Ratios and Rates

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, often expressed in the form a:b or a/b.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (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?

Back

A unit rate is a rate in which the denominator is 1, indicating how much of one quantity corresponds to one unit of another quantity.

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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 from a given rate?

Back

To calculate a unit rate, divide the numerator by the denominator to find the amount per one unit of the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Jose swims 3 laps in 2 minutes, how do you find the time to swim 27 laps?

Back

Set up a proportion or use the unit rate to find the time per lap, then multiply by the total number of laps.

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CCSS.6.RP.A.3B

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What is the relationship between equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities, even if the numbers are different.

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CCSS.6.RP.A.3A

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How can you determine if two ratios are equivalent?

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Two ratios are equivalent if their cross products are equal.

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CCSS.6.RP.A.3A

Front

What is the formula to find the rate of work done?

Back

Rate of work = Total work done / Time taken.

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CCSS.7.NS.A.3

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How do you convert a ratio into a fraction?

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To convert a ratio a:b into a fraction, write it as a/b.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the significance of simplifying ratios?

Back

Simplifying ratios makes them easier to understand and compare, revealing the simplest form of the relationship.

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CCSS.6.RP.A.3A