Maximizing Your Efforts

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Equations and Inequalities

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Inequality Graphing for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 5 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

Resource Types

Lessons

Report an Issue

Maximizing Your Efforts

Activity Overview

Students use linear programming to solve problems involving maximum and minimum values. They use the Inequality Graphing application to solve linear programming problems.

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 47-54 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Define variables m and g, to represent Major Player and Gamer Gallery players

Write an expression that represents the profit earned from selling the two players

Write an objective function to find the value to be maximized

Write a system of inequalities representing the constraints for the problem situation

Graph the system of inequalities

Use shading to determine the feasible region

Find the vertices of the feasible region

Substitute the coordinates of each vertex into the objective function to find the maximum profit

Identify how many of each type of player results in the maximum monthly profit

Determine the maximum possible monthly profit

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

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix A PDF Teacher Notes Appendix B PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Equations and Inequalities

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Inequality Graphing for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 5 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

Resource Types

Lessons

Report an Issue

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Maximizing Your Efforts

Inequality Graphing for TI-83 Plus and TI-84 Plus

Maximizing Your Efforts

Before the Activity Files

Inequality Graphing for TI-83 Plus and TI-84 Plus

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