Using Unit Rates

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the unit rate from a proportion?

Back

To find the unit rate from a proportion, divide the quantity of interest by the number of units. For example, if you have 84 apples for 7 baskets, the unit rate is 84 ÷ 7 = 12 apples per basket.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Justin can type 408 words in 4 minutes, how do you calculate his typing speed per minute?

Back

To find the typing speed per minute, divide the total words by the total minutes: 408 words ÷ 4 minutes = 102 words per minute.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the cost per item?

Back

To find the cost per item, divide the total cost by the number of items. For example, if Brittney bought 13 peaches for $8.84, the cost per peach is $8.84 ÷ 13 = $0.68.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Ashley's car runs 65 miles per hour, how do you find the distance traveled in a certain time?

Back

To find the distance traveled, multiply the speed by the time. For example, in 5 hours, the distance is 65 miles/hour × 5 hours = 325 miles.

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CCSS.6.RP.A.3B

Front

What is the formula to find a missing numerator in a proportion?

Back

In a proportion a/b = c/d, the missing numerator can be found using cross-multiplication: a × d = b × c.

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CCSS.7.RP.A.2B

Front

If 2/3 = ?/9, how do you find the missing numerator?

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To find the missing numerator, use cross-multiplication: 2 × 9 = 3 × ?; thus, ? = 6.

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CCSS.5.NF.B.5B

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to solve proportions by finding equivalent ratios that simplify to a unit rate.

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How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the quantity of interest and the denominator is 1. For example, 60 miles per hour can be written as 60/1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Why is it important to understand unit rates in real life?

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Understanding unit rates helps in making informed decisions, such as comparing prices, calculating speeds, and understanding ratios in everyday situations.

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CCSS.6.RP.A.3B