# Activities

• • • ##### Subject Area

• Math: PreAlgebra: Nonlinear Functions
• Math: Middle Grades Math: Number Sense

• ##### Author 6-8
9-12

60 Minutes

• ##### Device
• TI-73 Explorer™
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 3 from the EXPLORATIONS Book:
Topics In Algebra 1

Real Numbers

#### Activity Overview

Students learn to identify real numbers as rational numbers and irrational numbers. They review rational numbers as repeating decimals, and irrational numbers as non-repeating decimals. They also review commutative, associative, distributive, as well as inverse properties of real numbers systems. Students learn the Pythagorean theorem, and the formula for finding the circumference of a circle.

#### Before the Activity

Install Topics in Algebra 1 (Chapters 1-4) App on the calculator using one of these two methods:

• TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
• TI-Navigator™  "send to class" feature
• See the attached PDF file for detailed instructions for this activity
• Print pages 1-23 to 1-29 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

• Write three different irrational numbers
• Use the real number properties to solve multiplication problems
• Determine if a given number is a rational or an irrational number
• Decide which single property (commutative, associative and distributive) is represented in an equation
• Use the Pythagorean theorem to draw a triangle whose two legs are 1 unit each, and hypotenuse is √2 units
• Use the formula for the area of a circle and the area of a square to solve the problem
• #### After the Activity

Students will complete the Student Worksheet and analyze the results.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary