# Activities

• ##### Download

• • ##### Subject Area

• Math: Middle Grades Math: The Number System

• ##### Author 6-8

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

What is Root 2?

#### Activity Overview

This lesson involves estimating the values of two irrational numbers using a number line with increasing precision of scale.

#### Objectives

• Students will use rational numbers to approximate irrational numbers.
• Students will use the number line diagram to estimate the value of square roots.

#### Vocabulary

• rational and irrational numbers
• decimal approximation
• compound inequality

#### About the Lesson

This lesson involves estimating the values of two irrational numbers using a number line with increasing precision of scale.
As a result, students will:

• Estimate square roots by ‘zooming in’ on the values on a number.
• Find the rational upper and lower bounds for irrational numbers.
• Explain how to find better and better approximations of an unknown value.