Rates, Ratios, and Proportions

Front

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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How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply the two ratios and then isolate the variable.

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CCSS.7.RP.A.2C

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

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CCSS.7.RP.A.2A

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for calculating a rate?

Back

The formula for calculating a rate is: Rate = Quantity / Time.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a job pays $X for Y hours, how do you find the pay per hour?

Back

To find the pay per hour, divide the total pay ($X) by the number of hours worked (Y).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two quantities with different units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2