Rates, Ratios and Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

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How do you simplify a ratio?

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

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CCSS.6.RP.A.1

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

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CCSS.6.RP.A.1

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How do you convert a ratio to a fraction?

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To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

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CCSS.6.RP.A.1

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What is the difference between a ratio and a rate?

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A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate comparing distance and time).

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CCSS.6.RP.A.3A

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How do you determine if one rate is faster than another?

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To determine if one rate is faster, compare the unit rates of both scenarios; the one with the higher unit rate is faster.

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CCSS.6.RP.A.3B

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What is the simplest form of the ratio 18:3?

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The simplest form of the ratio 18:3 is 6:1.

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CCSS.6.RP.A.1

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If a teacher grades 25 assignments in 20 minutes, what is the rate per assignment?

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The rate per assignment is 1 assignment per 0.8 minutes, or 1.25 assignments per minute.

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CCSS.6.RP.A.1

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What does it mean to express a ratio in simplest form?

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Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

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CCSS.6.RP.A.1

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How do you find the unit rate from a given quantity?

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To find the unit rate, divide the total quantity by the number of units (e.g., total inches divided by total hours).

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CCSS.6.RP.A.1

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