Use the following Media4Math resources with this Illustrative Math lesson.
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Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios | Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios This is the transcript for the video of same title. Video contents: Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river's length to its straight-line distance tell us? In this segment the geological forces that account for a river's motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi. |
Applications of Equations and Inequalities and Applications of Ratios, Proportions, and Percents | |
Video Transcript: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles | Video Transcript: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles
What Are Algebra Tiles?Numerical Models |
Algebra Tiles--Expressions and Equations | |
Video Transcript: Application of Ratios: Roofs and Ramps | Video Transcript: Application of Ratios: Roofs and Ramps
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Applications of Ratios, Proportions, and Percents | |
Video Transcript: Geometry Applications: Circles | Video Transcript: Geometry Applications: Circles
This is the transcript for the video of same title. Video contents: In this program we explore the properties of circles. We do this in the context of two real-world applications. In the first, we look at the design of the Roman Coliseum and explore how circular shapes could have been used to design this elliptical structure. In the second application we look at the Roman Pantheon, specifically its spherical dome, to see how the properties of chords and secants help clarify its unique design. |
Applications of Circles | |
Video Transcript: Geometry Applications: Circles, Segment 1: The Basics of Circles | Video Transcript: Geometry Applications: Circles, Segment 1: The Basics of Circles
This is the transcript for the video of same title. Video contents: We visit Chaco Canyon in New Mexico to explore the circular kivas and in the process discover how circular buildings have been used to study the heavens. This is part of a collection of video transcript from the Geometry Applications video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Applications of Circles | |
Video Transcript: Geometry Applications: Circles, Segment 2: Circles and Arcs | Video Transcript: Geometry Applications: Circles, Segment 2: Circles and Arcs
This is the transcript for the video of same title. Video contents: The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes. |
Applications of Circles | |
Video Transcript: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles | Video Transcript: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles
This is the transcript for the video of same title. Video contents: The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs. |
Applications of Circles | |
Video Transcript: Integers: Variable Expressions with Integers | Video Transcript: Integers: Variable Expressions with Integers
This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Variable Expressions with Integers. This is part of a collection of video transcripts for the video tutorial series on Integers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Numerical Expressions | |
Video Transcript: Percents: Fraction-Percent Conversion | Video Transcript: Percents: Fraction-Percent Conversion
This is the transcript that goes with the video segment entitled Video: Percents: Fraction-Percent Conversion. This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. Video LibraryTo see the complete collection of videos in the Video Library, click on this link. |
Percents | |
Video Transcript: Rational Numbers: Variable Expressions with Rational Numbers | Video Transcript: Rational Numbers: Variable Expressions with Rational Numbers
This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers. This is part of a collection of video transcripts for the video tutorial series on Rational Numbers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions | |
Video Transcript: Ratios and Proportions: Scale Drawings | Video Transcript: Ratios and Proportions: Scale Drawings
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Proportions: Scale Drawings. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. Video LibraryTo see the complete collection of videos in the Video Library, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios and Proportions: Solving Proportions | Video Transcript: Ratios and Proportions: Solving Proportions
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Proportions: Solving Proportions. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios and Proportions: What Are Proportions? | Video Transcript: Ratios and Proportions: What Are Proportions?
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Proportions: What Are Proportions? This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios and Rates: Converting Measurement Units | Video Transcript: Ratios and Rates: Converting Measurement Units
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Converting Measurement Units. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios and Rates: Rates and Slopes of Lines | Video Transcript: Ratios and Rates: Rates and Slopes of Lines
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates and Slopes of Lines. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios and Rates: Rates from Data | Video Transcript: Ratios and Rates: Rates from Data
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates from Data. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. Video LibraryTo see the complete collection of videos in the Video Library, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios and Rates: Ratios as Decimals | Video Transcript: Ratios and Rates: Ratios as Decimals
This is the transcript that goes with the video segment entitled Video Tutorials: Ratios and Rates: Ratios and Decimals. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. Video LibraryTo see the complete collection of videos in the Video Library, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios, Proportions, and Percents: Calculating Percents | Video Transcript: Ratios, Proportions, and Percents: Calculating Percents
This is the transcript that goes with the video segment entitled Video Tutorials: Ratios, Proportions, and Percents: Calculating Percents. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Ratios and Rates | |
Video Transcript: Ratios: Application of Ratios: Roofs and Ramps | Video Transcript: Ratios: Application of Ratios: Roofs and Ramps
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Applications of Ratios, Proportions, and Percents | |
Video Transcript: Ratios: Equivalent Ratios | Video Transcript: Ratios: Equivalent Ratios
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Transcript: Ratios: Fractional Ratios | Video Transcript: Ratios: Fractional Ratios
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Transcript: Ratios: Numerical Models for Ratios | Video Transcript: Ratios: Numerical Models for Ratios
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Transcript: Ratios: Rates | Video Transcript: Ratios: Rates
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Transcript: Ratios: Ratios and Fractions | Video Transcript: Ratios: Ratios and Fractions
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Transcript: Ratios: Ratios with Three Items | Video Transcript: Ratios: Ratios with Three Items
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Transcript: Ratios: Unit Rates | Video Transcript: Ratios: Unit Rates
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Transcript: Ratios: Visual Models for Ratios | Video Transcript: Ratios: Visual Models for RatiosWhat Are Ratios?A ratio is the relationship between two or more quantities among a group of items. Let's look at an example. |
Ratios and Rates | |
Video Transcript: Ratios: Visual Models for Ratios and Percents | Video Transcript: Ratios: Visual Models for Ratios and PercentsWhat Are Ratios?A ratio is the relationship between two or more quantities among a group of items. Let's look at an example. |
Ratios and Rates | |
Video Transcript: Ratios: What Are Ratios? | Video Transcript: Ratios: What Are Ratios?
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Video Tutorial: Algebra Tiles 16 | Video Tutorial: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles
DescriptionThis is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction. —CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series. |
Algebra Tiles--Expressions and Equations | |
Video Tutorial: Integers, Video 11 | Video Tutorial: Integers: Variable Expressions with Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Percents, Video 7 | Video Tutorial: Percents: Fraction-Percent Conversion
This video is part of a series of videos that cover the topic of percents. This includes the definition of a percent, percent operations, and applications of percents. Each video includes real-world examples of using percents to solve specific problems. —CLICK ON PREVIEW TO VIEW THE VIDEO TUTORIAL— To see the complete collection of video tutorials on percents, click on this link.The following section provides background information on percents. Use this material to supplement the video series. You can also use the videos and this background material to fully review the topic of percents. |
Percents | |
Video Tutorial: Rational Numbers: Video 12 | Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers
This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward. |
Rational Expressions | |
Video Tutorial: Ratios, Video 1 | Video Tutorial: Ratios: What Are Ratios?
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 11 | Video Tutorial: Ratios and Proportions: Solving Proportions
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 12 | Video Tutorial: Ratios and Proportions: Scale Drawings
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 13 | Video Tutorial: Ratios and Rates: Rates from Data
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 14 | Video Tutorial: Ratios and Rates: Rates and Slopes of Lines
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 15 | Video Tutorial: Ratios and Rates: Converting Measurement Units
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 16 | Video Tutorial: Ratios, Proportions, and Percents: Calculating Percents
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 17 | Video Tutorial: Ratios: Visual Models for Ratios and Percents 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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 18 | Video Tutorial: Ratios and Rates: Ratios as Decimals
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 19 | Video Tutorial: Ratios: Application of Ratios: Roofs and Ramps
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. |
Applications of Ratios, Proportions, and Percents and Proportions | |
Video Tutorial: Ratios, Video 2 | Video Tutorial: Ratios: Ratios with Three Items
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 3 | Video Tutorial: Ratios: Fractional Ratios
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 4 | Video Tutorial: Ratios: Ratios and Fractions
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 5 | Video Tutorial: Ratios: Visual Models for Ratios
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 7 | Video Tutorial: Ratios: Equivalent Ratios
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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 8 | Video Tutorial: Ratios: Rates 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. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 9 | Video Tutorial: Ratios: Unit Rates
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. |
Ratios and Rates |