Stimulating Understanding of Computational science through Collaboration, Exploration, Experiment, and Discovery for students with Hearing Impairments
a collaboration of the Shodor Education Foundation, Inc., Eastern North Carolina School for the Deaf, Barton College, the National Technical Institute for the Deaf, and Interpreters, Inc.

For Teachers!

Systems of Linear Equations Modeling!

Audience:

 Algebra Students 

Overview:

This module is designed to introduce students to systems of equations by having them focus on finding solutions to situations found in their everyday life. At the end of this activity, students should be able to solve a system of two equations, as well as identify the system as consistent and independent, consistent and dependent, or inconsistent. 

This lesson assumes students are familiar with linear equations. Students should know how to graph linear equations using point- slope method as well as the x and y intercepts. Students should also know how to write linear equations in point- slope form as well as in standard form. 

The teacher lessons are designed to guide the instructor through a six-point lesson plan. These lessons may be modified to fit any classroom. 

 
Goals and objectives: Upon completion of this lesson, students will be able to…. 
*solve systems of equations by graphing. 
*determine whether a system of equations has one solution, no solution or infinitely many solutions by graphing. 

Student Prerequisites: 
Students should be familiar with linear equations. Students should know how to graph linear equations using point-slope method as well as the x and y intercepts. Students should also know how to write linear equations in point- slope form as well as in standard form. 

Length: 
Two 90 minute periods 
1- Graphing systems of equations 
2- Classifying systems 

Materials Needed: 
Colored Pencils/Chalk 
Graph Paper/Board 
Graphing Calculator (optional) 

Vocabulary: 

System of equations- Two or more equations with common variables. 

Consistent system- A system of equations that has at least one solution. 

Inconsistent system- A system of equations that has no solution. 

Dependent system- A system of equations that has an infinite number of 
solutions. 

Independent system- A system of equations that has exactly one solution. 

Infinite- endless, never ending 

Break even - to neither lose or gain money in an investment. 

Parallel lines - lines on the same plane that never meet. 

Profit- money gained from some investment. 

Developed by
The Shodor Education Foundation, Inc.

Copyright © 1999-2001 by The Shodor Education Foundation, Inc.

This project is supported, in part, by the National Science Foundation Opinions expressed are those of the authors and not necessarily those of the National Science Foundation.