Illustrative Math Alignment: Grade 7 Unit 2
Introducing Proportional Relationships
Lesson 9: Solving Problems about Proportional Relationships
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Ratios and Rates--Example 5 | Math Example--Ratios and Rates--Example 5TopicRatios and Rates DescriptionThis example focuses on ratios using black and green socks among a variety of colored socks. The image displays pairs of socks in black, green, orange, yellow, blue, and red. Students are asked to determine the ratio of black socks to green socks. The solution shows that there are 2 pairs of black socks and 10 pairs of green socks, resulting in a ratio of 2 : 10, which simplifies to 1 : 5. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 6 | Math Example--Ratios and Rates--Example 6TopicRatios and Rates DescriptionThis example explores ratios using geometric shapes of different colors. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of circular shapes to yellow objects. The solution reveals that there are 2 circular shapes and 1 yellow object, resulting in a ratio of 2 : 1, which is already in its simplest form. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 7 | Math Example--Ratios and Rates--Example 7TopicRatios and Rates DescriptionThis example focuses on ratios using geometric shapes. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of triangles to quadrilaterals. The solution shows that there are 4 triangles and 6 quadrilaterals, resulting in a ratio of 4 : 6, which simplifies to 2 : 3. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 8 | Math Example--Ratios and Rates--Example 8TopicRatios and Rates DescriptionThis example explores ratios using geometric shapes and colors. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of octagons to blue shapes. The solution reveals that there are 2 octagons and 5 blue shapes, resulting in a ratio of 2 : 5, which is already in its simplest form. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 9 | Math Example--Ratios and Rates--Example 9TopicRatios and Rates DescriptionThis example introduces the concept of ratios in genetics using a Punnett square. The image shows genetic combinations for a flower's color, including RR, Rw, and ww, with corresponding images of red and white flowers. Students are asked to determine the ratio of different gene combinations. |
Ratios and Rates |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math in the News: Issue 86--The Rise of the Chinese Yuan | Math in the News: Issue 86--The Rise of the Chinese Yuan
January 2014. In this issue of Math in the News we look at the foreign exchange market and the rise of the Chinese Yuan. The Yuan has become a significant player in the foreign exchange market and we look at currency exchange, and how to convert from one currency to another by solving a proportion. This issue provides an excellent opportunity to introduce the mathematics of money on the international market. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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Math in the News: Issue 99--What Is Bitcoin? | Math in the News: Issue 99--What Is Bitcoin?
May 2014. In this issue of Math in the News we explore Bitcoin. We look at how it's used for making purchases and how it differs from other currencies. This provides an opportunity to apply the concept of currency exchange. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents and Proportions |
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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1 | Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 1
This is part of a collection of math quizzes on the topic of solving one-step equations. 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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Proportions |
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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 2 | Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, 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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Proportions |
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Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, Level 3 | Paper-and-Pencil Quiz: Solving Proportions for a, Quiz 01, 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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Proportions |
