1. Lesson 12: Distributing Expressions
Date: 3/27/14 S.49
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 12
Lesson 12:Distributing Expressions
Classwork
Opening Exercise
a. Create a model to show .
b. Create a model to show , or .
Example 1
Write an expression that is equivalent to .
Create a model to represent .
The expression tells us that we have of the ’s. Create a model that shows groups of .
How many ’s and how many ’s do you see in the diagram?
How would the model look if we grouped together the ’s and then grouped together the ’s?

2. Lesson 12: Distributing Expressions
Date: 3/27/14 S.50
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 12
What expression could we write to represent the new diagram?
What conclusion can we draw from the models about equivalent expressions?
Let and
What happens when we double ?
Example 2
Write an expression that is equivalent to double .
How can we rewrite double ?
Is this expression in factored form, expanded form, or neither?
Let’s start this problem the same way that we started the first example. What should we do?

3. Lesson 12: Distributing Expressions
Date: 3/27/14 S.51
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©2013CommonCore,Inc. Some rights reserved.commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 12
How can we change the model to show ?
Are there terms that we can combine in this example?
What is an equivalent expression that we can use to represent ?
Summarize how you would solve this question without the model.
Example 3
Write an expression in expanded form that is equivalent to the model below.
What factored expression is represented in the model?
How can we rewrite this expression?

4. Lesson 12: Distributing Expressions
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 12
Example 4
Write an expression that is equivalent to .
Exercises
Create a model for each expression below. Then write another equivalent expression using the distributive property.
1.
2.

5. Lesson 12: Distributing Expressions
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©2013CommonCore,Inc. Some rights reserved.commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 12
Apply the distributive property to write an equivalent expression.
3.
4.
5.
6.
7.
8.

6. Lesson 12: Distributing Expressions
Date: 3/27/14 S.54
54
©2013CommonCore,Inc. Some rights reserved.commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 12
Problem Set
1. Use the distributive property to expand the following expressions.
a.
b.
c.
d.
e.
f.
2. Create a model to show that .