Proportions and Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or dollars per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate from a ratio?

Back

To calculate a unit rate from a ratio, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for finding a ratio?

Back

The formula for finding a ratio is: Ratio = Quantity A : Quantity B.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a proportional relationship mean?

Back

A proportional relationship means that two quantities maintain a constant ratio or unit rate, meaning as one quantity increases, the other quantity increases at a consistent rate.

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CCSS.7.RP.A.2D

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How can you identify a proportional relationship from a table of values?

Back

You can identify a proportional relationship from a table of values by checking if the ratios of corresponding values are equivalent.

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CCSS.7.RP.A.2D

Front

What is the significance of the ratio 4:3 in the context of apples?

Back

The ratio 4:3 indicates that for every 4 red apples, there are 3 green apples, showing the relationship between the two quantities.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is an example of a situation that represents a unit rate?

Back

Renting a movie for $1.00 per day is an example of a unit rate, as it shows the cost per day for renting.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of y to x if y = 3 and x = 1?

Back

The unit rate of y to x is 3:1, meaning for every 1 unit of x, there are 3 units of y.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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 normalized to one unit.

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CCSS.7.RP.A.3