# Activities

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• • ##### Subject Area

• Math: Middle Grades Math: Expressions and Equations

• ##### Author 6-8

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.6

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Exploring Exponents

#### Activity Overview

Students will investigate and describe negative and zero exponents on the base. Then, students will apply the properties of integer exponents to generate equivalent expressions.

#### Objectives

• Students will investigate and describe how negative exponents affect positive integer bases.
• Students will describe the effect of a zero exponent on positive integer bases.
• Students will apply abstract and quantitative reasoning to determine the numerical value of an integer exponent.
• Students will understand the structure of integer exponents by demonstrating how they can be rewritten as a series of repeated multiplication or division.

• exponent
• base
• integer

#### About the Lesson

• This lesson involves preparing students to understand properties of integer exponents.
• As a result, students will:
• Describe how negative exponents affect a positive integer number base.
• Make and test conjectures about the effect of having a zero or negative integer exponent on a positive integer base, based upon the examples observed.
• Use patterns from their numerical observations to support their rationale of the effect of zero and negative exponents on positive integer bases.