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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: Circumference vs. Diameter

As the size of a circle changes, so does the size of the diameter and that of the circumference. In fact, there is a linear relationship between these two measures. This relationship can be modeled with a linear function. In this module students will study this linear function and examine its properties, including the fact that the slope of this function is π itself.

What Is a Function?

In algebra, the topic of functions is extremely important. But what is a function? In this module students will learn what a function is and how to represent it. They'll explore data tables, graphs, and equations. Plus, they'll see the connection from one to the other.

Why Do Elephants Have Wrinkled Skin?

Have you noticed how wrinkled an elephant's skin is? What purpose does it serve and what does math have to do with explaining this phenomenon? Well, the explanation for an elephant's wrinkled skin is almost entirely a math story. 

Why Is Listeria So Dangerous?

Why do we refrigerate food? To keep bacteria from ruining the food. Refrigeration slows down bacterial growth, allowing us to keep food in our homes for a longer time. But what happens when bacteria continue to grow even in a refrigerator?

Pyrotechnics and Quadratic Functions

In this module explore the paths of fireworks and learn about quadratic functions. Students explore parabolas graphed in Quadrant I, with roots at the origin and positive x.

Why Do Rivers Meander?

Rivers twist and turn as they make their way to the sea. Why does this happen and how can this be explained mathematically? In this module we look at the geometry of meandering rivers. In the process we'll discover some fascinating numerical relationships.

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.