Math

There is a set order of operations to use when solving problems. (NC.5.OA.2)
Strategies based on distributive, associative, and commutative properties can be used to multiply and divide whole numbers. (NC.5.OA.2)
Volume is an attribute of solid figures. (NC.5.MD.4)
There is a connection between volume found by packing with unit cubes and the volume found by multiplying whole-number edge lengths. (NC.5.MD.5)
The volume of a solid figure composed of two non-overlapping rectangular prisms is the same as the sum of the volume of the two separate rectangular prisms. (NC.5.MD.5)

Need Extra Practice? Click on the links below...

https://www.learner.org/interactives/geometry/volume-rectangles/

http://www.xpmath.com/forums/arcade.php?do=play&gameid=118

https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Cubes/

https://learnzillion.com/resources/64204-solving-problems-involving-volume/

Order of Operations

Skills students will be able to do...

Order of operations determine the sequence of steps needed to solve problems involving more than one operation. (NC.5.OA.2)
Relationships between numbers can be affected by grouping. (NC.5.OA.2)

Need Extra Practice-Click on the links below...

https://www.mrnussbaum.com/orderops/

http://www.abcya.com/order_of_operations.htm

http://www.shodor.org/interactivate/activities/OrderOfOperationsFou/

https://learnzillion.com/lesson_plans/5098-work-with-expressions-that-have-parentheses/

Quarter 2 Skills

Fractions

NC.5.NF.3 Use fractions to model and solve division problems.

● Interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.

● Model and interpret a fraction as the division of the numerator by the denominator.

● Solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.

NC.5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers.

● Use area and length models to multiply two fractions [a fraction by a whole number], with the denominators 2, 3, 4.

● Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number.

● Solve one-step word problems involving multiplication of fractions using models to develop the algorithm.

NC.5.NF.7 Solve one-step word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using area and length models, and equations to represent the problem.

Need Extra Resources? Check out the links below:

Multiplying fractions:

http://www.mathantics.com/section/lesson-video/multiplying-fractions

Multiplying Fractions by Whole Numbers:

https://learnzillion.com/lesson_plans/4654-multiply-fractions-by-whole-numbers-using-models/

Multiplying Fractions on a Number Line:

https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/tcc-5th-mult-fract-and-whole/v/multiplying-fractions-by-whole-numbers-on-the-number-line

Fractions as Division:

http://www.mathantics.com/section/lesson-video/fractions-are-division

Dividing Fractions:

http://www.mathantics.com/section/lesson-video/dividing-fractions

Metric Measurement and Place Value

NC.5.NBT.1 Explain the patterns in the place value system from one million to the thousandths place.

Explain that in a multi-digit number, a digit in ones place represents 10 times as much as it represents in the place to its right, and 1/10 of what it represents in the place to its left.
Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, 0.01 and/or divided by 10 and 100.

NC.5.NBT.3 Read, write, and compare decimals to thousandths.

Write decimals using base-ten numerals. number names, and expanded form.
Compare two decimals to thousandths based on the value of the digits in each place, using >,=, and < symbols to record the results of comparisons.

NC.5.MD.2 Represent and interpret data.

Collect data by asking a question that yields data that changes over time.
Make and interpret a representation of data using a line graph.
Determine whether a survey question will yield categorical or numerical data, or data that changes over time

Need Extra Resources? Check out the links below:

Decimal Place Value:

https://www.khanacademy.org/math/arithmetic-home/arith-review-decimals/decimal-pv-intro/v/decimal-place-value

http://www.mathantics.com/section/lesson-video/decimal-place-value

Comparing Decimals

https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals/v/comparing-decimals-with-hundredths

NC.5.NF.1 Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths.

Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Solve one- and two-step word problems in context using area and length models to develop the algorithm. Represent the word problem in an equation.

NC.5.NBT.7 Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.

Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
Use estimation strategies to assess reasonableness of answers.

NC.5.OA.2 Write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving:

Parentheses, using the order of operations.
Commutative, associative and distributive properties.

Need Extra Resources? Check out the links below:

Order of Operations:

http://www.mathantics.com/section/lesson-video/order-of-operations

Adding and Subtracting Fractions:

http://www.mathantics.com/section/lesson-video/adding-and-subtracting-fractions

Adding Mixed Numbers:

http://www.mathantics.com/section/lesson-video/adding-mixed-numbers

Subtracting Mixed Numbers:

http://www.mathantics.com/section/lesson-video/subtracting-mixed-numbers

Decimal Arithmetic:

http://www.mathantics.com/section/lesson-video/decimal-arithmetic

Quarter 3 Skills

Add and Subtract Fractions and Decimals

NC.5.NF.1 Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths.

Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Solve one- and two-step word problems in context using area and length models to develop the algorithm. Represent the word problem in an equation.

NC.5.NBT.7 Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.

Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
Use estimation strategies to assess reasonableness of answers.

NC.5.OA.2 Write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving:

Parentheses, using the order of operations.
Commutative, associative and distributive properties.

**See Quarter 1 and 2 for helpful videos!

Multiply and Divide Whole Numbers, Fractions and Decimals

NC.5.MD.1 Given a conversion chart, use multiplicative reasoning to solve one-step conversion problems within a given measurement system.

NC.5.NBT.5 Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm.

NC.5.NBT.6 Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.

NC.5.NBT.7 Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.

Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
Multiply decimals with a product to thousandths using models, drawings, or strategies based on place value.
Divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals should be limited to hundredths.
Use estimation strategies to assess reasonableness of answers.

NC.5.NF.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers.

Use area and length models to multiply two fractions with the denominators 2, 3, 4.
Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number.

**See quarters 1 and 2 for resource videos

Quarter 4 Skills

Classifying Quadrilaterals

NC.5.G.1 Graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems.

NC.5.G.3 Classify quadrilaterals into categories based on their properties.

Explain that attributes belonging to a category of quadrilaterals also belong to all subcategories of that category.
Classify quadrilaterals in a hierarchy based on properties.

Need more Resources? Click on the links below:

Polygons:

http://www.mathantics.com/section/lesson-video/polygons

Quadrilaterals:

http://www.mathantics.com/section/lesson-video/quadrilaterals

Triangles:

http://www.mathantics.com/section/lesson-video/triangles

Classify quadrilaterals in a hierarchy

https://learnzillion.com/resources/9559/