G8

Copyright © Swun Math Grade 8 Unit 2 Lesson 2 P TE

Properties of Exponents:

Multiplication

Procedural Lesson

Grade 8 · Unit 2 · Lesson 2
MC: 8.EE.1

Problem of the Day

Objective: I will simplify expressions using the properties of exponents.

Vocabulary Teacher Resources

Base: the repeated factor

Exponent: indicates the number of times

the base is multiplied by itself; also

known as power

Factors: numbers that are multiplied to

create a product

Power: a product in which the factors are the

same

5 • 5 • 5 • 5  54

4 factors power

Say as,“ 4 copies of 5 multiplied together”

n^3 = 3 copies of n, multiplied together =

n⋅n⋅n

Exponential Form: expressions written with

exponents

Properties of Exponents

Power to Power (an)m= anm (Multiply)

Multiply (Like Bases) am⋅an= am+n (Add)

Power of a Product anbn=(ab)n (Keep)

Considerations:

Continue to encourage struggling students to write the

expanded form of an exponential expression (5^4 = 5 ∙ 5 ∙ 5 ∙5).

Have students derive the rule once they understand the

concept of exponential form.

Another option is to create a visual representation of what

is occurring when using exponents. Use base ten blocks to

show students the growth of the number.

(^20)
21
22
23
Steps:

1. Identify the base(s) and exponent(s).


2. Write the expression in expanded form.


3. Simplify.

Application of MPs:

MP4: What rule might apply in this situation?

A rule that may apply can be ______________.

MP6: How could you test your solution to see if it

answers the problem?

I can test my solution by ___________________.

1 2 3 4 5 6 7 8

* * * * *

MPs

Applied MP

* Embedded MP

Student Journal Pages

58 - 63