Ratios, Rates and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form 'a to b' or a:b.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate?

Back

To calculate a 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

What is the difference between a rate and a ratio?

Back

A rate is a specific type of ratio that compares two quantities with different units, while a ratio compares two quantities with the same unit.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify 8:12, divide both by 4 to get 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a rate?

Back

A rate is a ratio that compares two different kinds of quantities, often expressed as a quantity per unit of another quantity, such as miles per hour or price per item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 4 tickets cost $124, what is the cost of 1 ticket?

Back

To find the cost of 1 ticket, divide the total cost by the number of tickets: $124 ÷ 4 = $31 per ticket.

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CCSS.6.RP.A.3B

Front

What is the ratio of girls to boys if there are 9 girls and 7 boys?

Back

The ratio of girls to boys is 9:7.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a rate to a different unit?

Back

To convert a rate to a different unit, multiply or divide by the appropriate conversion factor. For example, to convert 15 miles per hour to miles per 30 minutes, divide by 2 to get 7.5 miles.

Tags

CCSS.6.RP.A.3B

Front

What is the unit rate of 9 candy bars for $13.50?

Back

The unit rate is $13.50 ÷ 9 candy bars = $1.50 per candy bar.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find an equivalent rate?

Back

To find an equivalent rate, multiply or divide both the numerator and denominator of the rate by the same number. For example, 15 miles per hour is equivalent to 30 miles in 2 hours.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2