Ratios, Rates, & Unit Rate

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What is a ratio?

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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?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a rate?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

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A unit rate is a rate in which the second quantity is 1. For example, if you travel 60 miles in 1 hour, the unit rate is 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Calculate the unit rate: 120 customers in 8 hours.

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15 customers per hour.

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CCSS.6.RP.A.1

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What is the simplified form of the ratio 34:26?

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The simplified form is 17:13.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If I paid $15 for 6 gallons of gasoline, what is the price per gallon?

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$2.50 per gallon.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the simplified form of the ratio 20:25?

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The simplified form is 4:5.

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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 amount?

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Divide the total amount by the number of units. For example, if you have 120 items over 8 hours, divide 120 by 8.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean to compare ratios?

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Comparing ratios involves determining which ratio is greater, smaller, or if they are equivalent.

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CCSS.6.RP.A.3A