Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Math Example: Percents with Double Number Lines: Example 1 |
Math Example: Percents with Double Number Lines: Example 1TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 10 |
Math Example: Percents with Double Number Lines: Example 10TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 11 |
Math Example: Percents with Double Number Lines: Example 11TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 12 |
Math Example: Percents with Double Number Lines: Example 12TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 13 |
Math Example: Percents with Double Number Lines: Example 13TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 14 |
Math Example: Percents with Double Number Lines: Example 14TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 15 |
Math Example: Percents with Double Number Lines: Example 15TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 2 |
Math Example: Percents with Double Number Lines: Example 2TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 3 |
Math Example: Percents with Double Number Lines: Example 3TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 4 |
Math Example: Percents with Double Number Lines: Example 4TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 5 |
Math Example: Percents with Double Number Lines: Example 5TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 6 |
Math Example: Percents with Double Number Lines: Example 6TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 7 |
Math Example: Percents with Double Number Lines: Example 7TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 8 |
Math Example: Percents with Double Number Lines: Example 8TopicRatios, Proportions, Percents DescriptionThis 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 | |
Math Example: Percents with Double Number Lines: Example 9 |
Math Example: Percents with Double Number Lines: Example 9TopicRatios, Proportions, Percents DescriptionThis 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 Example: Ratios with Double Number Lines: Example 1 |
Math Example: Ratios with Double Number Lines: Example 1TopicRatios DescriptionThis example demonstrates the use of double number lines to solve a ratio problem involving orange and lemon juice. The juice mixture uses a ratio of 2 parts orange juice to 1 part lemon juice. Given 6 cups of orange juice, students are asked to determine the amount of lemon juice needed. The solution involves aligning the double number lines at the amount of orange juice and reading the corresponding amount of lemon juice, which is 3 cups. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 10 |
Math Example: Ratios with Double Number Lines: Example 10TopicRatios DescriptionThis example introduces a four-part ratio of 5:2:1:1 for orange, lemon, lime, and strawberry juice. Given 10 cups of orange juice, students need to determine the amounts of lemon, lime, and strawberry juice required. The solution shows that 4 cups of lemon juice and 2 cups each of lime and strawberry juice are needed to maintain the ratio. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 2 |
Math Example: Ratios with Double Number Lines: Example 2TopicRatios DescriptionThis example builds upon the previous one, using the same ratio of 2 parts orange juice to 1 part lemon juice. However, in this case, students are given 4 cups of lemon juice and asked to determine the amount of orange juice needed. The solution involves aligning the double number lines at the amount of lemon juice and reading the corresponding amount of orange juice, which is 8 cups. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 3 |
Math Example: Ratios with Double Number Lines: Example 3TopicRatios DescriptionThis example introduces a new ratio of 3 parts orange juice to 1 part lime juice. Students are given 9 cups of orange juice and asked to determine the amount of lime juice needed. The solution involves using a double number line to align at the amount of orange juice and find the corresponding amount of lime juice, which is 3 cups. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 4 |
Math Example: Ratios with Double Number Lines: Example 4TopicRatios DescriptionThis example introduces a more complex ratio of 3 parts orange juice to 2 parts lime juice. Students are given 4 cups of lime juice and asked to determine the amount of orange juice needed. The solution involves using a double number line to align at the amount of lime juice and find the corresponding amount of orange juice, which is 6 cups. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 5 |
Math Example: Ratios with Double Number Lines: Example 5TopicRatios DescriptionThis example introduces a three-part ratio of 2:1:1 for orange, lemon, and raspberry juice. Given 4 cups of orange juice, students need to determine the amounts of lemon and raspberry juice required. The solution shows that 2 cups each of lemon and raspberry juice are needed to maintain the ratio. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 6 |
Math Example: Ratios with Double Number Lines: Example 6TopicRatios DescriptionThis example presents a three-part ratio of 3:2:2 for orange, lemon, and raspberry juice. Given 6 cups of lemon juice, students need to determine the amounts of orange and raspberry juice required. The solution shows that 9 cups of orange juice and 6 cups of raspberry juice are needed to maintain the ratio. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 7 |
This is part of a series of math examples that show how to solve ratio problems involving double number lines. Note: The download is a PNG file. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 8 |
Math Example: Ratios with Double Number Lines: Example 8TopicRatios DescriptionThis example presents a three-part ratio of 4:3:2 for orange, lemon, and lime juice. Given 4 cups of lime juice, students need to determine the amounts of orange and lemon juice required. The solution shows that 8 cups of orange juice and 6 cups of lemon juice are needed to maintain the ratio. |
Ratios and Rates | |
Math Example: Ratios with Double Number Lines: Example 9 |
Math Example: Ratios with Double Number Lines: Example 9TopicRatios DescriptionThis example features a three-part ratio of 5:2:1 for orange, lemon, and lime juice. Given 6 cups of lemon juice, students need to determine the amounts of orange and lime juice required. The solution demonstrates that 15 cups of orange juice and 3 cups of lime juice are needed to maintain the ratio. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 11 |
Video Tutorial: Ratios and Proportions: Solving Proportions
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 1 |
Video Tutorial: Ratios: What Are Ratios?
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 12 |
Video Tutorial: Ratios and Proportions: Scale Drawings
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 13 |
Video Tutorial: Ratios and Rates: Rates from Data
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 14 |
Video Tutorial: Ratios and Rates: Rates and Slopes of Lines
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 15 |
Video Tutorial: Ratios and Rates: Converting Measurement Units
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 16 |
Video Tutorial: Ratios, Proportions, and Percents: Calculating Percents
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 17 |
Video Tutorial: Ratios: Visual Models for Ratios and Percents This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 18 |
Video Tutorial: Ratios and Rates: Ratios as Decimals
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 19 |
Video Tutorial: Ratios: Application of Ratios: Roofs and Ramps
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Applications of Ratios, Proportions, and Percents and Proportions | |
Video Tutorial: Ratios, Video 2 |
Video Tutorial: Ratios: Ratios with Three Items
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 20 |
Video Tutorial: Ratios and Rates: Rate of Change
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Point-Slope Form and Slope | |
Video Tutorial: Ratios, Video 3 |
Video Tutorial: Ratios: Fractional Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 4 |
Video Tutorial: Ratios: Ratios and Fractions
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 5 |
Video Tutorial: Ratios: Visual Models for Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 6 |
Video Tutorial: Ratios: Numerical Models for Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 7 |
Video Tutorial: Ratios: Equivalent Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 8 |
Video Tutorial: Ratios: Rates This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 9 |
Video Tutorial: Ratios: Unit Rates
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 10 |
Video Tutorial: Ratios and Proportions: What are Proportions?
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates |