Ratio, Rates, and Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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Ratios can be written in three ways: using a colon (e.g., 4:3), as a fraction (e.g., 4/3), or in words (e.g., 4 to 3).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a rate?

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A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or dollars per pound.

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CCSS.6.RP.A.1

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What is a unit rate?

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A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for 1 hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean for two ratios to be proportional?

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Two ratios are proportional if they express the same relationship, meaning their cross products are equal.

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CCSS.7.RP.A.2D

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If 20 comedies are rented and the ratio of comedies to action movies is 4:3, how many action movies were rented?

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15 action movies.

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How do you find a missing value in a proportion?

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You can find a missing value in a proportion by cross-multiplying and solving for the unknown.

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CCSS.7.RP.A.2B

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What is the formula for finding a unit rate?

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To find a unit rate, divide the first quantity by the second quantity, ensuring the second quantity is 1.

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What is an example of a real-life ratio?

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An example of a real-life ratio is 4 meatballs to 1 cup of sauce.

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CCSS.6.RP.A.1

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How can you determine if two ratios are equivalent?

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Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

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CCSS.6.RP.A.3A