Ratios, Rates and Proportional Relationships

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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 quantities with different units, such as speed (miles per hour) or price per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio remains constant.

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CCSS.7.RP.A.2A

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How do you determine if two quantities are proportional?

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Two quantities are proportional if they can be expressed as a constant ratio, meaning that as one quantity changes, the other changes at a consistent rate.

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CCSS.7.RP.A.2A

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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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What does it mean for a graph to be proportional?

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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 unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, often used to compare rates.

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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 fraction?

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To find the unit rate from a fraction, divide the numerator by the denominator to express it as a rate per one unit.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If 50 apples cost $25, what is the cost of 1 apple?

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The cost of 1 apple is $0.50.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Back

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CCSS.7.RP.A.1