Illustrative Math Alignment: Grade 7 Unit 2
Introducing Proportional Relationships
Lesson 10: Introducing Graphs of Proportional Relationships
Use the following Media4Math resources with this Illustrative Math lesson.
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Definition--Ratios, Proportions, and Percents Concepts--Similar Figures | Similar FiguresTopicRatios, Proportions, and Percents DefinitionSimilar figures are figures that have the same shape but may differ in size; their corresponding angles are equal, and their corresponding sides are proportional. DescriptionSimilar figures are fundamental in geometry and are used in various real-world applications, such as creating scale models and maps. For example, two triangles are similar if their corresponding angles are equal and their sides are in proportion. This concept is essential for understanding geometric relationships and solving problems involving shapes and sizes. |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Similar Figures | Similar FiguresTopicRatios, Proportions, and Percents DefinitionSimilar figures are figures that have the same shape but may differ in size; their corresponding angles are equal, and their corresponding sides are proportional. DescriptionSimilar figures are fundamental in geometry and are used in various real-world applications, such as creating scale models and maps. For example, two triangles are similar if their corresponding angles are equal and their sides are in proportion. This concept is essential for understanding geometric relationships and solving problems involving shapes and sizes. |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Similar Figures | Similar FiguresTopicRatios, Proportions, and Percents DefinitionSimilar figures are figures that have the same shape but may differ in size; their corresponding angles are equal, and their corresponding sides are proportional. DescriptionSimilar figures are fundamental in geometry and are used in various real-world applications, such as creating scale models and maps. For example, two triangles are similar if their corresponding angles are equal and their sides are in proportion. This concept is essential for understanding geometric relationships and solving problems involving shapes and sizes. |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Solving Proportions | Solving ProportionsTopicRatios, Proportions, and Percents DefinitionSolving proportions involves finding the value of a variable that makes two ratios equal. DescriptionSolving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 2/3 = x/6 you can solve for x by cross-multiplying to get 2 * 6 = 3 * x leading to x = 4 |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Solving Proportions | Solving ProportionsTopicRatios, Proportions, and Percents DefinitionSolving proportions involves finding the value of a variable that makes two ratios equal. DescriptionSolving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 2/3 = x/6 you can solve for x by cross-multiplying to get 2 * 6 = 3 * x leading to x = 4 |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Solving Proportions | Solving ProportionsTopicRatios, Proportions, and Percents DefinitionSolving proportions involves finding the value of a variable that makes two ratios equal. DescriptionSolving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 2/3 = x/6 you can solve for x by cross-multiplying to get 2 * 6 = 3 * x leading to x = 4 |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Solving Proportions | Solving ProportionsTopicRatios, Proportions, and Percents DefinitionSolving proportions involves finding the value of a variable that makes two ratios equal. DescriptionSolving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 2/3 = x/6 you can solve for x by cross-multiplying to get 2 * 6 = 3 * x leading to x = 4 |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Solving Proportions | Solving ProportionsTopicRatios, Proportions, and Percents DefinitionSolving proportions involves finding the value of a variable that makes two ratios equal. DescriptionSolving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 2/3 = x/6 you can solve for x by cross-multiplying to get 2 * 6 = 3 * x leading to x = 4 |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--Solving Proportions | Solving ProportionsTopicRatios, Proportions, and Percents DefinitionSolving proportions involves finding the value of a variable that makes two ratios equal. DescriptionSolving proportions is a key skill in algebra and is used in various applications, such as scaling recipes, converting units, and solving real-world problems. For example, if you know that 2/3 = x/6 you can solve for x by cross-multiplying to get 2 * 6 = 3 * x leading to x = 4 |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality | The Constant of ProportionalityTopicRatios, Proportions, and Percents DefinitionThe constant of proportionality is the constant value that relates two proportional quantities. DescriptionThe constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time). |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality | The Constant of ProportionalityTopicRatios, Proportions, and Percents DefinitionThe constant of proportionality is the constant value that relates two proportional quantities. DescriptionThe constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time). |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality | The Constant of ProportionalityTopicRatios, Proportions, and Percents DefinitionThe constant of proportionality is the constant value that relates two proportional quantities. DescriptionThe constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time). |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality | The Constant of ProportionalityTopicRatios, Proportions, and Percents DefinitionThe constant of proportionality is the constant value that relates two proportional quantities. DescriptionThe constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time). |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality | The Constant of ProportionalityTopicRatios, Proportions, and Percents DefinitionThe constant of proportionality is the constant value that relates two proportional quantities. DescriptionThe constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time). |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality | The Constant of ProportionalityTopicRatios, Proportions, and Percents DefinitionThe constant of proportionality is the constant value that relates two proportional quantities. DescriptionThe constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time). |
Proportions |
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Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality | The Constant of ProportionalityTopicRatios, Proportions, and Percents DefinitionThe constant of proportionality is the constant value that relates two proportional quantities. DescriptionThe constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time). |
Proportions |
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Desmos Activity: Exploring Hooke's Law | Explore Hooke's Law using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link. |
Graphs of Linear Functions and Proportions |
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Desmos Activity: Exploring Hooke's Law | Explore Hooke's Law using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link. |
Graphs of Linear Functions and Proportions |
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Desmos Activity: Exploring Hooke's Law | Explore Hooke's Law using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link. |
Graphs of Linear Functions and Proportions |
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Desmos Activity: Exploring Hooke's Law | Explore Hooke's Law using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link. |
Graphs of Linear Functions and Proportions |
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Formulas--Converting Celsius to Fahrenheit | Formulas--Converting Celsius to Fahrenheit
The formula for the Converting Celsius to Fahrenheit. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Celsius to Fahrenheit | Formulas--Converting Celsius to Fahrenheit
The formula for the Converting Celsius to Fahrenheit. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Celsius to Fahrenheit | Formulas--Converting Celsius to Fahrenheit
The formula for the Converting Celsius to Fahrenheit. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Celsius to Fahrenheit | Formulas--Converting Celsius to Fahrenheit
The formula for the Converting Celsius to Fahrenheit. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Hours | Formulas--Converting Days to Hours
The formula for Converting Days to Hours. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Hours | Formulas--Converting Days to Hours
The formula for Converting Days to Hours. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Hours | Formulas--Converting Days to Hours
The formula for Converting Days to Hours. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Minutes | Formulas--Converting Days to Minutes
The formula for Converting Days to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Minutes | Formulas--Converting Days to Minutes
The formula for Converting Days to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Minutes | Formulas--Converting Days to Minutes
The formula for Converting Days to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Seconds | Formulas--Converting Days to Seconds
The formula for Converting Days to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Seconds | Formulas--Converting Days to Seconds
The formula for Converting Days to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Days to Seconds | Formulas--Converting Days to Seconds
The formula for Converting Days to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Degrees to Radians | Formulas--Converting Degrees to Radians
The formula for Converting Degrees to Radians. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Degrees to Radians | Formulas--Converting Degrees to Radians
The formula for Converting Degrees to Radians. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Degrees to Radians | Formulas--Converting Degrees to Radians
The formula for Converting Degrees to Radians. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Degrees to Radians | Formulas--Converting Degrees to Radians
The formula for Converting Degrees to Radians. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Fahrenheit to Celsius | Formulas--Converting Fahrenheit to Celsius
The formula for Converting Fahrenheit to Celsius. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Fahrenheit to Celsius | Formulas--Converting Fahrenheit to Celsius
The formula for Converting Fahrenheit to Celsius. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Fahrenheit to Celsius | Formulas--Converting Fahrenheit to Celsius
The formula for Converting Fahrenheit to Celsius. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Fahrenheit to Celsius | Formulas--Converting Fahrenheit to Celsius
The formula for Converting Fahrenheit to Celsius. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Hours to Minutes | Formulas--Converting Hours to Minutes
The formula for Converting Hours to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Hours to Minutes | Formulas--Converting Hours to Minutes
The formula for Converting Hours to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Hours to Minutes | Formulas--Converting Hours to Minutes
The formula for Converting Hours to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Hours to Seconds | Formulas--Converting Hours to Seconds
The formula for Converting Hours to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Hours to Seconds | Formulas--Converting Hours to Seconds
The formula for Converting Hours to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Hours to Seconds | Formulas--Converting Hours to Seconds
The formula for Converting Hours to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Minutes to Seconds | Formulas--Converting Minutes to Seconds
The formula for Converting Minutes to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Minutes to Seconds | Formulas--Converting Minutes to Seconds
The formula for Converting Minutes to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
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Formulas--Converting Minutes to Seconds | Formulas--Converting Minutes to Seconds
The formula for Converting Minutes to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates |
