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Linear Function Models

In this module students learn the properties of linear functions. They look at data sets, graphs of coordinates, and algebraic representations of functions. Then students go on a field trip to the US Mint to see how money is printed. From this they develop linear function models for calculating the number of bills printed, along with their dollar value.

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. In this module, students learn about the linear function that converts from one system to the other.

Applications of Linear Functions: Speed and Acceleration

When a rocket is launched into space, it starts from rest and within minutes reaches speeds of tens of thousands kilometers per hour. In other words, the rocket accelerates. In this module, students apply their knowledge of linear functions to explore the speed vs. time function. In the process they learn about acceleration, as well as the properties of this linear function.

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.

SAT Math Prep--Linear Equations and Functions

Media4Math Classroom is developing a series of instructional modules for reviewing SAT math topics in detail. These modules review the key skills that are tested on the SAT. In this module there is a thorough review of the topic of linear equations.

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.