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Applications of Linear Functions: Cricket Chirps

Crickets are known for their chirping sounds. But did you know that the number of times a cricket chirps per minute is an indicator of the outside temperature? In fact, the relationship between cricket chirps and the outside temperature can be modeled by a linear function. In this module, students will explore the function that can be used to determine the outside temperature based on the number of times a cricket chirps per minute.

Slope and Grade

In this lesson students learn how to use the slope formula to calculate steepness. In particular, students learn how to calculate steepness in the context of cycling. Cyclists use a measure called grade to calculate the steepness of a hill or mountain. Students apply their knowledge of slope to the concept of grade.

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.

Linear Functions: Distance vs. Time

In this lesson students apply their understanding of linear functions to an analysis of distance vs. time functions. In particular students will: Define the function for finding distance given a constant speed. Graph the distance function and interpret slope, y-intercept, domain, and range.