Unit Rate, Rates & Proportions

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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 150 miles in 3 hours, the unit rate is 50 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 cost of an item?

Back

To calculate the unit cost, divide the total cost by the number of units. For example, if 15 pizzas cost $97.50, the unit cost per pizza is $97.50 ÷ 15 = $6.50.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

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CCSS.7.RP.A.2B

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How do you determine which item is a better buy?

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To determine which item is a better buy, calculate the unit price for each item and compare them. The item with the lower unit price is the better buy.

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CCSS.6.RP.A.3B

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What is the formula for finding the unit rate?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 120 miles in 2 hours, what is its speed in miles per hour?

Back

The speed is 60 miles per hour, calculated as 120 miles ÷ 2 hours.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities. For example, 1:2 is equivalent to 2:4.

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CCSS.6.RP.A.3A

Front

How can you express a rate?

Back

A rate can be expressed as a ratio that compares two different kinds of quantities, such as miles per hour or cost per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the cost per pound of a 20-lb bag of dog food that costs $23.44?

Back

The cost per pound is $1.17, calculated as $23.44 ÷ 20 lbs.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you earn $96 for mowing 8 lawns, how much do you earn per lawn?

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You earn $12 per lawn, calculated as $96 ÷ 8 lawns.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2