Education Technology

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