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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

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6-8 Accelerated 6 Unit 3

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

•Accelerated 6 Accelerated 7

Unit

Unit 1 Unit 2 •Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

K-5
6-8
9-12

Accelerated 6
Accelerated 7

Grade 6
Grade 7
Grade 8

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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Unit 3

Student Learning Targets

Accelerated 6

Section AMaking Sense of Division

1

Size of Divisor and Size of Quotient

When dividing, I know how the size of a divisor affects the quotient.

2

Meanings of Division

I can explain how multiplication and division are related.
I can explain two ways of interpreting a division expression such as .

Section BDividing Fractions

Section CFractions in Lengths, Areas, and Volumes

9

Fractional Lengths

I can use division and multiplication to solve problems involving fractional lengths.

10

Rectangles and Triangles with Fractional Lengths

I can use division and multiplication to solve problems involving areas of rectangles with fractional side lengths.
I can use division and multiplication to solve problems involving areas of triangles with fractional bases and heights.

11

Volume of Prisms

I can solve volume problems that involve fractions.
I know how to find the volume of a rectangular prism even when the edge lengths are not whole numbers.

12

Solving Problems Involving Fractions

I can use mathematical expressions to represent and solve word problems that involve fractions.

Section DAdding, Subtracting, and Multiplying Decimals

Section EDividing Decimals

Section FLet’s Put It to Work

Unit 3 Resources

Student Materials

When given a division equation, I can write a multiplication equation that represents the same situation.

3

How Many Groups?

I can use a tape diagram to represent equal-size groups and to find the number of groups.

4

What Fraction of a Group?

I can tell when a question is asking for the number of groups and that number is less than 1.
I can use diagrams and multiplication and division equations to represent and answer “What fraction of a group?” questions.

5

How Much in Each Group? (Part 1)

I can tell when a question is asking for the amount in one group.
I can use diagrams and multiplication and division equations to represent and answer “How much in each group?” questions.

6

How Much in Each Group? (Part 2)

I can find the amount in one group in different real-world situations.

7

Finding an Algorithm for Dividing Fractions

I can describe and apply a rule to divide numbers by any fraction.
I can divide a number by a fraction by reasoning with the numerator and denominator.

8

Ratios and Rates with Fractions

I can solve problems about ratios of fractions and decimals.

13

Using Decimals in a Shopping Context

I can use decimals to make estimates and calculations about money.

14

Using Diagrams to Represent Addition and Subtraction

I can use diagrams and vertical calculations to represent and reason about addition and subtraction of decimals.
I can use place value to explain addition and subtraction of decimals.
I know how to solve subtraction problems with decimals that require decomposing.

15

Adding and Subtracting Decimals with Many Non-Zero Digits

I can solve problems that involve addition and subtraction of decimals.

16

Methods for Multiplying Decimals

I can use area diagrams to represent and reason about multiplication of decimals.
I can use place value and fractions to reason about the multiplication of decimals.

17

Calculating Products of Decimals

I can describe and apply a method for multiplying decimals.
I know how to use a product of whole numbers to find a product of decimals.

22

Fitting Boxes into Boxes

I can use multiplication and division of fractions to reason about real-world volume problems.

23

Making and Measuring Boxes

I can use the four operations on decimals to find surface areas and reason about real-world problems.

18

Using Long Division

I can use long division to find a quotient of two whole numbers when the quotient is a whole number.

19

Dividing Numbers that Result in a Decimal

I can use long division to divide two whole numbers when the quotient is not a whole number, or to divide a decimal by a whole number.

20

Dividing a Decimal by a Decimal

I can explain how multiplying the dividend and the divisor by the same power of 10 can help me find a quotient of two decimals.
I can find the quotient of two decimals.

21

Solving Problems Involving Decimals

I can use addition, subtraction, multiplication, and division on decimals to solve problems.