Understanding Ratios and Rates

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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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 quantities with different units, such as speed (miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio to a fraction?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the scale of a map?

Back

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.

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CCSS.7.RP.A.2C

Front

How do you find the equivalent ratio of two numbers?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

Front

What is the formula to calculate speed?

Back

Speed = Distance / Time.

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CCSS.6.RP.A.3B

Front

How do you solve for an unknown in a ratio problem?

Back

Set up a proportion using the known ratios and cross-multiply to solve for the unknown.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same relationship between quantities.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the total amount needed based on a ratio?

Back

Multiply the known quantity by the ratio's corresponding factor to find the total amount needed.