Education Technology

Activities

• Subject Area

• Math: Algebra I: Equations and Inequalities

9-12

60 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 3 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

Winning Inequalities (Part 2)

Activity Overview

Students graph systems of linear inequalities and investigate the concepts of constraints and feasible polygons.

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 27-31 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

• Write down three linear inequalities with two variables and plot them on a graph paper
• Enter two inequalities in the calculator in the slope-intercept form, and the third inequality in the X= editor of the calculator
• Verify the graphs by using the Inequality Graphing application on the calculator and shade the common region
• Record the ordered pairs that are solutions of the inequality system
• Verify algebraically whether the points in the shaded region satisfy the system
• Trace the coordinates of the vertices of the triangle that forms the solution set
• 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