Ratios, Rates, Unit Rates,

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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

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

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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 (distance per time).

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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, such as miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

Back

60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find a unit rate from a total?

Back

Divide the total quantity by the number of units to find the unit rate.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the formula for finding a proportion?

Back

A proportion states that two ratios are equal, often written as a/b = c/d.

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CCSS.7.RP.A.2A

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If 3 apples cost $1.50, what is the cost of 1 apple?

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$0.50 per apple.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between ratios and fractions?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you solve a proportion?

Back

Cross-multiply and then divide to find the unknown value.

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CCSS.7.RP.A.2C