Introduction

If someone offered you a pair of shoes, would you take it? How about a free meal or a free trip to the movies? In this lesson, you will learn how to use linear equations to analyze prices so that you can save money to buy the things you want.

Activity

Let's look at how we can save money on our cell phone bill. Visit Systems of Linear Equations: Real World Systems and Solutions to compare cell phone plans and determine which plan is a better value.

Lesson Objectives

Following successful completion of this lesson, students will be able to...

  • Graph linear equations
  • Determine if ordered pair is a solution to a linear equation

Essential Questions

  • What does the slope a line tells you about the line?
  • How are parallel lines and perpendicular line different?
  • What does the equation of a line tell you about graph of the line?

Enduring Understandings

  • The slope of a linear equation represents a constant rate of change.
  • Linear relationships can be defined on the coordinate plane.
  • The characteristics of linear equations and their graphs are useful in solving real-world problems.
  • Slope can be used to prove that two lines are parallel or perpendicular.
  • Slope can be used to prove that two lines are parallel or perpendicular.

The above objectives correspond with the Alabama Course of Study: Geometry standard: 2b, 5.