6.5B Proportions

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 solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

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CCSS.7.RP.A.3

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

How do you find the unit rate from a given total?

Back

To find the unit rate, divide the total quantity by the number of units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for finding the total number of items in a proportional relationship?

Back

Total items = (Number of items in known package / Weight of known package) * Weight of new package.

Tags

CCSS.7.RP.A.2C

Front

If a machine can process a certain number of items in a specific time, how do you calculate the time for a different number of items?

Back

Time = (Number of items to process / Rate of processing) where Rate is items per time unit.

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CCSS.6.RP.A.3B

Front

What is the relationship between time and rate in a proportional situation?

Back

Time is inversely proportional to rate; as the rate increases, the time taken decreases, and vice versa.

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CCSS.7.RP.A.2D

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the significance of cross-multiplication in solving proportions?

Back

Cross-multiplication allows you to eliminate the fractions and simplify the equation to find the unknown variable.

Tags

CCSS.7.RP.A.2C

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first number by the second number and multiply by 100.