IXL Ad

Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 8: Measurement Error (Part 1)

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Math of Money--Calculating Tips and Commissions--Example 3 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
Math Example--Math of Money--Calculating Tips and Commissions--Example 4 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
Math Example--Math of Money--Calculating Tips and Commissions--Example 5 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
Math Example--Math of Money--Calculating Tips and Commissions--Example 6 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
Math Example--Math of Money--Calculating Tips and Commissions--Example 7 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
Math Example--Math of Money--Calculating Tips and Commissions--Example 8 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
Math Example--Math of Money--Calculating Tips and Commissions--Example 9 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
Math Example--Math of Money--Compound Interest: Example 1 Math Example--Math of Money--Compound Interest: Example 1 Math Example--Math of Money--Compound Interest: Example 1

Topic

Math of Money

Description

This example demonstrates compound interest calculation for a $1000 investment at a 2.5% interest rate over 5 years, compounded annually. Using the formula A = P(1 + r/n)nt, where P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years, the final amount is calculated to be $1131.41.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 10 Math Example--Math of Money--Compound Interest: Example 10 Math Example--Math of Money--Compound Interest: Example 10

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment at a 5% interest rate over 5 years, compounded monthly. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.05, n = 12, and t = 5, the final amount is $1283.61.

Compound interest is a key concept in financial mathematics that shows how investments grow over time. This example highlights monthly compounding, demonstrating the impact of more frequent compounding on returns. Understanding these differences helps students apply compound interest in real-world financial scenarios.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 11 Math Example--Math of Money--Compound Interest: Example 11 Math Example--Math of Money--Compound Interest: Example 11

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment at a 5% interest rate over 5 years, compounded daily. The formula $$A = P(1 + r/n)nt is used with P = 1000, r = 0.05, n = 365, and t = 5, resulting in an amount of $1284.00.

Understanding compound interest is crucial for financial literacy. This example demonstrates daily compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 12 Math Example--Math of Money--Compound Interest: Example 12 Math Example--Math of Money--Compound Interest: Example 12

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment at a 5% interest rate over 5 years, compounded continuously. Using the formula A = Pert, where P = 1000, r = 0.05, and t = 5, the final amount is $1284.03.

Compound interest is a fundamental concept in finance, illustrating how investments grow exponentially over time. This example highlights continuous compounding, which shows the impact of applying interest at every possible moment. Understanding these differences helps students apply compound interest in real-world financial scenarios.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 13 Math Example--Math of Money--Compound Interest: Example 13 Math Example--Math of Money--Compound Interest: Example 13

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with an interest rate of 2.5% over 10 years, compounded annually. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.025, n = 1, and $$t = 10, the final amount is $1280.08.

Understanding compound interest is crucial for financial literacy. This example demonstrates annual compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 14 Math Example--Math of Money--Compound Interest: Example 14 Math Example--Math of Money--Compound Interest: Example 14

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 2.5% interest rate, compounded semi-annually over 10 years. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.025, n = 2, and t = 10, the final amount is $1282.04.

Understanding compound interest is essential for financial literacy. This example demonstrates semi-annual compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 15 Math Example--Math of Money--Compound Interest: Example 15 Math Example--Math of Money--Compound Interest: Example 15

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 2.5% interest rate, compounded quarterly over 10 years. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.025, n = 4, and t = 10, the final amount is $1283.03.

Understanding compound interest is crucial for financial literacy. This example demonstrates quarterly compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 16 Math Example--Math of Money--Compound Interest: Example 16 Math Example--Math of Money--Compound Interest: Example 16

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 2.5% interest rate, compounded monthly over 10 years. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.025, n = 12, and t = 10, the final amount is $1283.18.

Understanding compound interest is crucial for financial literacy. This example demonstrates monthly compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 17 Math Example--Math of Money--Compound Interest: Example 17 Math Example--Math of Money--Compound Interest: Example 17

Topic

Math of Money

Description

This example demonstrates compound interest calculation for a $1000 investment at a 2.5% interest rate over 10 years, compounded daily. Using the formula A = P(1 + r/n)nt, with P = 1000, r = 0.025, n = 365, and t = 10, the result is $1284.01.

Understanding compound interest is essential for financial literacy. This example demonstrates daily compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 18 Math Example--Math of Money--Compound Interest: Example 18 Math Example--Math of Money--Compound Interest: Example 18

Topic

Math of Money

Description

This example illustrates compound interest for a $1000 investment at a 2.5% interest rate over 10 years with continuous compounding. The formula for continuous compounding is A = Pert. With P = 1000, r = 0.025, and t = 10, the amount is calculated as $1284.03.

Understanding compound interest is crucial for financial literacy. This example demonstrates continuous compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 19 Math Example--Math of Money--Compound Interest: Example 19 Math Example--Math of Money--Compound Interest: Example 19

Topic

Math of Money

Description

This example shows how to calculate compound interest for a $1000 investment with a 5% annual interest rate over 10 years, compounded annually. The formula used is A = P(1 + r/n)nt. Given P = 1000, r = 0.05, n = 1, and t = 10, the calculation yields $1628.89.

Understanding compound interest is essential for financial literacy. This example demonstrates annual compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 2 Math Example--Math of Money--Compound Interest: Example 2 Math Example--Math of Money--Compound Interest: Example 2

Topic

Math of Money

Description

This example illustrates the calculation of compound interest for a $1000 investment at a 2.5% interest rate over 5 years, compounded semi-annually. The formula A = P(1 + r/n)nt is applied with P = 1000, r = 0.025, n = 2, and t = 5. The final amount after 5 years is $1132.27.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 20 Math Example--Math of Money--Compound Interest: Example 20 Math Example--Math of Money--Compound Interest: Example 20

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 5% interest rate, compounded twice a year over 10 years. The formula used is A = P(1 + r/n)nt. Given P = 1000, r = 0.05, n = 2, and t = 10, the calculation results in $1638.62.

Understanding compound interest is crucial for financial literacy. This example demonstrates semi-annual compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 21 Math Example--Math of Money--Compound Interest: Example 21 Math Example--Math of Money--Compound Interest: Example 21

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 5% interest rate over 10 years, compounded quarterly. Using the formula A = P(1 + r/n)nt, with P = 1000, r = 0.05, n = 4, and t = 10, the result is $1643.62.

Understanding compound interest is essential for financial literacy. This example demonstrates quarterly compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Applications of Exponential and Logarithmic Functions
Math Example--Math of Money--Compound Interest: Example 22 Math Example--Math of Money--Compound Interest: Example 22 Math Example--Math of Money--Compound Interest: Example 22

Topic

Math of Money

Description

This example presents the calculation of compound interest for a $1000 investment with a 5% interest rate over 10 years, compounded monthly. Using the formula A = P(1 + r/n)nt, with P = 1000, r = 0.05, n = 12, and t = 10, the final amount is $1647.67.

Understanding compound interest is crucial for financial literacy. This example demonstrates monthly compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 23 Math Example--Math of Money--Compound Interest: Example 23 Math Example--Math of Money--Compound Interest: Example 23

Topic

Math of Money

Description

This example illustrates calculating compound interest for a $1000 investment with a 5% interest rate over 10 years, compounded daily. Using the formula A = P(1 + r/n)nt, with P = 1000, r = 0.05, n = 365.25, and t = 10, the result is $1648.65.

Understanding compound interest is essential for financial literacy. This example demonstrates daily compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 24 Math Example--Math of Money--Compound Interest: Example 24 Math Example--Math of Money--Compound Interest: Example 24

Topic

Math of Money

Description

This example shows calculating compound interest for a $1000 investment with a 5% interest rate, compounded continuously over 10 years. The formula used is A = Pert. Given P = 1000, r = 0.05, and t = 10, the calculation results in $1648.72.

Understanding compound interest is crucial for financial literacy. This example demonstrates continuous compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 3 Math Example--Math of Money--Compound Interest: Example 3 Math Example--Math of Money--Compound Interest: Example 3

Topic

Math of Money

Description

This example demonstrates the calculation of compound interest for a $1000 investment at a 2.5% interest rate over 5 years, compounded quarterly. The formula A = P(1 + r/n)nt is used, where P = 1000, r = 0.025, n = 4, and t = 5. The resulting amount after 5 years is $1132.71.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 4 Math Example--Math of Money--Compound Interest: Example 4 Math Example--Math of Money--Compound Interest: Example 4

Topic

Math of Money

Description

This example illustrates the calculation of compound interest for a $1000 investment at a 2.5% interest rate over 5 years, compounded monthly. The formula A = P(1 + r/n)nt is applied with P = 1000, r = 0.025, n = 12, and t = 5. The final amount after 5 years is $1132.78.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 5 Math Example--Math of Money--Compound Interest: Example 5 Math Example--Math of Money--Compound Interest: Example 5

Topic

Math of Money

Description

This example demonstrates the calculation of compound interest for a $1000 investment at a 2.5% interest rate over 5 years, compounded daily. The formula A = P(1 + r/n)nt is used, where P = 1000, r = 0.025, n = 365.25, and t = 5. The resulting amount after 5 years is $1133.14.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 6 Math Example--Math of Money--Compound Interest: Example 6 Math Example--Math of Money--Compound Interest: Example 6

Topic

Math of Money

Description

This example demonstrates the calculation of compound interest for a $1000 investment at a 2.5% interest rate, compounded continuously over 5 years. Using the formula A = P•ert, where P = 1000, r = 0.025, and t = 5, the final amount is calculated as $1133.15.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 7 Math Example--Math of Money--Compound Interest: Example 7 Math Example--Math of Money--Compound Interest: Example 7

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 5% annual interest rate over 5 years, compounded annually. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.05, n = 1, and t = 5, the final amount is $1276.28.

Compound interest is essential in understanding how investments grow over time. This example emphasizes annual compounding and its effects on investment returns. By examining different compounding frequencies, students can appreciate how often interest is applied impacts overall growth.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 8 Math Example--Math of Money--Compound Interest: Example 8 Math Example--Math of Money--Compound Interest: Example 8

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 5% interest rate, compounded semi-annually over 5 years. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.05, n = 2, and t = 5, the final amount is $1280.08.

Compound interest is fundamental in financial mathematics, illustrating how investments grow over time. This example highlights semi-annual compounding, showing how different frequencies impact returns. Understanding these variations helps students grasp the practical applications of compound interest in real-life scenarios.

Compound Interest
Math Example--Math of Money--Compound Interest: Example 9 Math Example--Math of Money--Compound Interest: Example 9 Math Example--Math of Money--Compound Interest: Example 9

Topic

Math of Money

Description

This example illustrates calculating compound interest for a $1000 investment at a 5% interest rate, compounded quarterly over 5 years. The formula A = P(1 + r/n)nt is used with P = 1000, r = 0.05, n = 4, and t = 5, resulting in an amount of $1282.04.

Understanding compound interest is key to financial literacy, showing how investments can grow exponentially. This example demonstrates quarterly compounding and its influence on returns. By examining different compounding intervals, students gain insight into the effects on financial growth.

Compound Interest
Math Example--Math of Money--Simple Interest--Example 1 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
Math Example--Math of Money--Simple Interest--Example 10 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
Math Example--Math of Money--Simple Interest--Example 2 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
Math Example--Math of Money--Simple Interest--Example 3 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
Math Example--Math of Money--Simple Interest--Example 4 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
Math Example--Math of Money--Simple Interest--Example 5 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
Math Example--Math of Money--Simple Interest--Example 6 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
Math Example--Math of Money--Simple Interest--Example 7 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
Math Example--Math of Money--Simple Interest--Example 8 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
Math Example--Math of Money--Simple Interest--Example 9 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
Math Example--Percents-- Equations with Percents: Example 1 Math Example--Percents--Equations with Percents: Example 1 Math Example--Percents--Equations with Percents: Example 1

Topic

Solving Equations

Description

This 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
Math Example--Percents-- Equations with Percents: Example 10 Math Example--Percents--Equations with Percents: Example 10 Math Example--Percents--Equations with Percents: Example 10

Topic

Solving Equations

Description

This 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
Math Example--Percents-- Equations with Percents: Example 11 Math Example--Percents--Equations with Percents: Example 11 Math Example--Percents--Equations with Percents: Example 11

Topic

Solving Equations

Description

This 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
Math Example--Percents-- Equations with Percents: Example 12 Math Example--Percents--Equations with Percents: Example 12 Math Example--Percents--Equations with Percents: Example 12

Topic

Solving Equations

Description

This 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
Math Example--Percents-- Equations with Percents: Example 13 Math Example--Percents--Equations with Percents: Example 13 Math Example--Percents--Equations with Percents: Example 13

Topic

Solving Equations

Description

This 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
Math Example--Percents-- Equations with Percents: Example 14 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 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 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 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