Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 10: Measuring Long Distances Over Uneven Terrain

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VideoTutorial--Ratios7Thumbnail.jpg Video Tutorial: Ratios, Video 7 Video Tutorial: Ratios, Video 7

Topic

Ratios

Description

This video explains generating and comparing equivalent ratios. Examples include simplifying fractions, determining similarity in geometric shapes, and integrating multiple ratios into a comprehensive ratio. Applications extend to geometry and proportional reasoning.

Ratios and Rates
VideoTutorial--Ratios8Thumbnail.jpg Video Tutorial: Ratios, Video 8 Video Tutorial: Ratios, Video 8

Topic

Ratios

Description

This video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions.

Ratios and Rates
VideoTutorial--Ratios9Thumbnail.jpg Video Tutorial: Ratios, Video 9 Video Tutorial: Ratios, Video 9

Topic

Ratios

Description

The video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks.

Ratios and Rates
VideoTutorial--Ratios10Thumbnail.jpg Video Tutorial: Ratios, Video 10 Video Tutorial: Ratios, Video 10

Topic

Ratios

Description

Proportions are explained as equivalent ratios used to solve real-world problems. Examples include matching juice mixtures and adjusting recipes. The video uses ratio tables and number lines to scale ratios proportionally in practical applications.

Ratios and Rates
VIDEO: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage? VIDEO: Algebra Applications: Data Analysis, 4 VIDEO: Algebra Applications: Data Analysis, 4

Topic

Data Analysis

Description

Adjustable-rate mortgages (ARMs) are discussed, focusing on their role in the 2008 crisis. It demonstrates how variable rates increase long-term costs and create financial risks. Concepts include loan balance, refinancing, and amortization. The video uses spreadsheets to show payment changes over time and their economic effects. Applications highlight real-world implications of rising interest rates and decreasing home values.

Data Analysis and Data Gathering
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, 3

Topic

Equations

Description

The video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature.

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO, Brief Review, Multiplication Expressions VIDEO: Brief Review, Video 15 VIDEO: Brief Review: Multiplication Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO: Brief Review: Division Expressions VIDEO: Brief Review, Video 16 VIDEO: Brief Review: Division Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO, Brief Review, Representing a Variable Algebraically VIDEO: Brief Review, Video 21 VIDEO: Brief Review: Representing a Variable Algebraically

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
VIDEO, Brief Review, What Is a Variable Expression? VIDEO: Brief Review, Video 23 VIDEO: Brief Review: What Is a Variable Expression?

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
VIDEO: Brief Review: Evaluating Variable Expressions VIDEO: Brief Review, Video 24 VIDEO: Brief Review: Evaluating Variable Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
VIDEO, Brief Review, Simplifying Variable Expressions with Algebra Tiles VIDEO: Brief Review, Video 25 VIDEO: Brief Review: Simplifying Variable Expressions with Algebra Tiles

In this Brief Review, we explore simplifying variable expressions using algebra tiles.

Numerical and Algebraic Expressions
VIDEO: Brief Review: Applications of Variable Expressions VIDEO: Brief Review, Video 26 VIDEO: Brief Review: Applications of Variable Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
WorksheetThumbnail.jpg Worksheet: Analyzing Expressions, Worksheet 1 Worksheet: Analyzing Expressions, Worksheet 1

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

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Numerical and Algebraic Expressions
WorksheetThumbnail.jpg Worksheet: Analyzing Expressions, Worksheet 2 Worksheet: Analyzing Expressions, Worksheet 2

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

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Numerical and Algebraic Expressions
WorksheetThumbnail.jpg Worksheet: Analyzing Expressions, Worksheet 3 Worksheet: Analyzing Expressions, Worksheet 3

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

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Numerical and Algebraic Expressions
WorksheetThumbnail.jpg Worksheet: Analyzing Expressions, Worksheet 4 Worksheet: Analyzing Expressions, Worksheet 4

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

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Numerical and Algebraic Expressions
WorksheetThumbnail.jpg Worksheet: Analyzing Expressions, Worksheet 5 Worksheet: Analyzing Expressions, Worksheet 5

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

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Numerical and Algebraic Expressions
WorksheetThumbnail.jpg Worksheet: Combining Like Terms, Set 19 Getting Started with Finding Like Terms Worksheet

This is part of a collection of math worksheets on the topic of combining like terms in an expression. Learning how to identify the different variables in word problems can be an important step toward solving equations and finding like terms. First, read the word problem and try to identify each variable represented. Then, write down your expressions including each variable you’ve identified. This will help you visualize what needs to be solved, making it easier to find like terms in each equation.

—PRESS PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.

The next section provides background information on combining like terms.

Numerical Expressions and Variable Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 08

Worksheet: Converting Decimals to Percents Greater Than 100, Set 08

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 09

Worksheet: Converting Decimals to Percents Greater Than 100, Set 09

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 10

Worksheet: Converting Decimals to Percents Greater Than 100, Set 10

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 11

Worksheet: Converting Decimals to Percents Greater Than 100, Set 11

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 12

Worksheet: Converting Decimals to Percents Greater Than 100, Set 12

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 13

Worksheet: Converting Decimals to Percents Greater Than 100, Set 13

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 14

Worksheet: Converting Decimals to Percents Greater Than 100, Set 14

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 15

Worksheet: Converting Decimals to Percents Greater Than 100, Set 15

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 16

Worksheet: Converting Decimals to Percents Greater Than 100, Set 16

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 17

Worksheet: Converting Decimals to Percents Greater Than 100, Set 17

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 18

Worksheet: Converting Decimals to Percents Greater Than 100, Set 18

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 19

Worksheet: Converting Decimals to Percents Greater Than 100, Set 19

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 20

Worksheet: Converting Decimals to Percents Greater Than 100, Set 20

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 01

Worksheet: Converting Decimals to Percents That Include Decimals, Set 01

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 02

Worksheet: Converting Decimals to Percents That Include Decimals, Set 02

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 03

Worksheet: Converting Decimals to Percents That Include Decimals, Set 03

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 04

Worksheet: Converting Decimals to Percents That Include Decimals, Set 04

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 05

Worksheet: Converting Decimals to Percents That Include Decimals, Set 05

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 06

Worksheet: Converting Decimals to Percents That Include Decimals, Set 06

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 07

Worksheet: Converting Decimals to Percents That Include Decimals, Set 07

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 08

Worksheet: Converting Decimals to Percents That Include Decimals, Set 08

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 09

Worksheet: Converting Decimals to Percents That Include Decimals, Set 09

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 10

Worksheet: Converting Decimals to Percents That Include Decimals, Set 10

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents That Include Decimals, Set 11

Worksheet: Converting Decimals to Percents That Include Decimals, Set 11

This is part of a collection of math worksheets on the topic of converting decimals.

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Note: The download is a PDF file.

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Percents and Numerical Expressions