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 divisor (GCD).

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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 determine if two ratios form a proportion?

Back

Cross-multiply the ratios. If the products are equal, then the ratios form a proportion.

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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

If 5 cups of flour make 3 pies, how many cups of flour are needed for 1 pie?

Back

1.67 cups of flour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Write the ratio of 16 boys to 32 girls in simplest form.

Back

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If you spend $40 on 5 pounds of concrete, what is the cost per pound?

Back

$8 per pound.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of stars to squares if there are 3 stars and 4 squares?

Back

The ratio is 3 to 4.

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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