesn't have zero labeled.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative fractions
https://www.khanacademy.org/e/adding_and_subtracting_fractions
Practice adding and subtracting positive and negative fractions.
7
The Number System
Math.CC.7.NS.A.1
Equivalent expressions with negative numbers
https://www.khanacademy.org/e/negative-number-addition-and-subtraction-equivalent-expressions
Practice identifying equivalent expressions involving the addition and subtraction of negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Subtracting negative numbers
https://www.khanacademy.org/e/adding_and_subtracting_negative_numbers
Practice subtracting positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers
https://www.khanacademy.org/e/adding_negative_numbers
Practice adding positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers on the number line
https://www.khanacademy.org/e/adding-negative-numbers-on-the-number-line
Practice matching number line diagrams to addition expressions involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Addition & subtraction: find the missing value
https://www.khanacademy.org/e/integer-addition-and-subtraction
Practice finding the missing value in an addition or subtraction equation involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Addition & subtraction: find the missing value
https://www.khanacademy.org/e/integer-addition-and-subtraction
Practice finding the missing value in an addition or subtraction equation involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-2
Practice solving addition and subtraction problems with integers (positive and negative numbers).
7
The Number System
Math.CC.7.NS.A.1
Interpreting negative number statements
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--interpretation-problems
Practice matching addition and subtraction equations to real-world scenarios.
7
The Number System
Math.CC.7.NS.A.1
Signs of sums
https://www.khanacademy.org/e/signs-of-sums
Practice determining whether the sum of two numbers is positive, negative, or zero.Â
7
The Number System
Math.CC.7.NS.A.1
Negative number addition and subtraction: word problems
https://www.khanacademy.org/e/adding-negative-numbers-word-problems
Practice solving word problems with negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Understand subtraction as adding the opposite
https://www.khanacademy.org/e/understand-subtraction-as-adding-the-opposite
Practice rewriting subtraction problems as equivalent addition problems. For example, 2-9=2+(-9).
7
The Number System
Math.CC.7.NS.A.1
Ordering negative number expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-with-negative-numbers
Practice solving challenging negative number addition and subtraction problems. Number line models, variables, and absolute value come together to push your knowledge of negative numbers even deeper (maybe even below zero!).
7
The Number System
Math.CC.7.NS.A.1
Interpret negative number addition and subtraction expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-on-the-number-line
Practice working through addition and subtraction problems using the number line.
7
The Number System
Math.CC.7.NS.A.1
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting rational numbers
https://www.khanacademy.org/e/adding_and_subtracting_rational_numbers
Practice adding and subtracting negative fractions, decimals, and percents.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers on the number line
https://www.khanacademy.org/e/adding-negative-numbers-on-the-number-line
Practice matching number line diagrams to addition expressions involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Addition & subtraction: find the missing value
https://www.khanacademy.org/e/integer-addition-and-subtraction
Practice finding the missing value in an addition or subtraction equation involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance
https://www.khanacademy.org/e/absolute-value-to-find-distance
Practice taking the absolute value of the difference of two numbers to find the distance between those numbers. Apply this principle to solve word problems.
7
The Number System
Math.CC.7.NS.A.1
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.1
Substitution with negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-with-substitution
Practice plugging in values to evaluate negative number addition and subtraction expressions.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance challenge
https://www.khanacademy.org/e/constructing-and-interpreting-absolute-value
Solve conceptually challenging absolute value problems. In order to succeed at these problems, you'll need to remember that the absolute value of the difference of two numbers is the distance between those numbers.
7
The Number System
Math.CC.7.NS.A.1
Missing numbers on the number line
https://www.khanacademy.org/e/number_line_3
Practice more challenging problems where you identify positive and negative integers on a number line that doesn't have zero labeled.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative fractions
https://www.khanacademy.org/e/adding_and_subtracting_fractions
Practice adding and subtracting positive and negative fractions.
7
The Number System
Math.CC.7.NS.A.1
Equivalent expressions with negative numbers
https://www.khanacademy.org/e/negative-number-addition-and-subtraction-equivalent-expressions
Practice identifying equivalent expressions involving the addition and subtraction of negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Subtracting negative numbers
https://www.khanacademy.org/e/adding_and_subtracting_negative_numbers
Practice subtracting positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers
https://www.khanacademy.org/e/adding_negative_numbers
Practice adding positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Number equations & number lines
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--equations-and-number-lines
Practice writing addition and subtraction equations to match number line diagrams.
7
The Number System
Math.CC.7.NS.A.1
Substitution with negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-with-substitution
Practice plugging in values to evaluate negative number addition and subtraction expressions.
7
The Number System
Math.CC.7.NS.A.1
Interpret negative number addition and subtraction expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-on-the-number-line
Practice working through addition and subtraction problems using the number line.
7
The Number System
Math.CC.7.NS.A.1
Ordering negative number expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-with-negative-numbers
Practice solving challenging negative number addition and subtraction problems. Number line models, variables, and absolute value come together to push your knowledge of negative numbers even deeper (maybe even below zero!).
7
The Number System
Math.CC.7.NS.A.1
Understand subtraction as adding the opposite
https://www.khanacademy.org/e/understand-subtraction-as-adding-the-opposite
Practice rewriting subtraction problems as equivalent addition problems. For example, 2-9=2+(-9).
7
The Number System
Math.CC.7.NS.A.1
Negative number addition and subtraction: word problems
https://www.khanacademy.org/e/adding-negative-numbers-word-problems
Practice solving word problems with negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Signs of sums
https://www.khanacademy.org/e/signs-of-sums
Practice determining whether the sum of two numbers is positive, negative, or zero.Â
7
The Number System
Math.CC.7.NS.A.1
Interpreting negative number statements
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--interpretation-problems
Practice matching addition and subtraction equations to real-world scenarios.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-2
Practice solving addition and subtraction problems with integers (positive and negative numbers).
7
The Number System
Math.CC.7.NS.A.1
Number equations & number lines
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--equations-and-number-lines
Practice writing addition and subtraction equations to match number line diagrams.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance
https://www.khanacademy.org/e/absolute-value-to-find-distance
Practice taking the absolute value of the difference of two numbers to find the distance between those numbers. Apply this principle to solve word problems.
7
The Number System
Math.CC.7.NS.A.1
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.1
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance challenge
https://www.khanacademy.org/e/constructing-and-interpreting-absolute-value
Solve conceptually challenging absolute value problems. In order to succeed at these problems, you'll need to remember that the absolute value of the difference of two numbers is the distance between those numbers.
7
The Number System
Math.CC.7.NS.A.1
Missing numbers on the number line
https://www.khanacademy.org/e/number_line_3
Practice more challenging problems where you identify positive and negative integers on a number line that doesn't have zero labeled.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative fractions
https://www.khanacademy.org/e/adding_and_subtracting_fractions
Practice adding and subtracting positive and negative fractions.
7
The Number System
Math.CC.7.NS.A.1
Equivalent expressions with negative numbers
https://www.khanacademy.org/e/negative-number-addition-and-subtraction-equivalent-expressions
Practice identifying equivalent expressions involving the addition and subtraction of negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Subtracting negative numbers
https://www.khanacademy.org/e/adding_and_subtracting_negative_numbers
Practice subtracting positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers
https://www.khanacademy.org/e/adding_negative_numbers
Practice adding positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers on the number line
https://www.khanacademy.org/e/adding-negative-numbers-on-the-number-line
Practice matching number line diagrams to addition expressions involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Addition & subtraction: find the missing value
https://www.khanacademy.org/e/integer-addition-and-subtraction
Practice finding the missing value in an addition or subtraction equation involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting rational numbers
https://www.khanacademy.org/e/adding_and_subtracting_rational_numbers
Practice adding and subtracting negative fractions, decimals, and percents.
7
The Number System
Math.CC.7.NS.A.1
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.1
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.1
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.1
Interpret negative number addition and subtraction expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-on-the-number-line
Practice working through addition and subtraction problems using the number line.
7
The Number System
Math.CC.7.NS.A.1
Ordering negative number expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-with-negative-numbers
Practice solving challenging negative number addition and subtraction problems. Number line models, variables, and absolute value come together to push your knowledge of negative numbers even deeper (maybe even below zero!).
7
The Number System
Math.CC.7.NS.A.1
Understand subtraction as adding the opposite
https://www.khanacademy.org/e/understand-subtraction-as-adding-the-opposite
Practice rewriting subtraction problems as equivalent addition problems. For example, 2-9=2+(-9).
7
The Number System
Math.CC.7.NS.A.1
Negative number addition and subtraction: word problems
https://www.khanacademy.org/e/adding-negative-numbers-word-problems
Practice solving word problems with negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Signs of sums
https://www.khanacademy.org/e/signs-of-sums
Practice determining whether the sum of two numbers is positive, negative, or zero.Â
7
The Number System
Math.CC.7.NS.A.1
Interpreting negative number statements
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--interpretation-problems
Practice matching addition and subtraction equations to real-world scenarios.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-2
Practice solving addition and subtraction problems with integers (positive and negative numbers).
7
The Number System
Math.CC.7.NS.A.1
Number equations & number lines
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--equations-and-number-lines
Practice writing addition and subtraction equations to match number line diagrams.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance
https://www.khanacademy.org/e/absolute-value-to-find-distance
Practice taking the absolute value of the difference of two numbers to find the distance between those numbers. Apply this principle to solve word problems.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting rational numbers
https://www.khanacademy.org/e/adding_and_subtracting_rational_numbers
Practice adding and subtracting negative fractions, decimals, and percents.
7
The Number System
Math.CC.7.NS.A.1
Substitution with negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-with-substitution
Practice plugging in values to evaluate negative number addition and subtraction expressions.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance challenge
https://www.khanacademy.org/e/constructing-and-interpreting-absolute-value
Solve conceptually challenging absolute value problems. In order to succeed at these problems, you'll need to remember that the absolute value of the difference of two numbers is the distance between those numbers.
7
The Number System
Math.CC.7.NS.A.1
Missing numbers on the number line
https://www.khanacademy.org/e/number_line_3
Practice more challenging problems where you identify positive and negative integers on a number line that doesn't have zero labeled.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative fractions
https://www.khanacademy.org/e/adding_and_subtracting_fractions
Practice adding and subtracting positive and negative fractions.
7
The Number System
Math.CC.7.NS.A.1
Equivalent expressions with negative numbers
https://www.khanacademy.org/e/negative-number-addition-and-subtraction-equivalent-expressions
Practice identifying equivalent expressions involving the addition and subtraction of negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Subtracting negative numbers
https://www.khanacademy.org/e/adding_and_subtracting_negative_numbers
Practice subtracting positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers
https://www.khanacademy.org/e/adding_negative_numbers
Practice adding positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers on the number line
https://www.khanacademy.org/e/adding-negative-numbers-on-the-number-line
Practice matching number line diagrams to addition expressions involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Addition & subtraction: find the missing value
https://www.khanacademy.org/e/integer-addition-and-subtraction
Practice finding the missing value in an addition or subtraction equation involving negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting rational numbers
https://www.khanacademy.org/e/adding_and_subtracting_rational_numbers
Practice adding and subtracting negative fractions, decimals, and percents.
7
The Number System
Math.CC.7.NS.A.1
Subtracting negative numbers
https://www.khanacademy.org/e/adding_and_subtracting_negative_numbers
Practice subtracting positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Adding negative numbers
https://www.khanacademy.org/e/adding_negative_numbers
Practice adding positive and negative single-digit numbers.
7
The Number System
Math.CC.7.NS.A.1
Interpret negative number addition and subtraction expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-on-the-number-line
Practice working through addition and subtraction problems using the number line.
7
The Number System
Math.CC.7.NS.A.1
Ordering negative number expressions
https://www.khanacademy.org/e/understanding-addition-and-subtraction-with-negative-numbers
Practice solving challenging negative number addition and subtraction problems. Number line models, variables, and absolute value come together to push your knowledge of negative numbers even deeper (maybe even below zero!).
7
The Number System
Math.CC.7.NS.A.1
Understand subtraction as adding the opposite
https://www.khanacademy.org/e/understand-subtraction-as-adding-the-opposite
Practice rewriting subtraction problems as equivalent addition problems. For example, 2-9=2+(-9).
7
The Number System
Math.CC.7.NS.A.1
Negative number addition and subtraction: word problems
https://www.khanacademy.org/e/adding-negative-numbers-word-problems
Practice solving word problems with negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Signs of sums
https://www.khanacademy.org/e/signs-of-sums
Practice determining whether the sum of two numbers is positive, negative, or zero.Â
7
The Number System
Math.CC.7.NS.A.1
Interpreting negative number statements
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--interpretation-problems
Practice matching addition and subtraction equations to real-world scenarios.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-2
Practice solving addition and subtraction problems with integers (positive and negative numbers).
7
The Number System
Math.CC.7.NS.A.1
Equivalent expressions with negative numbers
https://www.khanacademy.org/e/negative-number-addition-and-subtraction-equivalent-expressions
Practice identifying equivalent expressions involving the addition and subtraction of negative numbers.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance challenge
https://www.khanacademy.org/e/constructing-and-interpreting-absolute-value
Solve conceptually challenging absolute value problems. In order to succeed at these problems, you'll need to remember that the absolute value of the difference of two numbers is the distance between those numbers.
7
The Number System
Math.CC.7.NS.A.1
Absolute value to find distance
https://www.khanacademy.org/e/absolute-value-to-find-distance
Practice taking the absolute value of the difference of two numbers to find the distance between those numbers. Apply this principle to solve word problems.
7
The Number System
Math.CC.7.NS.A.1
Substitution with negative numbers
https://www.khanacademy.org/e/integer-addition-and-subtraction-with-substitution
Practice plugging in values to evaluate negative number addition and subtraction expressions.
7
The Number System
Math.CC.7.NS.A.1
Missing numbers on the number line
https://www.khanacademy.org/e/number_line_3
Practice more challenging problems where you identify positive and negative integers on a number line that doesn't have zero labeled.
7
The Number System
Math.CC.7.NS.A.1
Number equations & number lines
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--equations-and-number-lines
Practice writing addition and subtraction equations to match number line diagrams.
7
The Number System
Math.CC.7.NS.A.1
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.1
Adding & subtracting negative fractions
https://www.khanacademy.org/e/adding_and_subtracting_fractions
Practice adding and subtracting positive and negative fractions.
7
The Number System
Math.CC.7.NS.A.2
Equivalent expressions with negative numbers (multiplication and division)
https://www.khanacademy.org/e/properties-of-multiplication-with-negative-numbers
Practice finding equivalent multiplication and division expressions. Numbers in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.2
Negative signs in fractions
https://www.khanacademy.org/e/negative-signs-in-numerators-and-denominators
Practice rewriting fractions with positive and negative denominators.
7
The Number System
Math.CC.7.NS.A.2
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.2
Exponents with negative fractional bases
https://www.khanacademy.org/e/exponents-with-negative-fractional-bases
Practice raising fractions to whole number powers. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Comparing rational numbers
https://www.khanacademy.org/e/comparing-rational-numbers
Practice comparing decimals, percents, fractions, and mixed numbers.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers
https://www.khanacademy.org/e/multiplying_and_dividing_negative_numbers
Practice multiplying and dividing integers.
7
The Number System
Math.CC.7.NS.A.2
Converting fractions to decimals
https://www.khanacademy.org/e/converting_fractions_to_decimals
Practice converting a fraction to a decimal.
7
The Number System
Math.CC.7.NS.A.2
Dividing positive and negative fractions
https://www.khanacademy.org/e/dividing_fractions_2
Practice dividing fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions
https://www.khanacademy.org/e/signs-of-expressions
Practice finding the signs of the answers to multiplication and division problems with positive and negative numbers.
7
The Number System
Math.CC.7.NS.A.2
Simplify complex fractions
https://www.khanacademy.org/e/complex-fractions
Practice simplifying complex fractions.
7
The Number System
Math.CC.7.NS.A.2
Dividing mixed numbers with negatives
https://www.khanacademy.org/e/dividing-mixed-numbers
Practice dividing mixed numbers. Numbers in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Multiplying positive and negative fractions
https://www.khanacademy.org/e/multiplying_fractions
Practice multiplying fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Dividing by zero
https://www.khanacademy.org/e/dividing-integers
Practice identifying when a quotient is undefined because of division by zero.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers word problems
https://www.khanacademy.org/e/negative-number-word-problems-1
Practice matching situations to multiplication and division expressions and equations.
7
The Number System
Math.CC.7.NS.A.2
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions challenge
https://www.khanacademy.org/e/multiply-and-divide-rational-numbers
Practice finding the signs of the answers to complex multiplication and division problems involving exponents.
7
The Number System
Math.CC.7.NS.A.2
Comparing rational numbers
https://www.khanacademy.org/e/comparing-rational-numbers
Practice comparing decimals, percents, fractions, and mixed numbers.
7
The Number System
Math.CC.7.NS.A.2
Dividing by zero
https://www.khanacademy.org/e/dividing-integers
Practice identifying when a quotient is undefined because of division by zero.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions
https://www.khanacademy.org/e/signs-of-expressions
Practice finding the signs of the answers to multiplication and division problems with positive and negative numbers.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers
https://www.khanacademy.org/e/multiplying_and_dividing_negative_numbers
Practice multiplying and dividing integers.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers word problems
https://www.khanacademy.org/e/negative-number-word-problems-1
Practice matching situations to multiplication and division expressions and equations.
7
The Number System
Math.CC.7.NS.A.2
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions challenge
https://www.khanacademy.org/e/multiply-and-divide-rational-numbers
Practice finding the signs of the answers to complex multiplication and division problems involving exponents.
7
The Number System
Math.CC.7.NS.A.2
Comparing rational numbers
https://www.khanacademy.org/e/comparing-rational-numbers
Practice comparing decimals, percents, fractions, and mixed numbers.
7
The Number System
Math.CC.7.NS.A.2
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.2
Exponents with negative fractional bases
https://www.khanacademy.org/e/exponents-with-negative-fractional-bases
Practice raising fractions to whole number powers. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Converting fractions to decimals
https://www.khanacademy.org/e/converting_fractions_to_decimals
Practice converting a fraction to a decimal.
7
The Number System
Math.CC.7.NS.A.2
Dividing positive and negative fractions
https://www.khanacademy.org/e/dividing_fractions_2
Practice dividing fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions challenge
https://www.khanacademy.org/e/multiply-and-divide-rational-numbers
Practice finding the signs of the answers to complex multiplication and division problems involving exponents.
7
The Number System
Math.CC.7.NS.A.2
Equivalent expressions with negative numbers (multiplication and division)
https://www.khanacademy.org/e/properties-of-multiplication-with-negative-numbers
Practice finding equivalent multiplication and division expressions. Numbers in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Negative signs in fractions
https://www.khanacademy.org/e/negative-signs-in-numerators-and-denominators
Practice rewriting fractions with positive and negative denominators.
7
The Number System
Math.CC.7.NS.A.2
Simplify complex fractions
https://www.khanacademy.org/e/complex-fractions
Practice simplifying complex fractions.
7
The Number System
Math.CC.7.NS.A.2
Dividing mixed numbers with negatives
https://www.khanacademy.org/e/dividing-mixed-numbers
Practice dividing mixed numbers. Numbers in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Multiplying positive and negative fractions
https://www.khanacademy.org/e/multiplying_fractions
Practice multiplying fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Dividing by zero
https://www.khanacademy.org/e/dividing-integers
Practice identifying when a quotient is undefined because of division by zero.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers word problems
https://www.khanacademy.org/e/negative-number-word-problems-1
Practice matching situations to multiplication and division expressions and equations.
7
The Number System
Math.CC.7.NS.A.2
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions challenge
https://www.khanacademy.org/e/multiply-and-divide-rational-numbers
Practice finding the signs of the answers to complex multiplication and division problems involving exponents.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions
https://www.khanacademy.org/e/signs-of-expressions
Practice finding the signs of the answers to multiplication and division problems with positive and negative numbers.
7
The Number System
Math.CC.7.NS.A.2
Equivalent expressions with negative numbers (multiplication and division)
https://www.khanacademy.org/e/properties-of-multiplication-with-negative-numbers
Practice finding equivalent multiplication and division expressions. Numbers in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Negative signs in fractions
https://www.khanacademy.org/e/negative-signs-in-numerators-and-denominators
Practice rewriting fractions with positive and negative denominators.
7
The Number System
Math.CC.7.NS.A.2
Simplify complex fractions
https://www.khanacademy.org/e/complex-fractions
Practice simplifying complex fractions.
7
The Number System
Math.CC.7.NS.A.2
Dividing mixed numbers with negatives
https://www.khanacademy.org/e/dividing-mixed-numbers
Practice dividing mixed numbers. Numbers in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Multiplying positive and negative fractions
https://www.khanacademy.org/e/multiplying_fractions
Practice multiplying fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Dividing by zero
https://www.khanacademy.org/e/dividing-integers
Practice identifying when a quotient is undefined because of division by zero.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers word problems
https://www.khanacademy.org/e/negative-number-word-problems-1
Practice matching situations to multiplication and division expressions and equations.
7
The Number System
Math.CC.7.NS.A.2
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Dividing positive and negative fractions
https://www.khanacademy.org/e/dividing_fractions_2
Practice dividing fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Comparing rational numbers
https://www.khanacademy.org/e/comparing-rational-numbers
Practice comparing decimals, percents, fractions, and mixed numbers.
7
The Number System
Math.CC.7.NS.A.2
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.2
Exponents with negative fractional bases
https://www.khanacademy.org/e/exponents-with-negative-fractional-bases
Practice raising fractions to whole number powers. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers
https://www.khanacademy.org/e/multiplying_and_dividing_negative_numbers
Practice multiplying and dividing integers.
7
The Number System
Math.CC.7.NS.A.2
Converting fractions to decimals
https://www.khanacademy.org/e/converting_fractions_to_decimals
Practice converting a fraction to a decimal.
7
The Number System
Math.CC.7.NS.A.2
Dividing positive and negative fractions
https://www.khanacademy.org/e/dividing_fractions_2
Practice dividing fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions
https://www.khanacademy.org/e/signs-of-expressions
Practice finding the signs of the answers to multiplication and division problems with positive and negative numbers.
7
The Number System
Math.CC.7.NS.A.2
Equivalent expressions with negative numbers (multiplication and division)
https://www.khanacademy.org/e/properties-of-multiplication-with-negative-numbers
Practice finding equivalent multiplication and division expressions. Numbers in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Dividing by zero
https://www.khanacademy.org/e/dividing-integers
Practice identifying when a quotient is undefined because of division by zero.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers
https://www.khanacademy.org/e/multiplying_and_dividing_negative_numbers
Practice multiplying and dividing integers.
7
The Number System
Math.CC.7.NS.A.2
Converting fractions to decimals
https://www.khanacademy.org/e/converting_fractions_to_decimals
Practice converting a fraction to a decimal.
7
The Number System
Math.CC.7.NS.A.2
Dividing positive and negative fractions
https://www.khanacademy.org/e/dividing_fractions_2
Practice dividing fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions
https://www.khanacademy.org/e/signs-of-expressions
Practice finding the signs of the answers to multiplication and division problems with positive and negative numbers.
7
The Number System
Math.CC.7.NS.A.2
Equivalent expressions with negative numbers (multiplication and division)
https://www.khanacademy.org/e/properties-of-multiplication-with-negative-numbers
Practice finding equivalent multiplication and division expressions. Numbers in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Negative signs in fractions
https://www.khanacademy.org/e/negative-signs-in-numerators-and-denominators
Practice rewriting fractions with positive and negative denominators.
7
The Number System
Math.CC.7.NS.A.2
Simplify complex fractions
https://www.khanacademy.org/e/complex-fractions
Practice simplifying complex fractions.
7
The Number System
Math.CC.7.NS.A.2
Dividing mixed numbers with negatives
https://www.khanacademy.org/e/dividing-mixed-numbers
Practice dividing mixed numbers. Numbers in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Multiplying positive and negative fractions
https://www.khanacademy.org/e/multiplying_fractions
Practice multiplying fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Exponents with negative fractional bases
https://www.khanacademy.org/e/exponents-with-negative-fractional-bases
Practice raising fractions to whole number powers. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers word problems
https://www.khanacademy.org/e/negative-number-word-problems-1
Practice matching situations to multiplication and division expressions and equations.
7
The Number System
Math.CC.7.NS.A.2
Order of operations with negative numbers
https://www.khanacademy.org/e/order_of_operations
Practice evaluating expressions using the order of operations. Numbers used in these problems may be negative.
7
The Number System
Math.CC.7.NS.A.2
Signs of expressions challenge
https://www.khanacademy.org/e/multiply-and-divide-rational-numbers
Practice finding the signs of the answers to complex multiplication and division problems involving exponents.
7
The Number System
Math.CC.7.NS.A.2
Comparing rational numbers
https://www.khanacademy.org/e/comparing-rational-numbers
Practice comparing decimals, percents, fractions, and mixed numbers.
7
The Number System
Math.CC.7.NS.A.2
Exponents with integer bases
https://www.khanacademy.org/e/exponents_1.5
Practice raising positive and negative numbers (integers only) to whole number powers. Watch out for mischievous negative signs that aren't really part of the base!
7
The Number System
Math.CC.7.NS.A.2
Exponents with negative fractional bases
https://www.khanacademy.org/e/exponents-with-negative-fractional-bases
Practice raising fractions to whole number powers. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Multiplying & dividing negative numbers
https://www.khanacademy.org/e/multiplying_and_dividing_negative_numbers
Practice multiplying and dividing integers.
7
The Number System
Math.CC.7.NS.A.2
Converting fractions to decimals
https://www.khanacademy.org/e/converting_fractions_to_decimals
Practice converting a fraction to a decimal.
7
The Number System
Math.CC.7.NS.A.2
Dividing mixed numbers with negatives
https://www.khanacademy.org/e/dividing-mixed-numbers
Practice dividing mixed numbers. Numbers in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.2
Simplify complex fractions
https://www.khanacademy.org/e/complex-fractions
Practice simplifying complex fractions.
7
The Number System
Math.CC.7.NS.A.2
Negative signs in fractions
https://www.khanacademy.org/e/negative-signs-in-numerators-and-denominators
Practice rewriting fractions with positive and negative denominators.
7
The Number System
Math.CC.7.NS.A.2
Multiplying positive and negative fractions
https://www.khanacademy.org/e/multiplying_fractions
Practice multiplying fractions. Fractions in these problems may be positive or negative.
7
The Number System
Math.CC.7.NS.A.3
Interpreting negative number statements
https://www.khanacademy.org/e/negative-number-addition-and-subtraction--interpretation-problems
Practice matching addition and subtraction equations to real-world scenarios.
7
The Number System
Math.CC.7.NS.A.3
Simplify complex fractions
https://www.khanacademy.org/e/complex-fractions
Practice simplifying complex fractions.
7
The Number System
Math.CC.7.NS.A.3
Negative number addition and subtraction: word problems
https://www.khanacademy.org/e/adding-negative-numbers-word-problems
Practice solving word problems with negative numbers.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.1
Rates with fractions
https://www.khanacademy.org/e/rate_problems_1
Practice computing rates associated with ratios of fractions or decimals.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships
Practice telling whether or not the relationship between two quantities is proportional by reasoning about equivalent ratios.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportional equations
https://www.khanacademy.org/e/writing-proportional-equations
Practice writing equations to describe proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpret constants of proportionality
https://www.khanacademy.org/e/interpret-constants-of-proportionality-
Interpret the meaning of constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from graphs
https://www.khanacademy.org/e/constant-of-proportionality-from-graphs
Practice identifying the constant of proportionality from graphs.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportional equations
https://www.khanacademy.org/e/writing-proportional-equations
Practice writing equations to describe proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpreting graphs of proportional relationships
https://www.khanacademy.org/e/interpreting-graphs-of-proportional-relationships
Practice reading and analyzing graphs of proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Solving proportions
https://www.khanacademy.org/e/proportions_1
Practice solving basic proportions.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from tables
https://www.khanacademy.org/e/constant-of-proportionality-from-tables
Practice identifying the constant of proportionality from tables.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportions
https://www.khanacademy.org/e/writing_proportions
Practice writing proportions to describe real-world situations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from equations
https://www.khanacademy.org/e/constant-of-proportionality-from-equations
Practice identifying the constant of proportionality from equations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Compare constants of proportionality
https://www.khanacademy.org/e/compare-constants-of-proportionality
Identify and compare constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships
Practice telling whether or not the relationship between two quantities is proportional by reasoning about equivalent ratios.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpret constants of proportionality
https://www.khanacademy.org/e/interpret-constants-of-proportionality-
Interpret the meaning of constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Identify proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships-2
Practice telling whether or not the relationship between two quantities is proportional by looking at a table or graph of the relationship.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from graphs
https://www.khanacademy.org/e/constant-of-proportionality-from-graphs
Practice identifying the constant of proportionality from graphs.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Identify proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships-2
Practice telling whether or not the relationship between two quantities is proportional by looking at a table or graph of the relationship.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Compare constants of proportionality
https://www.khanacademy.org/e/compare-constants-of-proportionality
Identify and compare constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from equations
https://www.khanacademy.org/e/constant-of-proportionality-from-equations
Practice identifying the constant of proportionality from equations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportions
https://www.khanacademy.org/e/writing_proportions
Practice writing proportions to describe real-world situations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from tables
https://www.khanacademy.org/e/constant-of-proportionality-from-tables
Practice identifying the constant of proportionality from tables.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Solving proportions
https://www.khanacademy.org/e/proportions_1
Practice solving basic proportions.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpreting graphs of proportional relationships
https://www.khanacademy.org/e/interpreting-graphs-of-proportional-relationships
Practice reading and analyzing graphs of proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportional equations
https://www.khanacademy.org/e/writing-proportional-equations
Practice writing equations to describe proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from graphs
https://www.khanacademy.org/e/constant-of-proportionality-from-graphs
Practice identifying the constant of proportionality from graphs.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Identify proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships-2
Practice telling whether or not the relationship between two quantities is proportional by looking at a table or graph of the relationship.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpret constants of proportionality
https://www.khanacademy.org/e/interpret-constants-of-proportionality-
Interpret the meaning of constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships
Practice telling whether or not the relationship between two quantities is proportional by reasoning about equivalent ratios.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Compare constants of proportionality
https://www.khanacademy.org/e/compare-constants-of-proportionality
Identify and compare constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from equations
https://www.khanacademy.org/e/constant-of-proportionality-from-equations
Practice identifying the constant of proportionality from equations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportions
https://www.khanacademy.org/e/writing_proportions
Practice writing proportions to describe real-world situations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from tables
https://www.khanacademy.org/e/constant-of-proportionality-from-tables
Practice identifying the constant of proportionality from tables.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Solving proportions
https://www.khanacademy.org/e/proportions_1
Practice solving basic proportions.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Solving proportions
https://www.khanacademy.org/e/proportions_1
Practice solving basic proportions.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpreting graphs of proportional relationships
https://www.khanacademy.org/e/interpreting-graphs-of-proportional-relationships
Practice reading and analyzing graphs of proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpreting graphs of proportional relationships
https://www.khanacademy.org/e/interpreting-graphs-of-proportional-relationships
Practice reading and analyzing graphs of proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportional equations
https://www.khanacademy.org/e/writing-proportional-equations
Practice writing equations to describe proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from graphs
https://www.khanacademy.org/e/constant-of-proportionality-from-graphs
Practice identifying the constant of proportionality from graphs.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Identify proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships-2
Practice telling whether or not the relationship between two quantities is proportional by looking at a table or graph of the relationship.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpret constants of proportionality
https://www.khanacademy.org/e/interpret-constants-of-proportionality-
Interpret the meaning of constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships
Practice telling whether or not the relationship between two quantities is proportional by reasoning about equivalent ratios.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Compare constants of proportionality
https://www.khanacademy.org/e/compare-constants-of-proportionality
Identify and compare constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from equations
https://www.khanacademy.org/e/constant-of-proportionality-from-equations
Practice identifying the constant of proportionality from equations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportions
https://www.khanacademy.org/e/writing_proportions
Practice writing proportions to describe real-world situations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from tables
https://www.khanacademy.org/e/constant-of-proportionality-from-tables
Practice identifying the constant of proportionality from tables.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Solving proportions
https://www.khanacademy.org/e/proportions_1
Practice solving basic proportions.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpreting graphs of proportional relationships
https://www.khanacademy.org/e/interpreting-graphs-of-proportional-relationships
Practice reading and analyzing graphs of proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportional equations
https://www.khanacademy.org/e/writing-proportional-equations
Practice writing equations to describe proportional relationships.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from graphs
https://www.khanacademy.org/e/constant-of-proportionality-from-graphs
Practice identifying the constant of proportionality from graphs.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Identify proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships-2
Practice telling whether or not the relationship between two quantities is proportional by looking at a table or graph of the relationship.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Interpret constants of proportionality
https://www.khanacademy.org/e/interpret-constants-of-proportionality-
Interpret the meaning of constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Proportional relationships
https://www.khanacademy.org/e/analyzing-and-identifying-proportional-relationships
Practice telling whether or not the relationship between two quantities is proportional by reasoning about equivalent ratios.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Compare constants of proportionality
https://www.khanacademy.org/e/compare-constants-of-proportionality
Identify and compare constants of proportionality in graphs, tables, equations, contexts, and diagrams.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from equations
https://www.khanacademy.org/e/constant-of-proportionality-from-equations
Practice identifying the constant of proportionality from equations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Writing proportions
https://www.khanacademy.org/e/writing_proportions
Practice writing proportions to describe real-world situations.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.2
Constant of proportionality from tables
https://www.khanacademy.org/e/constant-of-proportionality-from-tables
Practice identifying the constant of proportionality from tables.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.3
Discount, tax, markup, and commission word problems
https://www.khanacademy.org/e/discount_tax_and_tip_word_problems
Practice solving word problems involving price discounts, taxes, tip, price markups, and commission fees.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.3
Equivalent representations of percent problems
https://www.khanacademy.org/e/equivalent-representations-of-percent-problems
Identify expressions that can be used to solve percent problems, like 'What is 5% of 35?'.
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.3
Percent problems
https://www.khanacademy.org/e/markup_and_commission_word_problems
Practice solving word problems involving percents, including percents comparisons and percent of change,
7
Ratios and Proportional Relationships
Math.CC.7.RP.A.3
Proportion word problems
https://www.khanacademy.org/e/constructing-proportions-to-solve-application-problems
Practice setting up and solving proportions to solve word problems.
7
Statistics and Probability
Math.CC.7.SP.A.1
Valid claims
https://www.khanacademy.org/e/valid-claims
Practice figuring out whether we took a random sample and whether we're able to draw valid conclusions from our data.
7
Statistics and Probability
Math.CC.7.SP.A.1
Making inferences from random samples
https://www.khanacademy.org/e/making-inferences-from-random-samples
Given a random sample, practice figuring out what can we reasonably infer about the entire population?
7
Statistics and Probability
Math.CC.7.SP.A.2
Making inferences from random samples
https://www.khanacademy.org/e/making-inferences-from-random-samples
Given a random sample, practice figuring out what can we reasonably infer about the entire population?
7
Statistics and Probability
Math.CC.7.SP.A.2
Valid claims
https://www.khanacademy.org/e/valid-claims
Practice figuring out whether we took a random sample and whether we're able to draw valid conclusions from our data.
7
Statistics and Probability
Math.CC.7.SP.B.3
Comparing distributions
https://www.khanacademy.org/e/comparing-populations
Practice comparing distributions that are presented in dot plots, histograms, and box plots.
7
Statistics and Probability
Math.CC.7.SP.B.4
Comparing distributions
https://www.khanacademy.org/e/comparing-populations
Practice comparing distributions that are presented in dot plots, histograms, and box plots.
7
Statistics and Probability
Math.CC.7.SP.C.5
Probability models
https://www.khanacademy.org/e/probability-models
Practice creating probability models and understand what makes a valid probability model.
7
Statistics and Probability
Math.CC.7.SP.C.6
Making predictions with probability
https://www.khanacademy.org/e/using-probability-to-make-predictions
Practice predicting the number of times a certain event will happen.
7
Statistics and Probability
Math.CC.7.SP.C.6
Probability models
https://www.khanacademy.org/e/probability-models
Practice creating probability models and understand what makes a valid probability model.
7
Statistics and Probability
Math.CC.7.SP.C.6
Experimental probability
https://www.khanacademy.org/e/finding-probability
Practice making reasonable estimates of the likelihood of future events based on past experience.
7
Statistics and Probability
Math.CC.7.SP.C.7
Simple probability
https://www.khanacademy.org/e/probability_1
Practice finding probabilities of events, such as rolling dice, drawing marbles out of a bag, and spinning spinners.
7
Statistics and Probability
Math.CC.7.SP.C.7
Simple probability
https://www.khanacademy.org/e/probability_1
Practice finding probabilities of events, such as rolling dice, drawing marbles out of a bag, and spinning spinners.
7
Statistics and Probability
Math.CC.7.SP.C.7
Probability models
https://www.khanacademy.org/e/probability-models
Practice creating probability models and understand what makes a valid probability model.
7
Statistics and Probability
Math.CC.7.SP.C.7
Making predictions with probability
https://www.khanacademy.org/e/using-probability-to-make-predictions
Practice predicting the number of times a certain event will happen.
7
Statistics and Probability
Math.CC.7.SP.C.7
Simple probability
https://www.khanacademy.org/e/probability_1
Practice finding probabilities of events, such as rolling dice, drawing marbles out of a bag, and spinning spinners.
7
Statistics and Probability
Math.CC.7.SP.C.7
Probability models
https://www.khanacademy.org/e/probability-models
Practice creating probability models and understand what makes a valid probability model.
7
Statistics and Probability
Math.CC.7.SP.C.7
Making predictions with probability
https://www.khanacademy.org/e/using-probability-to-make-predictions
Practice predicting the number of times a certain event will happen.
7
Statistics and Probability
Math.CC.7.SP.C.7
Probability models
https://www.khanacademy.org/e/probability-models
Practice creating probability models and understand what makes a valid probability model.
7
Statistics and Probability
Math.CC.7.SP.C.7
Making predictions with probability
https://www.khanacademy.org/e/using-probability-to-make-predictions
Practice predicting the number of times a certain event will happen.
7
Statistics and Probability
Math.CC.7.SP.C.8
Sample spaces for compound events
https://www.khanacademy.org/e/sample-spaces-for-compound-events
Practice checking if sample space diagrams match a compound event.
7
Statistics and Probability
Math.CC.7.SP.C.8
Probabilities of compound events
https://www.khanacademy.org/e/compound-events
Practice using sample space diagrams to find probabilities.
7
Statistics and Probability
Math.CC.7.SP.C.8
Sample spaces for compound events
https://www.khanacademy.org/e/sample-spaces-for-compound-events
Practice checking if sample space diagrams match a compound event.
7
Statistics and Probability
Math.CC.7.SP.C.8
The counting principle
https://www.khanacademy.org/e/fundamental-counting-principle
Practice counting possible outcomes in a variety of situations. These problems cover everything from counting the number of ways to get dressed in the morning to counting the number of ways to build a custom pizza.
7
Statistics and Probability
Math.CC.7.SP.C.8
Probabilities of compound events
https://www.khanacademy.org/e/compound-events
Practice using sample space diagrams to find probabilities.
7
Statistics and Probability
Math.CC.7.SP.C.8
Sample spaces for compound events
https://www.khanacademy.org/e/sample-spaces-for-compound-events
Practice checking if sample space diagrams match a compound event.
7
Statistics and Probability
Math.CC.7.SP.C.8
The counting principle
https://www.khanacademy.org/e/fundamental-counting-principle
Practice counting possible outcomes in a variety of situations. These problems cover everything from counting the number of ways to get dressed in the morning to counting the number of ways to build a custom pizza.
7
Statistics and Probability
Math.CC.7.SP.C.8
Probabilities of compound events
https://www.khanacademy.org/e/compound-events
Practice using sample space diagrams to find probabilities.
7
Statistics and Probability
Math.CC.7.SP.C.8
Sample spaces for compound events
https://www.khanacademy.org/e/sample-spaces-for-compound-events
Practice checking if sample space diagrams match a compound event.
7
Statistics and Probability
Math.CC.7.SP.C.8
The counting principle
https://www.khanacademy.org/e/fundamental-counting-principle
Practice counting possible outcomes in a variety of situations. These problems cover everything from counting the number of ways to get dressed in the morning to counting the number of ways to build a custom pizza.
7
Statistics and Probability
Math.CC.7.SP.C.8
Probabilities of compound events
https://www.khanacademy.org/e/compound-events
Practice using sample space diagrams to find probabilities.
7
Statistics and Probability
Math.CC.7.SP.C.8
The counting principle
https://www.khanacademy.org/e/fundamental-counting-principle
Practice counting possible outcomes in a variety of situations. These problems cover everything from counting the number of ways to get dressed in the morning to counting the number of ways to build a custom pizza.
8
Expressions and Equations
Math.CC.8.EE.A.1
Divide powers
https://www.khanacademy.org/e/divide-powers
Rewrite quotients of powers with the same base. For example, (xâµ)/(x²) can be written as x³.
8
Expressions and Equations
Math.CC.8.EE.A.1
Powers of products & quotients
https://www.khanacademy.org/e/powers-of-products-and-quotients
Rewrite powers of products and quotients. For example, (3âµâ‹…x³)² can be written as 3¹â°â‹…xâ¶.
8
Expressions and Equations
Math.CC.8.EE.A.1
Powers of products & quotients (integer exponents)
https://www.khanacademy.org/e/powers-of-powers-int-exp
Rewrite powers where the base includes more powers, and the exponents may be negative.
8
Expressions and Equations
Math.CC.8.EE.A.1
Negative exponents
https://www.khanacademy.org/e/exponents_2
Practice computing numbers raised to positive and negative exponents. Bases may be fractions.
8
Expressions and Equations
Math.CC.8.EE.A.1
Multiply & divide powers (integer exponents)
https://www.khanacademy.org/e/exponent_rules
Rewrite products or quotients of powers, including negative powers.
8
Expressions and Equations
Math.CC.8.EE.A.1
Powers of products & quotients (structured practice)
https://www.khanacademy.org/e/powers-of-products-and-quotients-sp
Rewrite expressions that involve powers of products and quotients. Expressions are in ascending difficulty.
8
Expressions and Equations
Math.CC.8.EE.A.1
Powers of powers
https://www.khanacademy.org/e/powers-of-powers
Rewrite powers of powers. For example, (x²)âµ can be written as x¹â°.
8
Expressions and Equations
Math.CC.8.EE.A.1
Multiply powers
https://www.khanacademy.org/e/multiply-powers
Rewrite products of powers with the same base. For example, x²⋅xâµ can be written as xâ·.
8
Expressions and Equations
Math.CC.8.EE.A.1
Properties of exponents challenge (integer exponents)
https://www.khanacademy.org/e/properties-of-integer-exponents
A quiz that cover all exponent properties using integer exponents.
8
Expressions and Equations
Math.CC.8.EE.A.2
Square roots
https://www.khanacademy.org/e/square_roots
Practice finding the square root of a perfect square positive integer.
8
Expressions and Equations
Math.CC.8.EE.A.2
Equations with square roots & cube roots
https://www.khanacademy.org/e/equations-w-square-and-cube-roots
Practice solving equations by squaring or cubing both sides.
8
Expressions and Equations
Math.CC.8.EE.A.2
Roots of decimals & fractions
https://www.khanacademy.org/e/roots-of-decimals-and-fractions
Practice taking square roots of decimals and fractions.
8
Expressions and Equations
Math.CC.8.EE.A.2
Square and cube challenge
https://www.khanacademy.org/e/more-square-and-cube-root-problems
Practice solving problems using your knowledge of square and cube roots.
8
Expressions and Equations
Math.CC.8.EE.A.2
Cube roots
https://www.khanacademy.org/e/cube_roots
Practice finding the cube root of a perfect cube positive integer.
8
Expressions and Equations
Math.CC.8.EE.A.3
Scientific notation
https://www.khanacademy.org/e/scientific_notation
Practice expressing numbers in scientific notation.
8
Expressions and Equations
Math.CC.8.EE.A.3
Approximating with powers of 10
https://www.khanacademy.org/e/approximating-with-orders-of-magnitude
Practice comparing two real-world quantities by approximating them with powers of 10.
8
Expressions and Equations
Math.CC.8.EE.A.3
Multiplication and division with powers of ten
https://www.khanacademy.org/e/orders-of-magnitude
Practice solving multiplication and division problems that involve powers of ten.
8
Expressions and Equations
Math.CC.8.EE.A.4
Multiplying & dividing in scientific notation
https://www.khanacademy.org/e/multiplying_and_dividing_scientific_notation
Practice expressing products and quotients in scientific notation.
8
Expressions and Equations
Math.CC.8.EE.A.4
Approximating with powers of 10
https://www.khanacademy.org/e/approximating-with-orders-of-magnitude
Practice comparing two real-world quantities by approximating them with powers of 10.
8
Expressions and Equations
Math.CC.8.EE.A.4
Adding & subtracting in scientific notation
https://www.khanacademy.org/e/adding-and-subtracting-in-scientific-notation
Given two numbers in scientific notation, practice adding and subtracting them.
8
Expressions and Equations
Math.CC.8.EE.A.4
Scientific notation word problems
https://www.khanacademy.org/e/computing-in-scientific-notation
Practice solving addition, subtraction, multiplication, and division problems involving scientific notation.
8
Expressions and Equations
Math.CC.8.EE.A.4
Multiplication and division with powers of ten
https://www.khanacademy.org/e/orders-of-magnitude
Practice solving multiplication and division problems that involve powers of ten.
8
Expressions and Equations
Math.CC.8.EE.B.5
Rates & proportional relationships
https://www.khanacademy.org/e/comparing-proportional-relationships
A variety of questions about rates and proportional relationships involving graphs, tables, and equations.
8
Expressions and Equations
Math.CC.8.EE.B.5
Graphing proportional relationships
https://www.khanacademy.org/e/graphing-proportional-relationships
8
Expressions and Equations
Math.CC.8.EE.B.6
Coming Soon
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with parentheses
https://www.khanacademy.org/e/multistep_equations_with_distribution
Practice solving equations with parentheses using the distributive property.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with variables on both sides
https://www.khanacademy.org/e/linear_equations_3
Practice solving one-variable equations like 20 - 7x = 6x - 6, where the variable appears on both sides of the equals sign.
8
Expressions and Equations
Math.CC.8.EE.C.7
Number of solutions to equations challenge
https://www.khanacademy.org/e/complete-equations-according-to-solutions
Given a linear equation with missing values, determine appropriate values in order to have one, zero, or infinite solutions. For example, complete the equation -11x + 4 = __x + __ so that it has no solutions.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with variables on both sides: decimals & fractions
https://www.khanacademy.org/e/variables-on-both-sides-rational
Solve linear equations where the variable appears on both sides of the equation and the coefficients are decimals or fractions.
8
Expressions and Equations
Math.CC.8.EE.C.7
Number of solutions to equations
https://www.khanacademy.org/e/solutions-to-linear-equations
Practice telling whether an equation has one, zero, or infinite solutions. For example, how many solutions does the equation 8(3x+10)=28x-14-4x have?
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with parentheses: decimals & fractions
https://www.khanacademy.org/e/multi-step-equations-rational
Solve linear equations that contain expressions with parentheses and the coefficients are rational numbers.
8
Expressions and Equations
Math.CC.8.EE.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
8
Expressions and Equations
Math.CC.8.EE.C.7
Sums of consecutive integers
https://www.khanacademy.org/e/integer_sums
Practice finding the nth number in a sequence of consecutive numbers based on the sum.
8
Expressions and Equations
Math.CC.8.EE.C.7
Slope-intercept from two points
https://www.khanacademy.org/e/slope-intercept-equation-from-two-points
Practice finding the equation of a line passing through two points
8
Expressions and Equations
Math.CC.8.EE.C.7
Number of solutions to equations challenge
https://www.khanacademy.org/e/complete-equations-according-to-solutions
Given a linear equation with missing values, determine appropriate values in order to have one, zero, or infinite solutions. For example, complete the equation -11x + 4 = __x + __ so that it has no solutions.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with variables on both sides
https://www.khanacademy.org/e/linear_equations_3
Practice solving one-variable equations like 20 - 7x = 6x - 6, where the variable appears on both sides of the equals sign.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with parentheses
https://www.khanacademy.org/e/multistep_equations_with_distribution
Practice solving equations with parentheses using the distributive property.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with variables on both sides: decimals & fractions
https://www.khanacademy.org/e/variables-on-both-sides-rational
Solve linear equations where the variable appears on both sides of the equation and the coefficients are decimals or fractions.
8
Expressions and Equations
Math.CC.8.EE.C.7
Number of solutions to equations
https://www.khanacademy.org/e/solutions-to-linear-equations
Practice telling whether an equation has one, zero, or infinite solutions. For example, how many solutions does the equation 8(3x+10)=28x-14-4x have?
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with parentheses: decimals & fractions
https://www.khanacademy.org/e/multi-step-equations-rational
Solve linear equations that contain expressions with parentheses and the coefficients are rational numbers.
8
Expressions and Equations
Math.CC.8.EE.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
8
Expressions and Equations
Math.CC.8.EE.C.7
Sums of consecutive integers
https://www.khanacademy.org/e/integer_sums
Practice finding the nth number in a sequence of consecutive numbers based on the sum.
8
Expressions and Equations
Math.CC.8.EE.C.7
Slope-intercept from two points
https://www.khanacademy.org/e/slope-intercept-equation-from-two-points
Practice finding the equation of a line passing through two points
8
Expressions and Equations
Math.CC.8.EE.C.7
Number of solutions to equations challenge
https://www.khanacademy.org/e/complete-equations-according-to-solutions
Given a linear equation with missing values, determine appropriate values in order to have one, zero, or infinite solutions. For example, complete the equation -11x + 4 = __x + __ so that it has no solutions.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with variables on both sides
https://www.khanacademy.org/e/linear_equations_3
Practice solving one-variable equations like 20 - 7x = 6x - 6, where the variable appears on both sides of the equals sign.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with parentheses
https://www.khanacademy.org/e/multistep_equations_with_distribution
Practice solving equations with parentheses using the distributive property.
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with variables on both sides: decimals & fractions
https://www.khanacademy.org/e/variables-on-both-sides-rational
Solve linear equations where the variable appears on both sides of the equation and the coefficients are decimals or fractions.
8
Expressions and Equations
Math.CC.8.EE.C.7
Number of solutions to equations
https://www.khanacademy.org/e/solutions-to-linear-equations
Practice telling whether an equation has one, zero, or infinite solutions. For example, how many solutions does the equation 8(3x+10)=28x-14-4x have?
8
Expressions and Equations
Math.CC.8.EE.C.7
Equations with parentheses: decimals & fractions
https://www.khanacademy.org/e/multi-step-equations-rational
Solve linear equations that contain expressions with parentheses and the coefficients are rational numbers.
8
Expressions and Equations
Math.CC.8.EE.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
8
Expressions and Equations
Math.CC.8.EE.C.7
Sums of consecutive integers
https://www.khanacademy.org/e/integer_sums
Practice finding the nth number in a sequence of consecutive numbers based on the sum.
8
Expressions and Equations
Math.CC.8.EE.C.7
Slope-intercept from two points
https://www.khanacademy.org/e/slope-intercept-equation-from-two-points
Practice finding the equation of a line passing through two points
8
Expressions and Equations
Math.CC.8.EE.C.8
Equivalent systems of equations
https://www.khanacademy.org/e/understanding-solution-methods-to-systems-of-equations
Determine whether a couple of given systems of equations are equivalent or not to a third given system.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations word problems
https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems
Solve word problems by modeling them into a system of equations and solving it.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination challenge
https://www.khanacademy.org/e/systems_of_equations_with_elimination
Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out).
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with substitution
https://www.khanacademy.org/e/systems_of_equations_with_substitution
Solve systems of equations where one of the equations is solved for one of the variables.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination
https://www.khanacademy.org/e/systems_of_equations_with_elimination_0.5
Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).
8
Expressions and Equations
Math.CC.8.EE.C.8
Age word problems
https://www.khanacademy.org/e/age_word_problems
Solve age word problems with a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations graphically
https://www.khanacademy.org/e/graphical-solutions-to-systems
Determine the number of solutions of a given system of equations by considering its graph.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with graphing
https://www.khanacademy.org/e/graphing_systems_of_equations
Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.
8
Expressions and Equations
Math.CC.8.EE.C.8
Solutions of systems of equations
https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations
Verify whether a given pair of values is a solution to a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations algebraically
https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system
Determine the number of solutions of a given system of equations by considering its algebraic solution process.
8
Expressions and Equations
Math.CC.8.EE.C.8
Equivalent systems of equations
https://www.khanacademy.org/e/understanding-solution-methods-to-systems-of-equations
Determine whether a couple of given systems of equations are equivalent or not to a third given system.
8
Expressions and Equations
Math.CC.8.EE.C.8
Solutions of systems of equations
https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations
Verify whether a given pair of values is a solution to a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination challenge
https://www.khanacademy.org/e/systems_of_equations_with_elimination
Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out).
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with substitution
https://www.khanacademy.org/e/systems_of_equations_with_substitution
Solve systems of equations where one of the equations is solved for one of the variables.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination
https://www.khanacademy.org/e/systems_of_equations_with_elimination_0.5
Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).
8
Expressions and Equations
Math.CC.8.EE.C.8
Age word problems
https://www.khanacademy.org/e/age_word_problems
Solve age word problems with a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations graphically
https://www.khanacademy.org/e/graphical-solutions-to-systems
Determine the number of solutions of a given system of equations by considering its graph.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with graphing
https://www.khanacademy.org/e/graphing_systems_of_equations
Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.
8
Expressions and Equations
Math.CC.8.EE.C.8
Solutions of systems of equations
https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations
Verify whether a given pair of values is a solution to a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations algebraically
https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system
Determine the number of solutions of a given system of equations by considering its algebraic solution process.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations word problems
https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems
Solve word problems by modeling them into a system of equations and solving it.
8
Expressions and Equations
Math.CC.8.EE.C.8
Equivalent systems of equations
https://www.khanacademy.org/e/understanding-solution-methods-to-systems-of-equations
Determine whether a couple of given systems of equations are equivalent or not to a third given system.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations algebraically
https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system
Determine the number of solutions of a given system of equations by considering its algebraic solution process.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with graphing
https://www.khanacademy.org/e/graphing_systems_of_equations
Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations graphically
https://www.khanacademy.org/e/graphical-solutions-to-systems
Determine the number of solutions of a given system of equations by considering its graph.
8
Expressions and Equations
Math.CC.8.EE.C.8
Age word problems
https://www.khanacademy.org/e/age_word_problems
Solve age word problems with a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination
https://www.khanacademy.org/e/systems_of_equations_with_elimination_0.5
Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with substitution
https://www.khanacademy.org/e/systems_of_equations_with_substitution
Solve systems of equations where one of the equations is solved for one of the variables.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination challenge
https://www.khanacademy.org/e/systems_of_equations_with_elimination
Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out).
8
Expressions and Equations
Math.CC.8.EE.C.8
Equivalent systems of equations
https://www.khanacademy.org/e/understanding-solution-methods-to-systems-of-equations
Determine whether a couple of given systems of equations are equivalent or not to a third given system.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations word problems
https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems
Solve word problems by modeling them into a system of equations and solving it.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with substitution
https://www.khanacademy.org/e/systems_of_equations_with_substitution
Solve systems of equations where one of the equations is solved for one of the variables.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations word problems
https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems
Solve word problems by modeling them into a system of equations and solving it.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations algebraically
https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system
Determine the number of solutions of a given system of equations by considering its algebraic solution process.
8
Expressions and Equations
Math.CC.8.EE.C.8
Solutions of systems of equations
https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations
Verify whether a given pair of values is a solution to a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with graphing
https://www.khanacademy.org/e/graphing_systems_of_equations
Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.
8
Expressions and Equations
Math.CC.8.EE.C.8
Number of solutions to a system of equations graphically
https://www.khanacademy.org/e/graphical-solutions-to-systems
Determine the number of solutions of a given system of equations by considering its graph.
8
Expressions and Equations
Math.CC.8.EE.C.8
Age word problems
https://www.khanacademy.org/e/age_word_problems
Solve age word problems with a system of equations.
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination
https://www.khanacademy.org/e/systems_of_equations_with_elimination_0.5
Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).
8
Expressions and Equations
Math.CC.8.EE.C.8
Systems of equations with elimination challenge
https://www.khanacademy.org/e/systems_of_equations_with_elimination
Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out).
8
Functions
Math.CC.8.F.A.1
Complete solutions to 2-variable equations
https://www.khanacademy.org/e/graphing-solutions-to-two-variable-linear-equations
Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution.
8
Functions
Math.CC.8.F.A.1
Recognize functions from tables
https://www.khanacademy.org/e/recognizing_functions
Determine whether a table of values of a relationship represents a function.
8
Functions
Math.CC.8.F.A.1
Solutions to 2-variable equations
https://www.khanacademy.org/e/plugging_in_values
Determine which ordered pairs are solutions to equations.
8
Functions
Math.CC.8.F.A.1
Evaluate functions
https://www.khanacademy.org/e/functions_1
Evaluate functions for specific inputs given the formula of the function.
8
Functions
Math.CC.8.F.A.1
Function rules from equations
https://www.khanacademy.org/e/functions-from-equations
Create functions that match one variable to the other in a two-variable equation.
8
Functions
Math.CC.8.F.A.1
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
8
Functions
Math.CC.8.F.A.1
Slope-intercept from two points
https://www.khanacademy.org/e/slope-intercept-equation-from-two-points
Practice finding the equation of a line passing through two points
8
Functions
Math.CC.8.F.A.1
Recognize functions from graphs
https://www.khanacademy.org/e/recog-func-2
Determine whether a given graph represents a function.
8
Functions
Math.CC.8.F.A.1
Slope-intercept equation from graph
https://www.khanacademy.org/e/slope-intercept-equation-from-graph
Practice finding the slope-intercept equation of a line from its graph.
8
Functions
Math.CC.8.F.A.1
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
8
Functions
Math.CC.8.F.A.2
Compare linear functions
https://www.khanacademy.org/e/comparing-features-of-functions-0-5
Compare features of two linear functions represented in different ways.
8
Functions
Math.CC.8.F.A.3
Linear & nonlinear functions
https://www.khanacademy.org/e/linear-non-linear-functions
Determine if a relationship is linear or nonlinear.
8
Functions
Math.CC.8.F.A.3
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
8
Functions
Math.CC.8.F.A.3
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
8
Functions
Math.CC.8.F.A.3
Slope-intercept equation from graph
https://www.khanacademy.org/e/slope-intercept-equation-from-graph
Practice finding the slope-intercept equation of a line from its graph.
8
Functions
Math.CC.8.F.A.3
Slope-intercept from two points
https://www.khanacademy.org/e/slope-intercept-equation-from-two-points
Practice finding the equation of a line passing through two points
8
Functions
Math.CC.8.F.B.4
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
8
Functions
Math.CC.8.F.B.4
Slope from two points
https://www.khanacademy.org/e/slope-from-two-points
Find the slope of the line that goes through the two points that are given to you.
8
Functions
Math.CC.8.F.B.4
Slope-intercept equation from graph
https://www.khanacademy.org/e/slope-intercept-equation-from-graph
Practice finding the slope-intercept equation of a line from its graph.
8
Functions
Math.CC.8.F.B.4
Slope-intercept from two points
https://www.khanacademy.org/e/slope-intercept-equation-from-two-points
Practice finding the equation of a line passing through two points
8
Functions
Math.CC.8.F.B.4
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
8
Functions
Math.CC.8.F.B.4
Slope from graph
https://www.khanacademy.org/e/slope-from-a-graph
Find the slope of a line on the coordinate plane.
8
Functions
Math.CC.8.F.B.5
Interpreting graphs of functions
https://www.khanacademy.org/e/interpreting-graphs-of-linear-and-nonlinear-functions
Interpret the graphs of both linear and nonlinear functions.
8
Geometry
Math.CC.8.G.A.1
Determine rotations (basic)
https://www.khanacademy.org/e/determine-rotations--basic-
Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other. Rotations are around the origin and a multiple of 90º.
8
Geometry
Math.CC.8.G.A.1
Translate shapes
https://www.khanacademy.org/e/translations
Given a figure and a definition of a translation, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Reflect points
https://www.khanacademy.org/e/performing-reflections-on-the-coordinate-plane
Given a point and a definition of a reflection, plot the reflection on a coordinate plane or identify the coordinates of the reflected point.
8
Geometry
Math.CC.8.G.A.1
Determine translations
https://www.khanacademy.org/e/defining-translations
Given two figures on the coordinate plane, find the formal definition of the translation that takes one figure to another.
8
Geometry
Math.CC.8.G.A.1
Find measures using rigid transformations
https://www.khanacademy.org/e/find-measures-using-rigid-transformations
Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.
8
Geometry
Math.CC.8.G.A.1
Rotate points (basic)
https://www.khanacademy.org/e/rotate-points--basic-
Given a point and a definition of a rotation, plot the rotation on a coordinate plane or identify the coordinates of the rotated point. Rotations are about the origin and multiples of 90º.
8
Geometry
Math.CC.8.G.A.1
Mapping shapes
https://www.khanacademy.org/e/mapping-shapes
Map a given shape into another using sequences of rigid transformations (translations, rotations, and/or reflections).
8
Geometry
Math.CC.8.G.A.1
Translate points
https://www.khanacademy.org/e/performing-translations-on-the-coordinate-plane
Given a point and a definition of a translation, plot the translation on a coordinate plane or identify the coordinates of the translated point.
8
Geometry
Math.CC.8.G.A.1
Reflect shapes
https://www.khanacademy.org/e/reflections-1
Given a figure and a definition of a reflection, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Rigid transformations: preserved properties
https://www.khanacademy.org/e/transformation-preserved-properties
Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.
8
Geometry
Math.CC.8.G.A.1
Determine reflections
https://www.khanacademy.org/e/determine-reflections
Given a shape and its image under a reflection, determine the line of reflection.
8
Geometry
Math.CC.8.G.A.1
Identify transformations
https://www.khanacademy.org/e/identify-transformations
Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.
8
Geometry
Math.CC.8.G.A.1
Translate shapes
https://www.khanacademy.org/e/translations
Given a figure and a definition of a translation, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Rotate points (basic)
https://www.khanacademy.org/e/rotate-points--basic-
Given a point and a definition of a rotation, plot the rotation on a coordinate plane or identify the coordinates of the rotated point. Rotations are about the origin and multiples of 90º.
8
Geometry
Math.CC.8.G.A.1
Find measures using rigid transformations
https://www.khanacademy.org/e/find-measures-using-rigid-transformations
Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.
8
Geometry
Math.CC.8.G.A.1
Determine translations
https://www.khanacademy.org/e/defining-translations
Given two figures on the coordinate plane, find the formal definition of the translation that takes one figure to another.
8
Geometry
Math.CC.8.G.A.1
Reflect points
https://www.khanacademy.org/e/performing-reflections-on-the-coordinate-plane
Given a point and a definition of a reflection, plot the reflection on a coordinate plane or identify the coordinates of the reflected point.
8
Geometry
Math.CC.8.G.A.1
Determine rotations (basic)
https://www.khanacademy.org/e/determine-rotations--basic-
Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other. Rotations are around the origin and a multiple of 90º.
8
Geometry
Math.CC.8.G.A.1
Mapping shapes
https://www.khanacademy.org/e/mapping-shapes
Map a given shape into another using sequences of rigid transformations (translations, rotations, and/or reflections).
8
Geometry
Math.CC.8.G.A.1
Translate points
https://www.khanacademy.org/e/performing-translations-on-the-coordinate-plane
Given a point and a definition of a translation, plot the translation on a coordinate plane or identify the coordinates of the translated point.
8
Geometry
Math.CC.8.G.A.1
Reflect shapes
https://www.khanacademy.org/e/reflections-1
Given a figure and a definition of a reflection, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Rigid transformations: preserved properties
https://www.khanacademy.org/e/transformation-preserved-properties
Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.
8
Geometry
Math.CC.8.G.A.1
Determine reflections
https://www.khanacademy.org/e/determine-reflections
Given a shape and its image under a reflection, determine the line of reflection.
8
Geometry
Math.CC.8.G.A.1
Identify transformations
https://www.khanacademy.org/e/identify-transformations
Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.
8
Geometry
Math.CC.8.G.A.1
Translate points
https://www.khanacademy.org/e/performing-translations-on-the-coordinate-plane
Given a point and a definition of a translation, plot the translation on a coordinate plane or identify the coordinates of the translated point.
8
Geometry
Math.CC.8.G.A.1
Determine rotations (basic)
https://www.khanacademy.org/e/determine-rotations--basic-
Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other. Rotations are around the origin and a multiple of 90º.
8
Geometry
Math.CC.8.G.A.1
Reflect points
https://www.khanacademy.org/e/performing-reflections-on-the-coordinate-plane
Given a point and a definition of a reflection, plot the reflection on a coordinate plane or identify the coordinates of the reflected point.
8
Geometry
Math.CC.8.G.A.1
Determine translations
https://www.khanacademy.org/e/defining-translations
Given two figures on the coordinate plane, find the formal definition of the translation that takes one figure to another.
8
Geometry
Math.CC.8.G.A.1
Find measures using rigid transformations
https://www.khanacademy.org/e/find-measures-using-rigid-transformations
Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.
8
Geometry
Math.CC.8.G.A.1
Rotate points (basic)
https://www.khanacademy.org/e/rotate-points--basic-
Given a point and a definition of a rotation, plot the rotation on a coordinate plane or identify the coordinates of the rotated point. Rotations are about the origin and multiples of 90º.
8
Geometry
Math.CC.8.G.A.1
Translate shapes
https://www.khanacademy.org/e/translations
Given a figure and a definition of a translation, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Identify transformations
https://www.khanacademy.org/e/identify-transformations
Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.
8
Geometry
Math.CC.8.G.A.1
Determine reflections
https://www.khanacademy.org/e/determine-reflections
Given a shape and its image under a reflection, determine the line of reflection.
8
Geometry
Math.CC.8.G.A.1
Rigid transformations: preserved properties
https://www.khanacademy.org/e/transformation-preserved-properties
Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.
8
Geometry
Math.CC.8.G.A.1
Reflect shapes
https://www.khanacademy.org/e/reflections-1
Given a figure and a definition of a reflection, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Translate points
https://www.khanacademy.org/e/performing-translations-on-the-coordinate-plane
Given a point and a definition of a translation, plot the translation on a coordinate plane or identify the coordinates of the translated point.
8
Geometry
Math.CC.8.G.A.1
Mapping shapes
https://www.khanacademy.org/e/mapping-shapes
Map a given shape into another using sequences of rigid transformations (translations, rotations, and/or reflections).
8
Geometry
Math.CC.8.G.A.1
Determine rotations (basic)
https://www.khanacademy.org/e/determine-rotations--basic-
Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other. Rotations are around the origin and a multiple of 90º.
8
Geometry
Math.CC.8.G.A.1
Reflect points
https://www.khanacademy.org/e/performing-reflections-on-the-coordinate-plane
Given a point and a definition of a reflection, plot the reflection on a coordinate plane or identify the coordinates of the reflected point.
8
Geometry
Math.CC.8.G.A.1
Determine translations
https://www.khanacademy.org/e/defining-translations
Given two figures on the coordinate plane, find the formal definition of the translation that takes one figure to another.
8
Geometry
Math.CC.8.G.A.1
Find measures using rigid transformations
https://www.khanacademy.org/e/find-measures-using-rigid-transformations
Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.
8
Geometry
Math.CC.8.G.A.1
Rotate points (basic)
https://www.khanacademy.org/e/rotate-points--basic-
Given a point and a definition of a rotation, plot the rotation on a coordinate plane or identify the coordinates of the rotated point. Rotations are about the origin and multiples of 90º.
8
Geometry
Math.CC.8.G.A.1
Translate shapes
https://www.khanacademy.org/e/translations
Given a figure and a definition of a translation, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Identify transformations
https://www.khanacademy.org/e/identify-transformations
Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.
8
Geometry
Math.CC.8.G.A.1
Determine reflections
https://www.khanacademy.org/e/determine-reflections
Given a shape and its image under a reflection, determine the line of reflection.
8
Geometry
Math.CC.8.G.A.1
Rigid transformations: preserved properties
https://www.khanacademy.org/e/transformation-preserved-properties
Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.
8
Geometry
Math.CC.8.G.A.1
Reflect shapes
https://www.khanacademy.org/e/reflections-1
Given a figure and a definition of a reflection, manually draw the image.
8
Geometry
Math.CC.8.G.A.1
Mapping shapes
https://www.khanacademy.org/e/mapping-shapes
Map a given shape into another using sequences of rigid transformations (translations, rotations, and/or reflections).
8
Geometry
Math.CC.8.G.A.2
Rigid transformations: preserved properties
https://www.khanacademy.org/e/transformation-preserved-properties
Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.
8
Geometry
Math.CC.8.G.A.2
Mapping shapes
https://www.khanacademy.org/e/mapping-shapes
Map a given shape into another using sequences of rigid transformations (translations, rotations, and/or reflections).
8
Geometry
Math.CC.8.G.A.2
Congruence & transformations
https://www.khanacademy.org/e/exploring-rigid-transformations-and-congruence
Given a pair of figures in the coordinate plane, try to map one onto the other and determine whether they are congruent.
8
Geometry
Math.CC.8.G.A.2
Find measures using rigid transformations
https://www.khanacademy.org/e/find-measures-using-rigid-transformations
Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.
8
Geometry
Math.CC.8.G.A.3
Reflect shapes
https://www.khanacademy.org/e/reflections-1
Given a figure and a definition of a reflection, manually draw the image.
8
Geometry
Math.CC.8.G.A.3
Determine rotations (basic)
https://www.khanacademy.org/e/determine-rotations--basic-
Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other. Rotations are around the origin and a multiple of 90º.
8
Geometry
Math.CC.8.G.A.3
Dilate points
https://www.khanacademy.org/e/performing-dilations
Use the interactive transformation tool to perform dilations.
8
Geometry
Math.CC.8.G.A.3
Dilations and properties
https://www.khanacademy.org/e/dilations-preserved-properties
Given a shape and the dilation that is performed on it, determine which properties are shared by the shape and its image.
8
Geometry
Math.CC.8.G.A.3
Determine reflections
https://www.khanacademy.org/e/determine-reflections
Given a shape and its image under a reflection, determine the line of reflection.
8
Geometry
Math.CC.8.G.A.3
Translate points
https://www.khanacademy.org/e/performing-translations-on-the-coordinate-plane
Given a point and a definition of a translation, plot the translation on a coordinate plane or identify the coordinates of the translated point.
8
Geometry
Math.CC.8.G.A.3
Dilations: scale factor
https://www.khanacademy.org/e/defining-dilations-2
Find both the center and the scale factor of a dilation that maps a given figure to another one.
8
Geometry
Math.CC.8.G.A.3
Determine translations
https://www.khanacademy.org/e/defining-translations
Given two figures on the coordinate plane, find the formal definition of the translation that takes one figure to another.
8
Geometry
Math.CC.8.G.A.3
Translate shapes
https://www.khanacademy.org/e/translations
Given a figure and a definition of a translation, manually draw the image.
8
Geometry
Math.CC.8.G.A.3
Dilate triangles
https://www.khanacademy.org/e/dilations
Given a figure and a definition of a dilation, manually draw the image.
8
Geometry
Math.CC.8.G.A.3
Reflect points
https://www.khanacademy.org/e/performing-reflections-on-the-coordinate-plane
Given a point and a definition of a reflection, plot the reflection on a coordinate plane or identify the coordinates of the reflected point.
8
Geometry
Math.CC.8.G.A.4
Dilate triangles
https://www.khanacademy.org/e/dilations
Given a figure and a definition of a dilation, manually draw the image.
8
Geometry
Math.CC.8.G.A.4
Dilations and properties
https://www.khanacademy.org/e/dilations-preserved-properties
Given a shape and the dilation that is performed on it, determine which properties are shared by the shape and its image.
8
Geometry
Math.CC.8.G.A.4
Dilations: scale factor
https://www.khanacademy.org/e/defining-dilations-2
Find both the center and the scale factor of a dilation that maps a given figure to another one.
8
Geometry
Math.CC.8.G.A.4
Similarity & transformations
https://www.khanacademy.org/e/exploring-angle-preserving-transformations-and-similarity
Given two polygons, try to map one onto the other using angle-preserving transformations, and determine whether they are similar.
8
Geometry
Math.CC.8.G.A.5
Finding angle measures between intersecting lines
https://www.khanacademy.org/e/angles_1
Use your knowledge about angles to find missing angle measures in various situations.
8
Geometry
Math.CC.8.G.A.5
Equation practice with angles
https://www.khanacademy.org/e/parallel_lines_2
8
Geometry
Math.CC.8.G.A.5
Angle relationships with parallel lines
https://www.khanacademy.org/e/parallel_lines_1
Find missing angles given two parallel lines and a transversal.
8
Geometry
Math.CC.8.G.A.5
Finding angle measures using triangles
https://www.khanacademy.org/e/angles_2
Use your knowledge about angles to find missing angle measures in various complex situations.
8
Geometry
Math.CC.8.G.A.5
Find angles in triangles
https://www.khanacademy.org/e/triangle_angles_1
Find missing angle measures in triangles using the properties of general triangles, isosceles triangles, and equilateral triangles.
8
Geometry
Math.CC.8.G.A.5
Find angles in isosceles triangles
https://www.khanacademy.org/e/find-angles-in-isosceles-triangles
Find missing angles in isosceles triangles given just one angle.
8
Geometry
Math.CC.8.G.B.6
Use area of squares to visualize Pythagorean theorem
https://www.khanacademy.org/e/use-area-of-squares-to-visualize-pythagorean-theorem
Explain the Pythagorean theorem and its converse using the area of squares.
8
Geometry
Math.CC.8.G.B.7
Use Pythagorean theorem to find area and perimeter
https://www.khanacademy.org/e/use-pythagorean-theorem-to-find-area-and-perimeter
Find the area and perimeter of triangles and quadrilaterals by first using the Pythagorean Theorem to find missing side lengths.
8
Geometry
Math.CC.8.G.B.7
Use Pythagorean theorem to find isosceles triangle side lengths
https://www.khanacademy.org/e/use-pythagorean-theorem-to-find-side-lengths-on-isosceles-triangles
Find a missing side length on an acute isosceles triangle by using the Pythagorean theorem.
8
Geometry
Math.CC.8.G.B.7
Pythagorean theorem word problems
https://www.khanacademy.org/e/pythagorean-theorem-word-problems--basic
Use the Pythagorean theorem to solve word problems.
8
Geometry
Math.CC.8.G.B.7
Use Pythagorean theorem to find right triangle side lengths
https://www.khanacademy.org/e/pythagorean_theorem_1
Find the length of the hypotenuse or a leg of a right triangle using the Pythagorean theorem. Â
8
Geometry
Math.CC.8.G.B.7
Pythagorean theorem in 3D
https://www.khanacademy.org/e/pythagorean-theorem-in-3d
8
Geometry
Math.CC.8.G.B.7
Pythagorean theorem challenge
https://www.khanacademy.org/e/pythagorean-theorem-word-problems
Solve real-world problems that can be modeled by right triangles, using the Pythagorean Theorem!
8
Geometry
Math.CC.8.G.B.7
Right triangle side lengths
https://www.khanacademy.org/e/right-triangle-side-lengths
Use the Pythagorean theorem to determine if the given side lengths could form a right triangle.
8
Geometry
Math.CC.8.G.B.8
Distance between two points
https://www.khanacademy.org/e/distance_formula
Use the Pythagorean theorem to find the distance between two points on the coordinate plane.
8
Geometry
Math.CC.8.G.C.9
Volume of cones
https://www.khanacademy.org/e/volume-of-cones
Practice applying the volume formulas for cones.
8
Geometry
Math.CC.8.G.C.9
Volume of spheres
https://www.khanacademy.org/e/volume-of-spheres
Practice applying the volume formulas for spheres.
8
Geometry
Math.CC.8.G.C.9
Volume of cylinders
https://www.khanacademy.org/e/volumes-of-cones--cylinders--and-spheres
Practice applying the volume formulas for cylinders.
8
Geometry
Math.CC.8.G.C.9
Volume of cylinders, spheres, and cones word problems
https://www.khanacademy.org/e/volume-of-cylinders--spheres--and-cones-word-problems
Solve word problems involving volume of cylinders, spheres, and cones.
8
The Number System
Math.CC.8.NS.A.1
Converting multi-digit repeating decimals to fractions
https://www.khanacademy.org/e/converting_repeating_decimals_to_fractions_2
Practice converting multi-digit repeating decimals to fractions.
8
The Number System
Math.CC.8.NS.A.1
Converting repeating decimals to fractions
https://www.khanacademy.org/e/converting_repeating_decimals_to_fractions_1
Practice converting 1- and 2-digit repeating decimals to fractions.
8
The Number System
Math.CC.8.NS.A.1
Classify numbers
https://www.khanacademy.org/e/identifying-whole--integer--and-rational-numbers
Practice classifying numbers as whole, integer, rational, and irrational.
8
The Number System
Math.CC.8.NS.A.1
Classify numbers: rational & irrational
https://www.khanacademy.org/e/recognizing-rational-and-irrational-numbers
Practice identifying whether numbers are rational or irrational.
8
The Number System
Math.CC.8.NS.A.1
Writing fractions as repeating decimals
https://www.khanacademy.org/e/writing-fractions-as-repeating-decimals
Practice writing fractions as repeating decimals. Get ready to bust out those long division skills!
8
The Number System
Math.CC.8.NS.A.2
Approximating square roots
https://www.khanacademy.org/e/square_roots_2
Practice finding the approximate value of square roots by thinking about perfect squares.
8
The Number System
Math.CC.8.NS.A.2
Approximating square roots
https://www.khanacademy.org/e/approximating-square-roots-exp
Practice finding the approximate value of square roots by thinking about perfect squares.
8
The Number System
Math.CC.8.NS.A.2
Comparing irrational numbers with a calculator
https://www.khanacademy.org/e/approximating-irrational-numbers
Practice using a calculator to find the approximate decimal values of irrational numbers.
8
The Number System
Math.CC.8.NS.A.2
Comparing irrational numbers
https://www.khanacademy.org/e/approximating-irrational-numbers-without-a-calculator
Practice comparing irrational numbers without using a calculator.
8
Statistics and Probability
Math.CC.8.SP.A.1
Positive and negative linear associations from scatter plots
https://www.khanacademy.org/e/positive-and-negative-linear-correlations-from-scatter-plots
Practice identifying the types of associations shown in scatter plots. Sometimes we see linear associations (positive or negative), sometimes we see non-linear associations (the data seems to follow a curve), and other times we don't see any association at all.
8
Statistics and Probability
Math.CC.8.SP.A.1
Constructing scatter plots
https://www.khanacademy.org/e/constructing-scatter-plots
Practice plotting points to construct a scatter plot.
8
Statistics and Probability
Math.CC.8.SP.A.1
Describing trends in scatter plots
https://www.khanacademy.org/e/interpreting-scatter-plots
Practice making sense of trends in scatter plots. That is, explain what trends mean in terms of real-world quantities.
8
Statistics and Probability
Math.CC.8.SP.A.1
Making good scatter plots
https://www.khanacademy.org/e/making-good-scatter-plots
A good scatter plot has the independent variable on the x-axis and the dependent variable on the y-axis. Also, the scale of both axes should be reasonable, making the data as easy to read as possible. In these practice problems, we practice telling good scatter plots from bad ones.
8
Statistics and Probability
Math.CC.8.SP.A.2
Eyeballing the line of best fit
https://www.khanacademy.org/e/plotting_the_line_of_best_fit
Given a random assortment of points, draw a line of best fit through them.
8
Statistics and Probability
Math.CC.8.SP.A.3
Estimating equations of lines of best fit, and using them to make predictions
https://www.khanacademy.org/e/equations-of-lines-of-best-fit-to-make-predictions
Practice estimating the equation of a line of best fit through data points in a scatter plot. Then, use the equation to make a prediction.
8
Statistics and Probability
Math.CC.8.SP.A.3
Interpreting slope and y-intercept for linear models
https://www.khanacademy.org/e/interpreting-slope-and-y-intercept-of-lines-of-best-fit
Practice explaining the meaning of slope and y-intercept for lines of best fit on scatter plots.
8
Statistics and Probability
Math.CC.8.SP.A.3
Estimating slope of line of best fit
https://www.khanacademy.org/e/linear-models-of-bivariate-data
Given a scatter plot, can you estimate the slope of the line of best fit that goes through the data points?
8
Statistics and Probability
Math.CC.8.SP.A.4
Reading two-way frequency tables
https://www.khanacademy.org/e/reading-two-way-frequency-tables
Practice interpreting two-way frequency tables. For example, what does the cell in the top left tell you?
8
Statistics and Probability
Math.CC.8.SP.A.4
Interpreting two-way tables
https://www.khanacademy.org/e/frequencies-of-bivariate-data
Do you understand how two-way tables really work? Here's your chance to practice. Go get 'em! You got this!
8
Statistics and Probability
Math.CC.8.SP.A.4
Two-way frequency tables
https://www.khanacademy.org/e/two-way-frequency-tables
Given a Venn diagram or information about a relationship, create a two-way frequency table.
8
Statistics and Probability
Math.CC.8.SP.A.4
Reading two-way relative frequency tables
https://www.khanacademy.org/e/reading-two-way-relative-frequency-tables
Practice interpreting two-way relative frequency tables
8
Statistics and Probability
Math.CC.8.SP.A.4
Two-way relative frequency tables
https://www.khanacademy.org/e/two-way-relative-frequency-tables
Practice creating two-way relative frequency tables from a two-way frequency table.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Subtract polynomials (intro)
https://www.khanacademy.org/e/subtract-polynomials
Example: Evaluate (4x²-3) - (3x³-3x+2).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply monomials by polynomials: area model
https://www.khanacademy.org/e/multiply-monomials-by-polynomials-intuition
Use area to understand how to multiply monomials by polynomials.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Add & subtract polynomials
https://www.khanacademy.org/e/add---subtract-polynomials-challenge
Example:Â Subtract -2x²+4x-1 from 6x²+3x-9.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply monomials by polynomials
https://www.khanacademy.org/e/finding-the-product-of-a-monomial-and-a-polynomial
Use the distributive property to express the product of a monomial and a polynomial as a single polynomial.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply monomials
https://www.khanacademy.org/e/multiply-monomials-challenge
More challenging multiplying monomial problems like find the area or find missing values to make an equation true.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply binomials by polynomials
https://www.khanacademy.org/e/multiplying_polynomials
Use the distributive property to express the product of a binomial and a polynomial as a single polynomial.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Add polynomials (intro)
https://www.khanacademy.org/e/adding_and_subtracting_polynomials
Example: Add (2x²-3) and (7x³-4x+1).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply binomials
https://www.khanacademy.org/e/multiply-binomials-coefficient
Multiply binomials of the form (ax + b).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Add & subtract polynomials: two variables
https://www.khanacademy.org/e/add---subtract-polynomials--two-variables-challenge
Example: Subtract a+4a²b²-2b from -3a+5a^2b²+2b.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Special products of binomials intro
https://www.khanacademy.org/e/multiplying_expressions_1
Find perfect squares of the forms (x+a)² and (x-a)², and differences of squares of the form (x+a)(x-a).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply binomials intro
https://www.khanacademy.org/e/multiplying_expressions_0.5
Use the distributive property to express the product of two binomials as a single polynomial.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply monomials by polynomials challenge
https://www.khanacademy.org/e/multiply-monomials-by-polynomials-challenge
Example: Find the values of the variables to make the following equation true -11(y²-cy+2) = dyÂ+33y-f.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Add & subtract polynomials: two variables (intro)
https://www.khanacademy.org/e/adding-and-subtracting-polynomials-2
Example: Subtract (x²+2xy-y) and (3x+5xy+2y²).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Add & subtract polynomials: find the error
https://www.khanacademy.org/e/add---subtract-polynomials--find-the-error
Choose which step an error was made in adding or subtracting polynomials.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Special products of binomials
https://www.khanacademy.org/e/finding-special-products
Find special products (perfect squares and difference of squares) of "advanced" binomials: binomials with leading coefficients other than 1; binomials with higher degrees; and binomials with two variables.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.A.1
Multiply monomials intro
https://www.khanacademy.org/e/finding-the-product-of-two-monomials
Express the product of two monomial expressions as a single monomial
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.B.2
Use the Polynomial Remainder Theorem
https://www.khanacademy.org/e/remainder-theorem-of-polynomials
Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.B.3
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.B.3
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.B.3
Positive & negative intervals of polynomials
https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials
Given a polynomial, determine the intervals in which it is positive or negative.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.C.4
Prove polynomial identities
https://www.khanacademy.org/e/polynomial-identities
Determine whether given polynomial identities are true, and whether given proofs of such identities are valid.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.C.5
Expand binomials
https://www.khanacademy.org/e/binomial-theorem
Use the binomial theorem in order to expand integer powers of binomial expressions.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.6
Simplify rational expressions (advanced)
https://www.khanacademy.org/e/simplifying_rational_expressions_3
Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.6
Divide polynomials with remainders: monomial divisors
https://www.khanacademy.org/e/divide-polynomials-by-monomials
Rewrite expressions of the form a(x)/b(x), where a is a polynomial b is a monomial, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.6
Divide polynomials with remainders
https://www.khanacademy.org/e/dividing-polynomials-with-remainders
Rewrite expressions of the form a(x)/b(x), where a and b are polynomials, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.6
Divide polynomials with remainders: binomial divisors
https://www.khanacademy.org/e/divide-polynomials-by-binomials
Rewrite expressions of the form a(x)/b(x), where a is a polynomial b is a linear binomial, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.6
Simplify rational expressions: common monomial factors
https://www.khanacademy.org/e/simplifying_rational_expressions_1
Factor the numerator and the denominator of a rational expression and cancel out common monomial factors.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.6
Simplify rational expressions: common binomial factors
https://www.khanacademy.org/e/simplifying_rational_expressions_2
Factor the numerator and the denominator of a rational expression and cancel out common binomial terms.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Add & subtract rational expressions: unlike denominators
https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions_2
Add and subtract rational expressions with relatively prime denominators by manipulating them to have the same denominators.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Multiply & divide rational expressions
https://www.khanacademy.org/e/multiplying_and_dividing_rational_expressions_2
Example: Multiply and simplify (a²-4)/(a²-1) X (a+1)/(a+2).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Add & subtract rational expressions
https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions_5
Example: Subtract and simplify (a-2)/(a+2) - (a-3)/(a²+4a+4).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Nested fractions
https://www.khanacademy.org/e/nested-fractions
Simplify rational expressions that contain rational expressions within their numerators or denominators.
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Multiply & divide rational expressions (advanced)
https://www.khanacademy.org/e/multiplying_and_dividing_rational_expressions_3
Example: Multiply and simplify (3x²y)/(2ab) X (14a²b)/(18xy²).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Add & subtract rational expressions: factored denominators
https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions_3
Example: Add and simplify x/(2x+1)(x-7) + 2x²/(2x-3)(x-7).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Add & subtract rational expressions: like denominators
https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions
Example: Add and simplify 6/(2x²-7) + (-3x-8)/(2x²-7).
HS
Arithmetic with Polynomials and Rational Expressions
Math.CC.HSA-APR.D.7
Multiply & divide rational expressions (basic)
https://www.khanacademy.org/e/multiplying_and_dividing_rational_expressions_1
Example: Multiply and simplify (6x³/5)*(2/3x).
HS
Creating Equations
Math.CC.HSA-CED.A.1
Equations & inequalities word problems
https://www.khanacademy.org/e/modeling-with-one-variable-equations-and-inequalities
Construct an equation or an inequality that model a given context. Modeling expressions can be quadratic, rational, or exponential.
HS
Creating Equations
Math.CC.HSA-CED.A.1
Multiple units word problems
https://www.khanacademy.org/e/units
Solve word problems that contain multiple quantities that are measured in different units.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Systems of equations word problems
https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems
Solve word problems by modeling them into a system of equations and solving it.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Graphing linear functions word problems
https://www.khanacademy.org/e/graphing-linear-functions-word-problems
Graph the line that represents a real-world relationship that is given verbally.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Age word problems
https://www.khanacademy.org/e/age_word_problems
Solve age word problems with a system of equations.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Construct exponential models
https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Systems of equations word problems capstone
https://www.khanacademy.org/e/systems-of-equations-word-problems-capstone
Solve word problems that involve systems of equations, where there can either be a single solution, no solution, or infinite solutions.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Modeling with sinusoidal functions
https://www.khanacademy.org/e/modeling-with-periodic-functions
Given the description of a real-world relationship, find the sinusoidal function that models it.
HS
Creating Equations
Math.CC.HSA-CED.A.2
Writing linear functions word problems
https://www.khanacademy.org/e/constructing-linear-functions-word-problems
Find a linear function that represents a real-world relationship that is given verbally.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Solutions of systems of inequalities
https://www.khanacademy.org/e/checking-solutions-to-systems-of-inequalities
Check whether an ordered pair is a solution of a system of two-variable linear inequalities.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Solutions of inequalities: graphical
https://www.khanacademy.org/e/graphically-check-solutions-to-inequalities
Given the graph of a two-variable linear inequality, check whether a given pair of values is a solution of the inequality.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Systems of equations word problems capstone
https://www.khanacademy.org/e/systems-of-equations-word-problems-capstone
Solve word problems that involve systems of equations, where there can either be a single solution, no solution, or infinite solutions.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Systems of inequalities word problems
https://www.khanacademy.org/e/modeling-systems-of-linear-inequalities
Solve word problems that involve systems of linear inequalities.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Constraint solutions of two-variable inequalities
https://www.khanacademy.org/e/graphing_inequalities
Find the range of values of one variable that corresponds to a given value of the other variable in a linear inequality.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Solutions of inequalities: algebraic
https://www.khanacademy.org/e/checking-solutions-to-two-var-inequalities
Given a two-variable linear inequality, check whether a given pair of values is a solution of the inequality.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Two-variable inequalities word problems
https://www.khanacademy.org/e/modeling-constraints
Solve word problems that involve linear inequalities in two variables.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Constraint solutions of systems of inequalities
https://www.khanacademy.org/e/graphing_systems_of_inequalities
Find the range of values of one variable that corresponds to a given value of the other variable in a system of two-variable linear inequalities.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Systems of equations word problems
https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems
Solve word problems by modeling them into a system of equations and solving it.
HS
Creating Equations
Math.CC.HSA-CED.A.3
Age word problems
https://www.khanacademy.org/e/age_word_problems
Solve age word problems with a system of equations.
HS
Creating Equations
Math.CC.HSA-CED.A.4
Manipulate formulas
https://www.khanacademy.org/e/manipulating-formulas
Solve multi-variable formulas for a specific variable in order to solve some word problems.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.A.1
Coming Soon
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.A.2
Solve square-root equations
https://www.khanacademy.org/e/solve-square-root-equations-advanced
Solve square-root equations by first arranging them and then taking the square of both sides.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.A.2
Extraneous solutions of radical equations
https://www.khanacademy.org/e/extraneous-solutions-to-radical-equations
Practice some problems that involve thinking about the conditions for obtaining extraneous solutions while solving radical equations.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.A.2
Equations with one rational expression
https://www.khanacademy.org/e/linear_equations_4
Solve equations that have one rational expression whose numerator and denominator are linear expressions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.A.2
Solve square-root equations (basic)
https://www.khanacademy.org/e/solve-square-root-equations-basic
Solve square-root equations by taking the square of both sides.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.A.2
Equations with two rational expressions
https://www.khanacademy.org/e/rational-equations-3
Solve advanced rational equations with multiple expressions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.A.2
Equations with one rational expression (advanced)
https://www.khanacademy.org/e/solving_rational_equations_2
Solve equations that have one rational expression whose numerator and denominator are polynomial expressions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.3
Compound inequalities
https://www.khanacademy.org/e/compound_inequalities
Solve compound linear inequalities. For example, solve 5z+7<27 OR -3z¤18.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.3
Linear equations with unknown coefficients
https://www.khanacademy.org/e/solving_for_a_variable
Solve a linear equation where the coefficients are represented by letters.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.3
Multi-step linear inequalities
https://www.khanacademy.org/e/linear_inequalities
Solve linear inequalities that take multiple steps to solve.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Solve quadratic equations: complex solutions
https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions
Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by taking square roots
https://www.khanacademy.org/e/solving_quadratics_by_taking_the_square_root
Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Number of solutions of quadratic equations
https://www.khanacademy.org/e/determine-the-number-of-solutions-of-a-quadratic-equation
Analyze quadratic equations in order to determine how many different real number solutions they have.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by taking square roots: strategy
https://www.khanacademy.org/e/understanding-the-equation-solving-process
Analyze the process of solving a quadratic equation by taking the square root.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratic formula
https://www.khanacademy.org/e/quadratic_equation
Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratic formula
https://www.khanacademy.org/e/quadratic_equation
Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Solve quadratic equations: complex solutions
https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions
Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by taking square roots
https://www.khanacademy.org/e/solving_quadratics_by_taking_the_square_root
Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Number of solutions of quadratic equations
https://www.khanacademy.org/e/determine-the-number-of-solutions-of-a-quadratic-equation
Analyze quadratic equations in order to determine how many different real number solutions they have.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by taking square roots: strategy
https://www.khanacademy.org/e/understanding-the-equation-solving-process
Analyze the process of solving a quadratic equation by taking the square root.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratic formula
https://www.khanacademy.org/e/quadratic_equation
Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by taking square roots: strategy
https://www.khanacademy.org/e/understanding-the-equation-solving-process
Analyze the process of solving a quadratic equation by taking the square root.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Number of solutions of quadratic equations
https://www.khanacademy.org/e/determine-the-number-of-solutions-of-a-quadratic-equation
Analyze quadratic equations in order to determine how many different real number solutions they have.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Quadratics by taking square roots
https://www.khanacademy.org/e/solving_quadratics_by_taking_the_square_root
Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Solve quadratic equations: complex solutions
https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions
Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.B.4
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.5
Equivalent systems of equations
https://www.khanacademy.org/e/understanding-solution-methods-to-systems-of-equations
Determine whether a couple of given systems of equations are equivalent or not to a third given system.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Systems of equations with elimination
https://www.khanacademy.org/e/systems_of_equations_with_elimination_0.5
Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Systems of equations with elimination challenge
https://www.khanacademy.org/e/systems_of_equations_with_elimination
Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out).
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Systems of equations word problems capstone
https://www.khanacademy.org/e/systems-of-equations-word-problems-capstone
Solve word problems that involve systems of equations, where there can either be a single solution, no solution, or infinite solutions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Systems of equations with graphing
https://www.khanacademy.org/e/graphing_systems_of_equations
Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Solutions of systems of equations
https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations
Verify whether a given pair of values is a solution to a system of equations.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Age word problems
https://www.khanacademy.org/e/age_word_problems
Solve age word problems with a system of equations.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Systems of equations word problems
https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems
Solve word problems by modeling them into a system of equations and solving it.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Linear systems of equations capstone
https://www.khanacademy.org/e/systems_of_equations
Solve systems of equations with any number of solutions using any solution method.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.6
Systems of equations with substitution
https://www.khanacademy.org/e/systems_of_equations_with_substitution
Solve systems of equations where one of the equations is solved for one of the variables.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.7
Coming Soon
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.8
Represent linear systems with matrices
https://www.khanacademy.org/e/represent-systems-with-matrices
Determine the matrix that represents a given system of linear equations.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.8
Represent linear systems with matrix equations
https://www.khanacademy.org/e/writing-systems-of-equations-as-matrix-equations
Represent systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.8
Matrix row operations
https://www.khanacademy.org/e/perform-elementary-matrix-row-operations
Determine the matrix that is the result of performing a specific row operation on a given matrix.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.9
Determine invertible matrices
https://www.khanacademy.org/e/determine-invertibile-2x2-matrices
Given a 2x2 matrix, determine whether it has an inverse.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.9
Find the inverse of a 2x2 matrix
https://www.khanacademy.org/e/matrix_inverse_2x2
Find the inverse matrix of a given 2x2 matrix.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.C.9
Determine inverse matrices
https://www.khanacademy.org/e/determine-inverse-matrices
Given a pair of matrices, determine whether they are inverses of each other.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.10
Solutions to 2-variable equations
https://www.khanacademy.org/e/plugging_in_values
Determine which ordered pairs are solutions to equations.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.10
Number of solutions to a system of equations graphically
https://www.khanacademy.org/e/graphical-solutions-to-systems
Determine the number of solutions of a given system of equations by considering its graph.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.10
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.10
Complete solutions to 2-variable equations
https://www.khanacademy.org/e/graphing-solutions-to-two-variable-linear-equations
Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.10
Number of solutions to a system of equations algebraically
https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system
Determine the number of solutions of a given system of equations by considering its algebraic solution process.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.10
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.11
Systems of equations with graphing
https://www.khanacademy.org/e/graphing_systems_of_equations
Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.11
Interpret equations graphically
https://www.khanacademy.org/e/systems-of-nonlinear-equations
Practice the connection between the graphical representation of equations and their algebraic solutions.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.11
Solutions of systems of equations
https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations
Verify whether a given pair of values is a solution to a system of equations.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.11
Number of solutions to a system of equations graphically
https://www.khanacademy.org/e/graphical-solutions-to-systems
Determine the number of solutions of a given system of equations by considering its graph.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.11
Solve equations graphically
https://www.khanacademy.org/e/intersecting-functions
Solve advanced and complicated equations using the power of graphs.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.11
Number of solutions to a system of equations algebraically
https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system
Determine the number of solutions of a given system of equations by considering its algebraic solution process.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.12
Two-variable inequalities from their graphs
https://www.khanacademy.org/e/graphs_of_inequalities
Fit an algebraic two-variable inequality to its appropriate graph.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.12
Systems of inequalities graphs
https://www.khanacademy.org/e/graphing_systems_of_inequalities_2
Find the graph that represents the solution to a system of inequalities.
HS
Reasoning with Equations and Inequalities
Math.CC.HSA-REI.D.12
Graphs of inequalities
https://www.khanacademy.org/e/graphing_inequalities_2
Graph two-variable linear inequalities.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Analyzing structure with linear inequalities
https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems
Given some information about a real-world context, analyze expressions containing unknown variables that model that context.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Multiply monomials
https://www.khanacademy.org/e/multiply-monomials-challenge
More challenging multiplying monomial problems like find the area or find missing values to make an equation true.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Analyzing structure with linear inequalities
https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems
Given some information about a real-world context, analyze expressions containing unknown variables that model that context.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Multiply monomials
https://www.khanacademy.org/e/multiply-monomials-challenge
More challenging multiplying monomial problems like find the area or find missing values to make an equation true.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Analyzing structure with linear inequalities
https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems
Given some information about a real-world context, analyze expressions containing unknown variables that model that context.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Multiply monomials
https://www.khanacademy.org/e/multiply-monomials-challenge
More challenging multiplying monomial problems like find the area or find missing values to make an equation true.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.1
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Factoring polynomials challenge
https://www.khanacademy.org/e/advanced-structure-in-expressions
Review your skills for using the structure of expressions with some challenge problems.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Difference of squares
https://www.khanacademy.org/e/factoring_difference_of_squares_2
Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Evaluate expressions using structure
https://www.khanacademy.org/e/expressions_with_unknown_variables
Given some information about several unknown variables, evaluate an expression containing those variables.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.A.2
Manipulate expressions using structure
https://www.khanacademy.org/e/structure-in-expressions-1
Rewrite an expression containing two unknown variables by using a given equation that contains those variables.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Convert linear equations to standard form
https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form
Convert linear equations in various forms into standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Linear systems of equations capstone
https://www.khanacademy.org/e/systems_of_equations
Solve systems of equations with any number of solutions using any solution method.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Rewrite exponential expressions
https://www.khanacademy.org/e/rewrite-exponential-expressions
Rewrite a given exponential expression in a specific desired form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Equivalent forms of exponential expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents
Determine whether pairs of exponential expressions are equivalent.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions: strategy
https://www.khanacademy.org/e/identifying-and-using-quadratic-forms
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor quadratics by grouping
https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1
Factor quadratics of the form ax²+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions
https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Analyzing structure with linear inequalities
https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems
Given some information about a real-world context, analyze expressions containing unknown variables that model that context.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factoring quadratics intro
https://www.khanacademy.org/e/factoring_polynomials_1
Factor quadratics of the form x²+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Equivalent forms of exponential expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents
Determine whether pairs of exponential expressions are equivalent.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Rewrite exponential expressions
https://www.khanacademy.org/e/rewrite-exponential-expressions
Rewrite a given exponential expression in a specific desired form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Linear systems of equations capstone
https://www.khanacademy.org/e/systems_of_equations
Solve systems of equations with any number of solutions using any solution method.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Convert linear equations to standard form
https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form
Convert linear equations in various forms into standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor quadratics by grouping
https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1
Factor quadratics of the form ax²+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions
https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Analyzing structure with linear inequalities
https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems
Given some information about a real-world context, analyze expressions containing unknown variables that model that context.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factoring quadratics intro
https://www.khanacademy.org/e/factoring_polynomials_1
Factor quadratics of the form x²+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions
https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor quadratics by grouping
https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1
Factor quadratics of the form ax²+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Convert linear equations to standard form
https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form
Convert linear equations in various forms into standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Linear systems of equations capstone
https://www.khanacademy.org/e/systems_of_equations
Solve systems of equations with any number of solutions using any solution method.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Rewrite exponential expressions
https://www.khanacademy.org/e/rewrite-exponential-expressions
Rewrite a given exponential expression in a specific desired form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Equivalent forms of exponential expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents
Determine whether pairs of exponential expressions are equivalent.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions: strategy
https://www.khanacademy.org/e/identifying-and-using-quadratic-forms
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions: strategy
https://www.khanacademy.org/e/identifying-and-using-quadratic-forms
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factoring quadratics intro
https://www.khanacademy.org/e/factoring_polynomials_1
Factor quadratics of the form x^2+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Analyzing structure with linear inequalities
https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems
Given some information about a real-world context, analyze expressions containing unknown variables that model that context.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions
https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor quadratics by grouping
https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1
Factor quadratics of the form ax²+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Convert linear equations to standard form
https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form
Convert linear equations in various forms into standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Linear systems of equations capstone
https://www.khanacademy.org/e/systems_of_equations
Solve systems of equations with any number of solutions using any solution method.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Rewrite exponential expressions
https://www.khanacademy.org/e/rewrite-exponential-expressions
Rewrite a given exponential expression in a specific desired form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Equivalent forms of exponential expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents
Determine whether pairs of exponential expressions are equivalent.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Features of quadratic functions: strategy
https://www.khanacademy.org/e/identifying-and-using-quadratic-forms
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Analyzing structure with linear inequalities
https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems
Given some information about a real-world context, analyze expressions containing unknown variables that model that context.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factoring quadratics intro
https://www.khanacademy.org/e/factoring_polynomials_1
Factor quadratics of the form x²+bx+c.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.3
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.4
Finite geometric series in sigma notation
https://www.khanacademy.org/e/writing-finite-geometric-series-in-sigma-notation
Practice writing finite geometric series like 3 + 6 + 12 + 24 in sigma notation.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.4
Finite geometric series
https://www.khanacademy.org/e/geometric-series--1
Evaluate finite geometric series given in sigma notation, recursively, or explicitly.
HS
Seeing Structure in Expressions
Math.CC.HSA-SSE.B.4
Finite geometric series word problems
https://www.khanacademy.org/e/geometric-series
Understanding and solving problems with the formula for a finite geometric series
HS
Building Functions
Math.CC.HSF-BF.A.1
Construct exponential models
https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with composite functions
https://www.khanacademy.org/e/modeling-with-composite-functions
Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Writing linear functions word problems
https://www.khanacademy.org/e/constructing-linear-functions-word-problems
Find a linear function that represents a real-world relationship that is given verbally.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with function combination
https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations
Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Modeling with sinusoidal functions
https://www.khanacademy.org/e/modeling-with-periodic-functions
Given the description of a real-world relationship, find the sinusoidal function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.1
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Building Functions
Math.CC.HSF-BF.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Building Functions
Math.CC.HSF-BF.A.1
Construct exponential models
https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with composite functions
https://www.khanacademy.org/e/modeling-with-composite-functions
Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Writing linear functions word problems
https://www.khanacademy.org/e/constructing-linear-functions-word-problems
Find a linear function that represents a real-world relationship that is given verbally.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with function combination
https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations
Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Writing linear functions word problems
https://www.khanacademy.org/e/constructing-linear-functions-word-problems
Find a linear function that represents a real-world relationship that is given verbally.
HS
Building Functions
Math.CC.HSF-BF.A.1
Modeling with sinusoidal functions
https://www.khanacademy.org/e/modeling-with-periodic-functions
Given the description of a real-world relationship, find the sinusoidal function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.1
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Building Functions
Math.CC.HSF-BF.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Building Functions
Math.CC.HSF-BF.A.1
Construct exponential models
https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with composite functions
https://www.khanacademy.org/e/modeling-with-composite-functions
Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Building Functions
Math.CC.HSF-BF.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with function combination
https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations
Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Modeling with sinusoidal functions
https://www.khanacademy.org/e/modeling-with-periodic-functions
Given the description of a real-world relationship, find the sinusoidal function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.1
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Building Functions
Math.CC.HSF-BF.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Building Functions
Math.CC.HSF-BF.A.1
Construct exponential models
https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with composite functions
https://www.khanacademy.org/e/modeling-with-composite-functions
Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Writing linear functions word problems
https://www.khanacademy.org/e/constructing-linear-functions-word-problems
Find a linear function that represents a real-world relationship that is given verbally.
HS
Building Functions
Math.CC.HSF-BF.A.1
Model with function combination
https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations
Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.
HS
Building Functions
Math.CC.HSF-BF.A.1
Modeling with sinusoidal functions
https://www.khanacademy.org/e/modeling-with-periodic-functions
Given the description of a real-world relationship, find the sinusoidal function that models it.
HS
Building Functions
Math.CC.HSF-BF.A.2
Converting recursive & explicit forms of arithmetic sequences
https://www.khanacademy.org/e/explicit-and-recursive-formulas-of-arithmetic-sequences
Given the explicit formula of an arithmetic sequence, find its recursive formula, and vice versa.
HS
Building Functions
Math.CC.HSF-BF.A.2
Explicit formulas for geometric sequences
https://www.khanacademy.org/e/sequences-as-functions
Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence.
HS
Building Functions
Math.CC.HSF-BF.A.2
Explicit formulas for arithmetic sequences
https://www.khanacademy.org/e/explicit-formulas-for-arithmetic-sequences
Solve problems such as: The first four terms in an arithmetic sequence are 12, 5, -2, and -9. Find an explicit formula for the sequence.
HS
Building Functions
Math.CC.HSF-BF.A.2
Converting recursive & explicit forms of geometric sequences
https://www.khanacademy.org/e/explicit-and-recursive-formulas-of-geometric-sequences
Given the explicit formula of a geometric sequence, find its recursive formula, and vice versa.
HS
Building Functions
Math.CC.HSF-BF.A.2
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Building Functions
Math.CC.HSF-BF.A.2
Recursive formulas for geometric sequences
https://www.khanacademy.org/e/recursive-formulas-for-geometric-sequences
Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula.
HS
Building Functions
Math.CC.HSF-BF.A.2
Recursive formulas for arithmetic sequences
https://www.khanacademy.org/e/recursive-formulas-for-arithmetic-sequences
Find the recursive formula of an arithmetic sequence given the first few terms.
HS
Building Functions
Math.CC.HSF-BF.B.3
Even & odd functions
https://www.khanacademy.org/e/even_and_odd_functions
Given the graph of a function, determine if it's even, odd, or neither.
HS
Building Functions
Math.CC.HSF-BF.B.3
Shift functions
https://www.khanacademy.org/e/shift-functions
Shift functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts.
HS
Building Functions
Math.CC.HSF-BF.B.3
Construct sinusoidal functions
https://www.khanacademy.org/e/construct-sinusoidal-functions
Given a few features of a sinusoidal function, find its formula.
HS
Building Functions
Math.CC.HSF-BF.B.3
Radical functions & their graphs
https://www.khanacademy.org/e/graphs-of-radical-functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
HS
Building Functions
Math.CC.HSF-BF.B.3
Graphs of logarithmic functions
https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms
Graph logarithmic functions and find the appropriate graph given the function.
HS
Building Functions
Math.CC.HSF-BF.B.3
Graph sinusoidal functions
https://www.khanacademy.org/e/graphs_of_sine_and_cosine
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
HS
Building Functions
Math.CC.HSF-BF.B.3
Even & odd polynomials
https://www.khanacademy.org/e/determine-if-a-polynomial-is-even-or-odd
Given the formula of a polynomial function, determine whether that function is even, odd, or neither.
HS
Building Functions
Math.CC.HSF-BF.B.3
Graphs of exponential functions
https://www.khanacademy.org/e/graphs-of-exponential-functions
Graph exponential functions and find the appropriate graph given the function.
HS
Building Functions
Math.CC.HSF-BF.B.3
Transforming functions
https://www.khanacademy.org/e/shifting_and_reflecting_functions
Given the graphs of functions f and g where g is a transformation of f, determine the formula of g in terms of f.
HS
Building Functions
Math.CC.HSF-BF.B.4
Determine if a function is invertible
https://www.khanacademy.org/e/inverse-domain-range
Given the table of values of a function, determine whether it is invertible or not.
HS
Building Functions
Math.CC.HSF-BF.B.4
Evaluate inverse functions
https://www.khanacademy.org/e/understanding-inverse-functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.
HS
Building Functions
Math.CC.HSF-BF.B.4
Verify inverse functions
https://www.khanacademy.org/e/inverses_of_functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
HS
Building Functions
Math.CC.HSF-BF.B.4
Restrict domains of functions to make them invertible
https://www.khanacademy.org/e/restrict-the-domains-of-functions
Given the graph of a function, find ways to restrict its domain in order to make it invertible.
HS
Building Functions
Math.CC.HSF-BF.B.4
Find inverse functions
https://www.khanacademy.org/e/algebraically-finding-inverses
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.
HS
Building Functions
Math.CC.HSF-BF.B.4
Verify inverse functions
https://www.khanacademy.org/e/inverses_of_functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
HS
Building Functions
Math.CC.HSF-BF.B.4
Determine if a function is invertible
https://www.khanacademy.org/e/inverse-domain-range
Given the table of values of a function, determine whether it is invertible or not.
HS
Building Functions
Math.CC.HSF-BF.B.4
Find inverse functions
https://www.khanacademy.org/e/algebraically-finding-inverses
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.
HS
Building Functions
Math.CC.HSF-BF.B.4
Restrict domains of functions to make them invertible
https://www.khanacademy.org/e/restrict-the-domains-of-functions
Given the graph of a function, find ways to restrict its domain in order to make it invertible.
HS
Building Functions
Math.CC.HSF-BF.B.4
Verify inverse functions
https://www.khanacademy.org/e/inverses_of_functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
HS
Building Functions
Math.CC.HSF-BF.B.4
Restrict domains of functions to make them invertible
https://www.khanacademy.org/e/restrict-the-domains-of-functions
Given the graph of a function, find ways to restrict its domain in order to make it invertible.
HS
Building Functions
Math.CC.HSF-BF.B.4
Verify inverse functions
https://www.khanacademy.org/e/inverses_of_functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
HS
Building Functions
Math.CC.HSF-BF.B.4
Find inverse functions
https://www.khanacademy.org/e/algebraically-finding-inverses
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.
HS
Building Functions
Math.CC.HSF-BF.B.4
Determine if a function is invertible
https://www.khanacademy.org/e/inverse-domain-range
Given the table of values of a function, determine whether it is invertible or not.
HS
Building Functions
Math.CC.HSF-BF.B.4
Evaluate inverse functions
https://www.khanacademy.org/e/understanding-inverse-functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.
HS
Building Functions
Math.CC.HSF-BF.B.4
Verify inverse functions
https://www.khanacademy.org/e/inverses_of_functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
HS
Building Functions
Math.CC.HSF-BF.B.4
Restrict domains of functions to make them invertible
https://www.khanacademy.org/e/restrict-the-domains-of-functions
Given the graph of a function, find ways to restrict its domain in order to make it invertible.
HS
Building Functions
Math.CC.HSF-BF.B.4
Find inverse functions
https://www.khanacademy.org/e/algebraically-finding-inverses
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.
HS
Building Functions
Math.CC.HSF-BF.B.4
Determine if a function is invertible
https://www.khanacademy.org/e/inverse-domain-range
Given the table of values of a function, determine whether it is invertible or not.
HS
Building Functions
Math.CC.HSF-BF.B.4
Evaluate inverse functions
https://www.khanacademy.org/e/understanding-inverse-functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.
HS
Building Functions
Math.CC.HSF-BF.B.4
Restrict domains of functions to make them invertible
https://www.khanacademy.org/e/restrict-the-domains-of-functions
Given the graph of a function, find ways to restrict its domain in order to make it invertible.
HS
Building Functions
Math.CC.HSF-BF.B.4
Find inverse functions
https://www.khanacademy.org/e/algebraically-finding-inverses
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.
HS
Building Functions
Math.CC.HSF-BF.B.4
Determine if a function is invertible
https://www.khanacademy.org/e/inverse-domain-range
Given the table of values of a function, determine whether it is invertible or not.
HS
Building Functions
Math.CC.HSF-BF.B.4
Evaluate inverse functions
https://www.khanacademy.org/e/understanding-inverse-functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.
HS
Building Functions
Math.CC.HSF-BF.B.4
Evaluate inverse functions
https://www.khanacademy.org/e/understanding-inverse-functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.
HS
Building Functions
Math.CC.HSF-BF.B.5
Relationship between exponentials & logarithms
https://www.khanacademy.org/e/understanding-logs-as-inverse-exponentials
Solve various problems that focus on the relationship between a^x=b and log_a(b)=x.
HS
Building Functions
Math.CC.HSF-BF.B.5
Evaluate logarithms
https://www.khanacademy.org/e/logarithms_1
Evaluate basic logarithmic expressions by using the fact that a^x=b is equivalent to log_a(b)=x.
HS
Building Functions
Math.CC.HSF-BF.B.5
Evaluate logarithms (advanced)
https://www.khanacademy.org/e/logarithms_1.5
Evaluate advanced logarithmic expressions by using the fact that a^x=b is equivalent to log_a(b)=x.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Function inputs & outputs: graph
https://www.khanacademy.org/e/match-inputs-to-outputs-from-a-graph
Find all the inputs that correspond to a given function output, using the function's graph.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Function inputs & outputs: equation
https://www.khanacademy.org/e/functions_matching_inputs_outputs
Find all the inputs that correspond to a given function output, using the function's formula.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Function rules from equations
https://www.khanacademy.org/e/functions-from-equations
Create functions that match one variable to the other in a two-variable equation.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Recognize functions from tables
https://www.khanacademy.org/e/recognizing_functions
Determine whether a table of values of a relationship represents a function.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Domain of advanced functions
https://www.khanacademy.org/e/domain_of_a_function
Determine the domain of functions whose expressions are a combination of different types of assignment rules.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Recognize functions from graphs
https://www.khanacademy.org/e/recog-func-2
Determine whether a given graph represents a function.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Domain of advanced piecewise functions
https://www.khanacademy.org/e/determine-the-domain-of-advanced-piecewise-functions
Determine the domain of piecewise functions whose assignment rules have different expression types.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Range of quadratic functions
https://www.khanacademy.org/e/range_of_a_function
Given the equation of a quadratic function, determine its range.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Evaluate functions from their graph
https://www.khanacademy.org/e/evaluate-functions-from-their-graph
Evaluate functions for specific inputs given the graph of the function.
HS
Interpreting Functions
Math.CC.HSF-IF.A.1
Evaluate function expressions
https://www.khanacademy.org/e/functions_2
Evaluate expressions that contain function notation, given the functions' graphs.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Evaluate sequences in recursive form
https://www.khanacademy.org/e/evaluating-sequences-in-recursive-form
Find the first few terms of sequences that are defined recursively.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Function inputs & outputs: equation
https://www.khanacademy.org/e/functions_matching_inputs_outputs
Find all the inputs that correspond to a given function output, using the function's formula.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Evaluate step functions
https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph
Given the graph of a step function, find the function's outputs for given specific inputs.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Use arithmetic sequence formulas
https://www.khanacademy.org/e/arithmetic_sequences_2
Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Function notation word problems
https://www.khanacademy.org/e/function-notation-in-context
Interpret expressions with function notation in terms of the context that the function models.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Evaluate functions from their graph
https://www.khanacademy.org/e/evaluate-functions-from-their-graph
Evaluate functions for specific inputs given the graph of the function.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Evaluate piecewise functions
https://www.khanacademy.org/e/evaluating-piecewise-functions
Given the formula of a piecewise function, evaluate it for a specific input.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Use geometric sequence formulas
https://www.khanacademy.org/e/geometric_sequences_2
Given the formula of a geometric sequence, either in explicit form or in recursive form, find a specific term in the sequence.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Function inputs & outputs: graph
https://www.khanacademy.org/e/match-inputs-to-outputs-from-a-graph
Find all the inputs that correspond to a given function output, using the function's graph.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Evaluate function expressions
https://www.khanacademy.org/e/functions_2
Evaluate expressions that contain function notation, given the functions' graphs.
HS
Interpreting Functions
Math.CC.HSF-IF.A.2
Evaluate functions
https://www.khanacademy.org/e/functions_1
Evaluate functions for specific inputs given the formula of the function.
HS
Interpreting Functions
Math.CC.HSF-IF.A.3
Extend geometric sequences
https://www.khanacademy.org/e/geometric_sequences_1
Given the first few terms in a geometric sequence, find the next term in the sequence.
HS
Interpreting Functions
Math.CC.HSF-IF.A.3
Extend geometric sequences: negatives & fractions
https://www.khanacademy.org/e/extend-geometric-sequences-negatives-fractions
Find the next term in a geometric sequence. The problems in this quiz involve relatively difficult calculations.
HS
Interpreting Functions
Math.CC.HSF-IF.A.3
Use arithmetic sequence formulas
https://www.khanacademy.org/e/arithmetic_sequences_2
Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence.
HS
Interpreting Functions
Math.CC.HSF-IF.A.3
Use geometric sequence formulas
https://www.khanacademy.org/e/geometric_sequences_2
Given the formula of a geometric sequence, either in explicit form or in recursive form, find a specific term in the sequence.
HS
Interpreting Functions
Math.CC.HSF-IF.A.3
Extend arithmetic sequences
https://www.khanacademy.org/e/arithmetic_sequences_1
Given the first few terms in an arithmetic sequence, find the next term in the sequence.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
Graph interpretation word problems
https://www.khanacademy.org/e/interpret-features-func-2
Match features of graphs of modeling functions to their real-world meaning.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
End behavior of algebraic models
https://www.khanacademy.org/e/recog-features-func-2
Given the graph that models a real world context, answer a question about the end behavior of the graph.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
Linear equations word problems: graphs
https://www.khanacademy.org/e/interpreting-linear-graphs
Solve word problems about real world relationships that are given in graphs.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
Comparing linear functions word problem
https://www.khanacademy.org/e/comparing-features-of-functions-1
Compare features of two real-world relationships that can be modeled by linear functions, where the functions are represented in different ways.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
Periodicity of algebraic models
https://www.khanacademy.org/e/interpret-the-periodicity-of-modeling-functions
Given the graph that models a real world context, answer a question about the periodicity of the graph.
HS
Interpreting Functions
Math.CC.HSF-IF.B.4
Linear equations word problems: tables
https://www.khanacademy.org/e/interpreting-tables
Solve word problems about real world relationships that are given in tables.
HS
Interpreting Functions
Math.CC.HSF-IF.B.5
Determine the domain of functions
https://www.khanacademy.org/e/domain-of-algebraic-functions
Determine the domain of a function according to the algebraic limitations of that function.
HS
Interpreting Functions
Math.CC.HSF-IF.B.5
Function domain word problems
https://www.khanacademy.org/e/interpreting-domain
Use information about a situation to figure out the domain of the function which models it.
HS
Interpreting Functions
Math.CC.HSF-IF.B.5
Domain and range from graph
https://www.khanacademy.org/e/domain_and_range_0.5
Given the graph of a function, determine its domain or range.
HS
Interpreting Functions
Math.CC.HSF-IF.B.6
Average rate of change word problems
https://www.khanacademy.org/e/average-rate-of-change-word-problems
Find and represent the average rate of change of a real-world relationship.
HS
Interpreting Functions
Math.CC.HSF-IF.B.6
Average rate of change: graphs & tables
https://www.khanacademy.org/e/avg-rate-of-change-graphs-tables
Find a function's average rate of change over a specific interval, given the function's graph or a table of values.
HS
Interpreting Functions
Math.CC.HSF-IF.B.6
Average rate of change
https://www.khanacademy.org/e/avg-rate-of-change
Find the average rate of change of a function over a given interval.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive & negative intervals of polynomials
https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials
Given a polynomial, determine the intervals in which it is positive or negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Increasing and decreasing intervals
https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in factored form
https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form
Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Radical functions & their graphs
https://www.khanacademy.org/e/graphs-of-radical-functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a table
https://www.khanacademy.org/e/intercepts-from-table
Find the intercepts of a line given a table of values.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from equation
https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive and negative intervals
https://www.khanacademy.org/e/positive_and_negative_parts_of_functions
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from equation
https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from graph
https://www.khanacademy.org/e/amplitude-of-trig-functions
Given the graph of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph sinusoidal functions
https://www.khanacademy.org/e/graphs_of_sine_and_cosine
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Analyze vertical asymptotes of rational functions
https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from two points
https://www.khanacademy.org/e/slope-from-two-points
Find the slope of the line that goes through the two points that are given to you.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph absolute value functions
https://www.khanacademy.org/e/graphs-of-absolute-value-functions
Graph absolute value functions like f(x)=|x+3|+2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Absolute maxima and minima
https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima
Given the graph of a function, find its absolute maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing linear functions word problems
https://www.khanacademy.org/e/graphing-linear-functions-word-problems
Graph the line that represents a real-world relationship that is given verbally.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate piecewise functions
https://www.khanacademy.org/e/evaluating-piecewise-functions
Given the formula of a piecewise function, evaluate it for a specific input.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Horizontal & vertical lines
https://www.khanacademy.org/e/horizontal-and-vertical-lines
Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Piecewise functions graphs
https://www.khanacademy.org/e/piecewise-graphs-linear
Match the formula of a piecewise function to its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from graph
https://www.khanacademy.org/e/midline-of-trig-functions
Given the graph of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in factored form
https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form
Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Radical functions & their graphs
https://www.khanacademy.org/e/graphs-of-radical-functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a table
https://www.khanacademy.org/e/intercepts-from-table
Find the intercepts of a line given a table of values.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from equation
https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive and negative intervals
https://www.khanacademy.org/e/positive_and_negative_parts_of_functions
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from equation
https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from graph
https://www.khanacademy.org/e/amplitude-of-trig-functions
Given the graph of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph sinusoidal functions
https://www.khanacademy.org/e/graphs_of_sine_and_cosine
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Analyze vertical asymptotes of rational functions
https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive & negative intervals of polynomials
https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials
Given a polynomial, determine the intervals in which it is positive or negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from two points
https://www.khanacademy.org/e/slope-from-two-points
Find the slope of the line that goes through the two points that are given to you.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph absolute value functions
https://www.khanacademy.org/e/graphs-of-absolute-value-functions
Graph absolute value functions like f(x)=|x+3|+2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Absolute maxima and minima
https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima
Given the graph of a function, find its absolute maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing linear functions word problems
https://www.khanacademy.org/e/graphing-linear-functions-word-problems
Graph the line that represents a real-world relationship that is given verbally.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate piecewise functions
https://www.khanacademy.org/e/evaluating-piecewise-functions
Given the formula of a piecewise function, evaluate it for a specific input.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Horizontal & vertical lines
https://www.khanacademy.org/e/horizontal-and-vertical-lines
Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Piecewise functions graphs
https://www.khanacademy.org/e/piecewise-graphs-linear
Match the formula of a piecewise function to its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from graph
https://www.khanacademy.org/e/midline-of-trig-functions
Given the graph of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Relative maxima and minima
https://www.khanacademy.org/e/recognize-maxima-and-minima
Given the graph of a function, find all of its relative maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Horizontal & vertical lines
https://www.khanacademy.org/e/horizontal-and-vertical-lines
Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate step functions
https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph
Given the graph of a step function, find the function's outputs for given specific inputs.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Increasing and decreasing intervals
https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Rational function points of discontinuity
https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of logarithmic functions
https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms
Graph logarithmic functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of rational functions
https://www.khanacademy.org/e/end-behavior-of-rational-functions
Given a rational function, determine how it behaves as x approaches +∞ or -∞.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of polynomials
https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of exponential functions
https://www.khanacademy.org/e/graphs-of-exponential-functions
Graph exponential functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Relative maxima and minima
https://www.khanacademy.org/e/recognize-maxima-and-minima
Given the graph of a function, find all of its relative maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in vertex form
https://www.khanacademy.org/e/graphing_parabolas_1
Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of rational functions
https://www.khanacademy.org/e/graphs-of-rational-functions
Determine which of four graphs fits the formula of a given function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from linear standard form
https://www.khanacademy.org/e/graph-from-standard-form-equation
Find the graph of a linear equation given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from graph
https://www.khanacademy.org/e/period-of-trig-functions
Given the graph of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing exponential growth & decay
https://www.khanacademy.org/e/graphs-of-basic-exponential-functions
Graph exponential functions of the basic form f(x)=.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from equation
https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of nonlinear piecewise functions
https://www.khanacademy.org/e/graphing-piecewise-functions
Given the graph of a nonlinear piecewise function, find its formula.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of rational functions
https://www.khanacademy.org/e/graphs-of-rational-functions
Determine which of four graphs fits the formula of a given function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from graph
https://www.khanacademy.org/e/amplitude-of-trig-functions
Given the graph of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from equation
https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive and negative intervals
https://www.khanacademy.org/e/positive_and_negative_parts_of_functions
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from equation
https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a table
https://www.khanacademy.org/e/intercepts-from-table
Find the intercepts of a line given a table of values.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Radical functions & their graphs
https://www.khanacademy.org/e/graphs-of-radical-functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in factored form
https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form
Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive & negative intervals of polynomials
https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials
Given a polynomial, determine the intervals in which it is positive or negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of nonlinear piecewise functions
https://www.khanacademy.org/e/graphing-piecewise-functions
Given the graph of a nonlinear piecewise function, find its formula.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from equation
https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing exponential growth & decay
https://www.khanacademy.org/e/graphs-of-basic-exponential-functions
Graph exponential functions of the basic form f(x)=.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from graph
https://www.khanacademy.org/e/period-of-trig-functions
Given the graph of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from linear standard form
https://www.khanacademy.org/e/graph-from-standard-form-equation
Find the graph of a linear equation given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph sinusoidal functions
https://www.khanacademy.org/e/graphs_of_sine_and_cosine
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in vertex form
https://www.khanacademy.org/e/graphing_parabolas_1
Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate step functions
https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph
Given the graph of a step function, find the function's outputs for given specific inputs.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of exponential functions
https://www.khanacademy.org/e/graphs-of-exponential-functions
Graph exponential functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of polynomials
https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of rational functions
https://www.khanacademy.org/e/end-behavior-of-rational-functions
Given a rational function, determine how it behaves as x approaches +∞ or -∞.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of logarithmic functions
https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms
Graph logarithmic functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Rational function points of discontinuity
https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Increasing and decreasing intervals
https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Relative maxima and minima
https://www.khanacademy.org/e/recognize-maxima-and-minima
Given the graph of a function, find all of its relative maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from graph
https://www.khanacademy.org/e/midline-of-trig-functions
Given the graph of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Piecewise functions graphs
https://www.khanacademy.org/e/piecewise-graphs-linear
Match the formula of a piecewise function to its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of nonlinear piecewise functions
https://www.khanacademy.org/e/graphing-piecewise-functions
Given the graph of a nonlinear piecewise function, find its formula.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from equation
https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing exponential growth & decay
https://www.khanacademy.org/e/graphs-of-basic-exponential-functions
Graph exponential functions of the basic form f(x)=.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from graph
https://www.khanacademy.org/e/period-of-trig-functions
Given the graph of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from linear standard form
https://www.khanacademy.org/e/graph-from-standard-form-equation
Find the graph of a linear equation given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of rational functions
https://www.khanacademy.org/e/graphs-of-rational-functions
Determine which of four graphs fits the formula of a given function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in vertex form
https://www.khanacademy.org/e/graphing_parabolas_1
Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate step functions
https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph
Given the graph of a step function, find the function's outputs for given specific inputs.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of exponential functions
https://www.khanacademy.org/e/graphs-of-exponential-functions
Graph exponential functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of polynomials
https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of rational functions
https://www.khanacademy.org/e/end-behavior-of-rational-functions
Given a rational function, determine how it behaves as x approaches +∞ or -∞.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of logarithmic functions
https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms
Graph logarithmic functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Rational function points of discontinuity
https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Increasing and decreasing intervals
https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Relative maxima and minima
https://www.khanacademy.org/e/recognize-maxima-and-minima
Given the graph of a function, find all of its relative maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from graph
https://www.khanacademy.org/e/midline-of-trig-functions
Given the graph of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Piecewise functions graphs
https://www.khanacademy.org/e/piecewise-graphs-linear
Match the formula of a piecewise function to its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Horizontal & vertical lines
https://www.khanacademy.org/e/horizontal-and-vertical-lines
Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate piecewise functions
https://www.khanacademy.org/e/evaluating-piecewise-functions
Given the formula of a piecewise function, evaluate it for a specific input.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing linear functions word problems
https://www.khanacademy.org/e/graphing-linear-functions-word-problems
Graph the line that represents a real-world relationship that is given verbally.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Absolute maxima and minima
https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima
Given the graph of a function, find its absolute maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph absolute value functions
https://www.khanacademy.org/e/graphs-of-absolute-value-functions
Graph absolute value functions like f(x)=|x+3|+2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from two points
https://www.khanacademy.org/e/slope-from-two-points
Find the slope of the line that goes through the two points that are given to you.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Analyze vertical asymptotes of rational functions
https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Absolute maxima and minima
https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima
Given the graph of a function, find its absolute maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from two points
https://www.khanacademy.org/e/slope-from-two-points
Find the slope of the line that goes through the two points that are given to you.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph absolute value functions
https://www.khanacademy.org/e/graphs-of-absolute-value-functions
Graph absolute value functions like f(x)=|x+3|+2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Absolute maxima and minima
https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima
Given the graph of a function, find its absolute maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing linear functions word problems
https://www.khanacademy.org/e/graphing-linear-functions-word-problems
Graph the line that represents a real-world relationship that is given verbally.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate piecewise functions
https://www.khanacademy.org/e/evaluating-piecewise-functions
Given the formula of a piecewise function, evaluate it for a specific input.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Rational function points of discontinuity
https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Increasing and decreasing intervals
https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Relative maxima and minima
https://www.khanacademy.org/e/recognize-maxima-and-minima
Given the graph of a function, find all of its relative maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from graph
https://www.khanacademy.org/e/midline-of-trig-functions
Given the graph of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Piecewise functions graphs
https://www.khanacademy.org/e/piecewise-graphs-linear
Match the formula of a piecewise function to its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Horizontal & vertical lines
https://www.khanacademy.org/e/horizontal-and-vertical-lines
Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate piecewise functions
https://www.khanacademy.org/e/evaluating-piecewise-functions
Given the formula of a piecewise function, evaluate it for a specific input.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing linear functions word problems
https://www.khanacademy.org/e/graphing-linear-functions-word-problems
Graph the line that represents a real-world relationship that is given verbally.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph absolute value functions
https://www.khanacademy.org/e/graphs-of-absolute-value-functions
Graph absolute value functions like f(x)=|x+3|+2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from two points
https://www.khanacademy.org/e/slope-from-two-points
Find the slope of the line that goes through the two points that are given to you.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Analyze vertical asymptotes of rational functions
https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph sinusoidal functions
https://www.khanacademy.org/e/graphs_of_sine_and_cosine
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from graph
https://www.khanacademy.org/e/amplitude-of-trig-functions
Given the graph of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from equation
https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive and negative intervals
https://www.khanacademy.org/e/positive_and_negative_parts_of_functions
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from equation
https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a table
https://www.khanacademy.org/e/intercepts-from-table
Find the intercepts of a line given a table of values.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Radical functions & their graphs
https://www.khanacademy.org/e/graphs-of-radical-functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in factored form
https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form
Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive & negative intervals of polynomials
https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials
Given a polynomial, determine the intervals in which it is positive or negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of nonlinear piecewise functions
https://www.khanacademy.org/e/graphing-piecewise-functions
Given the graph of a nonlinear piecewise function, find its formula.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of logarithmic functions
https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms
Graph logarithmic functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of rational functions
https://www.khanacademy.org/e/end-behavior-of-rational-functions
Given a rational function, determine how it behaves as x approaches +∞ or -∞.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of polynomials
https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of exponential functions
https://www.khanacademy.org/e/graphs-of-exponential-functions
Graph exponential functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate step functions
https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph
Given the graph of a step function, find the function's outputs for given specific inputs.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in vertex form
https://www.khanacademy.org/e/graphing_parabolas_1
Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of rational functions
https://www.khanacademy.org/e/graphs-of-rational-functions
Determine which of four graphs fits the formula of a given function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from linear standard form
https://www.khanacademy.org/e/graph-from-standard-form-equation
Find the graph of a linear equation given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from graph
https://www.khanacademy.org/e/period-of-trig-functions
Given the graph of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing exponential growth & decay
https://www.khanacademy.org/e/graphs-of-basic-exponential-functions
Graph exponential functions of the basic form f(x)=
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from equation
https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Rational function points of discontinuity
https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive & negative intervals of polynomials
https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials
Given a polynomial, determine the intervals in which it is positive or negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in factored form
https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form
Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Radical functions & their graphs
https://www.khanacademy.org/e/graphs-of-radical-functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a table
https://www.khanacademy.org/e/intercepts-from-table
Find the intercepts of a line given a table of values.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from equation
https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive and negative intervals
https://www.khanacademy.org/e/positive_and_negative_parts_of_functions
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from equation
https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from graph
https://www.khanacademy.org/e/amplitude-of-trig-functions
Given the graph of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph sinusoidal functions
https://www.khanacademy.org/e/graphs_of_sine_and_cosine
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Analyze vertical asymptotes of rational functions
https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from equation
https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in standard form
https://www.khanacademy.org/e/graphing_parabolas_0.5
Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Analyze vertical asymptotes of rational functions
https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph sinusoidal functions
https://www.khanacademy.org/e/graphs_of_sine_and_cosine
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from graph
https://www.khanacademy.org/e/amplitude-of-trig-functions
Given the graph of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from equation
https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive and negative intervals
https://www.khanacademy.org/e/positive_and_negative_parts_of_functions
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Amplitude of sinusoidal functions from equation
https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its amplitude.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a table
https://www.khanacademy.org/e/intercepts-from-table
Find the intercepts of a line given a table of values.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Radical functions & their graphs
https://www.khanacademy.org/e/graphs-of-radical-functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in factored form
https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form
Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Positive & negative intervals of polynomials
https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials
Given a polynomial, determine the intervals in which it is positive or negative.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of nonlinear piecewise functions
https://www.khanacademy.org/e/graphing-piecewise-functions
Given the graph of a nonlinear piecewise function, find its formula.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from an equation
https://www.khanacademy.org/e/solving_for_the_x-intercept
Solve linear equations for the x-intercept and y-intercept
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing exponential growth & decay
https://www.khanacademy.org/e/graphs-of-basic-exponential-functions
Graph exponential functions of the basic form f(x)=.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from graph
https://www.khanacademy.org/e/period-of-trig-functions
Given the graph of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from linear standard form
https://www.khanacademy.org/e/graph-from-standard-form-equation
Find the graph of a linear equation given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of rational functions
https://www.khanacademy.org/e/graphs-of-rational-functions
Determine which of four graphs fits the formula of a given function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in vertex form
https://www.khanacademy.org/e/graphing_parabolas_1
Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate step functions
https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph
Given the graph of a step function, find the function's outputs for given specific inputs.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of exponential functions
https://www.khanacademy.org/e/graphs-of-exponential-functions
Graph exponential functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of polynomials
https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of rational functions
https://www.khanacademy.org/e/end-behavior-of-rational-functions
Given a rational function, determine how it behaves as x approaches +∞ or -∞.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of logarithmic functions
https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms
Graph logarithmic functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from two points
https://www.khanacademy.org/e/slope-from-two-points
Find the slope of the line that goes through the two points that are given to you.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from slope-intercept form
https://www.khanacademy.org/e/graph-from-slope-intercept-equation
Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of nonlinear piecewise functions
https://www.khanacademy.org/e/graphing-piecewise-functions
Given the graph of a nonlinear piecewise function, find its formula.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from equation
https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula
Given the formula of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing exponential growth & decay
https://www.khanacademy.org/e/graphs-of-basic-exponential-functions
Graph exponential functions of the basic form f(x)=.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Period of sinusoidal functions from graph
https://www.khanacademy.org/e/period-of-trig-functions
Given the graph of a sinusoidal function, determine its period.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph from linear standard form
https://www.khanacademy.org/e/graph-from-standard-form-equation
Find the graph of a linear equation given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of rational functions
https://www.khanacademy.org/e/graphs-of-rational-functions
Determine which of four graphs fits the formula of a given function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph quadratics in vertex form
https://www.khanacademy.org/e/graphing_parabolas_1
Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate step functions
https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph
Given the graph of a step function, find the function's outputs for given specific inputs.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of exponential functions
https://www.khanacademy.org/e/graphs-of-exponential-functions
Graph exponential functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Intercepts from a graph
https://www.khanacademy.org/e/linear-function-intercepts
Look at the graph of an equation to find x-intercepts and y-intercepts
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph parabolas in all forms
https://www.khanacademy.org/e/graphing_parabolas_2
Graph quadratic functions given in any form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of polynomials
https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
End behavior of rational functions
https://www.khanacademy.org/e/end-behavior-of-rational-functions
Given a rational function, determine how it behaves as x approaches +∞ or -∞.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graph absolute value functions
https://www.khanacademy.org/e/graphs-of-absolute-value-functions
Graph absolute value functions like f(x)=|x+3|+2.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Absolute maxima and minima
https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima
Given the graph of a function, find its absolute maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphing linear functions word problems
https://www.khanacademy.org/e/graphing-linear-functions-word-problems
Graph the line that represents a real-world relationship that is given verbally.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Evaluate piecewise functions
https://www.khanacademy.org/e/evaluating-piecewise-functions
Given the formula of a piecewise function, evaluate it for a specific input.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Horizontal & vertical lines
https://www.khanacademy.org/e/horizontal-and-vertical-lines
Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Midline of sinusoidal functions from graph
https://www.khanacademy.org/e/midline-of-trig-functions
Given the graph of a sinusoidal function, determine its midline equation.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Relative maxima and minima
https://www.khanacademy.org/e/recognize-maxima-and-minima
Given the graph of a function, find all of its relative maximum and minimum points.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Increasing and decreasing intervals
https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Rational function points of discontinuity
https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Graphs of logarithmic functions
https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms
Graph logarithmic functions and find the appropriate graph given the function.
HS
Interpreting Functions
Math.CC.HSF-IF.C.7
Piecewise functions graphs
https://www.khanacademy.org/e/piecewise-graphs-linear
Match the formula of a piecewise function to its graph.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Features of quadratic functions: strategy
https://www.khanacademy.org/e/identifying-and-using-quadratic-forms
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor quadratics by grouping
https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1
Factor quadratics of the form ax²+bx+c.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Features of quadratic functions: strategy
https://www.khanacademy.org/e/identifying-and-using-quadratic-forms
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Difference of squares
https://www.khanacademy.org/e/factoring_difference_of_squares_2
Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factoring quadratics intro
https://www.khanacademy.org/e/factoring_polynomials_1
Factor quadratics of the form x²+bx+c.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Features of quadratic functions
https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Convert linear equations to standard form
https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form
Convert linear equations in various forms into standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Equivalent forms of exponential expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents
Determine whether pairs of exponential expressions are equivalent.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factoring quadratics intro
https://www.khanacademy.org/e/factoring_polynomials_1
Factor quadratics of the form x²+bx+c.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor quadratics by grouping
https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1
Factor quadratics of the form ax²+bx+c.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Features of quadratic functions
https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Convert linear equations to standard form
https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form
Convert linear equations in various forms into standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Difference of squares
https://www.khanacademy.org/e/factoring_difference_of_squares_2
Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Equivalent forms of exponential expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents
Determine whether pairs of exponential expressions are equivalent.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Rewrite exponential expressions
https://www.khanacademy.org/e/rewrite-exponential-expressions
Rewrite a given exponential expression in a specific desired form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Slope from equation
https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form
Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor monomials
https://www.khanacademy.org/e/factoring-monomials
Factor monomials as products of smaller monomials.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: common factor
https://www.khanacademy.org/e/factoring-polynomials
Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Zeros of polynomials & their graphs
https://www.khanacademy.org/e/using-zeros-to-graph-polynomials
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Perfect squares
https://www.khanacademy.org/e/factoring-perfect-squares
Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Difference of squares
https://www.khanacademy.org/e/factoring_difference_of_squares_2
Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factoring quadratics intro
https://www.khanacademy.org/e/factoring_polynomials_1
Factor quadratics of the form x²+bx+c.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor quadratics by grouping
https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1
Factor quadratics of the form ax²+bx+c.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Features of quadratic functions
https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square (intermediate)
https://www.khanacademy.org/e/completing_the_square_1
Solve quadratic equations of the form x^2+bx+c by completing the square.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Convert linear equations to standard form
https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form
Convert linear equations in various forms into standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: special product forms
https://www.khanacademy.org/e/factoring_difference_of_squares_3
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratic word problems (standard form)
https://www.khanacademy.org/e/key-features-quadratics
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Difference of squares intro
https://www.khanacademy.org/e/factoring_difference_of_squares_1
Factor quadratic expressions into the special products of the general form (x+a)(x-a).
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square
https://www.khanacademy.org/e/completing_the_square_2
Solve quadratic equations of the form ax^2+bx+c by completing the square.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: quadratic methods
https://www.khanacademy.org/e/factoring_polynomials_2
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Rewrite exponential expressions
https://www.khanacademy.org/e/rewrite-exponential-expressions
Rewrite a given exponential expression in a specific desired form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratics by factoring
https://www.khanacademy.org/e/solving_quadratics_by_factoring_2
Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Equivalent forms of exponential expressions
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents
Determine whether pairs of exponential expressions are equivalent.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Factor polynomials: quadratic methods (challenge)
https://www.khanacademy.org/e/factoring_polynomials_with_two_variables
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Quadratics by factoring (intro)
https://www.khanacademy.org/e/solving_quadratics_by_factoring
Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Completing the square (intro)
https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions
Practice the method of completing the square with quadratic expressions.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Solve equations using structure
https://www.khanacademy.org/e/solving-quadratics-by-using-structure
Solve advanced equations by strategically using quadratic factorization methods.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Find zeros of polynomials
https://www.khanacademy.org/e/find-the-zeros-of-polynomials
Use various methods in order to find all the zeros of polynomial expressions or functions.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Features of quadratic functions: strategy
https://www.khanacademy.org/e/identifying-and-using-quadratic-forms
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.
HS
Interpreting Functions
Math.CC.HSF-IF.C.8
Rewrite exponential expressions
https://www.khanacademy.org/e/rewrite-exponential-expressions
Rewrite a given exponential expression in a specific desired form.
HS
Interpreting Functions
Math.CC.HSF-IF.C.9
Compare features of functions
https://www.khanacademy.org/e/comparing-features-of-functions-2
Compare various features between two functions, each represented in a different way.
HS
Interpreting Functions
Math.CC.HSF-IF.C.9
Comparing linear functions word problem
https://www.khanacademy.org/e/comparing-features-of-functions-1
Compare features of two real-world relationships that can be modeled by linear functions, where the functions are represented in different ways.
HS
Interpreting Functions
Math.CC.HSF-IF.C.9
Compare linear functions
https://www.khanacademy.org/e/comparing-features-of-functions-0-5
Compare features of two linear functions represented in different ways.
HS
Interpreting Functions
Math.CC.HSF-IF.C.9
Compare quadratic functions
https://www.khanacademy.org/e/compare-properties-quadratic-functions
Compare the properties of two quadratic functions, each represented in a different way.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Exponential vs. linear. models
https://www.khanacademy.org/e/understanding-linear-and-exponential-models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Linear vs. exponential growth: from data
https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables
Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Exponential vs. linear. models
https://www.khanacademy.org/e/understanding-linear-and-exponential-models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Linear vs. exponential growth: from data
https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables
Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Exponential vs. linear. models
https://www.khanacademy.org/e/understanding-linear-and-exponential-models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Linear vs. exponential growth: from data
https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables
Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Exponential vs. linear. models
https://www.khanacademy.org/e/understanding-linear-and-exponential-models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.1
Linear vs. exponential growth: from data
https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables
Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Slope-intercept equation from graph
https://www.khanacademy.org/e/slope-intercept-equation-from-graph
Practice finding the slope-intercept equation of a line from its graph.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Slope-intercept from two points
https://www.khanacademy.org/e/slope-intercept-equation-from-two-points
Practice finding the equation of a line passing through two points
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Linear equations in any form
https://www.khanacademy.org/e/writing-the-equation-of-a-line-in-any-form
You've had practice with a few different forms of linear equations. Now use your skills.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Explicit formulas for arithmetic sequences
https://www.khanacademy.org/e/explicit-formulas-for-arithmetic-sequences
Solve problems such as: The first four terms in an arithmetic sequence are 12, 5, -2, and -9. Find an explicit formula for the sequence.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Horizontal & vertical lines
https://www.khanacademy.org/e/horizontal-and-vertical-lines
Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Slope from graph
https://www.khanacademy.org/e/slope-from-a-graph
Find the slope of a line on the coordinate plane.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Exponential functions from tables & graphs
https://www.khanacademy.org/e/construct-basic-exponential-functions-from-table-or-graph
Write exponential functions of the basic form f(x)=a⋅rˣ, either when given a table with two input-output pairs, or when given the graph of the function.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Sequences word problems
https://www.khanacademy.org/e/recursive_explicit
Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Construct exponential models
https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Recursive formulas for arithmetic sequences
https://www.khanacademy.org/e/recursive-formulas-for-arithmetic-sequences
Find the recursive formula of an arithmetic sequence given the first few terms.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Recursive formulas for geometric sequences
https://www.khanacademy.org/e/recursive-formulas-for-geometric-sequences
Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Explicit formulas for geometric sequences
https://www.khanacademy.org/e/sequences-as-functions
Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Point-slope form
https://www.khanacademy.org/e/converting_between_point_slope_and_slope_intercept
Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Writing linear functions word problems
https://www.khanacademy.org/e/constructing-linear-functions-word-problems
Find a linear function that represents a real-world relationship that is given verbally.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.2
Slope-intercept intro
https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form
Practice your basic understanding of slope-intercept form for linear equations.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.3
Exponential vs. linear growth over time
https://www.khanacademy.org/e/comparing-growth-rates-of-exponentials-and-polynomials
Practice analyzing the end behavior of two functions that model similar real-world relationship, where one function is exponential and the other is polynomial.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.4
Solve exponential equations using logarithms: base-10 and base-e
https://www.khanacademy.org/e/using-logarithms-to-solve-exponential-equations
Solve exponential equations that have 10 or e at the base of the exponential term.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.4
Evaluate logarithms: change of base rule
https://www.khanacademy.org/e/evaluate-logarithms-using-the-change-of-base-rule
Evaluate any logarithm in a calculator with the use of the change of base formula. Example: Evaluate logâ‚…(100).
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.4
Solve exponential equations using logarithms: base-2 and other bases
https://www.khanacademy.org/e/solve-exponential-equations-using-logarithms-base-2
Solve exponential equations that have 2 or other numbers at the base of the exponential term.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.A.4
Exponential model word problems
https://www.khanacademy.org/e/exponential-models-word-problems
Solve word problems about exponential situations.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.B.5
Interpret change in exponential models
https://www.khanacademy.org/e/modeling-with-exponential-functions
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.B.5
Linear equations word problems
https://www.khanacademy.org/e/interpreting-features-of-linear-functions
Solve word problems about real world relationships that are given in formulas.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.B.5
Interpret change in exponential models: with manipulation
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.B.5
Comparing linear functions word problem
https://www.khanacademy.org/e/comparing-features-of-functions-1
Compare features of two real-world relationships that can be modeled by linear functions, where the functions are represented in different ways.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.B.5
Interpret change in exponential models: changing units
https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.B.5
Interpret time in exponential models
https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
HS
Linear Quadratic and Exponential Models
Math.CC.HSF-LE.B.5
Linear models word problems
https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions
Solve general word problems about real-world relationships that can be modeled by linear equations or functions.
HS
Trigonometric Functions
Math.CC.HSF-TF.A.1
Coming Soon
HS
Trigonometric Functions
Math.CC.HSF-TF.A.2
Coming Soon
HS
Trigonometric Functions
Math.CC.HSF-TF.A.3
Trig values of special angles
https://www.khanacademy.org/e/trigonometric-functions-of-special-angles
Find the sine and cosine of special angles, which are angles whose trig values we can determine without the use of a calculator.
HS
Trigonometric Functions
Math.CC.HSF-TF.A.4
Coming Soon
HS
Trigonometric Functions
Math.CC.HSF-TF.B.5
Modeling with sinusoidal functions: phase shift
https://www.khanacademy.org/e/modeling-with-periodic-functions-2
Given the description of a real-world relationship, find the sinusoidal function that models it. The functions in this exercise have a phase (horizontal) shift.
HS
Trigonometric Functions
Math.CC.HSF-TF.B.5
Modeling with sinusoidal functions
https://www.khanacademy.org/e/modeling-with-periodic-functions
Given the description of a real-world relationship, find the sinusoidal function that models it.
HS
Trigonometric Functions
Math.CC.HSF-TF.B.5
Construct sinusoidal functions
https://www.khanacademy.org/e/construct-sinusoidal-functions
Given a few features of a sinusoidal function, find its formula.
HS
Trigonometric Functions
Math.CC.HSF-TF.B.6
Evaluate inverse trig functions
https://www.khanacademy.org/e/inverse_trig_functions
Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value.
HS
Trigonometric Functions
Math.CC.HSF-TF.B.7
Solve sinusoidal equations (basic)
https://www.khanacademy.org/e/solve-basic-sinusoidal-equations
Solve equations of the form sin(x)=d or cos(x)=d where d is any number.
HS
Trigonometric Functions
Math.CC.HSF-TF.B.7
Evaluate inverse trig functions
https://www.khanacademy.org/e/inverse_trig_functions
Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value.
HS
Trigonometric Functions
Math.CC.HSF-TF.B.7
Sinusoidal models word problems
https://www.khanacademy.org/e/inverse-trig-word-problems
Solve word problems that involve real-world contexts that are modeled by sinusoidal functions.
HS
Trigonometric Functions
Math.CC.HSF-TF.B.7
Solve sinusoidal equations
https://www.khanacademy.org/e/solve-advanced-sinusoidal-equations
Solve equations of the form a*sin(bx+c)=d or a*cos(bx+c)=d where a, b, c, and d are any number.
HS
Trigonometric Functions
Math.CC.HSF-TF.C.8
Use the Pythagorean identity
https://www.khanacademy.org/e/circles-and-pythagorean-identities
Given the sine (or cosine) of an angle, find its cosine (or sine) using the Pythagorean identity.
HS
Trigonometric Functions
Math.CC.HSF-TF.C.9
Find trig values using angle addition identities
https://www.khanacademy.org/e/applying-angle-addition-formulas
Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles.
HS
Trigonometric Functions
Math.CC.HSF-TF.C.9
Using the trig angle addition identities
https://www.khanacademy.org/e/trig_addition_identities
Find the trig values of sums of angles whose individual trig values are known.
HS
Circles
Math.CC.HSG-C.A.1
Coming Soon
HS
Circles
Math.CC.HSG-C.A.2
Inscribed angles
https://www.khanacademy.org/e/inscribed_angles_1
Practice the relationship between inscribed & central angles that are subtended by the same arc length.
HS
Circles
Math.CC.HSG-C.A.2
Inscribed shapes
https://www.khanacademy.org/e/inscribed-angle-problem-solving
Find missing angles and lengths in inscribed shapes.
HS
Circles
Math.CC.HSG-C.A.2
Tangents of circles problems
https://www.khanacademy.org/e/central--inscribed--and-circumscribed-angles
Solve problems related to tangents of circles.
HS
Circles
Math.CC.HSG-C.A.3
Quiz: Inscribed quadrilaterals
https://www.khanacademy.org/e/inscribed-quadrilaterals
Use the fact that opposite angles in an inscribed quadrilateral are supplementary to solve a few problems.
HS
Circles
Math.CC.HSG-C.A.4
Coming Soon
HS
Circles
Math.CC.HSG-C.B.5
Radians & arc length
https://www.khanacademy.org/e/cc-radians-and-arc-length
Solve problems related to radians and arc length like finding an arc length given the central angle and radius.
HS
Circles
Math.CC.HSG-C.B.5
Arc measure
https://www.khanacademy.org/e/arc-measure
Use the fact that the arc measures of a circle must sum to 360 degrees to find missing arc measures.
HS
Circles
Math.CC.HSG-C.B.5
Arc length
https://www.khanacademy.org/e/arc-length-of-functions-in-one-variable
Relate the length of an arc to the circumference of a whole circle and the central angle subtended by the arc.
HS
Circles
Math.CC.HSG-C.B.5
Radians & degrees
https://www.khanacademy.org/e/degrees_to_radians
Convert angle measures given in degrees to radians and vice versa.
HS
Circles
Math.CC.HSG-C.B.5
Area of a sector
https://www.khanacademy.org/e/areas_of_circles_and_sectors
Relate the area of a sector to the area of a whole circle.
HS
Circles
Math.CC.HSG-C.B.5
Arc length
https://www.khanacademy.org/e/circles_and_arcs
Relate the length of an arc to the circumference of a whole circle and the central angle subtended by the arc.
HS
Circles
Math.CC.HSG-C.B.5
Arc measure with equations
https://www.khanacademy.org/e/arc-measure-with-equations
Use the fact that the arc measures of a circle must sum to 360 degrees to find missing arc measures by setting up equations.
HS
Congruence
Math.CC.HSG-CO.A.1
Geometric definitions
https://www.khanacademy.org/e/geometric-definitions
HS
Congruence
Math.CC.HSG-CO.A.2
Rigid transformations: preserved properties
https://www.khanacademy.org/e/transformation-preserved-properties
Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.
HS
Congruence
Math.CC.HSG-CO.A.2
Find measures using rigid transformations
https://www.khanacademy.org/e/find-measures-using-rigid-transformations
Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.
HS
Congruence
Math.CC.HSG-CO.A.2
Sequences of transformations
https://www.khanacademy.org/e/analyze-sequences-of-transformations
Given a description of a sequence of transformations, determine whether it preserves segment length or angle measure.
HS
Congruence
Math.CC.HSG-CO.A.2
Defining transformations
https://www.khanacademy.org/e/qualitatively-defining-rigid-transformations
Given a description of the effect of a transformation, determine which rigid transformation it is.
HS
Congruence
Math.CC.HSG-CO.A.3
Symmetry of 2D shapes
https://www.khanacademy.org/e/symmetry-of-two-dimensional-shapes
Analyze various shapes according to their reflective and rotational symmetries.
HS
Congruence
Math.CC.HSG-CO.A.4
Defining transformations
https://www.khanacademy.org/e/qualitatively-defining-rigid-transformations
Given a description of the effect of a transformation, determine which rigid transformation it is.
HS
Congruence
Math.CC.HSG-CO.A.4
Identify transformations
https://www.khanacademy.org/e/identify-transformations
Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.
HS
Congruence
Math.CC.HSG-CO.A.5
Reflect shapes
https://www.khanacademy.org/e/reflections-1
Given a figure and a definition of a reflection, manually draw the image.
HS
Congruence
Math.CC.HSG-CO.A.5
Rotate shapes
https://www.khanacademy.org/e/rotations-1
Given a figure on the coordinate plane and the definition of a rotation about the origin, manually draw the image of that rotation.
HS
Congruence
Math.CC.HSG-CO.A.5
Determine reflections (advanced)
https://www.khanacademy.org/e/defining-reflections
Given two figures on the coordinate plane, draw the line of reflection that takes one figure to another.
HS
Congruence
Math.CC.HSG-CO.A.5
Mapping shapes
https://www.khanacademy.org/e/mapping-shapes
Map a given shape into another using sequences of rigid transformations (translations, rotations, and/or reflections).
HS
Congruence
Math.CC.HSG-CO.A.5
Translate shapes
https://www.khanacademy.org/e/translations
Given a figure and a definition of a translation, manually draw the image.
HS
Congruence
Math.CC.HSG-CO.A.5
Advanced reflections
https://www.khanacademy.org/e/reflections-2
Find the reflection that maps a given figure to another and draw the image of a reflection. The lines of reflection in this exercise have a wide range of slopes.
HS
Congruence
Math.CC.HSG-CO.A.5
Rotate shapes: center ≠(0,0)
https://www.khanacademy.org/e/rotations-2
Given a figure on the coordinate plane and the definition of a rotation about an arbitrary point, manually draw the image of that rotation.
HS
Congruence
Math.CC.HSG-CO.A.5
Identify transformations
https://www.khanacademy.org/e/identify-transformations
Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.
HS
Congruence
Math.CC.HSG-CO.A.5
Reflect points
https://www.khanacademy.org/e/performing-reflections-on-the-coordinate-plane
Given a point and a definition of a reflection, plot the reflection on a coordinate plane or identify the coordinates of the reflected point.
HS
Congruence
Math.CC.HSG-CO.A.5
Determine reflections
https://www.khanacademy.org/e/determine-reflections
Given a shape and its image under a reflection, determine the line of reflection.
HS
Congruence
Math.CC.HSG-CO.A.5
Determine translations
https://www.khanacademy.org/e/defining-translations
Given two figures on the coordinate plane, find the formal definition of the translation that takes one figure to another.
HS
Congruence
Math.CC.HSG-CO.A.5
Translate points
https://www.khanacademy.org/e/performing-translations-on-the-coordinate-plane
Given a point and a definition of a translation, plot the translation on a coordinate plane or identify the coordinates of the translated point.
HS
Congruence
Math.CC.HSG-CO.A.5
Determine rotations
https://www.khanacademy.org/e/defining-rotations
Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other.
HS
Congruence
Math.CC.HSG-CO.B.6
Rigid transformations: preserved properties
https://www.khanacademy.org/e/transformation-preserved-properties
Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.
HS
Congruence
Math.CC.HSG-CO.B.6
Find measures using rigid transformations
https://www.khanacademy.org/e/find-measures-using-rigid-transformations
Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.
HS
Congruence
Math.CC.HSG-CO.B.6
Congruence & transformations
https://www.khanacademy.org/e/exploring-rigid-transformations-and-congruence
Given a pair of figures in the coordinate plane, try to map one onto the other and determine whether they are congruent.
HS
Congruence
Math.CC.HSG-CO.B.7
Coming Soon
HS
Congruence
Math.CC.HSG-CO.B.8
Coming Soon
HS
Congruence
Math.CC.HSG-CO.C.10
Coming Soon
HS
Congruence
Math.CC.HSG-CO.C.11
Coming Soon
HS
Congruence
Math.CC.HSG-CO.C.9
Proofs with transformations
https://www.khanacademy.org/e/line-and-angle-proofs
Explore different ways of proving some theorems about lines and angles. Some transformations are used.
HS
Congruence
Math.CC.HSG-CO.D.12
Coming Soon
HS
Congruence
Math.CC.HSG-CO.D.13
Coming Soon
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.A.1
Coming Soon
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.A.2
Coming Soon
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.A.3
Density word problems
https://www.khanacademy.org/e/surface-and-volume-density-word-problems
Solve problems concerning real-world situations using your knowledge of volume, surface area, and density.
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.A.3
Solid geometry
https://www.khanacademy.org/e/solid_geometry
Find volumes and surface areas of boxes, cylinders, & triangular prisms.
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.A.3
Solid geometry word problems
https://www.khanacademy.org/e/volume-word-problems-with-cones--cylinders--and-spheres
Solve problems concerning real-world situations with the volumes of cones, cylinders, and spheres.
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.B.4
Cross sections of 3D objects (basic)
https://www.khanacademy.org/e/slicing-3d-figures
Match 3D objects with their 2D cross-sections.
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.B.4
Cross sections of 3D objects
https://www.khanacademy.org/e/cross-sections-of-3d-shapes
Practice your knowledge of all possible cross-sections of common 3D objects.
HS
Geometric Measurement and Dimension
Math.CC.HSG-GMD.B.4
Rotate 2D shapes in 3D
https://www.khanacademy.org/e/rotate-2d-shapes-to-make-3d-objects
Practice your 3D visualization skills by rotating 2D shapes.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.1
Features of a circle from its expanded equation
https://www.khanacademy.org/e/equation_of_a_circle_2
Find the center and radius of a circle given the equation in expanded form.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.1
Write standard equation of a circle
https://www.khanacademy.org/e/write-the-equation-of-a-circle
Given the graph of a circle or its features, find its standard equation.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.1
Graph a circle from its expanded equation
https://www.khanacademy.org/e/graphing_circles_2
Given the expanded equation of a circle, graph the circle. For example, graph the circle whose equation is x²+y²+4x+8y+16=0.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.1
Graph a circle from its standard equation
https://www.khanacademy.org/e/graphing_circles
Given the standard form equation of a circle, graph the circle. For example, graph the circle who's equation is (x+5)²+(y+2)²=4.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.1
Features of a circle from its graph
https://www.khanacademy.org/e/find-the-features-of-a-circle-from-its-graph
Given the graph of a circle, find its center and radius.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.1
Features of a circle from its standard equation
https://www.khanacademy.org/e/equation_of_a_circle_1
Find the center and radius of a circle given the equation in standard form.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.1
Graph a circle from its features
https://www.khanacademy.org/e/graph-a-circle-according-to-its-features
Given information about the center and radius of a circle, graph it.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.2
Equation of a parabola from focus & directrix
https://www.khanacademy.org/e/equation-of-parabola-from-focus-and-directrix
Given the focus and the directrix of a parabola, find its equation.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Equation of a hyperbola from features
https://www.khanacademy.org/e/equation_of_a_hyperbola
Given some features of a hyperbola, find its equation.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Foci of a hyperbola from equation
https://www.khanacademy.org/e/foci-of-hyperbola-from-equation
Given the equation of a hyperbola, find its foci.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Center & radii of ellipses from equation
https://www.khanacademy.org/e/equation_of_an_ellipse
Find the center and major and minor radius of an ellipse given its equation.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Foci of an ellipse from equation
https://www.khanacademy.org/e/foci-of-ellipse-from-equation
Given the equation of an ellipse, find its foci.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Graph & features of ellipses
https://www.khanacademy.org/e/center-and-radii-of-an-ellipse-and-its-graph
Find the center and radii of an ellipse from its graph, and vice versa.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Equation of an ellipse from features
https://www.khanacademy.org/e/equation-of-ellipse-from-foci
Given the foci of an ellipse (and some other feature), find its equation.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Foci of an ellipse from radii
https://www.khanacademy.org/e/find-foci-of-ellipse-from-radii
Given the major and minor radii of an ellipse, find its foci.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Ellipse standard equation & graph
https://www.khanacademy.org/e/equation-of-an-ellipse-from-its-graph
Given the graph of an ellipse, find its equation, and vice versa.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.A.3
Vertices & direction of a hyperbola
https://www.khanacademy.org/e/vertices-and-direction-of-hyperbola
Given the equation of a hyperbola, find its graph by considering its vertices and direction.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.4
Points inside/outside/on a circle
https://www.khanacademy.org/e/geometry-problems-on-the-coordinate-plane
Given the center and radius of a circle, determine if a point is inside of the circle, on the circle, or outside of the circle
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.5
Write equations of parallel & perpendicular lines
https://www.khanacademy.org/e/writing-equations-for-parallel-or-perpendicular-lines
Write the equation for a line that is a parallel or perpendicular to a line given in slope-intercept form and goes through a specific point.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.5
Parallel & perpendicular lines from graph
https://www.khanacademy.org/e/classifying-lines-as-parallel--perpendicular--or-neither
Given points that two lines go through or the graph of each line, classify the lines as parallel, perpendicular, or neither.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.5
Parallel & perpendicular lines from equation
https://www.khanacademy.org/e/line_relationships
Use your knowledge about the slopes of parallel and perpendicular lines to solve some problems. For example, what's the equation of the line perpendicular to y=3x-3 and passes through the point (-8, -2).
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.6
Divide line segments
https://www.khanacademy.org/e/dividing-line-segments
Figure out the coordinates of a point between two other points that give a certain ratio. For example, find a point C so that it is two thirds of the way between point A and B.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.6
Midpoint formula
https://www.khanacademy.org/e/midpoint_formula
Find the midpoint of a segment on the coordinate plane, or find the endpoint of a segment given one point and the midpoint.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.7
Area & perimeter on the coordinate plane
https://www.khanacademy.org/e/find-area-and-perimeter-on-the-coordinate-plane
Find the area or perimeter of shapes like triangles, rectangles, parallelograms, and hexagons on the coordinate plane.
HS
Expressing Geometric Properties with Equations
Math.CC.HSG-GPE.B.7
Coordinate plane word problems: polygons
https://www.khanacademy.org/e/coordinate-plane-word-problems-with-polygons
Solve all sorts of word problems with crazy contexts that use polygons on the coordinate plane.
HS
Modeling with Geometry
Math.CC.HSG-MG.A.1
Solid geometry word problems
https://www.khanacademy.org/e/volume-word-problems-with-cones--cylinders--and-spheres
Solve problems concerning real-world situations with the volumes of cones, cylinders, and spheres.
HS
Modeling with Geometry
Math.CC.HSG-MG.A.2
Density word problems
https://www.khanacademy.org/e/surface-and-volume-density-word-problems
Solve problems concerning real-world situations using your knowledge of volume, surface area, and density.
HS
Modeling with Geometry
Math.CC.HSG-MG.A.3
Coming Soon
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilate triangles
https://www.khanacademy.org/e/dilations
Given a figure and a definition of a dilation, manually draw the image.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilate points
https://www.khanacademy.org/e/performing-dilations
Use the interactive transformation tool to perform dilations.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilations: scale factor
https://www.khanacademy.org/e/defining-dilations-2
Find both the center and the scale factor of a dilation that maps a given figure to another one.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilate triangles
https://www.khanacademy.org/e/dilations
Given a figure and a definition of a dilation, manually draw the image.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilate points
https://www.khanacademy.org/e/performing-dilations
Use the interactive transformation tool to perform dilations.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilations: scale factor
https://www.khanacademy.org/e/defining-dilations-2
Find both the center and the scale factor of a dilation that maps a given figure to another one.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilate triangles
https://www.khanacademy.org/e/dilations
Given a figure and a definition of a dilation, manually draw the image.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilate points
https://www.khanacademy.org/e/performing-dilations
Use the interactive transformation tool to perform dilations.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.1
Dilations: scale factor
https://www.khanacademy.org/e/defining-dilations-2
Find both the center and the scale factor of a dilation that maps a given figure to another one.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.2
Dilate triangles
https://www.khanacademy.org/e/dilations
Given a figure and a definition of a dilation, manually draw the image.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.2
Similarity & transformations
https://www.khanacademy.org/e/exploring-angle-preserving-transformations-and-similarity
Given two polygons, try to map one onto the other using angle-preserving transformations, and determine whether they are similar.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.2
Dilations: scale factor
https://www.khanacademy.org/e/defining-dilations-2
Find both the center and the scale factor of a dilation that maps a given figure to another one.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.A.3
Coming Soon
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.4
Coming Soon
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Find angles in isosceles triangles
https://www.khanacademy.org/e/find-angles-in-isosceles-triangles
Find missing angles in isosceles triangles given just one angle.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Use similar & congruent triangles
https://www.khanacademy.org/e/solving-problems-with-similar-and-congruent-triangles
Solve geometry problems with various polygons by using all you know about similarity and congruence.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Solve similar triangles (basic)
https://www.khanacademy.org/e/solving_similar_triangles_1
Given two similar triangles and some of their side lengths, find a missing side length.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Find angles in congruent triangles
https://www.khanacademy.org/e/congruent_triangles_2
Given two triangles, determine whether they are congruent and use that to find missing angle measures.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Determine similar triangles: SSS
https://www.khanacademy.org/e/similar_triangles_2
Given two triangles with some of their side measures, determine whether the triangles are similar or not.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Solve similar triangles (advanced)
https://www.khanacademy.org/e/solving_similar_triangles_2
Given two similar triangles and some of their side lengths, find a missing side length.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Solve triangles: angle bisector theorem
https://www.khanacademy.org/e/angle_bisector_theorem
Use the angle bisector theorem to find missing side lengths in triangles.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Determine similar triangles: AA
https://www.khanacademy.org/e/similar_triangles_1
Given two triangles with some of their angle measures, determine whether the triangles are similar or not.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.B.5
Determine congruent triangles
https://www.khanacademy.org/e/congruent_triangles_1
Use the triangle congruence criteria SSS, SAS, ASA, and AAS to determine that two triangles are congruent.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.6
DEPRECATED Trigonometry 1.5
https://www.khanacademy.org/e/trigonometry_1.5
We took this down because we now have better material for you to use instead!
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.6
Solve for a side in right triangles
https://www.khanacademy.org/e/trigonometry_2
Given one side length and an acute angle in a right triangle, find another side using trigonometry.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.6
Trigonometric ratios in right triangles
https://www.khanacademy.org/e/trigonometry_1
Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.6
DEPRECATED Trigonometry 0.5
https://www.khanacademy.org/e/trigonometry_0.5
We took this down because we now have better material for you to use instead!
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.6
Reciprocal trig ratios
https://www.khanacademy.org/e/reciprocal_trig_funcs
Understand the right triangle definition of sec, csc, and cot ratios.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.7
Coming Soon
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.8
Right triangle word problems
https://www.khanacademy.org/e/applying-right-triangles
Solve word problems by modeling real-world (and not-so-real) situations as right triangles and using trigonometry.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.8
Solve for a side in right triangles
https://www.khanacademy.org/e/trigonometry_2
Given one side length and an acute angle in a right triangle, find another side using trigonometry.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.8
Trigonometric ratios in right triangles
https://www.khanacademy.org/e/trigonometry_1
Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.8
Special right triangles
https://www.khanacademy.org/e/pythagorean_theorem_2
Use your knowledge of 30-60-90 and 45-45-90 triangles to solve some problems.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.C.8
Solve for an angle in right triangles
https://www.khanacademy.org/e/solve-for-an-angle-in-a-right-triangle
Given two sides in a right triangle, find one of the acute angles using trigonometry.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.D.10
Solve triangles using the law of sines
https://www.khanacademy.org/e/law_of_sines
Solve missing triangle measures using the law of sines.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.D.10
General triangle word problems
https://www.khanacademy.org/e/law-of-sines-and-cosines-word-problems
Solve word problems that involve general triangles using trigonometry.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.D.10
Solve triangles using the law of cosines
https://www.khanacademy.org/e/law_of_cosines
Solve missing triangle measures using the law of cosines.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.D.11
Solve triangles using the law of sines
https://www.khanacademy.org/e/law_of_sines
Solve missing triangle measures using the law of sines.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.D.11
General triangle word problems
https://www.khanacademy.org/e/law-of-sines-and-cosines-word-problems
Solve word problems that involve general triangles using trigonometry.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.D.11
Solve triangles using the law of cosines
https://www.khanacademy.org/e/law_of_cosines
Solve missing triangle measures using the law of cosines.
HS
Similarity Right Triangles and Trigonometry
Math.CC.HSG-SRT.D.9
Coming Soon
HS
The Complex Number System
Math.CC.HSN-CN.A.1
Simplify roots of negative numbers
https://www.khanacademy.org/e/simplify-square-roots-of-negative-numbers
Rewrite square roots of negative numbers as imaginary numbers.
HS
The Complex Number System
Math.CC.HSN-CN.A.1
Parts of complex numbers
https://www.khanacademy.org/e/real-and-imaginary-parts-of-complex-numbers
Determine the real and the imaginary parts of complex numbers
HS
The Complex Number System
Math.CC.HSN-CN.A.1
Classify complex numbers
https://www.khanacademy.org/e/the-imaginary-unit-and-complex-numbers
Classify numbers as real, pure imaginary, or complex.
HS
The Complex Number System
Math.CC.HSN-CN.A.2
Powers of the imaginary unit
https://www.khanacademy.org/e/imaginary_unit_powers
Simplify expressions with base i (the imaginary unit) raised to a positive exponent.
HS
The Complex Number System
Math.CC.HSN-CN.A.2
Multiply complex numbers (basic)
https://www.khanacademy.org/e/multiply-complex-numbers-by-real-or-imaginary-numbers
Multiply complex numbers by single terms that are either real or pure imaginary.
HS
The Complex Number System
Math.CC.HSN-CN.A.2
Multiply complex numbers
https://www.khanacademy.org/e/multiplying_complex_numbers
Given two complex numbers, find their product.
HS
The Complex Number System
Math.CC.HSN-CN.A.2
Add & subtract complex numbers
https://www.khanacademy.org/e/adding_and_subtracting_complex_numbers
Practice addition and subtraction with complex numbers.
HS
The Complex Number System
Math.CC.HSN-CN.A.3
Divide complex numbers
https://www.khanacademy.org/e/dividing_complex_numbers
Given a complex number division, express the result as a complex number of the form a+bi.
HS
The Complex Number System
Math.CC.HSN-CN.A.3
Complex number conjugates
https://www.khanacademy.org/e/find-conjugates-of-complex-numbers
Given a complex number, find its conjugate or plot it in the complex plane.
HS
The Complex Number System
Math.CC.HSN-CN.B.4
Graphically add & subtract complex numbers
https://www.khanacademy.org/e/complex_plane_operations
Add or subtract complex numbers, and plot the result in the complex plane.
HS
The Complex Number System
Math.CC.HSN-CN.B.4
Polar & rectangular forms of complex numbers
https://www.khanacademy.org/e/rectangular-and-polar-forms-of-complex-numbers
Given a complex number in rectangular form, write it in polar form. Given a complex number in polar form, write it in rectangular form.
HS
The Complex Number System
Math.CC.HSN-CN.B.4
Absolute value of complex numbers
https://www.khanacademy.org/e/absolute_value_of_complex_numbers
Given a complex number in the form a+bi, find its absolute value.
HS
The Complex Number System
Math.CC.HSN-CN.B.4
Plot numbers on the complex plane
https://www.khanacademy.org/e/the_complex_plane
Given a complex number, plot its corresponding point on the complex plane.
HS
The Complex Number System
Math.CC.HSN-CN.B.4
Complex numbers from absolute value & angle
https://www.khanacademy.org/e/find-complex-numbers-according-to-absolute-value-and-angle
Given the absolute value and the angle of a complex number, express the number in the form a+bi.
HS
The Complex Number System
Math.CC.HSN-CN.B.4
Angle of complex numbers
https://www.khanacademy.org/e/find-the-angle-of-complex-numbers
Given a complex number of the form a+bi, find its angle.
HS
The Complex Number System
Math.CC.HSN-CN.B.5
Complex number conjugates
https://www.khanacademy.org/e/find-conjugates-of-complex-numbers
Given a complex number, find its conjugate or plot it in the complex plane.
HS
The Complex Number System
Math.CC.HSN-CN.B.5
Graphically add & subtract complex numbers
https://www.khanacademy.org/e/complex_plane_operations
Add or subtract complex numbers, and plot the result in the complex plane.
HS
The Complex Number System
Math.CC.HSN-CN.B.5
Powers of complex numbers
https://www.khanacademy.org/e/powers_of_complex_numbers_1
Simplify a power of a complex number z^n, or solve an equation of the form z^n=k.
HS
The Complex Number System
Math.CC.HSN-CN.B.5
Multiply & divide complex numbers in polar form
https://www.khanacademy.org/e/multiplying_and_dividing_complex_number_polar_forms
Given two complex numbers in polar form, find their product or quotient.
HS
The Complex Number System
Math.CC.HSN-CN.B.6
Midpoint of complex numbers
https://www.khanacademy.org/e/find-the-midpoint-of-two-complex-numbers
Given two complex numbers (either algebraically or graphically), find their midpoint.
HS
The Complex Number System
Math.CC.HSN-CN.B.6
Distance of complex numbers
https://www.khanacademy.org/e/distance-and-midpoint-on-the-complex-plane
Given two complex numbers (either algebraically or graphically), find their distance.
HS
The Complex Number System
Math.CC.HSN-CN.C.7
Solve quadratic equations: complex solutions
https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions
Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.
HS
The Complex Number System
Math.CC.HSN-CN.C.8
Factor polynomials: complex numbers
https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-complex-numbers
Identify correctly factored forms of given polynomials. Factorizations may use complex numbers.
HS
The Complex Number System
Math.CC.HSN-CN.C.9
Coming Soon
HS
Quantities
Math.CC.HSN-Q.A.1
Interpret units in formulas
https://www.khanacademy.org/e/working-with-units
Determine the appropriate unit of a quantity based on a formula containing that quantity.
HS
Quantities
Math.CC.HSN-Q.A.1
Multiple units word problems
https://www.khanacademy.org/e/units
Solve word problems that contain multiple quantities that are measured in different units.
HS
Quantities
Math.CC.HSN-Q.A.2
Coming Soon
HS
Quantities
Math.CC.HSN-Q.A.3
Coming Soon
HS
The Real Number System
Math.CC.HSN-RN.A.1
Coming Soon
HS
The Real Number System
Math.CC.HSN-RN.A.2
Properties of exponents challenge (rational exponents)
https://www.khanacademy.org/e/rational-exp-prop-challenge
Rewrite some elaborate exponential expressions that involve fractional exponents and radicals.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Unit-fraction exponents
https://www.khanacademy.org/e/understanding-fractional-exponents
Evaluate numerical expressions with unit-fraction exponents or radicals, and convert between the two forms of representations.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Evaluate radical expressions challenge
https://www.khanacademy.org/e/simplify-radicals-and-exponentials
Evaluate numerical radical expressions using the properties of exponents.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Properties of exponents (rational exponents)
https://www.khanacademy.org/e/exponents_4
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Simplify square roots
https://www.khanacademy.org/e/simplifying_radicals
For example, simplify √18 as 3√2.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Simplify square-root expressions
https://www.khanacademy.org/e/adding_and_subtracting_radicals
Practice simplifying expressions with multiple radical terms.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Rational exponents challenge
https://www.khanacademy.org/e/manipulating-fractional-exponents
Choose equivalent forms of radical and exponential expressions.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Fractional exponents
https://www.khanacademy.org/e/exponents_3
Evaluate numerical expressions with rational exponents, and convert between equivalent forms of exponential and radical expressions.
HS
The Real Number System
Math.CC.HSN-RN.A.2
4th & 5th roots
https://www.khanacademy.org/e/radicals
Radicals are also known as roots. The most common are square root √ and cube root ∛, but there are more. Evaluate higher-degree radicals like ∜81.
HS
The Real Number System
Math.CC.HSN-RN.A.2
Simplify square-roots (variables)
https://www.khanacademy.org/e/multiplying_radicals
Simplify square roots that contain variables in them, like √(8x³)
HS
The Real Number System
Math.CC.HSN-RN.B.3
Rational vs. irrational expressions
https://www.khanacademy.org/e/recognizing-rational-and-irrational-expressions
Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.A.1
Magnitude of vectors
https://www.khanacademy.org/e/magnitude-of-vectors
Find the magnitude of a vector. You'll see vectors given in graphs, given in component form, and given by initial and terminal points.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.A.1
Equivalent vectors
https://www.khanacademy.org/e/equivalent-vectors
Determine if two vectors shown on a graph are equivalent.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.A.2
Components of vectors
https://www.khanacademy.org/e/components_of_vectors
Find the components of a vector.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.A.3
Vector word problems
https://www.khanacademy.org/e/vector-word-problems
Apply what you've learned about vectors to solve some word problems!
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add & subtract vectors
https://www.khanacademy.org/e/adding_vectors
Add and subtract vectors given in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Graphically add & subtract vectors
https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors
Analyze graphs that represent vector addition & subtraction.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add & subtract vectors
https://www.khanacademy.org/e/adding_vectors
Add and subtract vectors given in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add vectors: magnitude & direction to component
https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form
Add two vectors in magnitude and direction form to get a new vector in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Graphically add & subtract vectors
https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors
Analyze graphs that represent vector addition & subtraction.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add & subtract vectors
https://www.khanacademy.org/e/adding_vectors
Add and subtract vectors given in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add vectors: magnitude & direction to component
https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form
Add two vectors in magnitude and direction form to get a new vector in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Graphically add & subtract vectors
https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors
Analyze graphs that represent vector addition & subtraction.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add & subtract vectors
https://www.khanacademy.org/e/adding_vectors
Add and subtract vectors given in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add vectors: magnitude & direction to component
https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form
Add two vectors in magnitude and direction form to get a new vector in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Graphically add & subtract vectors
https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors
Analyze graphs that represent vector addition & subtraction.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.4
Add vectors: magnitude & direction to component
https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form
Add two vectors in magnitude and direction form to get a new vector in component form.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.5
Analyze scalar multiplication
https://www.khanacademy.org/e/understanding-scalar-multiplication
Match vectors to images based on scalars to show that you understand scalar multiplication.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.5
Unit vectors
https://www.khanacademy.org/e/unit-vector
Find a unit vector in the direction of a given vector.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.5
Analyze scalar multiplication
https://www.khanacademy.org/e/understanding-scalar-multiplication
Match vectors to images based on scalars to show that you understand scalar multiplication.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.5
Unit vectors
https://www.khanacademy.org/e/unit-vector
Find a unit vector in the direction of a given vector.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.5
Analyze scalar multiplication
https://www.khanacademy.org/e/understanding-scalar-multiplication
Match vectors to images based on scalars to show that you understand scalar multiplication.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.B.5
Unit vectors
https://www.khanacademy.org/e/unit-vector
Find a unit vector in the direction of a given vector.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.10
Determine invertible matrices
https://www.khanacademy.org/e/determine-invertibile-2x2-matrices
Given a 2x2 matrix, determine whether it has an inverse.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.11
Transform vectors using matrices
https://www.khanacademy.org/e/multiplying_a_matrix_by_a_vector
Find the result (both algebraically and graphically) of transforming a vector using a transformation matrix.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.12
Matrices as transformations
https://www.khanacademy.org/e/transformation-matrices-1
Match transformation matrices with a visual representation of their effect on the plane.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.12
Transform polygons using matrices
https://www.khanacademy.org/e/transform-polygons-with-matrices
Find the image of a given polygon under a transformation defined by a given matrix.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.6
Matrix elements
https://www.khanacademy.org/e/understand-matrix-coordinates
Find specific elements (also called entries) of given matrices.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.7
Multiply matrices by scalars
https://www.khanacademy.org/e/scalar_matrix_multiplication
Find the matrix that is a result of multiplying a given matrix by a given scalar.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.7
Matrix equations: scalar multiplication
https://www.khanacademy.org/e/solve-matrix-equations-scalar-multiplication
Solve equations where the unknown is a matrix, by using matrix multiplication by a scalar.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.8
Multiply matrices
https://www.khanacademy.org/e/multiplying_a_matrix_by_a_matrix
Find the result of a multiplication of two given matrices.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.8
Matrix equations: addition & subtraction
https://www.khanacademy.org/e/solve-matrix-equations-add-sub
Solve equations where the unknown is a matrix, by using matrix addition and subtraction.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.8
Determinant of a 2x2 matrix
https://www.khanacademy.org/e/matrix_determinant
Find the determinant of a given 2x2 matrix.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.8
Add & subtract matrices
https://www.khanacademy.org/e/matrix_addition_and_subtraction
Find the matrix that is the result of the addition or subtraction of two given matrices.
HS
Vector and Matrix Quantities
Math.CC.HSN-VM.C.9
Coming Soon
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.A.1
Subsets of sample spaces
https://www.khanacademy.org/e/describing-subsets-of-sample-spaces
Answer interesting questions about subsets of sample spaces.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.A.1
Basic set notation
https://www.khanacademy.org/e/basic_set_notation
The union, complement, and intersection of sets.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.A.2
Dependent and independent events
https://www.khanacademy.org/e/identifying-dependent-and-independent-events
Determine if two events are dependent or independent.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.A.3
Dependent and independent events
https://www.khanacademy.org/e/identifying-dependent-and-independent-events
Determine if two events are dependent or independent.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.A.4
Trends in categorical data
https://www.khanacademy.org/e/trends-in-categorical-data
Analyze categorical data to find some trends.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.A.5
Trends in categorical data
https://www.khanacademy.org/e/trends-in-categorical-data
Analyze categorical data to find some trends.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.6
Dependent probability
https://www.khanacademy.org/e/dependent_probability
Find dependent probabilities like P(A | B) or P(B | A) for a variety of contexts.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.6
Trends in categorical data
https://www.khanacademy.org/e/trends-in-categorical-data
Analyze categorical data to find some trends.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.7
Adding probabilities
https://www.khanacademy.org/e/adding-probability
Find four probabilities for each problem: P(A), P(B), P(A and B), and P(A or B).
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.8
Multiplying dependent probabilities
https://www.khanacademy.org/e/multiplying-dependent-probabilities
Use properties of dependent probability like P(A | B) * P(B) = P(A and B) to solve some tricky probability problems!
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.9
Permutations & combinations
https://www.khanacademy.org/e/permutations_and_combinations_2
Permutations and Combinations with overcounting
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.9
Combinations
https://www.khanacademy.org/e/combinations_1
Introductory combination problems like if you have 5 friends and can pick 2 of them to join you on a boat ride, how many different groups of friends could you take with you?
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.9
Permutations
https://www.khanacademy.org/e/permutations_1
Introductory permutation problems.
HS
Conditional Probability & the Rules of Probability
Math.CC.HSS-CP.B.9
Probability with permutations and combinations
https://www.khanacademy.org/e/probability_with_perm_comb
Probability questions using permutations and combinations of objects
HS
Making Inferences and Justifying Conclusions
Math.CC.HSS-IC.A.1
Coming Soon
HS
Making Inferences and Justifying Conclusions
Math.CC.HSS-IC.A.2
Simple hypothesis testing
https://www.khanacademy.org/e/hypothesis-testing-with-simulations
Show that you have mastery over the idea behind hypothesis testing by calculating some probabilities and drawing conclusions.
HS
Making Inferences and Justifying Conclusions
Math.CC.HSS-IC.B.3
Types of statistical studies
https://www.khanacademy.org/e/types-of-statistical-studies
Determines if a statistical study is a sample study, an experiment, or an observational study.
HS
Making Inferences and Justifying Conclusions
Math.CC.HSS-IC.B.4
Coming Soon
HS
Making Inferences and Justifying Conclusions
Math.CC.HSS-IC.B.5
Hypothesis testing in experiments
https://www.khanacademy.org/e/hypothesis-testing-in-experiments
Look at the results of different experiments, and determine if they are statistically significant.
HS
Making Inferences and Justifying Conclusions
Math.CC.HSS-IC.B.6
Types of statistical studies
https://www.khanacademy.org/e/types-of-statistical-studies
Determines if a statistical study is a sample study, an experiment, or an observational study.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.1
Comparing data distributions
https://www.khanacademy.org/e/interpreting-and-comparing-data-distributions
Take a look at two different data distributions and draw some comparisons.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.2
Comparing data distributions
https://www.khanacademy.org/e/interpreting-and-comparing-data-distributions
Take a look at two different data distributions and draw some comparisons.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.2
Standard deviation of a population
https://www.khanacademy.org/e/standard_deviation_of_a_population
Calculate the standard deviation of a population.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.3
Comparing data distributions
https://www.khanacademy.org/e/interpreting-and-comparing-data-distributions
Take a look at two different data distributions and draw some comparisons.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.4
Normal distribution: Area above or below a point
https://www.khanacademy.org/e/z_scores_2
Use a z-table to find the area above or below a given point in some Normal distribution.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.4
Empirical rule
https://www.khanacademy.org/e/empirical_rule
Practice applying the 68-95-99.7 empirical rule.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.4
Z-scores 1
https://www.khanacademy.org/e/z_scores_1
Find the z-score of a particular measurement given the mean and standard deviation.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.A.4
Normal distribution: Area between two points
https://www.khanacademy.org/e/z_scores_3
Use a z-table to find the area between two given points in some normal distribution.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.B.5
Trends in categorical data
https://www.khanacademy.org/e/trends-in-categorical-data
Analyze categorical data to find some trends.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.B.6
Fitting quadratic and exponential functions to scatter plots
https://www.khanacademy.org/e/fitting-functions-to-scatter-plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.B.6
Fitting quadratic and exponential functions to scatter plots
https://www.khanacademy.org/e/fitting-functions-to-scatter-plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.B.6
Fitting quadratic and exponential functions to scatter plots
https://www.khanacademy.org/e/fitting-functions-to-scatter-plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.B.6
Fitting quadratic and exponential functions to scatter plots
https://www.khanacademy.org/e/fitting-functions-to-scatter-plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.C.7
Coming Soon
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.C.8
Correlation coefficient intuition
https://www.khanacademy.org/e/correlation-coefficient-intuition
Match correlation coefficients to scatterplots to build a deeper intuition behind correlation coefficients.
HS
Interpreting Categorical and Quantitative Data
Math.CC.HSS-ID.C.9
Types of statistical studies
https://www.khanacademy.org/e/types-of-statistical-studies
Determines if a statistical study is a sample study, an experiment, or an observational study.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.A.1
Constructing probability distributions
https://www.khanacademy.org/e/constructing-probability-distributions
Given a context, create a probability distribution.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.A.2
Expected value
https://www.khanacademy.org/e/expected_value
Compute the expected value given a set of outcomes, probabilities, and payoffs
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.A.3
Expected value with calculated probabilities
https://www.khanacademy.org/e/expected-value-with-calculated-probabilities
Find expected value based on calculated probabilities.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.A.4
Expected value with empirical probabilities
https://www.khanacademy.org/e/expected-value-with-empirical-probabilities
Find expected value based on empirical probabilities.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.5
Expected value
https://www.khanacademy.org/e/expected_value
Compute the expected value given a set of outcomes, probabilities, and payoffs
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.5
Making decisions with expected values
https://www.khanacademy.org/e/making-decisions-with-expected-values
Calculate expected values and then use them to make decisions.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.5
Expected value
https://www.khanacademy.org/e/expected_value
Compute the expected value given a set of outcomes, probabilities, and payoffs
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.5
Making decisions with expected values
https://www.khanacademy.org/e/making-decisions-with-expected-values
Calculate expected values and then use them to make decisions.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.5
Expected value
https://www.khanacademy.org/e/expected_value
Compute the expected value given a set of outcomes, probabilities, and payoffs
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.5
Making decisions with expected values
https://www.khanacademy.org/e/making-decisions-with-expected-values
Calculate expected values and then use them to make decisions.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.6
Using probability to make fair decisions
https://www.khanacademy.org/e/using-probability-to-make-fair-decisions
Determine if different methods are fair or unfair.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.7
Using probability to make fair decisions
https://www.khanacademy.org/e/using-probability-to-make-fair-decisions
Determine if different methods are fair or unfair.
HS
Using Probability to Make Decisions
Math.CC.HSS-MD.B.7
Making decisions with expected values
https://www.khanacademy.org/e/making-decisions-with-expected-values
Calculate expected values and then use them to make decisions.