Ratios, Rates, Unit Rates

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What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows 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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How do you express a ratio?

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A ratio can be expressed in three ways: as a fraction (e.g., 2/3), with a colon (e.g., 2:3), or in words (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 a rate?

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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. 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 find a unit rate?

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of 4 triangles to 12 squares?

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The ratio of triangles to squares is 1:3, which is simplified from 4:12.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Which rate is equivalent to 6 miles per gallon?

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The equivalent rate is 18 miles to 3 gallons.

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CCSS.6.RP.A.3A

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If a car travels 30 miles in 2 hours, what is its speed in miles per hour?

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2