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.
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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 |
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VIDEO: Algebra Applications: Data Analysis, 4 | VIDEO: Algebra Applications: Data Analysis, 4
TopicData Analysis DescriptionAdjustable-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 |
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VIDEO: Algebra Applications: Variables and Equations, 3 | VIDEO: Algebra Applications: Variables and Equations, 3
TopicEquations DescriptionThe 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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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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.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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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.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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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.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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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 |
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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.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Definition of a Circle |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
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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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Ratios and Rates |
