Ratios and Proportional Relationships

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

Front

How do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (3/4), with a colon (3:4), or with the word 'to' (3 to 4).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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 find an equivalent ratio?

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 ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5:11.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the first step to solve for a missing value in a ratio?

Back

Set up a proportion using the known values and the unknown value.

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CCSS.7.RP.A.2C

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys. (3/4 = x/28, so x = 21.)

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CCSS.7.RP.A.3

Front

What is an equivalent ratio to 3/4?

Back

An equivalent ratio to 3/4 is 12/16.

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CCSS.6.RP.A.3A

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

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CCSS.6.RP.A.3A

Front

How can you simplify a ratio?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2