Introduction

It's time for prom at Tim's high school and each ticket costs $100. Tim also wants to rent a limo for $75 for the night. Tim is going to save money for the ticket by cutting his neighbors' grass for $15 per week. Tim has already saved a total of $30 for his prom ticket. How many weeks will it take Tim to save up enough money to pay for the evening for him and his date?

This is a question which can be answered using a linear inequality. Linear inequalities can be used to represent a plethora of situations from maximizing profit for a company to deciding on the minimum amount of money needed for a date. In this lesson, you will learn how to graph inequalities and determine solutions to certain real-world situations.

 

Lesson Objectives

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

  • Create equations in one variable and use them to solve problems.
  • Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
  • Graph piece-wise defined functions.

Enduring Understandings

  • Operations create relationships between numbers.
  • The language of mathematics is communicated through specialized vocabulary and symbols used to represent and describe mathematical ideas, generalizations, and relationships.
  • By describing patterns using mathematics, we can make predictions and generalizations, analyze situations in everyday life, and sort and classify things.

The above objectives correspond with the Alabama Course of Study Algebra II and Algebra II with Trig standards: 21

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