Proportions and Unit Rate

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 3 hours, the unit rate is 60 miles ÷ 3 hours = 20 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 8 out of 20 homeowners have cable television, what is the ratio of homeowners with cable to total homeowners?

Back

The ratio is 8:20, which simplifies to 2:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

Set up a proportion by creating a fraction for each ratio and then cross-multiply to solve for the unknown.

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CCSS.7.RP.A.2C

Front

What is the unit rate of gallons used per hour if 75 gallons are used in 6.25 hours?

Back

The unit rate is 12 gallons per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Hector paid $105 for 6 tickets, how do you find the cost per ticket?

Back

Divide the total cost by the number of tickets: $105 ÷ 6 = $17.50 per ticket.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both the numerator and denominator by the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of flashes per second if an LED light flashes 240 times in 2 minutes?

Back

The unit rate is 2 flashes per second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Jack digs a hole that is 3 feet deep for every 5 feet of tree height, how deep should he dig for a 17-foot tree?

Back

He should dig 10.2 feet deep.

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CCSS.6.RP.A.3B

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity ÷ Number of Units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2