Education Technology

Repeating Decimals and Fractions

Subject Area
Math: Middle Grades Math: The Number System
Level
6-8
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS

Repeating Decimals and Fractions

Activity Overview

This lesson involves students exploring patterns in repeating decimals that represent fractions with denominators 9, 99, and 999.

Objectives

  • Students will explore and predict patterns found in repeating decimals for select fractions.
  • Students will determine the repeating digit (or group of digits) for a repeating decimal.
  • Students will find repeating digits and use patterns in repeating decimals to determine equivalent fractions.

Vocabulary

  • decimal representation
  • repeating decimal
  • repeating digits

About the Lesson

This lesson involves students exploring patterns in repeating decimals that represent fractions with denominators 9, 99, and 999.
As a result, students will:

  • Find the repeating decimal representation for select fractions.
  • Find fractions given select repeating decimal representations.

Subject Area
Math: Middle Grades Math: The Number System
Level
6-8
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS
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