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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 2

Introducing Proportional Relationships

Lesson 14: Four Representations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Interactive Quiz: Solving Proportions for d, Quiz 07, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 07, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 07, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

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Proportions
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 1 Interactive Quiz: Solving Proportions for d, Quiz 08, Level 1 Interactive Quiz: Solving Proportions for d, Quiz 08, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2 Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2 Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1 Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1 Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2 Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2 Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1 Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1 Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2 Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2 Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3 Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3

This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Proportions
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 6)--Lesson 2--Equivalent Ratios and Proportional Relationships Lesson Plan: Equivalent Ratios and Proportional Relationships

In this lesson, students will deepen their understanding of equivalent ratios and their role in proportional reasoning. By exploring real-world applications, students will develop the skills to recognize, create, and use equivalent ratios in practical situations. The lesson introduces multiple strategies for working with equivalent ratios, including ratio tables, scaling up and down, and solving problems using proportional reasoning.

Key components of this lesson include:

Ratios and Rates and Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 6)--Lesson 2--Equivalent Ratios and Proportional Relationships Lesson Plan: Equivalent Ratios and Proportional Relationships

In this lesson, students will deepen their understanding of equivalent ratios and their role in proportional reasoning. By exploring real-world applications, students will develop the skills to recognize, create, and use equivalent ratios in practical situations. The lesson introduces multiple strategies for working with equivalent ratios, including ratio tables, scaling up and down, and solving problems using proportional reasoning.

Key components of this lesson include:

Ratios and Rates and Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 6)--Lesson 3--Solving Ratio and Rate Problems Lesson Plan: Understanding Ratios and Rates

This lesson introduces sixth-grade students to ratios and rates, emphasizing their applications in real-world problem-solving. Through hands-on activities, students will learn how to calculate unit rates, interpret proportional relationships, and analyze data using tables and graphs.

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 6)--Lesson 3--Solving Ratio and Rate Problems Lesson Plan: Understanding Ratios and Rates

This lesson introduces sixth-grade students to ratios and rates, emphasizing their applications in real-world problem-solving. Through hands-on activities, students will learn how to calculate unit rates, interpret proportional relationships, and analyze data using tables and graphs.

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 6)--Lesson 3--Solving Ratio and Rate Problems Lesson Plan: Understanding Ratios and Rates

This lesson introduces sixth-grade students to ratios and rates, emphasizing their applications in real-world problem-solving. Through hands-on activities, students will learn how to calculate unit rates, interpret proportional relationships, and analyze data using tables and graphs.

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 6)--Lesson 5--Applying Ratios and Proportional Reasoning Lesson Plan: Applying Ratios and Proportional Reasoning

This lesson plan is designed to provide sixth-grade students with a comprehensive understanding of ratios, proportions, and percents. Through engaging activities, hands-on explorations, and real-world applications, learners develop essential skills in comparing quantities, scaling figures up or down, and converting between fractions, decimals, and percents. This lesson emphasizes critical thinking and problem-solving strategies that help students apply mathematical reasoning to everyday situations, such as adjusting recipes, budgeting, and analyzing data.

Key topics covered in this lesson include:

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 6)--Lesson 5--Applying Ratios and Proportional Reasoning Lesson Plan: Applying Ratios and Proportional Reasoning

This lesson plan is designed to provide sixth-grade students with a comprehensive understanding of ratios, proportions, and percents. Through engaging activities, hands-on explorations, and real-world applications, learners develop essential skills in comparing quantities, scaling figures up or down, and converting between fractions, decimals, and percents. This lesson emphasizes critical thinking and problem-solving strategies that help students apply mathematical reasoning to everyday situations, such as adjusting recipes, budgeting, and analyzing data.

Key topics covered in this lesson include:

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 7)--Lesson 2--Unit Rates and Complex Fractions Lesson Plan: Unit Rates and Complex Fractions

This lesson introduces seventh-grade students to unit rates and complex fractions, helping them develop a deeper understanding of proportional relationships and fraction operations. Students will learn to compute unit rates with fractional quantities, simplify complex fractions, and apply these skills to real-world situations such as speed calculations, recipe adjustments, and measurement conversions.

Ratios and Rates and Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 7)--Lesson 2--Unit Rates and Complex Fractions Lesson Plan: Unit Rates and Complex Fractions

This lesson introduces seventh-grade students to unit rates and complex fractions, helping them develop a deeper understanding of proportional relationships and fraction operations. Students will learn to compute unit rates with fractional quantities, simplify complex fractions, and apply these skills to real-world situations such as speed calculations, recipe adjustments, and measurement conversions.

Ratios and Rates and Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 7)--Lesson 5--Solving Multi-Step Ratio and Percent Problems Lesson Plan: Solving Multi-Step Ratio Problems

In this lesson, students will develop their problem-solving skills by tackling multi-step ratio and proportion problems. They will learn how to analyze complex ratio scenarios, apply proportional reasoning, and use unit conversions to solve real-world problems. This lesson builds on students' understanding of ratios and proportions, reinforcing their ability to work through multi-step calculations with confidence.

Key concepts covered in this lesson include:

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 7)--Lesson 5--Solving Multi-Step Ratio and Percent Problems Lesson Plan: Solving Multi-Step Ratio Problems

In this lesson, students will develop their problem-solving skills by tackling multi-step ratio and proportion problems. They will learn how to analyze complex ratio scenarios, apply proportional reasoning, and use unit conversions to solve real-world problems. This lesson builds on students' understanding of ratios and proportions, reinforcing their ability to work through multi-step calculations with confidence.

Key concepts covered in this lesson include:

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 7)--Lesson 5--Solving Multi-Step Ratio and Percent Problems Lesson Plan: Solving Multi-Step Ratio Problems

In this lesson, students will develop their problem-solving skills by tackling multi-step ratio and proportion problems. They will learn how to analyze complex ratio scenarios, apply proportional reasoning, and use unit conversions to solve real-world problems. This lesson builds on students' understanding of ratios and proportions, reinforcing their ability to work through multi-step calculations with confidence.

Key concepts covered in this lesson include:

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 7)--Lesson 5--Solving Multi-Step Ratio and Percent Problems Lesson Plan: Solving Multi-Step Ratio Problems

In this lesson, students will develop their problem-solving skills by tackling multi-step ratio and proportion problems. They will learn how to analyze complex ratio scenarios, apply proportional reasoning, and use unit conversions to solve real-world problems. This lesson builds on students' understanding of ratios and proportions, reinforcing their ability to work through multi-step calculations with confidence.

Key concepts covered in this lesson include:

Applications of Ratios, Proportions, and Percents
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 1--Understanding Ratios, Proportional Relationships, and Rational Numbers Lesson Plan: Ratios and Proportional Relationships

In this lesson, students explore ratios and proportional relationships, building on their prior knowledge to deepen their understanding of proportional reasoning. They will analyze proportional relationships in tables, graphs, and equations while identifying the constant of proportionality and its significance in real-world applications.

Key concepts covered in this lesson include:

Ratios and Rates, Percents and Proportions
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 1--Understanding Ratios, Proportional Relationships, and Rational Numbers Lesson Plan: Ratios and Proportional Relationships

In this lesson, students explore ratios and proportional relationships, building on their prior knowledge to deepen their understanding of proportional reasoning. They will analyze proportional relationships in tables, graphs, and equations while identifying the constant of proportionality and its significance in real-world applications.

Key concepts covered in this lesson include:

Ratios and Rates, Percents and Proportions
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 1--Understanding Ratios, Proportional Relationships, and Rational Numbers Lesson Plan: Ratios and Proportional Relationships

In this lesson, students explore ratios and proportional relationships, building on their prior knowledge to deepen their understanding of proportional reasoning. They will analyze proportional relationships in tables, graphs, and equations while identifying the constant of proportionality and its significance in real-world applications.

Key concepts covered in this lesson include:

Ratios and Rates, Percents and Proportions
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 3--Graphing and Interpreting Proportional Relationships Lesson Plan: Graphing and Interpreting Proportional Relationships

In this lesson, students will explore how to represent and analyze proportional relationships using graphs, tables, and equations. They will learn that proportional relationships follow the equation y=kx, where k is the constant of proportionality, and that these relationships always form a straight line passing through the origin on a coordinate plane.

Key concepts covered in this lesson include:

Applications of Ratios, Proportions, and Percents and Proportions
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 3--Graphing and Interpreting Proportional Relationships Lesson Plan: Graphing and Interpreting Proportional Relationships

In this lesson, students will explore how to represent and analyze proportional relationships using graphs, tables, and equations. They will learn that proportional relationships follow the equation y=kx, where k is the constant of proportionality, and that these relationships always form a straight line passing through the origin on a coordinate plane.

Key concepts covered in this lesson include:

Applications of Ratios, Proportions, and Percents and Proportions
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 3--Graphing and Interpreting Proportional Relationships Lesson Plan: Graphing and Interpreting Proportional Relationships

In this lesson, students will explore how to represent and analyze proportional relationships using graphs, tables, and equations. They will learn that proportional relationships follow the equation y=kx, where k is the constant of proportionality, and that these relationships always form a straight line passing through the origin on a coordinate plane.

Key concepts covered in this lesson include:

Applications of Ratios, Proportions, and Percents and Proportions
Lesson Plans Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 4--Understanding Direct Variation and Its Connection to Proportional Relationships Lesson Plan: Direct Variations

In this lesson, students will explore direct variation, a special type of proportional relationship where one variable is a constant multiple of another. They will learn how to identify direct variation in tables, graphs, and equations, determine the constant of variation (k), and understand how direct variation relates to linear functions.

Key concepts covered in this lesson include:

Applications of Linear Functions and Applications of Ratios, Proportions, and Percents
Math Clip Art: 3D Objects--Gear 1 Math Clip Art--3D Objects--Gear 1 Math Clip Art--3D Objects--Gear 1

This collection of clip art images includes images of 3D figures and composite figures.

Applications of Ratios, Proportions, and Percents and Proportions
Math Clip Art: 3D Objects--Gear 1 Math Clip Art--3D Objects--Gear 1 Math Clip Art--3D Objects--Gear 1

This collection of clip art images includes images of 3D figures and composite figures.

Applications of Ratios, Proportions, and Percents and Proportions
Math Clip Art: 3D Objects--Gear 2 Math Clip Art--3D Objects--Gear 2 Math Clip Art--3D Objects--Gear 2

This collection of clip art images includes images of 3D figures and composite figures.

Applications of Ratios, Proportions, and Percents and Proportions
Math Clip Art: 3D Objects--Gear 2 Math Clip Art--3D Objects--Gear 2 Math Clip Art--3D Objects--Gear 2

This collection of clip art images includes images of 3D figures and composite figures.

Applications of Ratios, Proportions, and Percents and Proportions
Math Clip Art: 3D Objects--Gear 3 Math Clip Art--3D Objects--Gear 3 Math Clip Art--3D Objects--Gear 3

This collection of clip art images includes images of 3D figures and composite figures.

Applications of Ratios, Proportions, and Percents and Proportions
Math Clip Art: 3D Objects--Gear 3 Math Clip Art--3D Objects--Gear 3 Math Clip Art--3D Objects--Gear 3

This collection of clip art images includes images of 3D figures and composite figures.

Applications of Ratios, Proportions, and Percents and Proportions
Math Clip Art--Applications of Direct Variations--Circles 1 Math Clip Art--Applications of Direct Variations--Circles 1 Math Clip Art--Applications of Direct Variations--Circles 1

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 1 Math Clip Art--Applications of Direct Variations--Circles 1 Math Clip Art--Applications of Direct Variations--Circles 1

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 2 Math Clip Art--Applications of Direct Variations--Circles 2 Math Clip Art--Applications of Direct Variations--Circles 2

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 2 Math Clip Art--Applications of Direct Variations--Circles 2 Math Clip Art--Applications of Direct Variations--Circles 2

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 3 Math Clip Art--Applications of Direct Variations--Circles 3 Math Clip Art--Applications of Direct Variations--Circles 3

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 3 Math Clip Art--Applications of Direct Variations--Circles 3 Math Clip Art--Applications of Direct Variations--Circles 3

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 4 Math Clip Art--Applications of Direct Variations--Circles 4 Math Clip Art--Applications of Direct Variations--Circles 4

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 4 Math Clip Art--Applications of Direct Variations--Circles 4 Math Clip Art--Applications of Direct Variations--Circles 4

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 5 Math Clip Art--Applications of Direct Variations--Circles 5 Math Clip Art--Applications of Direct Variations--Circles 5

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 5 Math Clip Art--Applications of Direct Variations--Circles 5 Math Clip Art--Applications of Direct Variations--Circles 5

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 6 Math Clip Art--Applications of Direct Variations--Circles 6 Math Clip Art--Applications of Direct Variations--Circles 6

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 6 Math Clip Art--Applications of Direct Variations--Circles 6 Math Clip Art--Applications of Direct Variations--Circles 6

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 7 Math Clip Art--Applications of Direct Variations--Circles 7 Math Clip Art--Applications of Direct Variations--Circles 7

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 7 Math Clip Art--Applications of Direct Variations--Circles 7 Math Clip Art--Applications of Direct Variations--Circles 7

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions