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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 4

Proportional Relationships and Percentages

Lesson 9: More and Less than 1%

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
PercentsAndDoubleNumberLines--Example--01.png Math Example: Percents with Double Number Lines: Example 1 Math Example: Percents with Double Number Lines: Example 1

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to find 50% of 250 using a double number line. The solution shows two parallel number lines: one ranging from 0 to 100% and the other from 0 to 250. By aligning 50% on the percentage line with its corresponding value on the numerical line, we can see that 50% of 250 is 125. This method visually represents the concept that 50% is equivalent to one-half of a quantity.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--10.png Math Example: Percents with Double Number Lines: Example 10 Math Example: Percents with Double Number Lines: Example 10

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to determine an unknown value using a double number line when given a part and its corresponding percentage, involving a decimal percentage. The image shows two number lines: one ranging from 0 to 100% and another from 0 to an unknown number x. The position 70 is marked on the second line, visually illustrating the process of finding x when 70 is 12.5% of x.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--11.png Math Example: Percents with Double Number Lines: Example 11 Math Example: Percents with Double Number Lines: Example 11

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to determine what percent one number is of another using a double number line. The image shows two parallel number lines: one ranging from 0 to 100% and another from 0 to 75, with 25 marked as an intermediate point. This visual representation helps students understand the relationship between the part (25) and the whole (75) in percentage terms.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--12.png Math Example: Percents with Double Number Lines: Example 12 Math Example: Percents with Double Number Lines: Example 12

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to calculate what percent one number is of another using a double number line. The image depicts two parallel number lines: one spanning from 0 to 100% and another from 0 to 220, with 55 marked as an intermediate point. This visual representation helps students understand the relationship between the part (55) and the whole (220) in percentage terms.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--13.png Math Example: Percents with Double Number Lines: Example 13 Math Example: Percents with Double Number Lines: Example 13

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to determine what percent one number is of another using a double number line. The image shows two parallel number lines: one ranging from 0 to 100% and another from 0 to 495, with 99 marked as an intermediate point. This visual representation helps students understand the relationship between the part (99) and the whole (495) in percentage terms.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--14.png Math Example: Percents with Double Number Lines: Example 14 Math Example: Percents with Double Number Lines: Example 14

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to calculate what percent one number is of another using a double number line. The image depicts two parallel number lines: one spanning from 0 to 100% and another from 0 to 396, with 198 marked at the midpoint. This visual representation helps students understand the relationship between the part (198) and the whole (396) in percentage terms.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--15.png Math Example: Percents with Double Number Lines: Example 15 Math Example: Percents with Double Number Lines: Example 15

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to determine what percent one number is of another using a double number line, particularly when dealing with more complex ratios. The image shows two parallel number lines: one ranging from 0 to 100% and another from 0 to 856, with 107 marked at an eighth of the way. This visual representation helps students understand the relationship between the part (107) and the whole (856) in percentage terms.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--02.png Math Example: Percents with Double Number Lines: Example 2 Math Example: Percents with Double Number Lines: Example 2

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to calculate 25% of 180 using a double number line. The solution presents two parallel number lines: one spanning from 0 to 100% and the other from 0 to 180. By aligning 25% on the percentage line with its corresponding value on the numerical line, we can determine that 25% of 180 is 45. This method visually demonstrates that 25% is equivalent to one-quarter of a quantity.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--03.png Math Example: Percents with Double Number Lines: Example 3 Math Example: Percents with Double Number Lines: Example 3

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to find 33 1/3% of 240 using a double number line. The solution displays two parallel number lines: one ranging from 0 to 100% and the other from 0 to 240. By aligning 33 1/3% on the percentage line with its corresponding value on the numerical line, we can see that 33 1/3% of 240 is 80. This method visually represents the concept that 33 1/3% is equivalent to one-third of a quantity.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--04.png Math Example: Percents with Double Number Lines: Example 4 Math Example: Percents with Double Number Lines: Example 4

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to calculate 40% of 105 using a double number line. The solution presents two parallel number lines: one spanning from 0 to 100% and the other from 0 to 105. By aligning 40% on the percentage line with its corresponding value on the numerical line, we can determine that 40% of 105 is 42. This method visually demonstrates that 40% is equivalent to two-fifths of a quantity.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--05.png Math Example: Percents with Double Number Lines: Example 5 Math Example: Percents with Double Number Lines: Example 5

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to find 12.5% of 88 using a double number line. The solution shows two parallel number lines: one ranging from 0 to 100% and the other from 0 to 88. By aligning 12.5% on the percentage line with its corresponding value on the numerical line, we can see that 12.5% of 88 is 11. This method visually represents the concept that 12.5% is equivalent to one-eighth of a quantity.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--06.png Math Example: Percents with Double Number Lines: Example 6 Math Example: Percents with Double Number Lines: Example 6

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to solve for an unknown value using a double number line when given a percentage. The image features two parallel number lines: one ranging from 0 to 100% and another from 0 to an unknown value x. It visually illustrates the process of determining x when 75 is 50% of x.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--07.png Math Example: Percents with Double Number Lines: Example 7 Math Example: Percents with Double Number Lines: Example 7

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to determine an unknown value using a double number line when given a part and its corresponding percentage. The image depicts two parallel number lines: one spanning from 0 to 100% and another from 0 to an unknown value x. It visually demonstrates the process of finding x when 120 is 25% of x.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--08.png Math Example: Percents with Double Number Lines: Example 8 Math Example: Percents with Double Number Lines: Example 8

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to find an unknown value using a double number line when given a part and its corresponding percentage, involving a fractional percentage. The image shows two parallel number lines: one ranging from 0 to 100% and another from 0 to an unknown value x. It visually illustrates the process of determining x when 125 is 33 1/3% of x.

Ratios and Rates
PercentsAndDoubleNumberLines--Example--09.png Math Example: Percents with Double Number Lines: Example 9 Math Example: Percents with Double Number Lines: Example 9

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to solve for an unknown value using a double number line when given a part and its corresponding percentage. The image shows two horizontal number lines: the top line ranges from 0 to 100%, and the bottom line ranges from 0 to an unknown number x. The 40% mark on the top line aligns with 220 on the bottom line, visually demonstrating the process of finding x when 220 is 40% of x.

Ratios and Rates
MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents

What Are Percents?

Percents Are a Type of Fraction
Solving Percent Equations
Math in the News: Issue 112--Back-to-School Purchases Math in the News: Issue 112--Back-to-School Purchases Math in the News: Issue 112--Back-to-School Purchases

September 2016. In this issue of Math in the News, we look at back-to-school purchases and the impact that different tax rates have on the total cost.

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Data Analysis
Paper-and-Pencil Quiz: Equations with Percents (Easy) Paper-and-Pencil Quiz: Equations with Percents (Easy) Paper-and-Pencil Quiz: Equations with Percents (Easy)

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Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Hard) Paper-and-Pencil Quiz: Equations with Percents (Hard) Paper-and-Pencil Quiz: Equations with Percents (Hard)

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Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Medium) Paper-and-Pencil Quiz: Equations with Percents (Medium) Paper-and-Pencil Quiz: Equations with Percents (Medium)

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Solving Percent Equations
Video Definition 26--Fraction Concepts--Percent Video Definition 26--Fraction Concepts--Percent Video Definition 26--Fraction Concepts--Percent

This is part of a collection of math video definitions related to to the topic of fractions. Note: The download is an MP4 video.

Fractions and Mixed Numbers
Video Definition 27--Fraction Concepts--Percent Error Video Definition 27--Fraction Concepts--Percent Error Video Definition 27--Fraction Concepts--Percent Error

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Fractions and Mixed Numbers
Video Definition 28--Fraction Concepts--Percentage Video Definition 28--Fraction Concepts--Percentage Video Definition 28--Fraction Concepts--Percentage

This is part of a collection of math video definitions related to to the topic of fractions. Note: The download is an MP4 video.

Fractions and Mixed Numbers
Video Definition 29--Fraction Concepts--Percentage Decrease Video Definition 29--Fraction Concepts--Percentage Decrease Video Definition 29--Fraction Concepts--Percentage Decrease

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Fractions and Mixed Numbers
Video Definition 30--Fraction Concepts--Percentage Increase Video Definition 30--Fraction Concepts--Percentage Increase Video Definition 30--Fraction Concepts--Percentage Increase

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Fractions and Mixed Numbers
Video Transcript: Percents: Applications of Percent -- Grade Video Transcript: Percents: Applications of Percent -- Grade Video Transcript: Percents: Applications of Percent -- Grade

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Percents
Video Transcript: Percents: Calculating Commissions and Tips Video Transcript: Percents: Calculating Commissions and Tips Video Transcript: Percents: Calculating Commissions and Tips

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Percents
Video Transcript: Percents: Calculating Tax Video Transcript: Percents: Calculating Tax Video Transcript: Percents: Calculating Tax

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Percents
Video Transcript: Percents: Calculating the Whole Given a Percent Video Transcript: Percents: Calculating the Whole Given a Percent Video Transcript: Percents: Calculating the Whole Given a Percent

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Percents
Video Transcript: Percents: Estimating Percents Video Transcript: Percents: Estimating Percents Video Transcript: Percents: Estimating Percents

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Percents
Video Transcript: Percents: Fraction-Percent Conversion Video Transcript: Percents: Fraction-Percent Conversion Video Transcript: Percents: Fraction-Percent Conversion

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Percents
Video Transcript: Percents: Multiple Percents Video Transcript: Percents: Multiple Percents Video Transcript: Percents: Multiple Percents

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Percents