Rates & Unit Rates

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What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units, such as speed (miles per hour) or price (cost per item).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. 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 calculate the unit rate?

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To calculate the unit rate, divide the first quantity by the second quantity. For example, if you have 70 words in 2 minutes, the unit rate is 70 ÷ 2 = 35 words per minute.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 20 tickets cost $250, what is the cost of one ticket?

Back

To find the cost of one ticket, divide the total cost by the number of tickets: $250 ÷ 20 = $12.50.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of 675 words in 9 minutes?

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To find the unit rate, divide the total words by the total minutes: 675 ÷ 9 = 75 words per minute.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

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What does it mean to find a missing numerator in a rate?

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Finding a missing numerator involves determining the unknown quantity in a ratio or rate when the denominator and the overall rate are known.

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CCSS.6.RP.A.3B

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If a car travels 300 miles using 20 gallons of gas, what is the unit rate in miles per gallon?

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To find the unit rate, divide the miles by the gallons: 300 miles ÷ 20 gallons = 15 miles per gallon.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the formula for calculating a unit rate?

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The formula for calculating a unit rate is: Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you express a rate as a fraction?

Back

A rate can be expressed as a fraction by placing the first quantity in the numerator and the second quantity in the denominator, such as 70 words/2 minutes.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the significance of unit rates in real life?

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Unit rates help compare different quantities and make informed decisions, such as determining the best price for products or the most efficient speed for travel.

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CCSS.6.RP.A.3B