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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 2

Introducing Proportional Relationships

Lesson 14: Four Representations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
VideoTutorial--Ratios19Thumbnail.jpg 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
VideoTutorial--Ratios19Thumbnail.jpg 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
VideoTutorial--Ratios19Thumbnail.jpg 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
VideoTutorial--Ratios19Thumbnail.jpg 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
VideoTutorial--Ratios10Thumbnail.jpg Video Tutorial: Ratios, Video 10 Video Tutorial: Ratios and Proportions: What are 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: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

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.

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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents