Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Equations and Inequalities

9-12

60 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

## The Impossible Task

#### Activity Overview

Students are given a manufacturing situation and asked to write and graph inequalities to represent it and find the solutions.

#### Key Steps

• Students are given a manufacturing situation and asked to write an inequality to represent it. Once they have written the inequality, students examine its solution set by testing values of the variable on a spreadsheet and viewing its graph.

• A second constraint and a second variable are added to the situation. Students graph the second inequality along with the first inequality. They will compare the solution set shown by the graph with the solution found by testing values.

• A third constraint is introduced and explored in a similar fashion. First the solution set of the inequality by itself is discussed, and then students are prompted to search for solutions to the system created by all three inequalities taken together.