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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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Adaptations and updates to IM 6-8 Math v.360 are ©2024 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution-Noncommercial 4.0 International License (CC BY-NC 4.0).

Adaptations and additions to create IM 6–8 Math v.360 Accelerated are ©2025 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY-NC 4.0).

Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) .

Spanish translation of the “B” assessments are ©2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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6-8 Accelerated 7 Unit 3 Lesson 6

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

Lesson

Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 •Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18

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Unit 3, Lesson 6

Reasoning about Solving Equations (Part 1)

Accelerated 7

Practice

Problem 1
Student Task Statement
Explain how the parts of the balanced hanger diagram compare to the parts of the equation.

Lesson 6 Resources

Student Materials Student Materials in Spanish

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Problem 2

Student Task Statement

For the hanger diagram shown:

Write an equation with the variable to represent the relationship.
Draw more hanger diagrams or describe how you would change the given diagram to show each step you would take to find the value of . Explain your reasoning.
Write an equation to represent each hanger diagram you drew or each change you would make to the given diagram. Explain how each equation matches its diagram.

Balanced hanger, left side, 5 circles labeled x, 1 square labeled 2, right side, rectangle labeled 17.

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Problem 3

ForLesson 4: Reasoning about Equations and Tape Diagrams (Part 1)

Student Task Statement

Match each story to an equation.

A stack of nested paper cups is 8 inches tall. The first cup in the stack is 4 inches tall, and each of the other cups in the stack adds inch to the height of the stack.
A baker uses 4 cups of flour. She uses cup to flour the counters and the rest to make 8 identical muffins.
Elena has an 8-foot piece of ribbon. She cuts off a piece that is of a foot long and cuts the remainder into 4 pieces of equal length.

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Problem 4

from an earlier course

Student Task Statement

In each equation, the ? represents an operation. Which operation makes each equation true?

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Problem 5

ForLesson 12: Similarity

Student Task Statement

Describe a sequence of rotations, reflections, translations, and dilations that show one figure is similar to the other. Be sure to include the distance and direction of a translation, a line of reflection, the center and angle of a rotation, and the center and scale factor of a dilation.

polar coordinate plane with center at A. quadrilateral BCDE and quadrilateral QRST graphed.

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