7th Grade - Ratios, Unit Rates, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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 find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you have $97.50 for 15 pizzas, divide 97.50 by 15 to find the cost per pizza.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, if you can paint 46 square feet in one hour, the unit rate is 46 square feet per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of boys to girls if there are 3 boys and 4 girls?

Back

The ratio of boys to girls is 3:4.

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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. For example, the ratio 14 to 56 simplifies to 1 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. For example, if 1/2 = 2/4, then these two ratios are in proportion.

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CCSS.7.RP.A.2B

Front

How do you compare two unit rates?

Back

To compare two unit rates, calculate each unit rate and see which one is larger. The larger unit rate represents a better deal.

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CCSS.7.RP.A.1

Front

What is the unit rate of $4.39 for 11.5 oz of Doritos?

Back

To find the unit rate, divide 4.39 by 11.5, which equals approximately $0.38 per ounce.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Cindy paints 34 1/2 square feet in 3/4 hour, how many square feet can she paint in one hour?

Back

Cindy can paint 46 square feet in one hour.

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CCSS.7.RP.A.1

Front

What is the ratio of cupcakes to cookies if there are 14 cupcakes and 56 cookies?

Back

The ratio of cupcakes to cookies is 1:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2