Proportions, Rates, and Unit Rates

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

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 determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

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CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

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CCSS.7.RP.A.2B

Front

If 3:5 is equivalent to x:15, what is x?

Back

x = 9.

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CCSS.7.RP.A.2B

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 300 miles in 5 hours, what is the unit rate of speed?

Back

The unit rate of speed is 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

If 4:6 is simplified, what is the simplest form?

Back

The simplest form of 4:6 is 2:3.

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CCSS.6.RP.A.3A