11.8

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

Number
Properties &
Equivalent
Expressions

Unit 11

Application Problems

CCSS: 6.EE.A.4, 6.EE.A.3, 6.NS.B.4

1

Lesson 8

01.

02.

03.

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

2

UNIT 11: ESSENTIAL QUESTIONS

How do properties of numbers allow us to produce
equivalent expressions?

Why are equivalent expressions useful?

How can we use expressions in the real-world?

LEARNING
OBJECTIVES

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

3

Students can apply concepts of the number properties
to solve real-world problems.

Students can define and identify the number properties.

Draw

name properties and give examples

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

5

Warm-Up: Number Properties Review

Property Name

Example

The COMMUTATIVE Property of

Addition

The DISTRIBUTIVE Property

The Associative Property of

MULTIPLICATION

The IDENTITY Property of

Multiplication

Fill in the blanks using your knowledge of the number properties.

​4 + 2 = 2 + 4

​21 + 3 = 3( 7 + 1)

​5 x4 x 2 = 2 x 4x 5

​5 x 1 = 5

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

6

I Do: Real World Problems

A softball uniform costs $20 for the shirt and $5 for the
socks. Write two equivalent expressions for the total cost of
14 uniforms.

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

7

I Do: Real World Problems

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

8

I Do: Real World Problems

When Amelia goes to the office supply store she is buying a
stapler for $4 and a pack of pens for $7. When she adds
the total in her head, what are two different ways she can
add the totals?

MATH 6 | LESSON 11.8 | APPLICATION PROBLEMS

9

I Do: Real World Problems