Ratios, Rates, Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, 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

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, often used to simplify comparisons.

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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 total?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you earn $200 for 8 hours, the unit rate is $200 ÷ 8 = $25 per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

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How can you tell 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

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What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

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CCSS.7.RP.A.2D

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What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

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CCSS.7.RP.A.2B

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If 88 students are divided into 4 classes, how many students are in each class?

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22 students per class (88 ÷ 4 = 22).

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CCSS.3.OA.A.2

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What is the formula to find a unit rate?

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Unit Rate = Total Quantity ÷ Number of Units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2