Introduction

Formulas can be extremely useful tools in mathematics. There are hundreds and hundreds of different formulas that can all be used to apply mathematics in a real-world context.

Formulas are nothing more than equations that give a relationship between two or more variables (or letters). Some examples of formulas include

  • Area of a Rectangle: A = lw
  • Perimeter of a Triangle: P = 4s
  • Interest Earned on a Bank Account: I = Prt

When formulas are not in a useful form, this could pose a problem. But have no fear because we have algebra! As we have been solving equations using the four basic operations of adding, subtracting, multiplying, and dividing, we can also apply these operations to different formulas to write them in a useful form.

Lesson Objectives

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

  • Create inequalities in one variable and use to solve problems.
  • Represent constraints by inequalities and interpret solutions of inequalities as viable or nonviable options in a modeling context.

Enduring Understandings

  • You can solve real-world problems using equations and inequalities.
  • 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: 20 and 23

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