Ratios, Rates, & Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price 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?

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A unit rate is a rate in which the second quantity is one unit, making it easier to compare different rates.

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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 first quantity by the second quantity to find the amount per one unit.

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CCSS.6.RP.A.1

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What is the formula for finding a ratio?

Back

The formula for finding a ratio is: Ratio = Quantity A : Quantity B.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you pay $31.20 for 15 gallons of gas, what is the unit rate?

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The unit rate is $2.08 per gallon.

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CCSS.6.RP.A.1

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What is the unit rate of 680 calories in 6 muffins?

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The unit rate is approximately 113.3 calories per muffin.

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CCSS.6.RP.A.1

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How do you express a ratio of two quantities?

Back

A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 2:3), or with the word 'to' (e.g., 2 to 3).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the total time if Scott ran for 18 minutes, rode his bike for 20 minutes, and lifted weights for 15 minutes?

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The total time is 53 minutes.

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CCSS.3.MD.A.1

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What is the ratio of the time Scott rode his bike to the total time he exercised?

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The ratio is 20:53.

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CCSS.6.RP.A.1

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