Illustrative Math Alignment: Grade 7 Unit 2
Introducing Proportional Relationships
Lesson 5: Two Equations for Each Relationship
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Ratios and Rates--Example 24 | Math Example--Ratios and Rates--Example 24TopicRatios and Rates DescriptionThis example explores unit conversion in a sports context, specifically converting a quarterback's pass distance from yards to feet. The image shows a silhouette of a quarterback throwing a football, providing a real-world scenario for the mathematical problem. Understanding unit conversions between yards and feet is crucial in many sports, especially American football. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of multiplication in sports-related measurement scenarios. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 25 | Math Example--Ratios and Rates--Example 25TopicRatios and Rates DescriptionThis example focuses on unit conversion in a geographic context, specifically converting the distance between San Antonio and Austin from miles to feet. The image shows a map of the route between these two Texas cities, providing a real-world scenario for the mathematical problem. Understanding unit conversions between miles and feet is important in various fields, including geography, transportation, and urban planning. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of multiplication in distance-related measurement scenarios. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 26 | Math Example--Ratios and Rates--Example 26TopicRatios and Rates DescriptionThis example focuses on time unit conversion, specifically converting hours to minutes in the context of a standardized test duration. The image shows a clock, providing a visual representation of time for the mathematical problem. Understanding time unit conversions is crucial in many aspects of daily life, including scheduling, time management, and test-taking. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of multiplication in time-related scenarios. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 27 | Math Example--Ratios and Rates--Example 27TopicRatios and Rates DescriptionThis example explores time unit conversion, specifically converting hours and minutes to seconds in the context of baking a pie. The image shows a steaming pie, providing a real-world scenario for the mathematical problem. Understanding time unit conversions, especially when dealing with mixed units, is important in various fields such as cooking, manufacturing, and project management. This example demonstrates how to use conversion factors to change units, illustrating the practical application of multiplication in time-related scenarios. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 28 | Math Example--Ratios and Rates--Example 28TopicRatios and Rates DescriptionThis example focuses on time unit conversion in a sports context, specifically converting minutes and seconds to seconds for a horse race lap time. The image shows a horse, providing a visual context for the mathematical problem. Understanding time unit conversions is crucial in many sports, especially those involving racing and timed events. This example demonstrates how to use conversion factors to change units and add different time units, illustrating the practical application of multiplication and addition in sports-related time scenarios. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 29 | Math Example--Ratios and Rates--Example 29TopicRatios and Rates DescriptionThis example explores time unit conversion in an IT context, specifically converting seconds to minutes for user session duration. The image shows a computer tower, providing a real-world scenario for the mathematical problem. Understanding time unit conversions is crucial in many technological fields, especially in IT and user experience analysis. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of division in time-related measurement scenarios. It also introduces the concept of mixed numbers in the result. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 3 | Math Example--Ratios and Rates--Example 3TopicRatios and Rates DescriptionThis example focuses on ratios using black and green socks. The image displays a collection of socks, and students are tasked with determining the ratio of black socks to green socks. The solution shows that there are 2 pairs of black socks and 6 pairs of green socks, resulting in a ratio of 2 : 6, which simplifies to 1 : 3. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 30 | Math Example--Ratios and Rates--Example 30TopicRatios and Rates DescriptionThis example focuses on time unit conversion in an IT context, specifically converting seconds to hours for user session duration. The image shows a computer tower, providing a real-world scenario for the mathematical problem. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 31 | Math Example--Ratios and Rates--Example 31TopicRatios and Rates DescriptionThis example focuses on temperature unit conversion, specifically converting Celsius to Fahrenheit for the boiling point of water. The image shows a beaker of boiling water, providing a visual context for the mathematical problem. Understanding temperature unit conversions is crucial in many scientific fields, including chemistry, physics, and meteorology. This example demonstrates how to use a conversion formula to change units, illustrating the practical application of mathematical equations in real-world temperature scenarios. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 32 | Math Example--Ratios and Rates--Example 32TopicRatios and Rates DescriptionThis example explores temperature unit conversion, specifically converting Fahrenheit to Celsius for the freezing point of water. The image shows icicles, providing a visual representation of the freezing temperature for the mathematical problem. |
Ratios and Rates |
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Math Example--Ratios and Rates--Example 4 | Math Example--Ratios and Rates--Example 4TopicRatios and Rates DescriptionThis example explores ratios using purple and red socks. The image shows a collection of socks, and students are asked to determine the ratio of purple socks to red socks. The solution reveals that there is 1 pair of purple socks and 4 pairs of red socks, resulting in a ratio of 1 : 4, which is already in its simplest form. |
Ratios and Rates |
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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 |
