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

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6-8 Grade 7 Unit 6 Lesson 4

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K-5 Math •6-8 Math 9-12 Math

Course

Grade 6 •Grade 7 Grade 8

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 Lesson 19 Lesson 20 Lesson 21 Lesson 22

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

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
Lesson 19
Lesson 20
Lesson 21
Lesson 22

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Unit 6, Lesson 4

Reasoning about Equations and Tape Diagrams (Part 1)

Grade 7

Practice

Problem 1
ForLesson 1: How Well Can You Measure?
Student Task Statement
Draw a square with side length 7 cm.

Predict the perimeter and the length of the diagonal of the square.

Measure the perimeter and the length of the diagonal of the square.

Describe how close the predictions and measurements are.
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Lesson 4 Resources

Student Materials

Problem 2

ForLesson 9: Multiplying Rational Numbers (Part 2)

Student Task Statement

Find the products.

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Problem 3

Student Task Statement

Here are three stories:

A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show.
Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.
Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames. She spends the same amount of time painting each frame.

Here are three equations:

Decide which equation represents each story. What does represent in each equation?
Find the solution to each equation. Explain or show your reasoning.
What does each solution tell you about its situation?

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Problem 4

Student Task Statement

Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning.

Tape diagram, 6 equal parts labeled x, 1 part colored blue and labeled 11, total 21.

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Problem 5

ForLesson 7: Adding and Subtracting to Solve Problems

Student Task Statement

Plot these points on the coordinate plane:
What is the vertical difference between and ?
Write an expression that represents the vertical distance between and .

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