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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
Math Clip Art Math Clip Art--Percent Visualizations 2 Math Clip Art--Percent Visualizations 2

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 3 Math Clip Art--Percent Visualizations 3

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 4 Math Clip Art--Percent Visualizations 4

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 5 Math Clip Art--Percent Visualizations 5

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 6 Math Clip Art--Percent Visualizations 6

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 7 Math Clip Art--Percent Visualizations 7

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 8 Math Clip Art--Percent Visualizations 8

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art Math Clip Art--Percent Visualizations 9 Math Clip Art--Percent Visualizations 9

This is a collection of clip art images that show visual models for percents.

Ratios and Rates and Percents
Math Clip Art--Rates and Tape Diagrams: Cooking 1 Math Clip Art--Rates and Tape Diagrams: Cooking 1 Math Clip Art--Rates and Tape Diagrams: Cooking 1

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 10 Math Clip Art--Rates and Tape Diagrams: Cooking 10 Math Clip Art--Rates and Tape Diagrams: Cooking 10

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 11 Math Clip Art--Rates and Tape Diagrams: Cooking 11 Math Clip Art--Rates and Tape Diagrams: Cooking 11

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 2 Math Clip Art--Rates and Tape Diagrams: Cooking 2 Math Clip Art--Rates and Tape Diagrams: Cooking 2

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 3 Math Clip Art--Rates and Tape Diagrams: Cooking 3 Math Clip Art--Rates and Tape Diagrams: Cooking 3

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 4 Math Clip Art--Rates and Tape Diagrams: Cooking 4 Math Clip Art--Rates and Tape Diagrams: Cooking 4

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 5 Math Clip Art--Rates and Tape Diagrams: Cooking 5 Math Clip Art--Rates and Tape Diagrams: Cooking 5

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 6 Math Clip Art--Rates and Tape Diagrams: Cooking 6 Math Clip Art--Rates and Tape Diagrams: Cooking 6

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 7 Math Clip Art--Rates and Tape Diagrams: Cooking 7 Math Clip Art--Rates and Tape Diagrams: Cooking 7

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 8 Math Clip Art--Rates and Tape Diagrams: Cooking 8 Math Clip Art--Rates and Tape Diagrams: Cooking 8

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 9 Math Clip Art--Rates and Tape Diagrams: Cooking 9 Math Clip Art--Rates and Tape Diagrams: Cooking 9

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 1 Math Clip Art--Ratios, Proportions, Percents--Percent Change 01 Math Clip Art--Ratios, Proportions, Percents--Percent Change 01

Topic

Ratios, Proportions, and Percents

Description

The image introduces the concept of percent change with the formula: Percent Change = (New - Original) / Original * 100%. It establishes the formula as the foundation for understanding percent change throughout the sequence.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 2 Math Clip Art--Ratios, Proportions, Percents--Percent Change 02 Math Clip Art--Ratios, Proportions, Percents--Percent Change 02

Topic

Ratios, Proportions, and Percents

Description

This image explains that percent increase measures the change from one number to a greater number. It provides context for when to apply the concept of percent increase in real-life scenarios.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 3 Math Clip Art--Ratios, Proportions, Percents--Percent Change 03 Math Clip Art--Ratios, Proportions, Percents--Percent Change 03

Topic

Ratios, Proportions, and Percents

Description

This image highlights that the numerical increase is the difference between the new and original values. It adds clarity by breaking down the calculation into a numerical difference.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 4 Math Clip Art--Ratios, Proportions, Percents--Percent Change 04 Math Clip Art--Ratios, Proportions, Percents--Percent Change 04

Topic

Ratios, Proportions, and Percents

Description

This image demonstrates how numerical increase is represented as fractional change using the formula: (b - a) / a. It bridges numerical increase to fractional change, setting up for conversion to percent increase.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 5 Math Clip Art--Ratios, Proportions, Percents--Percent Change 05 Math Clip Art--Ratios, Proportions, Percents--Percent Change 05

Topic

Ratios, Proportions, and Percents

Description

This image shows the formula for percent change as a fractional change expressed as a percentage: (b - a) / a * 100%. It reinforces the connection between fractional change and percent increase as part of the calculation process.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 6 Math Clip Art--Ratios, Proportions, Percents--Percent Change 06 Math Clip Art--Ratios, Proportions, Percents--Percent Change 06

Topic

Ratios, Proportions, and Percents

Description

This image provides an example of a percent increase calculation from 8 to 10, resulting in 25%. It offers a practical example to illustrate how the formula is applied to real numbers.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 7 Math Clip Art--Ratios, Proportions, Percents--Percent Change 07 Math Clip Art--Ratios, Proportions, Percents--Percent Change 07

Topic

Ratios, Proportions, and Percents

Description

This image reiterates the example calculation, emphasizing that the change from 8 to 10 is a 25% increase. It reinforces understanding by repeating the example with emphasis on the interpretation of the result.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 8 Math Clip Art--Ratios, Proportions, Percents--Percent Change 08 Math Clip Art--Ratios, Proportions, Percents--Percent Change 08

Topic

Ratios, Proportions, and Percents

Description

This image defines percent decrease as the change from one number to a lesser number. It introduces the complementary concept of percent decrease to show both directions of percent change.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 9 Math Clip Art--Ratios, Proportions, Percents--Percent Change 09 Math Clip Art--Ratios, Proportions, Percents--Percent Change 09

Topic

Ratios, Proportions, and Percents

Description

This image explains that numerical decrease is the difference between the new and original values. It mirrors the earlier explanation of numerical increase, ensuring consistency in presenting both cases.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 10 Math Clip Art--Ratios, Proportions, Percents--Percent Change 10 Math Clip Art--Ratios, Proportions, Percents--Percent Change 10

Topic

Ratios, Proportions, and Percents

Description

This image demonstrates fractional change for a decrease using the formula: (b - a) / a. It completes the explanation of percent change by connecting numerical decrease to fractional representation.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 11 Math Clip Art--Ratios, Proportions, Percents--Percent Change 11 Math Clip Art--Ratios, Proportions, Percents--Percent Change 11

Topic

Ratios, Proportions, and Percents

Description

This image explains that percent decrease represents fractional change expressed as a percentage: (b - a) / a * 100%. It extends the explanation to show how fractional change can be converted to percent decrease.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 12 Math Clip Art--Ratios, Proportions, Percents--Percent Change 12 Math Clip Art--Ratios, Proportions, Percents--Percent Change 12

Topic

Ratios, Proportions, and Percents

Description

This image provides an example of a percent decrease calculation from 10 to 8, resulting in -20%. It offers a practical example illustrating the application of the formula to calculate percent decrease.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Percent Change, Image 13 Math Clip Art--Ratios, Proportions, Percents--Percent Change 13 Math Clip Art--Ratios, Proportions, Percents--Percent Change 13

Topic

Ratios, Proportions, and Percents

Description

This image reiterates the example, emphasizing that the change from 10 to 8 represents a 20% decrease. It reinforces understanding by summarizing the example with focus on the final interpretation of the result.

Math clip art provides a visual and engaging way to explore complex mathematical concepts such as percent change. These examples illustrate how numbers, fractions, and percentages are interconnected, helping to build students' numerical reasoning skills.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 1 Math Clip Art--Ratios, Proportions, Percents--Percents 01 Math Clip Art--Ratios, Proportions, Percents--Percents 01

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of an introductory image that visually connects percents with proportions, showcasing a grid and a formula (a / b = c / d) next to a hurdler and a large percent sign. The golden ratio a / b = 1.618 is also present, symbolizing relationships, and expands on this idea by showing that serves as a thematic and conceptual introduction to percents by emphasizing proportional relationships and the idea of ratios.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 2 Math Clip Art--Ratios, Proportions, Percents--Percents 02 Math Clip Art--Ratios, Proportions, Percents--Percents 02

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of fractions with different denominators: 1/4, 2/5, 5/6, and 5/8, each depicted as shaded portions of circles. and expands on this idea by showing that highlights the challenge of comparing fractions with different denominators, setting up the need for a common framework such as percents.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 3 Math Clip Art--Ratios, Proportions, Percents--Percents 03 Math Clip Art--Ratios, Proportions, Percents--Percents 03

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of and expands on the previous image by comparing and ordering the fractions using inequality symbols: 1/4 < 2/5 < 5/8 < 5/6. This image expands on this idea by emphasizing the difficulty of comparing fractions and transitions to the rationale for using percents as a standard for comparison.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 4 Math Clip Art--Ratios, Proportions, Percents--Percents 04 Math Clip Art--Ratios, Proportions, Percents--Percents 04

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of converting the fractions 1/4, 2/5, 5/6, and 5/8 into percents (25%, 40%, 83.33%, 62.5%) with their corresponding pie diagrams. It expands on this idea by showing that introduces percents as an easier method for comparing fractions by representing them with a common denominator of 100.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 5 Math Clip Art--Ratios, Proportions, Percents--Percents 05 Math Clip Art--Ratios, Proportions, Percents--Percents 05

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of how fractions such as 3/4 and 3/5 convert to percents (75% and 60%) using shaded 10 x 10 grids. It expands on this idea by showing the concept of percents using a visual and tangible representation, reinforcing the idea of 100 as the base for comparison.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 6 Math Clip Art--Ratios, Proportions, Percents--Percents 06 Math Clip Art--Ratios, Proportions, Percents--Percents 06

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of connecting coins (1¢, 5¢, 10¢, 25¢) to their percent values of a dollar (1%, 5%, 10%, 25%). It expands on this idea by establishing a real-world application of percents, showing their utility in everyday contexts like money.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 7 Math Clip Art--Ratios, Proportions, Percents--Percents 07 Math Clip Art--Ratios, Proportions, Percents--Percents 07

Topic

Ratios, Proportions, and Percents

Description

The image illustrates percentages as fractions with a denominator of 100, such as 10% = 10 / 100, 15% = 15 / 100, and so on. It expands on this idea by showing how percents relate to fractions, reinforcing their equivalency and further grounding the concept.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 8 Math Clip Art--Ratios, Proportions, Percents--Percents 08 Math Clip Art--Ratios, Proportions, Percents--Percents 08

Topic

Ratios, Proportions, and Percents

Description

The image illustrates how to convert 1/4 to a percent using the proportion method: (1 / 4 = x / 100), solving for x = 25%. and expands on this idea by showing that provides a step-by-step method to convert fractions to percents, introducing proportional reasoning.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 9 Math Clip Art--Ratios, Proportions, Percents--Percents 09 Math Clip Art--Ratios, Proportions, Percents--Percents 09

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of converting a fraction to a percent using proportions, with 2/5 converting to 40%. and expands on this idea by showing that reinforces the proportion method with another example, building understanding through repetition.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 10 Math Clip Art--Ratios, Proportions, Percents--Percents 10 Math Clip Art--Ratios, Proportions, Percents--Percents 10

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of converting fractions to percents, dividing 5 by 8 to get 62.5% and expands on this idea by showing an alternative method for conversion, allowing for flexibility in approaches.

The topic of Ratios, Proportions, and Percents explores fundamental math concepts by using practical examples. This collection aids in visualizing the connection between different mathematical forms such as ratios, percents, and fractions, making abstract concepts more accessible to students.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 11 Math Clip Art--Ratios, Proportions, Percents--Percents 11 Math Clip Art--Ratios, Proportions, Percents--Percents 11

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of the general equation for percents: a% * x = y, using the example 10% * 50 = 5. It emphasizes the three components of a percent equation: the percent, a base number, and the result, and expands on this idea by showing that establishes the foundational equation for solving percent problems, serving as a gateway to explore specific types of percent equations.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 12 Math Clip Art--Ratios, Proportions, Percents--Percents 12 Math Clip Art--Ratios, Proportions, Percents--Percents 12

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of how to solve the question 'what is 15% of 250?' using the equation a% * x = y, with calculations explicitly shown as 15 * 2.5 = 37.5. and expands on this idea by showing that provides a clear, step-by-step example to apply the general percent equation, enhancing comprehension through practical application.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 13 Math Clip Art--Ratios, Proportions, Percents--Percents 13 Math Clip Art--Ratios, Proportions, Percents--Percents 13

Topic

Ratios, Proportions, and Percents

Description

The image illustrates the concept of solving '150 is 30% of what number?' using the same equation a% * x = y and algebraic manipulation to find x = 500 and expands on this idea by showing that explains how to rearrange the percent equation to solve for different variables, expanding on problem-solving strategies.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 14 Math Clip Art--Ratios, Proportions, Percents--Percents 14 Math Clip Art--Ratios, Proportions, Percents--Percents 14

Topic

Ratios, Proportions, and Percents

Description

The image illustrates solving the problem 'what percent of 90 is 45?' using the equation a% * x = y, and algebraically finding a% = 50% and expands on this idea by showing that demonstrates how to find the percent in percent equations, further developing flexibility in solving percent-related problems.

Percents
Math Clip Art--Ratios, Proportions, Percents--Intro to Percents, Image 15 Math Clip Art--Ratios, Proportions, Percents--Percents 15 Math Clip Art--Ratios, Proportions, Percents--Percents 15

Topic

Ratios, Proportions, and Percents

Description

The image summarizes the three types of percent equations in a table format, highlighting the unknown variable in each scenario (percent, part, or whole) and expands on this idea by providing a comprehensive overview and categorization of percent problems, solidifying the framework introduced in earlier examples.

Percents
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 1 Math Clip Art--Ratios, Proportions, Percents--Proportions 01 Math Clip Art--Ratios, Proportions, Percents--Proportions 01

Topic

Ratios, Proportions, and Percents

Description

This image showcases the concept of proportions using a dynamic visual of a runner in action framed within a golden ratio spiral. The proportion is represented algebraically as a/b = c/d, linking visual and mathematical representations. It introduces proportions conceptually and visually, setting the foundation for the subsequent examples.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 2 Math Clip Art--Ratios, Proportions, Percents--Proportions 02 Math Clip Art--Ratios, Proportions, Percents--Proportions 02

Topic

Ratios, Proportions, and Percents

Description

This image illustrates proportions using two equivalent ratios, represented by measuring cups and cupcakes. It simplifies proportions to relatable everyday examples. It connects proportions to practical examples, emphasizing the real-world relevance.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 3 Math Clip Art--Ratios, Proportions, Percents--Proportions 03 Math Clip Art--Ratios, Proportions, Percents--Proportions 03

Topic

Ratios, Proportions, and Percents

Description

This image uses coins to demonstrate proportions. The image compares groups of quarters and nickels to highlight equivalent ratios (3:1 and 6:2). It solidifies the concept of equivalent ratios through another real-life example, reinforcing the idea.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions