Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 1: Planning Recipes

Use the following Media4Math resources with this Illustrative Math lesson.

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Math Example--Percents--Equations with Percents: Example 14	Math Example--Percents--Equations with Percents: Example 14 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 15	Math Example--Percents--Equations with Percents: Example 15 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 15	Math Example--Percents--Equations with Percents: Example 15 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 15	Math Example--Percents--Equations with Percents: Example 15 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 15	Math Example--Percents--Equations with Percents: Example 15 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 15	Math Example--Percents--Equations with Percents: Example 15 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 16	Math Example--Percents--Equations with Percents: Example 16 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 16	Math Example--Percents--Equations with Percents: Example 16 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 16	Math Example--Percents--Equations with Percents: Example 16 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 16	Math Example--Percents--Equations with Percents: Example 16 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 16	Math Example--Percents--Equations with Percents: Example 16 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 17	Math Example--Percents--Equations with Percents: Example 17 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 17	Math Example--Percents--Equations with Percents: Example 17 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 17	Math Example--Percents--Equations with Percents: Example 17 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 17	Math Example--Percents--Equations with Percents: Example 17 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 17	Math Example--Percents--Equations with Percents: Example 17 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 18	Math Example--Percents--Equations with Percents: Example 18 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 18	Math Example--Percents--Equations with Percents: Example 18 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 18	Math Example--Percents--Equations with Percents: Example 18 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 18	Math Example--Percents--Equations with Percents: Example 18 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 18	Math Example--Percents--Equations with Percents: Example 18 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 19	Math Example--Percents--Equations with Percents: Example 19 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 19	Math Example--Percents--Equations with Percents: Example 19 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 19	Math Example--Percents--Equations with Percents: Example 19 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 19	Math Example--Percents--Equations with Percents: Example 19 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 19	Math Example--Percents--Equations with Percents: Example 19 Topic Solving Equations Description This 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
Math Example--Percents--Equations with Percents: Example 2	Math Example--Percents--Equations with Percents: Example 2 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "What is 7% of 9.5?" The solution involves converting 7% to its decimal equivalent, 0.07, and then multiplying it by 9.5 to obtain the result of 0.665. This example builds upon the previous one by introducing a decimal number as the base value.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 2	Math Example--Percents--Equations with Percents: Example 2 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "What is 7% of 9.5?" The solution involves converting 7% to its decimal equivalent, 0.07, and then multiplying it by 9.5 to obtain the result of 0.665. This example builds upon the previous one by introducing a decimal number as the base value.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 2	Math Example--Percents--Equations with Percents: Example 2 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "What is 7% of 9.5?" The solution involves converting 7% to its decimal equivalent, 0.07, and then multiplying it by 9.5 to obtain the result of 0.665. This example builds upon the previous one by introducing a decimal number as the base value.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 2	Math Example--Percents--Equations with Percents: Example 2 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "What is 7% of 9.5?" The solution involves converting 7% to its decimal equivalent, 0.07, and then multiplying it by 9.5 to obtain the result of 0.665. This example builds upon the previous one by introducing a decimal number as the base value.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 2	Math Example--Percents--Equations with Percents: Example 2 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "What is 7% of 9.5?" The solution involves converting 7% to its decimal equivalent, 0.07, and then multiplying it by 9.5 to obtain the result of 0.665. This example builds upon the previous one by introducing a decimal number as the base value.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 20	Math Example--Percents--Equations with Percents: Example 20 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "32 is what percent of 1.5?" The solution involves setting up the equation 1.5 * (x / 100) = 32, then solving for x to get x = 32 * (100 / 1.5), which equals 2133.3%. This example introduces a scenario where the resulting percentage is significantly larger than 100% and involves a decimal base number less than 1.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 20	Math Example--Percents--Equations with Percents: Example 20 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "32 is what percent of 1.5?" The solution involves setting up the equation 1.5 * (x / 100) = 32, then solving for x to get x = 32 * (100 / 1.5), which equals 2133.3%. This example introduces a scenario where the resulting percentage is significantly larger than 100% and involves a decimal base number less than 1.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 20	Math Example--Percents--Equations with Percents: Example 20 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "32 is what percent of 1.5?" The solution involves setting up the equation 1.5 * (x / 100) = 32, then solving for x to get x = 32 * (100 / 1.5), which equals 2133.3%. This example introduces a scenario where the resulting percentage is significantly larger than 100% and involves a decimal base number less than 1.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 20	Math Example--Percents--Equations with Percents: Example 20 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "32 is what percent of 1.5?" The solution involves setting up the equation 1.5 * (x / 100) = 32, then solving for x to get x = 32 * (100 / 1.5), which equals 2133.3%. This example introduces a scenario where the resulting percentage is significantly larger than 100% and involves a decimal base number less than 1.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 20	Math Example--Percents--Equations with Percents: Example 20 Topic Solving Equations Description This math example demonstrates solving percent equations by asking "32 is what percent of 1.5?" The solution involves setting up the equation 1.5 * (x / 100) = 32, then solving for x to get x = 32 * (100 / 1.5), which equals 2133.3%. This example introduces a scenario where the resulting percentage is significantly larger than 100% and involves a decimal base number less than 1.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 21	Math Example--Percents--Equations with Percents: Example 21 Topic Solving Equations Description This math example focuses on solving percent equations by asking "48 is what percent of 55?" The solution involves setting up the equation 55 * (x / 100) = 48, then solving for x to get x = 48 * (100 / 55), which equals 87.27%. This example demonstrates how to calculate a percentage when the two numbers are relatively close in value, resulting in a percentage close to but less than 100%.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 21	Math Example--Percents--Equations with Percents: Example 21 Topic Solving Equations Description This math example focuses on solving percent equations by asking "48 is what percent of 55?" The solution involves setting up the equation 55 * (x / 100) = 48, then solving for x to get x = 48 * (100 / 55), which equals 87.27%. This example demonstrates how to calculate a percentage when the two numbers are relatively close in value, resulting in a percentage close to but less than 100%.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 21	Math Example--Percents--Equations with Percents: Example 21 Topic Solving Equations Description This math example focuses on solving percent equations by asking "48 is what percent of 55?" The solution involves setting up the equation 55 * (x / 100) = 48, then solving for x to get x = 48 * (100 / 55), which equals 87.27%. This example demonstrates how to calculate a percentage when the two numbers are relatively close in value, resulting in a percentage close to but less than 100%.	Solving Percent Equations
Math Example--Percents--Equations with Percents: Example 21	Math Example--Percents--Equations with Percents: Example 21 Topic Solving Equations Description This math example focuses on solving percent equations by asking "48 is what percent of 55?" The solution involves setting up the equation 55 * (x / 100) = 48, then solving for x to get x = 48 * (100 / 55), which equals 87.27%. This example demonstrates how to calculate a percentage when the two numbers are relatively close in value, resulting in a percentage close to but less than 100%.	Solving Percent Equations

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 1: Planning Recipes

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