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

Front

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

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 the unit rate?

Back

To find the unit rate, divide the first quantity by the second quantity to determine how much of the first quantity corresponds to one unit of the second quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 25 liters of jam takes 5 days to jar, how many days does it take to jar 30 liters?

Back

6 days.

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CCSS.6.RP.A.3B

Front

What is the unit rate for 24 miles in 4 hours?

Back

6 miles in 1 hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

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CCSS.6.RP.A.3A

Front

How can you express the ratio of boys to girls in Ms. Allenson's class?

Back

The ratio is 1 boy to 2 girls (simplified from 8 boys to 16 girls).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the better buy: Inkerz $3.00 for a 5-pack or Writeaway $6.99 for 12 pens?

Back

Writeaway is the better buy.

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CCSS.6.RP.A.3B

Front

How do you solve for an unknown in a proportion?

Back

Cross-multiply and then solve for the unknown variable.

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CCSS.7.RP.A.2C