## Applications of Linear Functions: Hooke's Law

In this module, students explore a physics-based application of linear functions: Hooke's Law. By exploring the properties of springs, a simple linear model is developed. Students then explore applications of Hooke's Law, from weight scales to bungee cords.

Students investigate the properties of springs and identify two variables: the displacement of the spring (extension or compression) and the amount of force involved. From this students identify the independent variable and dependent variable. A graphing calculator activity (using the Desmos graphing tool) allows students to explore the value of *k* in the function *F* = *kx.*

#### Math Concepts

- Functions
- Problem Solving

#### Learning Objectives

- Create a linear function model
- Test the model for accuracy
- Graph a linear function

#### Prerequisite Skills

- Understands the basics of linear functions
- Graphing on the coordinate plane

Common Core Standards | CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.A.3, CCSS.MATH.CONTENT.8.F.B.4 |
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Lesson Duration | 20 mins |

Grade Range | 6th - 8th Grade |