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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 3

Unit Rates and Percentages

Lesson 13: Benchmark Percentages

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Example--Percents-- Equations with Percents: Example 31 Math Example--Percents--Equations with Percents: Example 31 Math Example--Percents--Equations with Percents: Example 31

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 32 Math Example--Percents--Equations with Percents: Example 32 Math Example--Percents--Equations with Percents: Example 32

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 33 Math Example--Percents--Equations with Percents: Example 33 Math Example--Percents--Equations with Percents: Example 33

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 34 Math Example--Percents--Equations with Percents: Example 34 Math Example--Percents--Equations with Percents: Example 34

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 35 Math Example--Percents--Equations with Percents: Example 35 Math Example--Percents--Equations with Percents: Example 35

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "15 is 0.25% of what number?" The solution involves setting up the equation 15 = 0.0025 * x, then solving for x to get x = 15 / 0.0025, which equals 6000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 36 Math Example--Percents--Equations with Percents: Example 36 Math Example--Percents--Equations with Percents: Example 36

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "30 is 5% of what number?" The solution involves setting up the equation 30 = 0.05 * x, then solving for x to get x = 30 / 0.05, which equals 600. This example demonstrates how to calculate the whole when given a small percentage of it, resulting in a much larger number.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 37 Math Example--Percents--Equations with Percents: Example 37 Math Example--Percents--Equations with Percents: Example 37

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "50 is 80% of what number?" The solution involves setting up the equation 50 = 0.8 * x, then solving for x to get x = 50 / 0.8, which equals 62.5. This example introduces a scenario where we need to find the whole when given a large percentage of it, resulting in a number that is only slightly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 38 Math Example--Percents--Equations with Percents: Example 38 Math Example--Percents--Equations with Percents: Example 38

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "78 is 150% of what number?" The solution involves setting up the equation 78 = 1.5 * x, then solving for x to get x = 78 / 1.5, which equals 52. This example demonstrates how to calculate the original value when given a percentage greater than 100%, resulting in a number that is smaller than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 39 Math Example--Percents--Equations with Percents: Example 39 Math Example--Percents--Equations with Percents: Example 39

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "150 is 0.2% of what number?" The solution involves setting up the equation 150 = 0.002 * x, then solving for x to get x = 150 / 0.002, which equals 75,000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 4 Math Example--Percents--Equations with Percents: Example 4 Math Example--Percents--Equations with Percents: Example 4

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 6.5% of 45.5?" The solution involves converting 6.5% to its decimal equivalent, 0.065, and then multiplying it by 45.5 to obtain the result of 2.9575. This example introduces both a decimal percentage and a decimal base number, adding complexity to the calculation.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 40 Math Example--Percents--Equations with Percents: Example 40 Math Example--Percents--Equations with Percents: Example 40

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "225 is 3% of what number?" The solution involves setting up the equation 225 = 0.03 * x, then solving for x to get x = 225 / 0.03, which equals 7,500. This example demonstrates how to calculate the whole when given a small percentage of it, resulting in a number that is significantly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 41 Math Example--Percents--Equations with Percents: Example 41 Math Example--Percents--Equations with Percents: Example 41

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "400 is 40% of what number?" The solution involves setting up the equation 400 = 0.4 * x, then solving for x to get x = 400 / 0.4, which equals 1000. This example demonstrates how to calculate the whole when given a significant percentage of it, resulting in a number that is larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 42 Math Example--Percents--Equations with Percents: Example 42 Math Example--Percents--Equations with Percents: Example 42

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "650 is 130% of what number?" The solution involves setting up the equation 650 = 1.3 * x, then solving for x to get x = 650 / 1.3, which equals 500. This example introduces a scenario where we need to find the original value when given a percentage greater than 100%, resulting in a number that is smaller than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 5 Math Example--Percents--Equations with Percents: Example 5 Math Example--Percents--Equations with Percents: Example 5

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 30% of 9?" The solution involves converting 30% to its decimal form, 0.3, and then multiplying it by 9 to get the result of 2.7. This example introduces a larger percentage, demonstrating how the method applies consistently across various percentage values.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 6 Math Example--Percents--Equations with Percents: Example 6 Math Example--Percents--Equations with Percents: Example 6

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 28% of 7.2?" The solution involves converting 28% to its decimal equivalent, 0.28, and then multiplying it by 7.2 to obtain the result of 2.016. This example combines a whole number percentage with a decimal base number, further illustrating the versatility of the percent-to-decimal conversion method.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 7 Math Example--Percents--Equations with Percents: Example 7 Math Example--Percents--Equations with Percents: Example 7

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 45% of 68?" The solution involves converting 45% to its decimal form, 0.45, and then multiplying it by 68 to arrive at the answer of 30.6. This example introduces a larger percentage and a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 8 Math Example--Percents--Equations with Percents: Example 8 Math Example--Percents--Equations with Percents: Example 8

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 52.3% of 36.9?" The solution involves converting 52.3% to its decimal equivalent, 0.523, and then multiplying it by 36.9 to obtain the result of 19.2987. This example introduces both a decimal percentage and a decimal base number, adding complexity to the calculation and showcasing the versatility of the percent-to-decimal conversion method.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 9 Math Example--Percents--Equations with Percents: Example 9 Math Example--Percents--Equations with Percents: Example 9

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 150% of 8?" The solution involves converting 150% to its decimal form, 1.5, and then multiplying it by 8 to get the result of 12. This example introduces a percentage greater than 100%, demonstrating how the method applies consistently even when dealing with percentages that represent values larger than the whole.

Solving Percent Equations
Math Example--Percents-- Percent Change--Example 1 Math Example--Percents--Percent Change--Example 1 Math Example--Percents--Percent Change--Example 1

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 10 Math Example--Percents--Percent Change--Example 10 Math Example--Percents--Percent Change--Example 10

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 2 Math Example--Percents--Percent Change--Example 2 Math Example--Percents--Percent Change--Example 2

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 3 Math Example--Percents--Percent Change--Example 3 Math Example--Percents--Percent Change--Example 3

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 4 Math Example--Percents--Percent Change--Example 4 Math Example--Percents--Percent Change--Example 4

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 5 Math Example--Percents--Percent Change--Example 5 Math Example--Percents--Percent Change--Example 5

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 6 Math Example--Percents--Percent Change--Example 6 Math Example--Percents--Percent Change--Example 6

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 7 Math Example--Percents--Percent Change--Example 7 Math Example--Percents--Percent Change--Example 7

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 8 Math Example--Percents--Percent Change--Example 8 Math Example--Percents--Percent Change--Example 8

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 9 Math Example--Percents--Percent Change--Example 9 Math Example--Percents--Percent Change--Example 9

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28 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
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29 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