In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of rational functions. Such disparate phenomena as submarines, photography, and the appearance of certain organisms can be explained through rational function models.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions

In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions-segment-1-submarines

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-submarines

All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions-segment-2-biology

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-biology

The Hubble Telescope has transformed how we view the universe. We learn about the lens formula and how it is used in the construction of telescopes.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions-segment-3-hubble-telescope

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-hubble

After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes

This video includes a video transcript: https://media4math.com/library/video-transcript-algebra-nspirations-rational-functions-and-expressions

A Promethean Flipchart is available for this video: https://www.media4math.com/admin/content?title=promethean&type=library_asset&status=All&langcode=All

In this Investigation we look at an application of rational functions: Boyle's Law.

This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 2, click the following link:

• https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-2

A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 1 and 2 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-rational-functions-and-expressions-part-1

In this Math Lab we explore rational and irrational numbers.

This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 1, click the following link:

• https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-1

A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 1 and 2 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-rational-functions-and-expressions-part-1

In this Investigation we look at graphs of rational functions.

This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 4, click the following link:

• https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-4

A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 3 and 4 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-rational-functions-and-expressions-part-2

In this Math Lab we look at equivalent rational functions.

This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 3, click the following link:

• https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-3

A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 3 and 4 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-rational-functions-and-expressions-part-2

In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of rational functions. Such disparate phenomena as submarines, photography, and the appearance of certain organisms can be explained through rational function models. 

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

In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine. 

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

All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms. 

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 Hubble Telescope has transformed how we view the universe. We learn about the lens formula and how it is used in the construction of telescopes. 

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

After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes

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

In this Investigation we look at an application of rational functions: Boyle's Law. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-2

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

In this Investigation we look at graphs of rational functions. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 4, click the following link: • https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-4

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

In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a rational function. This video supports the TI-Nspire Clickpad and Touchpad.

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 "Graphs of Rational Functions."

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

The definition of the term "Inverse Variation."

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

The definition of the term "Rational Functions."

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, use the Desmos graphing calculator to explore rational functions. Note: The download is a PPT file.

Example 1: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/x.

Note: The download is a JPG file.

Related Resources

To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS

Example 2: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = -1/x.

Note: The download is a JPG file.

Related Resources

To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS

Example 3: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(x + c).

Note: The download is a JPG file.

Related Resources

To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS

Example 5: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(cx + d).

Note: The download is a JPG file.

Related Resources

To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS