Ratios, Rates, & Unit Rate

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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CCSS.6.RP.A.1

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity of one item by the quantity of another item, resulting in a rate per one unit of the second item.

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What is the difference between a ratio and a rate?

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A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds, often involving time or distance.

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CCSS.6.RP.A.3A

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

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The unit rate of speed is 60 miles per hour (300 miles ÷ 5 hours).

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What is a proportion?

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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 determine if two ratios form a proportion?

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Two ratios form a proportion if the cross products are equal.

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CCSS.7.RP.A.2A

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What is the formula for calculating a rate?

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The formula for calculating a rate is: Rate = Quantity 1 / Quantity 2.

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What is an example of a rate in everyday life?

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An example of a rate is the price of gasoline per gallon, such as $2.50 per gallon.

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CCSS.6.RP.A.1

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How do you convert a ratio to a percentage?

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To convert a ratio to a percentage, divide the first quantity by the second quantity and multiply by 100.

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What is the significance of unit rates in real-world applications?

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Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions.

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