Ratios, Rates, 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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What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

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How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

Front

What is a rate?

Back

A rate is a special kind of ratio that compares two quantities with different units, such as miles per hour or price per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportion?

Back

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 can you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication, where you multiply the outer terms and the inner terms and set them equal to each other.

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CCSS.7.RP.A.2A

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If 2:3 is a ratio, what is the equivalent ratio when both terms are multiplied by 3?

Back

6:9

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CCSS.6.RP.A.3A

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If 1:2 is a ratio, what is the equivalent ratio when both terms are multiplied by 7?

Back

7:14

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CCSS.6.RP.A.3A

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If John caught 14 trout out of 50 fish, what is the ratio of trout to total fish?

Back

The ratio of trout to total fish is 14:50, which simplifies to 7:25.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you estimate a population based on a sample?

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To estimate a population, use the ratio of the sample to the total and apply it to the estimated total population.

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CCSS.7.RP.A.2C