Education Technology

Activities

• Subject Area

• Math: Precalculus: Other Topics: Matrices, Sequences, and Series

9-12

45 Minutes

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

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

3x3 Linear Systems of Equations

Activity Overview

This lesson involves connecting graphical representations of systems of linear equations in three variables to the number of solutions of those systems.

Objectives

• Students will be able to describe the effects of the coefficients of a linear function in three variables on the graph of the function.
• Students will be able to identify the number of solutions to a system of linear equations in three variables by analyzing the graphs of the equations.
• Students will be able to describe the conditions under which a system of linear equations in three variables will have 0, 1, or infinitely many solutions.

Vocabulary

• system of equations
• plane
• solution to a system of equations