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. 

In this module students explore rational expressions and functions in the context of the ratio of surface area and volume for various three-dimensional figures. Such figures can be used to model the basic shapes of animals.

This ratio reveals a lot about how an animal is able to retain heat or lose it rapidly, depending on the animal's habitat. The geometry of heat transfer also has applications in architecture and design.

What your students will learn:

• Calculate the ratio of surface area and volume
• Graph rational functions
• Solve real-world problems using rational functions

Make sure your students know the basics of rational numbers and functions. 

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.

In this Brief Review, the addition and subtraction of rational numbers is explored. Note: The download is an MP4 file.

In this Brief Review, applications of rational numbers are explored. Note: The download is an MP4 file.

In this Brief Review, multiplying rational numbers is explored. Note: The download is an MP4 file.

Video Tutorial: Rational Numbers: Rational Numbers on the Cartesian Coordinate System. In this video, students learn to graph rational-number-based coordinates on a Cartesian Coordinate plane. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Subtracting Rational Numbers. In this video, students learn to subtract rational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers. In this video, students simplify various variable expressions that use rational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: What Are Rational Numbers? In this video, students learn the basic definition of rational numbers and look at real-world applications of them. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

The definition of the term "Rational Numbers."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

In this Slide Show, learn how to add and subtract rational numbers. Includes links to several Media4Math videos and a math game. Note: The download is a PPT file.

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers On a Number Line.

To access the corresponding Video Tutorial, click here: https://media4math.com/library/video-tutorial-rational-numbers-rational-numbers-number-line

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers On the Cartesian Coordinate System.

To access the corresponding Video Tutorial, click here: https://media4math.com/library/video-tutorial-rational-numbers-rational-numbers-cartesian-coordinate-system

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Subtracting Rational Numbers.

To access the corresponding Video Tutorial, click here: https://media4math.com/library/video-tutorial-rational-numbers-subtracting-rational-numbers

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers.

To access the corresponding Video Tutorial, click here: https://media4math.com/library/video-tutorial-rational-numbers-variable-expressions-rational-numbers

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: What Are Rational Numbers?

To access the corresponding Video Tutorial, click here: https://media4math.com/library/video-tutorial-rational-numbers-what-are-rational-numbers

Video Tutorial: Rational Numbers: Rational Numbers on the Cartesian Coordinate System. In this video, students learn to graph rational-number-based coordinates on a Cartesian Coordinate plane.

A Video Transcript is available for this tutorial at this link: Link

Note: The download is an MP4 file.

Related Resources

To see the complete collection of Videos on this topic, click on this link: https://bit.ly/3eZIU07

Video Tutorial: Rational Numbers: Subtracting Rational Numbers. In this video, students learn to subtract rational numbers.

A Video Transcript is available for this tutorial at this link: Link

Note: The download is an MP4 file.

Related Resources

To see the complete collection of Videos on this topic, click on this link: https://bit.ly/3eZIU07

Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers. In this video, students simplify various variable expressions that use rational numbers.

A Video Transcript is available for this tutorial at this link: Link

Note: The download is an MP4 file.

Related Resources

To see the complete collection of Videos on this topic, click on this link: https://bit.ly/3eZIU07

Video Tutorial: Rational Numbers: What Are Rational Numbers? In this video, students learn the basic definition of rational numbers and look at real-world applications of them.

A Video Transcript is available for this tutorial at this link: Link

Note: The download is an MP4 file.

Related Resources

To see the complete collection of Videos on this topic, click on this link: https://bit.ly/3eZIU07