Ratios, Rates and Unit Rates

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressing how much of one quantity exists in relation to another.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you calculate a unit rate?

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A unit rate is calculated by dividing the quantity of one item by the quantity of another item, typically expressed as 'per one'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of 35 diapers costing $6.99?

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$0.20 per diaper.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Lynnette washes 95 cars in 5 days, how many cars does she wash per day?

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19 cars per day.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the unit rate of $3.75 for 3 pounds of granola?

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$1.25 per pound.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit rate of a cost per pound?

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Divide the total cost by the total weight in pounds.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of $40 for 5 pounds of concrete?

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$8 per pound.

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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 cost per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of squares to circles if there are 12 squares and 6 circles?

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The ratio is 2:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2