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What is a proportional relationship?

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In this lesson you will learn to how to create proportional relationships by expanding ratios.

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Let’s Review A ratio is a comparison between two quantities that are related.

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A Common Mistake Since the ratio of pineapples to apples is 2 to 3, there must be just 2 pineapples and three apples.

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Core Lesson Ratios express a constant pattern of a relationship Ratios express a constant pattern of a relationship hamburger: The ratio of buns to patties is 2 : 1. For every two buns, there is one patty.

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Core Lesson 4 : 2 6 : 3 6 : 3 reduces to 2 : 1 4 : 2 reduces to 2 : 1 2 : 1 means a pattern of two buns for every patty 2 : 1

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Core Lesson A ratio can have larger equivalent ratios just like a fraction can have larger equivalent fractions. 1 : 4 x2 x2 2 : 8

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In this lesson, you learned how to create proportional relationships by expanding ratios.

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Guided Practice The ratio of orange to green candy in a bowl is 1 to 2. Draw a picture of how a bowl with 12 pieces would look.

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Extension Activities Select a different groups of students in your class and record their liking of the following hobbies. Do any of these ratios have a proportional relationship? If so, which ones? : students like sports. : students like to play video games. : students like to cook. : students like to dance. : students like to sing.

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Quick Quiz Proportional relationships can be difficult to understand. Describe what you would say if you were going to explain this concept to a fellow classmate who doesn’t get it.

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