In this Algebra Application, students develop a linear mathematical model based on the maximum heart rate during exercise based on age. Using this model, students investigate heart rate for moderate and vigorous workouts. The math topics covered include:

Mathematical modeling Linear functions Families of functions Computational thinking

In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include:

Mathematical modeling Linear functions Data gathering and analysis Ratios Direct variation

In this Algebra Application, students examine the budding industry of commercial space travel. Using data from the Bureau of Transportation Statistics, students build a mathematical model from historical airfare data. This model is used to predict when commercial space travel will become affordable. This also includes a discussion of inflation-adjusted costs and the future value of money.

The relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope. A Video Transcript is available for this tutorial. Note: The download is Media4Math's guide to closed captioned videos.

In this episode of Algebra Applications, three real-world explorations of linear functions are developed: Sports. The relationship between slope and grade in cycling is explored. Oil Exploration. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. Health.

An overview of the key topics to be covered in the video. A Video Transcript is available for this tutorial. Note: The download is Media4Math's guide to closed captioned videos.

The potential for oil exploration in the controversial Alaska National Wildlife Refuge (ANWR) sets the scene for this problem. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. How could new oil fields like ANWR help in breaking our dependence on foreign oil?

Exercise needs to become a consistent part of everyone's lifestyle. In particular, aerobic exercises, which vigorously exerts the heart, is an important form of exercise. The maximum heart rate from aerobic exercise is a linear function dependent on age. Students are asked to develop a data table based on the function.

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

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In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

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In this Slide Show, apply concepts of linear functions to the context of cricket chirps.

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In this Slide Show, apply concepts of linear functions to the context of distance vs. time data and graphs.

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In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

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In this Slide Show, apply concepts of linear functions to the context of momentum and impulse.

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In this Slide Show, apply concepts of linear functions to the context of rectangular perimeter.

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In this Slide Show, apply concepts of linear functions to the context of saving money.

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In this Slide Show, apply concepts of linear functions to the context of speed and acceleration.

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In this Slide Show, apply concepts of linear functions to the context of converting Celsius and Fahrenheit temperatures.

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In this Slide Show, use the Desmos graphing calculator to explore absolute value functions.

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Desmos Collection

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In this Slide Show, use the Desmos graphing calculator to explore linear functions.

Note: The download is a PPT file.

Related Resources

To see additional resources on this topic click on the Related Resources tab above.

Desmos Collection

To see the complete collection of Desmos Resources click on this link.

In this Slide Show, learn about graphs of linear functions. Note: The download is a PPT file.

In this Slide Show, learn about linear function models. Note: The download is a PPT file.

In this Slide Show, absolute value functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.