Use Unit Rates to Solve Problems

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, cost per item).

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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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To calculate a unit rate, divide the quantity by the number of units. For example, if you have 10 miles in 2 hours, the unit rate is 10 miles ÷ 2 hours = 5 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Why are unit rates useful in solving real-world problems?

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Unit rates help simplify comparisons and make it easier to understand relationships between quantities, allowing for better decision-making in real-world scenarios.

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CCSS.6.RP.A.3B

Front

If Kelly took 8 quizzes in 2 weeks, how many quizzes does she take per week?

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To find the unit rate, divide the total quizzes by the total weeks: 8 quizzes ÷ 2 weeks = 4 quizzes per week.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Christine knits 10 centimeters in 2 nights, how many centimeters does she knit per night?

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To find the unit rate, divide the total centimeters by the total nights: 10 centimeters ÷ 2 nights = 5 centimeters per night.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you use unit rates to predict future outcomes?

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By establishing a unit rate, you can project future quantities based on that rate. For example, if you know the rate of quizzes taken per week, you can predict total quizzes over a longer period.

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CCSS.6.RP.A.3B

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What is the unit rate of revenue per customer for Regan's Auto Wash if they made $15 from 3 customers?

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The unit rate is calculated as $15 ÷ 3 customers = $5 per customer.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Jane runs 8 miles in 4 practices, what is her running rate per practice?

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To find the unit rate, divide the total miles by the total practices: 8 miles ÷ 4 practices = 2 miles per practice.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you set up a proportion to solve for an unknown using unit rates?

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Set up a proportion by equating two ratios that represent the same relationship. For example, if you know the unit rate, you can set up a proportion to find an unknown quantity.

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CCSS.7.RP.A.3

Front

If Vicky spends 12 minutes on 4 calls, how many minutes does she spend per call?

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To find the unit rate, divide the total minutes by the total calls: 12 minutes ÷ 4 calls = 3 minutes per call.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2