Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Equations and Inequalities

9-12

90 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 6 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

## Inequalities, They Are Not Just Linear Anymore!

#### 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.

• 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