Proportions and Unit Rates

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you travel 150 miles on 5 gallons, the unit rate is 150 miles ÷ 5 gallons = 30 miles per gallon.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

What is the formula for finding the cost per item?

Back

The formula for finding the cost per item is: Total Cost ÷ Number of Items.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 5 ice cream bars cost $12.25, how do you find the price of one ice cream bar?

Back

Divide the total cost by the number of ice cream bars: $12.25 ÷ 5 = $2.45.

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CCSS.6.NS.B.3

Front

What is the relationship between unit rates and proportions?

Back

Unit rates are a specific type of proportion where one of the quantities is 1.

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CCSS.6.RP.A.3A

Front

How can you use proportions to solve real-world problems?

Back

You can set up a proportion to compare two ratios and solve for an unknown quantity.

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CCSS.7.RP.A.3

Front

What is the significance of unit rates in shopping?

Back

Unit rates help consumers compare prices to determine the best value for their money.

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CCSS.6.RP.A.3B

Front

If there are 5 ice cream cones for every 3 brownies, how do you find the number of cones sold if 24 brownies were sold?

Back

Set up a proportion: 5 cones/3 brownies = x cones/24 brownies. Cross-multiply and solve for x.

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CCSS.7.RP.A.2C

Front

What is the unit rate of slices of pizza if a pizza with 8 slices costs $12?

Back

The unit rate is $12 ÷ 8 slices = $1.50 per slice.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2