Illustrative Math Alignment: Grade 6 Unit 3
Unit Rates and Percentages
Lesson 16: Finding the Percentage
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 15 | Fractions, Decimals, and Percents: Example 15TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 2 | Fractions, Decimals, and Percents: Example 2TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 3 | Fractions, Decimals, and Percents: Example 3TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 4 | Fractions, Decimals, and Percents: Example 4TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 5 | Fractions, Decimals, and Percents: Example 5TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 6 | Fractions, Decimals, and Percents: Example 6TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 7 | Fractions, Decimals, and Percents: Example 7TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 8 | Fractions, Decimals, and Percents: Example 8TopicFractions |
Relate Fractions to Decimals |
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Math Example--Fraction Properties--Fractions, Decimals, and Percents: Example 9 | Fractions, Decimals, and Percents: Example 9TopicFractions |
Relate Fractions to Decimals |
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Math Example--Math of Money--Calculating Tax--Example 1 | Math Example--Math of Money--Calculating Tax--Example 1
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 10 | Math Example--Math of Money--Calculating Tax--Example 10
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 2 | Math Example--Math of Money--Calculating Tax--Example 2
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 3 | Math Example--Math of Money--Calculating Tax--Example 3
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 4 | Math Example--Math of Money--Calculating Tax--Example 4
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 5 | Math Example--Math of Money--Calculating Tax--Example 5
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 6 | Math Example--Math of Money--Calculating Tax--Example 6
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 7 | Math Example--Math of Money--Calculating Tax--Example 7
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 8 | Math Example--Math of Money--Calculating Tax--Example 8
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tax--Example 9 | Math Example--Math of Money--Calculating Tax--Example 9
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 1 | Math Example--Math of Money--Calculating Tips and Commissions--Example 1
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 10 | Math Example--Math of Money--Calculating Tips and Commissions--Example 10
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 2 | Math Example--Math of Money--Calculating Tips and Commissions--Example 2
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 3 | Math Example--Math of Money--Calculating Tips and Commissions--Example 3
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 4 | Math Example--Math of Money--Calculating Tips and Commissions--Example 4
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 5 | Math Example--Math of Money--Calculating Tips and Commissions--Example 5
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 6 | Math Example--Math of Money--Calculating Tips and Commissions--Example 6
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 7 | Math Example--Math of Money--Calculating Tips and Commissions--Example 7
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 8 | Math Example--Math of Money--Calculating Tips and Commissions--Example 8
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Calculating Tips and Commissions--Example 9 | Math Example--Math of Money--Calculating Tips and Commissions--Example 9
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 1 | Math Example--Math of Money--Simple Interest--Example 1
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 10 | Math Example--Math of Money--Simple Interest--Example 10
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 2 | Math Example--Math of Money--Simple Interest--Example 2
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 3 | Math Example--Math of Money--Simple Interest--Example 3
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 4 | Math Example--Math of Money--Simple Interest--Example 4
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 5 | Math Example--Math of Money--Simple Interest--Example 5
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 6 | Math Example--Math of Money--Simple Interest--Example 6
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 7 | Math Example--Math of Money--Simple Interest--Example 7
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 8 | Math Example--Math of Money--Simple Interest--Example 8
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Math of Money--Simple Interest--Example 9 | Math Example--Math of Money--Simple Interest--Example 9
This is part of a collection of math examples that focus on money. |
Percents |
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Math Example--Percents--Equations with Percents: Example 1 | Math Example--Percents--Equations with Percents: Example 1TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 5% of 8?" The solution involves converting 5% to its decimal form, 0.05, and then multiplying it by 8 to get the result of 0.4. This straightforward approach demonstrates how to tackle basic percent calculations efficiently. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 10 | Math Example--Percents--Equations with Percents: Example 10TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "What is 170% of 9.5?" The solution involves converting 170% to its decimal equivalent, 1.7, and then multiplying it by 9.5 to obtain the result of 16.15. This example combines a percentage greater than 100% with a decimal base number, further illustrating the versatility of the percent-to-decimal conversion method in complex scenarios. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 11 | Math Example--Percents--Equations with Percents: Example 11TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 225.5% of 78?" The solution involves converting 225.5% to its decimal form, 2.255, and then multiplying it by 78 to arrive at the answer of 175.89. This example introduces a decimal percentage greater than 200% and a larger whole number as the base value, demonstrating the scalability and flexibility of the percent-to-decimal conversion method in complex scenarios. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 12 | Math Example--Percents--Equations with Percents: Example 12TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "What is 400% of 92.8?" The solution involves converting 400% to its decimal equivalent, 4.0, and then multiplying it by 92.8 to obtain the result of 371.2. This example showcases how to handle percentages greater than 100% and their application to decimal numbers, illustrating the versatility of the percent-to-decimal conversion method in complex scenarios. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 13 | Math Example--Percents--Equations with Percents: Example 13TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "5 is what percent of 9?" The solution involves setting up the equation 9 * (x / 100) = 5, then solving for x to get x = 5 * (100 / 9), which is approximately 55.56%. This example introduces a new type of percent problem where students must find the percentage given two known values. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 14 | Math Example--Percents--Equations with Percents: Example 14TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "6 is what percent of 2.3?" The solution involves setting up the equation 2.3 * (x / 100) = 6, then solving for x to get x = 6 * (100 / 2.3), which is approximately 260.87%. This example introduces a scenario where the resulting percentage is greater than 100% and involves a decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 15 | Math Example--Percents--Equations with Percents: Example 15TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is what percent of 38?" The solution involves setting up the equation 38 * (x / 100) = 9, then solving for x to get x = 9 * (100 / 38), which is approximately 23.68%. This example demonstrates how to calculate a percentage when the first number is smaller than the second, resulting in a percentage less than 100%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 16 | Math Example--Percents--Equations with Percents: Example 16TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "2 is what percent of 55.5?" The solution involves setting up the equation 55.5 * (x / 100) = 2, then solving for x to get x = 2 * (100 / 55.5), which is approximately 3.6036%. This example introduces a scenario where the resulting percentage is a small fraction, less than 5%, and involves a decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 17 | Math Example--Percents--Equations with Percents: Example 17TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "8 is what percent of 120?" The solution involves setting up the equation 120 * (x / 100) = 8, then solving for x to get x = 8 * (100 / 120), which is approximately 6.67%. This example demonstrates how to calculate a percentage when dealing with larger whole numbers, resulting in a percentage less than 10%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 18 | Math Example--Percents--Equations with Percents: Example 18TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "3.5 is what percent of 350?" The solution involves setting up the equation 350 * (x / 100) = 3.5, then solving for x to get x = 3.5 * (100 / 350), which equals 1%. This example introduces a scenario where the resulting percentage is a whole number (1%) and involves a decimal number as the first value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 19 | Math Example--Percents--Equations with Percents: Example 19TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "12 is what percent of 8?" The solution involves setting up the equation 8 * (x / 100) = 12, then solving for x to get x = 12 * (100 / 8), which equals 150%. This example demonstrates how to calculate a percentage when the first number is larger than the second, resulting in a percentage greater than 100%. |
Solving Percent Equations |
