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The Distributive Property, Part 1: IM 6.6.9
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1. Lesson 6.6.9
- IM 6.6.9 Lesson: The Distributive Property, Part 1
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2. Practice 6.6.9
- IM 6.6.9 Practice: The Distributive Property, Part 1
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The Distributive Property, Part 1: IM 6.6.9
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 20, 2020

“The Distributive Property, Part 1” from IM Grade 6 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 6.6.9
- IM 6.6.9 Lesson: The Distributive Property, Part 1
- Practice 6.6.9
- IM 6.6.9 Practice: The Distributive Property, Part 1
IM 6.6.9 Lesson: The Distributive Property, Part 1
Find each product mentally.
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Select all the expressions that represent the area of the large, outer rectangle in figure A.

Explain your reasoning.
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Select all the expressions that represent the area of the shaded rectangle on the left side of figure B.

Explain your reasoning.
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Complete the table. If you get stuck, skip an entry and come back to it, or consider drawing a diagram of two rectangles that share a side.




Use the distributive property to write two expressions that equal 360. (There are many correct ways to do this.)
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Is it possible to write an expression like that equals 360 where is a fraction? Either write such an expression, or explain why it is impossible.
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Is it possible to write an expression like that equals 360? Either write such an expression, or explain why it is impossible.
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How many ways do you think there are to make 360 using the distributive property?
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IM 6.6.9 Practice: The Distributive Property, Part 1
Select all the expressions that represent the area of the large, outer rectangle.

Draw and label diagrams that shows these two methods for calculating 19 ᐧ 50: (1) First find 10 ᐧ 50 and then add 9 ᐧ 50.


Draw and label diagrams that shows these two methods for calculating 19 ᐧ 50: (2) First find 20 ᐧ 50 and then take away 50.


Complete each calculation using the distributive property.
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A group of 8 friends go to the movies. A bag of popcorn costs $2.99. How much will it cost to get one bag of popcorn for each friend? Explain how you can calculate this amount mentally.
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Draw diagrams of a+a+a+a and 4a when a 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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120% of x is equal to 78.
Write an equation that shows the relationship of 120%, , and 78.
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Use your equation to find . Show your reasoning.
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Kiran’s aunt is 17 years older than Kiran.
How old will Kiran’s aunt be when Kiran is: 15 years old?
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How old will Kiran’s aunt be when Kiran is: 30 years old?
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How old will Kiran’s aunt be when Kiran is: years old?
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How old will Kiran be when his aunt is 60 years old?
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