Illustrative Math Alignment: Grade 7 Unit 5

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is the transcript for the video of same title. Video contents: 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 is the transcript for the video of same title. Video contents: 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 is the transcript for the video of same title. Video contents: 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 is the transcript for the video of same title. Video contents: 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.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video of same title. Video contents: 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 is the transcript for the video of same title. Video contents: In this Investigation we look at an application of rational functions: Boyle's Law.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video of same title. Video contents: In this Investigation we look at graphs of rational functions.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Converting Measurement Units.

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This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates and Slopes of Lines.

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This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates from Data.

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This is the transcript that goes with the video segment entitled Video Tutorials: Ratios and Rates: Ratios and Decimals.

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This is the transcript that goes with the video segment entitled Video Tutorials: Ratios, Proportions, and Percents: Calculating Percents.

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What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring Rational Function Graphs with Sliders.

To see the complete collection of video transcriptsy, click on this link.

Learn the basics of inverse variations. Graphical and algebraic representations of inverse variations are shown, as well as examples of such functions.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

With the increasing demand worldwide for cars, the cost of gasoline continues to rise. The need for fuel-efficient cars makes hybrids a current favorite. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines. Students use the Graphs and Geometry features of the TI-Nspire.

This is part of a collection of videos from the Algebra Applications video series on the topic of Inequalities.

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 is part of a collection of videos from the Algebra Applications video series on the topic of Rational Functions.

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 is part of a collection of videos from the Algebra Applications video series on the topic of Rational Functions.

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 is part of a collection of videos from the Algebra Applications video series on the topic of Rational Functions.

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

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.

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.

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.

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.