Ratio, Rates, Unit Rates, and Proportions

Front

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

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

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CCSS.6.RP.A.1

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Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, indicating how much of one quantity corresponds to one unit of another quantity.

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How do you calculate a unit rate?

Back

To calculate a unit rate, divide the numerator by the denominator to find the amount per one unit of the denominator.

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CCSS.6.RP.A.1

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Front

If Mike takes 18 minutes to read 4 pages, how long does it take him to read 1 page?

Back

4.5 minutes per page.

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Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, what is the unit rate of flour to sugar?

Back

The unit rate is 2/3 cups of flour per cup of sugar.

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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

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If there are 5 ice cream cones for every 3 brownies, what is the ratio of ice cream cones to brownies?

Back

The ratio is 5:3.

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How do you solve for an unknown in a proportion?

Back

Cross-multiply the known values and then solve for the unknown.

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CCSS.7.RP.A.2C

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What is the cost per pound if 4 pounds of bananas cost $6?

Back

$1.50 per pound.

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