Proportions

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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

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How do you set up a proportion?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

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CCSS.7.RP.A.2C

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What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

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CCSS.7.RP.A.3

Front

If 4 sunfish are to 3 perch, how do you find the number of perch for 300 sunfish?

Back

Set up the proportion: 4/3 = 300/x, then cross-multiply to find x.

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CCSS.7.RP.A.3

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What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the unit rate from a ratio?

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To find the unit rate, divide both terms of the ratio by the second term.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a grading machine can grade 48 tests in 1 minute, how many tests can it grade in 6 minutes?

Back

It can grade 48 tests/minute * 6 minutes = 288 tests.

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CCSS.3.OA.A.3

Front

What is the formula for finding the total cost based on a unit cost?

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Total Cost = Unit Cost x Number of Units.

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CCSS.6.RP.A.3B

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If refreshments cost $9.50 for 10 guests, how much does it cost per guest?

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Cost per guest = $9.50 / 10 = $0.95.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the cost for 80 guests if it costs $9.50 for 10 guests?

Back

Use the unit cost: $0.95 per guest x 80 guests = $76.

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CCSS.6.RP.A.3B