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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 5 C TE

Simplify Expressions:

Distributive Property

Conceptual Lesson

Grade 8 · Unit 4 · Lesson 5
MC: 8.EE.7b

Problem of the Day

Objective: I will simplify expressions by expanding the distributive property.

Vocabulary Teacher Resources

Expression Equation Variable

ퟓퟓퟓퟓ풙풙ퟓퟓ−ퟗퟗ풙풙+ퟑퟑퟑퟑ=ퟕퟕ풎풎+ퟖퟖퟓퟓ

Term Coefficient Constant

Expand Expressions:

Distributive Property

3(n + 4) + 4(n + 2)

* Read as: 3 groups of (n+4) and 4 groups of (n +2)

(n + 4) +(n + 4)+ (n + 4) + (n + 2)+ (n + 2) +(n + 2) +(n + 2)

7n + 20

Collecting Like Terms:

Distributive Property

3(n + 4) + 4(n + 2)

3n + 12 + 4n + 8

7n + 20

Considerations:

This lesson starts with expanding expressions. It is

helpful for students to understand the integer outside

the parentheses tells how many times the expression

is repeatedly being added.

Steps:

1. Expand the expression.
   (Use the distributive property)


2. Collect like terms.


3. Simplify the expression.
   (Variable term first, then constant)

Application of MPs:

MP7: How is the product found when using the

distributive property?

The product is found by the number on

the outside the parentheses by.

MP8: Is there a mathematical rule for the

distributive property?

the number on the outside of

the parentheses to all terms inside the

parentheses.

1 2 3 4 5 6 7 8

*  *

MPs

Applied MP

* Embedded MP

Student Journal Pages

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