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CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.HSF.IF.C.7.D: (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

There are 87 resources.
Title Description Thumbnail Image Curriculum Topics

VIDEO: Algebra Applications: Rational Functions

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.

VIDEO: Algebra Applications: Rational Functions Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Applications: Rational Functions, Segment 1: Submarines

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.

VIDEO: Algebra Applications: Rational Functions, Segment 1: Submarines Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Applications: Rational Functions, Segment 2: Biology

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.

VIDEO: Algebra Applications: Rational Functions, Segment 2: Biology Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope

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.

VIDEO: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Nspirations: Rational Functions and Expressions

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.

VIDEO: Algebra Nspirations: Rational Functions and Expressions Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 1

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:

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 1 Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 2

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:

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 2 Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 3

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:

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 3 Rational Expressions, Rational Functions and Equations

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 4

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:

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 4 Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Algebra Applications: Rational Functions

Description

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.

Closed Captioned Video: Algebra Applications: Rational Functions Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Algebra Applications: Rational Functions, Segment 1: Submarines

Description

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.

Closed Captioned Video: Algebra Applications: Rational Functions, Segment 1: Submarines Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Algebra Applications: Rational Functions, Segment 2: Biology

Description

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.

Closed Captioned Video: Algebra Applications: Rational Functions, Segment 2: Biology Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope

Description

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

Closed Captioned Video: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Algebra Nspirations: Rational Functions and Expressions

Description

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.

Closed Captioned Video: Algebra Nspirations: Rational Functions and Expressions Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Algebra Nspirations: Rational Functions and Expressions, Segment 1

Description

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.

Closed Captioned Video: Algebra Nspirations: Rational Functions and Expressions, Segment 1 Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Algebra Nspirations: Rational Functions and Expressions, Segment 3

Description

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: •

Closed Captioned Video: Algebra Nspirations: Rational Functions and Expressions, Segment 3 Rational Expressions, Rational Functions and Equations

Closed Captioned Video: Exp Rational Functions

Description

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. This Mini-Tutorial Video includes a worksheet. A Video Transcript is available for this tutorial. Note: The download is Media4Math's guide to closed captioned videos.

Closed Captioned Video: TI-Nspire Mini-Tutorial: Exploring Rational Function Graphs with Sliders Rational Functions and Equations

INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Rational Functions

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

INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Rational Functions Rational Functions and Equations

Math Example--Rational Concepts--Graphs of Rational Functions: Example 1

Math Example--Rational Concepts--Graphs of Rational Functions: Example 1

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Math Example--Rational Concepts--Graphs of Rational Functions: Example 1 Rational Functions and Equations

Math Example--Rational Concepts--Graphs of Rational Functions: Example 10

Math Example--Rational Concepts--Graphs of Rational Functions: Example 10

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Math Example--Rational Concepts--Graphs of Rational Functions: Example 10 Rational Functions and Equations

Math Example--Rational Concepts--Graphs of Rational Functions: Example 11

Math Example--Rational Concepts--Graphs of Rational Functions: Example 11

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Math Example--Rational Concepts--Graphs of Rational Functions: Example 11 Rational Functions and Equations

Math Example--Rational Concepts--Graphs of Rational Functions: Example 12

Math Example--Rational Concepts--Graphs of Rational Functions: Example 12

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Math Example--Rational Concepts--Graphs of Rational Functions: Example 12 Rational Functions and Equations

Math Example--Rational Concepts--Graphs of Rational Functions: Example 13

Math Example--Rational Concepts--Graphs of Rational Functions: Example 13

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Math Example--Rational Concepts--Graphs of Rational Functions: Example 13 Rational Functions and Equations

Math Example--Rational Concepts--Graphs of Rational Functions: Example 14

Math Example--Rational Concepts--Graphs of Rational Functions: Example 14

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Math Example--Rational Concepts--Graphs of Rational Functions: Example 14 Rational Functions and Equations

Math Example--Rational Concepts--Graphs of Rational Functions: Example 15

Math Example--Rational Concepts--Graphs of Rational Functions: Example 15

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Math Example--Rational Concepts--Graphs of Rational Functions: Example 15 Rational Functions and Equations

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