Math

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

• DD.13 Volume of rectangular prisms made of unit cubes WG8 

• DD.14 Volume of irregular figures made of unit cubes WCE

• DD.15 Volume of cubes and rectangular prisms TFL

• DD.16 Volume of compound figures J83

• DD.18 Volume of cubes and rectangular prisms: word problems NR6

• DD.19 Compare volumes and dimensions of rectangular prisms: word problems JP6

Properties of Volume 

• identify volume as an attribute of solid figures.

• explain that a cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume.

• explain that a solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

Volume of Right Rectangular Prisms 

• measure volumes in 3-D shapes by counting unit cubes. (cubic cm, cubic in, cubic ft, and improvised units)

• create a 3-D shape with a specific volume.

• find the volume of an irregular 3-D shape.

• determine the volume of a figure given the top, side, and/or front view.

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

Multiplication

• C.1 Multiply by 1-digit numbers 7H4 

• C.2 Multiply by 1-digit numbers: word problems 94W

• C.4 Multiply numbers ending in zeroes 3V9

• C.5 Multiply numbers ending in zeroes: word problems 8KY

• C.6 Properties of multiplication LUE 

• C.9 Estimate products TKD

• C.13 Multiply by 2-digit numbers: complete the missing steps 9LX

• C.15 Multiply 2-digit numbers by 3-digit numbers JHB 

• C.17 Multiply by 2-digit numbers: word problems J95 

• C.19 Multiply by 3-digit numbers NSP

IXL Lessons

• Area model multiplication

• Partial products

Multiplication

• solve real-life story problems (whole numbers only) multiplying multi-digit whole numbers using the standard algorithm.

• use a variable to represent the unknown quantity in real life problem-solving scenario 

• solve for a variable in an equation and a real-life problem-solving scenario 

• match/write expressions/equations to match word problems (with variables for the unknown).

• multiply multi-digit whole numbers using the properties of operations.

• assess the reasonableness of the answer using estimation.

• analyze the accuracy of the multiplication used to solve a problem.

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

Division

• D.3 Divide multi-digit numbers by 1-digit numbers XHZ 

• D.4 Divide multi-digit numbers by 1-digit numbers: word problems 5DE 

• D.5 Divide by 1-digit numbers: interpret remainders 72W

• D.12 Divide by 2-digit numbers using models AJA  

• D.13 Divide by 2-digit numbers using partial quotients ASM 

• D.14 Divide 2-digit and 3-digit numbers by 2-digit numbers HMA 

• D.15 Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems AJW 

• D.16 Divide 4-digit numbers by 2-digit numbers 35K 

• D.17 Divide 4-digit numbers by 2-digit numbers: word problems J8L 

• D.20 Relate multiplication and division VA6 

• L.21 Add and subtract mixed numbers: word problems 6BH

• L.22 Add and subtract fractions in recipes W9K  

IXL Lessons

• Dividing multiples of 10

• Estimating quotients

Division

• solve and create real-life story problems using partial quotients with whole numbers with up to four-digit dividends and a two-digit divisor.

• use a variable to represent the unknown quantity in real life problem-solving scenario 

• match/write expressions/equations to match word problems (with variables for the unknown).

• solve for a variable in an equation and a real-life problem-solving scenario 

• assess the reasonableness of the answer using estimating or multiplication.

• analyze the accuracy of the division used to solve a problem.

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

• K.2 Compare fractions using benchmarks MJZ

• L.1 Estimate sums and differences of fractions using benchmarks 9JR 

• L.3 Add and subtract fractions with like denominators FXW 

• L.4 Add and subtract fractions with like denominators: word problems 7YQ 

• L.8 Add fractions with unlike denominators D9N (IXL Video)

• L.10 Estimate sums and differences of fractions using benchmarks 9JR 

• L.11 Subtract fractions with unlike denominators VSP 

• L.12 Add and subtract fractions with unlike denominators: word problems TCD

• L.13 Add 3 or more fractions with unlike denominators PBF

• L.18 Estimate sums and differences of mixed numbers HUJ 

• L.19 Add mixed numbers with unlike denominators FHD

• L.20 Subtract mixed numbers with unlike denominators FAA

• L.21 Add and subtract mixed numbers: word problems 6BH

• distinguish between whole numbers, fractions, and mixed numbers.

• use benchmarks (0, 1/2,1) and number sense of fractions to assess the reasonableness of answers. (e.g., recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2).

• add and subtract fractions, improper fractions, and mixed numbers with unlike denominators in real-world problems using: concrete models (i.e. fraction bars, circles), area models (squares, rectangles), number lines, finding common denominators (equivalent fractions), and connect the models to the algorithm.

• simplify final sums and differences. (Divisibility rules can help with simplifying)

• use the commutative and associative properties to add fractions/mixed numbers.

• use estimation to assess the reasonableness of the problems.

• assess the accuracy of subtraction problems by checking it with addition.

• analyze the accuracy of the addition and subtraction used to solve a problem.

• create addition and subtraction story problems.

• use a variable to represent the unknown quantity in real-life problem-solving scenario (vary unknown positions).

• solve for a variable in an equation and a real-life problem-solving scenario (vary unknown positions).

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

H.5 Evaluate numerical expressions with parentheses and brackets TVY 

• compare and contrast an expression and an equation.

• numerical expression (includes a number and operation, no equal sign) e.g. 3 + 4

• equation (a mathematical sentence that says two things are equal) e.g. 3 + 4 = 7

• translate a written phrase into a numerical expression.

• ⅓  less than 12: 12 - ⅓ 

• the quotient of 12 and 6: 12÷6

• take 2 away from 3 more than 8: (8+3) - 2

• 9 times (8 minus 2): 9 x (8-2) or 9(8-2)

• the quotient of 6 and 2, times 8: 6 ÷ 2 x 8 

• translate a numerical expression into a written phrase.

  • • ½ + 5 is add five to one half

    • (7 + 4) ÷ 2 is (the sum of 7 plus 4) divided by 2

    • Ex. 5 - 4

      • “five minus four,”

      • “five take away four” 

      • “four taken away from five” 

      • “the difference of five and four”

      • “five subtract four” 

      • “four subtracted from five” 

• solve expressions with grouping symbols in order of parentheses, brackets, then braces.

• work from the inside out

  • (26 + 18) ÷ 4

  • {12 – [(3+1) ÷2]} x 2

  • 6 – (½  + ⅓ )

• determine if translations of verbal and numerical phrases are correct or not and justify reasoning.

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

W.4 Place values in decimal numbers X8U 

W.5 Relationship between decimal place values DVM 

W.6 Convert decimals between standard and expanded form WTU 

W.7 Convert decimals between standard and expanded form using fractions BLQ 

W.8 Compose and decompose decimals in multiple ways 7U9

W.9 Round decimals MPB

X.4 Compare decimal numbers NSG 

BB.1 Multiply a decimal by a power of ten DN2

BB.2 Multiply a decimal by a power of ten: with exponents 5KC 

EE.1 Divide by powers of ten H2N 

EE.3 Divide by a power of ten: with exponents CL2 

Place Value of Whole Numbers and Decimals with Problem Solving

• distinguish and recognize the difference between whole numbers and decimals.

• read and write decimals to thousandths using concrete models (base-ten blocks), base-ten numerals, number names (ex. 2.51 = two and fifty-one hundredths, not 2 point five one), and expanded form

• decompose decimals in a variety of ways. (ex. 15 tenths = 1 whole and 5 tenths and 261 hundredths = 2 wholes and 61 hundredths)

• explain that in a multi-digit number, a digit in one 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. (whole numbers & decimals)

• explain what an exponent means (the number of times you multiply by 10).

• 103 = 10 x 10 x 10

• 3 x 103 = 3 x (10 x 10 x 10)

• write and evaluate repeated factors in exponent form with factors of 10. (Exponents are only used with 10 as the base number.)

  1. • whole numbers (ex. 5 x 103 and 546 ÷ 103)

     • decimals (ex. 1.5 x 102 and 1.5 ÷ 102) 

Compare Decimals 

• compare two decimals to thousandths based on meanings of the digits in each place using <, >, and = to record the comparisons.

Round Decimals 

• round decimals to any place within thousandths using place value understanding number lines and the standard method

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

• M.1 Multiply unit fractions by whole numbers using number lines X8E 

• M.2 Multiply unit fractions by whole numbers using models AFS

• M.5 Multiply fractions by whole numbers using arrays RB9

• M.6 Multiply fractions by whole numbers using number lines DRU

• M.8 Multiply fractions by whole numbers using models: complete the equation VXF

• M.10 Multiply fractions and whole numbers: sorting K69

• M.11 Multiply fractions by whole numbers I QFQ

• M.12 Multiply fractions by whole numbers II 69L

• M.13 Multiply fractions by whole numbers: word problems U2V

(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)

N.2 Divide unit fractions by whole numbers GXY 

N.3 Divide whole numbers by unit fractions using models VDU

N.4 Divide whole numbers by unit fractions 3L9

N.5 Divide unit fractions and whole numbers using area models A7W

N.6 Divide unit fractions and whole numbers SPB

N.7 Divide unit fractions and whole numbers: word problems G2N

N.8 Divide fractions by whole numbers FKT

N.9 Divide whole numbers by fractions RHL

N.10 Divide two fractions GL6

N.11 Divide fractions and mixed numbers AE2

N.12 Divide fractions and mixed numbers: word problems F7C