Education Technology

Inequalities, They Are Not Just Linear Anymore!

Published on 06/09/2008

Activity Overview

Students study quadratic relationships and explore the process of graphing quadratic inequalities and systems of quadratic inequalities. They will solve these inequalities algebraically and graph them on a coordinate plane.

Before the Activity

Install the Inequality Graphing Application 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 59-67 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

  • Graph the equation y = x2
  • Locate points and algebraically determine if they are part of the solution set of the inequality y > x2
  • Observe that all the points that are part of the solution set lie inside the parabola y = x2
  • Use the Inequality Graphing Application to graph the inequality and verify the observation
  • Graph a system of quadratic inequalities
  • Predict if the two inequalities intersect in one or more points
  • Use the Inequality Graphing application to verify the prediction
  • Use the Inequality Graphing application to graph another system of quadratic inequalities

After the Activity

Students will complete the Student Worksheet and answer questions.

Review student results:

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