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

Front

What is a rate?

Back

A rate is a specific 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

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 30 miles per gallon.

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How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

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CCSS.6.RP.A.1

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Front

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

Front

If 5 gallons of gas allow you to travel 150 miles, how far can you travel per gallon?

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30 miles per gallon.

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CCSS.6.RP.A.1

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Front

In a proportion, if 3/4 = x/12, what is the value of x?

Back

x = 9.

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CCSS.7.RP.A.2C

Front

If the ratio of dogs to cats in a shelter is 5:3 and there are 25 dogs, how many cats are there?

Back

15 cats.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

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Front

If you drive 92 miles using 4 gallons of gas, what is the unit rate in miles per gallon?

Back

23 miles per gallon.

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