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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 12: Using a Trundle Wheel to Measure Distances

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
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: 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.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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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.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

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Worksheet Library

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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.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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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.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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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.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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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: Crossword Puzzle--Circles Worksheet: Crossword Puzzle--Circles

This is part of a collection of math worksheets that are crossword puzzles of math vocabulary.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Definition of a Circle
Worksheet: Unit Rates and Data Tables, Worksheet 01 Worksheet: Unit Rates and Data Tables, Worksheet 01 Worksheet: Unit Rates and Data Tables, Worksheet 01

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 02 Worksheet: Unit Rates and Data Tables, Worksheet 02 Worksheet: Unit Rates and Data Tables, Worksheet 02

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 03 Worksheet: Unit Rates and Data Tables, Worksheet 03 Worksheet: Unit Rates and Data Tables, Worksheet 03

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 04 Worksheet: Unit Rates and Data Tables, Worksheet 04 Worksheet: Unit Rates and Data Tables, Worksheet 04

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 05 Worksheet: Unit Rates and Data Tables, Worksheet 05 Worksheet: Unit Rates and Data Tables, Worksheet 05

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 06 Worksheet: Unit Rates and Data Tables, Worksheet 06 Worksheet: Unit Rates and Data Tables, Worksheet 06

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 07 Worksheet: Unit Rates and Data Tables, Worksheet 07 Worksheet: Unit Rates and Data Tables, Worksheet 07

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 08 Worksheet: Unit Rates and Data Tables, Worksheet 08 Worksheet: Unit Rates and Data Tables, Worksheet 08

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 09 Worksheet: Unit Rates and Data Tables, Worksheet 09 Worksheet: Unit Rates and Data Tables, Worksheet 09

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 10 Worksheet: Unit Rates and Data Tables, Worksheet 10 Worksheet: Unit Rates and Data Tables, Worksheet 10

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 11 Worksheet: Unit Rates and Data Tables, Worksheet 11 Worksheet: Unit Rates and Data Tables, Worksheet 11

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 12 Worksheet: Unit Rates and Data Tables, Worksheet 12 Worksheet: Unit Rates and Data Tables, Worksheet 12

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 13 Worksheet: Unit Rates and Data Tables, Worksheet 13 Worksheet: Unit Rates and Data Tables, Worksheet 13

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 14 Worksheet: Unit Rates and Data Tables, Worksheet 14 Worksheet: Unit Rates and Data Tables, Worksheet 14

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 15 Worksheet: Unit Rates and Data Tables, Worksheet 15 Worksheet: Unit Rates and Data Tables, Worksheet 15

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 16 Worksheet: Unit Rates and Data Tables, Worksheet 16 Worksheet: Unit Rates and Data Tables, Worksheet 16

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 17 Worksheet: Unit Rates and Data Tables, Worksheet 17 Worksheet: Unit Rates and Data Tables, Worksheet 17

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 18 Worksheet: Unit Rates and Data Tables, Worksheet 18 Worksheet: Unit Rates and Data Tables, Worksheet 18

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 19 Worksheet: Unit Rates and Data Tables, Worksheet 19 Worksheet: Unit Rates and Data Tables, Worksheet 19

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 20 Worksheet: Unit Rates and Data Tables, Worksheet 20 Worksheet: Unit Rates and Data Tables, Worksheet 20

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 21 Worksheet: Unit Rates and Data Tables, Worksheet 21 Worksheet: Unit Rates and Data Tables, Worksheet 21

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 22 Worksheet: Unit Rates and Data Tables, Worksheet 22 Worksheet: Unit Rates and Data Tables, Worksheet 22

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 23 Worksheet: Unit Rates and Data Tables, Worksheet 23 Worksheet: Unit Rates and Data Tables, Worksheet 23

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 24 Worksheet: Unit Rates and Data Tables, Worksheet 24 Worksheet: Unit Rates and Data Tables, Worksheet 24

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 25 Worksheet: Unit Rates and Data Tables, Worksheet 25 Worksheet: Unit Rates and Data Tables, Worksheet 25

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 26 Worksheet: Unit Rates and Data Tables, Worksheet 26 Worksheet: Unit Rates and Data Tables, Worksheet 26

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 27 Worksheet: Unit Rates and Data Tables, Worksheet 27 Worksheet: Unit Rates and Data Tables, Worksheet 27

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 28 Worksheet: Unit Rates and Data Tables, Worksheet 28 Worksheet: Unit Rates and Data Tables, Worksheet 28

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 29 Worksheet: Unit Rates and Data Tables, Worksheet 29 Worksheet: Unit Rates and Data Tables, Worksheet 29

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 30 Worksheet: Unit Rates and Data Tables, Worksheet 30 Worksheet: Unit Rates and Data Tables, Worksheet 30

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 31 Worksheet: Unit Rates and Data Tables, Worksheet 31 Worksheet: Unit Rates and Data Tables, Worksheet 31

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 32 Worksheet: Unit Rates and Data Tables, Worksheet 32 Worksheet: Unit Rates and Data Tables, Worksheet 32

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates
Worksheet: Unit Rates and Data Tables, Worksheet 33 Worksheet: Unit Rates and Data Tables, Worksheet 33 Worksheet: Unit Rates and Data Tables, Worksheet 33

This is part of a collection of math worksheets on the topic of unit rates.

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Ratios and Rates