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## Applications of Linear Functions: Temperature Conversion

Temperature is one of the most important measurements that we deal with on a daily basis. Weather, climate, food preparation, health, and other phenomena involve some type of temperature measure. The two most common units of temperature measure are Fahrenheit and Celsius.

There is a linear function that allows you to convert from one unit to another. In this module, you'll learn about this linear function. In fact, students will learn about this function and its inverse.

The module starts with an analysis of Celsius-to-Fahrenheit data. They look at the functional relationship between the variables and develop a linear model using the Desmos graphing calculator. They analyze the properties of this linear function and look at its graph.

Next, students analyze Fahrenheit-to-Celsius data. They also develop a linear function model using the Desmos graphing calculator.

Finally, they compare the graphs of the first function and its inverse to identify properties of functions and their inverses.

#### Math Concepts

• Functions
• Problem Solving

#### Learning Objectives

• Create a linear function model for temperature conversion
• Graph the temperature function and interpret slope, y-intercept, domain, and range
• Explore the inverse of a function

#### Prerequisite Skills

• Understands the basics of linear functions
Common Core Standards CCSS.MATH.CONTENT.8.F.A.3, CCSS.MATH.CONTENT.8.F.B.4 20 mins 8th - 10th Grade

#### Lesson Preview    