Ratios, Unit Rates & Proportions

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What is a ratio?

Back

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

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CCSS.7.RP.A.2C

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What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

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CCSS.6.RP.A.3A

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the formula for finding a unit rate?

Back

The formula for finding a 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 45 cookies are made in 3 batches, what is the unit rate of cookies per batch?

Back

15 cookies per batch.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Are the ratios 2:3 and 4:6 equivalent?

Back

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CCSS.6.RP.A.3A

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Back

Cross-multiply to get 45 * 3 = 27 * x.

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CCSS.7.RP.A.3

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What is the GCF of 6 and 18?

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The GCF of 6 and 18 is 6.