Illustrative Math Alignment: Grade 7 Unit 9
Putting it All Together
Lesson 10: Measuring Long Distances Over Uneven Terrain
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Clip Art--Ratios, Proportions, Percents--Proportions 04 | Math Clip Art--Ratios, Proportions, Percents--Proportions 04
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Proportions 05 | Math Clip Art--Ratios, Proportions, Percents--Proportions 05
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Proportions 06 | Math Clip Art--Ratios, Proportions, Percents--Proportions 06
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Proportions 07 | Math Clip Art--Ratios, Proportions, Percents--Proportions 07
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Proportions 08 | Math Clip Art--Ratios, Proportions, Percents--Proportions 08
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Proportions 09 | Math Clip Art--Ratios, Proportions, Percents--Proportions 09
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Proportions 10 | Math Clip Art--Ratios, Proportions, Percents--Proportions 10
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions |
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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--Compound Interest: Example 1 | Math Example--Math of Money--Compound Interest: Example 1TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 10 | Math Example--Math of Money--Compound Interest: Example 10TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 11 | Math Example--Math of Money--Compound Interest: Example 11TopicMath of Money DescriptionThis example calculates compound interest for a $1000 investment at a 5% interest rate over 5 years, compounded daily. The formula $$A = P(1 + r/n)nt is used with P = 1000, r = 0.05, n = 365, and t = 5, resulting in an amount of $1284.00. Understanding compound interest is crucial for financial literacy. This example demonstrates daily compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes. |
Compound Interest |
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Math Example--Math of Money--Compound Interest: Example 12 | Math Example--Math of Money--Compound Interest: Example 12TopicMath of Money DescriptionThis example calculates compound interest for a $1000 investment at a 5% interest rate over 5 years, compounded continuously. Using the formula A = Pert, where P = 1000, r = 0.05, and t = 5, the final amount is $1284.03. Compound interest is a fundamental concept in finance, illustrating how investments grow exponentially over time. This example highlights continuous compounding, which shows the impact of applying interest at every possible moment. Understanding these differences helps students apply compound interest in real-world financial scenarios. |
Compound Interest |
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Math Example--Math of Money--Compound Interest: Example 13 | Math Example--Math of Money--Compound Interest: Example 13TopicMath of Money DescriptionThis example calculates compound interest for a $1000 investment with an interest rate of 2.5% over 10 years, compounded annually. Using the formula A = P(1 + r/n)nt, where P = 1000, r = 0.025, n = 1, and $$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 |
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Math Example--Math of Money--Compound Interest: Example 14 | Math Example--Math of Money--Compound Interest: Example 14TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 15 | Math Example--Math of Money--Compound Interest: Example 15TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 16 | Math Example--Math of Money--Compound Interest: Example 16TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 17 | Math Example--Math of Money--Compound Interest: Example 17TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 18 | Math Example--Math of Money--Compound Interest: Example 18TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 19 | Math Example--Math of Money--Compound Interest: Example 19TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 2 | Math Example--Math of Money--Compound Interest: Example 2TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 20 | Math Example--Math of Money--Compound Interest: Example 20TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 21 | Math Example--Math of Money--Compound Interest: Example 21TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 22 | Math Example--Math of Money--Compound Interest: Example 22TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 23 | Math Example--Math of Money--Compound Interest: Example 23TopicMath of Money DescriptionThis 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 |
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Math Example--Math of Money--Compound Interest: Example 24 | Math Example--Math of Money--Compound Interest: Example 24TopicMath of Money DescriptionThis 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 |
