Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 2

Introducing Ratios

Lesson 14: Solving Equivalent Ratio Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Interactive Quiz: Solving Proportions for d, Quiz 07, Level 1

Interactive Quiz: Solving Proportions for d, Quiz 07, Level 1

Interactive Quiz: Solving Proportions for d, Quiz 07, 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).

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

Quiz Library

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Proportions
Interactive Quiz: Solving Proportions for d, Quiz 07, Level 2

Interactive Quiz: Solving Proportions for d, Quiz 07, Level 2

Interactive Quiz: Solving Proportions for d, Quiz 07, 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 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.

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 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 1--Introduction to Ratios

Lesson Plan: Introduction to Ratios

In this foundational lesson, students embark on a journey to understand the concept of ratios, a crucial building block in mathematics that compares two or more quantities. Through engaging activities and practical examples, learners will:

Ratios and Rates
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 4--Percents and Measurement

Lesson Plan: Percents and Measurement

This comprehensive lesson plan is designed to introduce sixth-grade students to the concept of percents, emphasizing their relationship to fractions and decimals. Through engaging activities, detailed examples, and practical applications, students will develop a strong foundation in interpreting and solving percent problems in various real-world contexts.

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 1--Introduction to Ratios and Unit Rates

Lesson Plan: Introduction to Ratios and Unit Rates

This lesson introduces seventh-grade students to ratios and unit rates, emphasizing their real-world applications. Through engaging activities and problem-solving exercises, students will develop proportional reasoning skills.

Ratios and Rates
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 3--Identifying Proportional Relationships

Lesson Plan: Identifying Proportional Relationships

In this engaging Grade 7 math lesson, students will explore how to recognize and analyze proportional relationships. Using tables and graphs, learners will determine whether two quantities are proportional and identify the constant of proportionality. This lesson aligns with Common Core Standard 7.RP.A.2 and helps students build foundational skills in ratio and proportion concepts.

Topics covered include:

Recognizing proportional relationships in tables and graphsUnderstanding the constant of proportionalityIdentifying linear relationships that pass through the origin

Subscribers to Media4Math can download this lesson in PDF format for easy classroom use.

Proportions and Applications of Linear Functions
Lesson Plans

Lesson Plan--Ratios, Proportions, and Percents (Gr 7)--Lesson 4--Representing Proportional Relationships

Lesson Plan: Representing Proportional Relationships

Lesson Summary

In this lesson, students will explore different ways to represent proportional relationships using tables, graphs, and equations. They will analyze proportional relationships in real-world contexts and learn how to determine the constant of proportionality. The lesson emphasizes how proportional relationships appear as linear functions that pass through the origin when graphed.

Students will practice:

Proportions
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 2--Solving Percent Problems Using Proportional Reasoning

Lesson Plan: Solving Percent Problems

In this lesson, students will develop their problem-solving skills by learning multiple strategies for solving percent problems. Using proportions and equations, they will calculate percent increase, percent decrease, discounts, taxes, commissions, and simple interest. This lesson builds on proportional reasoning skills and applies them to real-world financial and mathematical situations.

Key concepts covered in this lesson include:

Percents
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
Lesson Plans

Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 5--Analyzing and Comparing Linear Relationships, Including Parallel and Perpendicular Lines

Lesson Plan: Parallel and Perpendicular Lines

In this lesson, students explore the properties of parallel and perpendicular lines in coordinate geometry. They will learn how to identify these lines based on their slopes, determine equations for parallel and perpendicular lines, and apply these concepts to solve real-world and mathematical problems.

Key concepts covered in this lesson include:

Graphs of Linear Functions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 1

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 1

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 1

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 10

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 10

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 10

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 11

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 11

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 11

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 2

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 2

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 2

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 3

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 3

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 3

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 4

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 4

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 4

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 5

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 5

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 5

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 6

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 6

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 6

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 7

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 7

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 7

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 8

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 8

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 8

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 9

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 9

Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 9

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 1

Math Clip Art--Applications of Proportions--Exchange Rates 1

Math Clip Art--Applications of Proportions--Exchange Rates 1

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 10

Math Clip Art--Applications of Proportions--Exchange Rates 10

Math Clip Art--Applications of Proportions--Exchange Rates 10

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 11

Math Clip Art--Applications of Proportions--Exchange Rates 11

Math Clip Art--Applications of Proportions--Exchange Rates 11

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 2

Math Clip Art--Applications of Proportions--Exchange Rates 2

Math Clip Art--Applications of Proportions--Exchange Rates 2

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 3

Math Clip Art--Applications of Proportions--Exchange Rates 3

Math Clip Art--Applications of Proportions--Exchange Rates 3

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 4

Math Clip Art--Applications of Proportions--Exchange Rates 4

Math Clip Art--Applications of Proportions--Exchange Rates 4

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 5

Math Clip Art--Applications of Proportions--Exchange Rates 5

Math Clip Art--Applications of Proportions--Exchange Rates 5

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 6

Math Clip Art--Applications of Proportions--Exchange Rates 6

Math Clip Art--Applications of Proportions--Exchange Rates 6

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 7

Math Clip Art--Applications of Proportions--Exchange Rates 7

Math Clip Art--Applications of Proportions--Exchange Rates 7

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 8

Math Clip Art--Applications of Proportions--Exchange Rates 8

Math Clip Art--Applications of Proportions--Exchange Rates 8

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 9

Math Clip Art--Applications of Proportions--Exchange Rates 9

Math Clip Art--Applications of Proportions--Exchange Rates 9

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportional Reasoning 1

Math Clip Art--Applications of Ratios and Proportional Reasoning 1

Math Clip Art--Applications of Ratios and Proportional Reasoning 1

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Ratios and Rates and Percents