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6-8 Grade 6 Unit 6 Lesson 9

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K-5 Math •6-8 Math 9-12 Math

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•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

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6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

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

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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

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Unit 6, Lesson 9

The Distributive Property, Part 1

Grade 6

Practice

Problem 1
Student Task Statement
Select all the expressions that represent the area of the large, outer rectangle.

Area diagram. A large rectangle is partitioned vertically into two smaller rectangles. First rectangle, vertical side 5, bottom side length 2. Second rectangle, vertical side 5, bottom side length 4.

Lesson 9 Resources

Student Materials

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Problem 2

Student Task Statement

Explain how each expression is equivalent to .
Use the diagram if needed.

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Problem 3

Student Task Statement

Complete each calculation using the distributive property.

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Problem 4

Student Task Statement

Select all the expressions that represent the area of the shaded rectangle on the left side of the figure.

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Problem 5

ForLesson 8: Equal and Equivalent

Student Task Statement

On graph paper, draw diagrams that represent and when is 1, 2, and 3. What do you notice?
Do and have the same value for any value of ? Explain how you know.

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Problem 6

ForLesson 6: Percentages and Equations

Student Task Statement

120% of is equal to 78.

Write an equation that shows the relationship of 120%, , and 78.
Use your equation to find . Show your reasoning.

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Problem 7

ForLesson 7: Write Expressions with Variables

Student Task Statement

Kiran’s aunt is 17 years older than Kiran.

How old will Kiran’s aunt be when Kiran is:

15 years old?

30 years old?

years old?
How old will Kiran be when his aunt is 60 years old?

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