Ratios and Proportions

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What is a ratio?

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A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

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What is a proportion?

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A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

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How do you solve a proportion?

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To solve a proportion, cross-multiply and then divide to find the unknown value.

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CCSS.7.RP.A.2C

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What is the unit rate?

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The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

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CCSS.6.RP.A.1

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How do you find the unit rate from a given total?

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To find the unit rate, divide the total quantity by the number of units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of red toy cars to all toy cars if there are 2 black, 3 red, and 5 white toy cars?

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The ratio of red toy cars to all toy cars is 3:10.

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CCSS.6.RP.A.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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If there are 4 red apples and 3 green apples, what is the ratio of red apples to green apples?

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The ratio of red apples to green apples is 4:3.

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CCSS.6.RP.A.1

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What is the first step in solving a proportion?

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The first step in solving a proportion is to cross-multiply the two ratios.

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CCSS.7.RP.A.3