Education Technology

Linear-Quadratic Inequalities

Published on 08/23/2011

Activity Overview

Explore the solutions of a linear-quadratic and quadratic-quadratic system of inequalities.

Objectives

  • Describe the solution to a linear-quadratic and quadratic-quadratic system of inequalities from a geometric perspective
  • Write the solution to a linear-quadratic or quadratic-quadratic system of inequality as a compound inequality
  • Generate quadratic-quadratic systems of inequalities with specific types of solutions

Vocabulary

  • linear
  • quadratic
  • system of inequalities

About the Lesson

In this lesson, manipulate sliders to explore the solutions of a linear-quadratic and quadratic-quadratic system of inequalities. As a result, students will:

  • Solve linear-quadratic and quadratic-quadratic systems of inequalities from a geometric perspective.
  • Make conjectures about solutions of linear-quadratic and quadratic-quadratic systems of inequalities and verify their conjectures by manipulating sliders.
  • Generate quadratic-quadratic systems of inequalities with specific types of solutions.