Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 6: Fermi Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 6: Fermi Problems

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