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 |
|---|---|---|---|
|
Video Tutorial: Ratios, Video 7 | Video Tutorial: Ratios, Video 7
TopicRatios DescriptionThis 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 |
|
Video Tutorial: Ratios, Video 8 | Video Tutorial: Ratios, Video 8
TopicRatios DescriptionThis 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 |
|
Video Tutorial: Ratios, Video 9 | Video Tutorial: Ratios, Video 9
TopicRatios DescriptionThe 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 |
|
Video Tutorial: Ratios, Video 10 | Video Tutorial: Ratios, Video 10
TopicRatios DescriptionProportions 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, 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 |
|
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 |
|
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, 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, 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, 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, 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, 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, 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 |
|
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 |
|
|
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 |
|
|
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 |
|
|
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 |
|
|
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 |
|
|
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 |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
|
|
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. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link. |
Percents and Numerical Expressions |
