Ratios, Rates & Proportions

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What is a ratio?

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A ratio is a comparison of two or more numbers that shows the relative size of one quantity to another.

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CCSS.6.RP.A.1

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How can you represent a ratio?

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A ratio can be represented using a fraction, a colon (e.g., 3:4), or in words (e.g., '3 to 4').

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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 rate that has been simplified to show the amount for one unit, such as miles per gallon.

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CCSS.6.RP.A.1

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If you travel 150 miles on 5 gallons, what is the unit rate in miles per gallon?

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30 miles per gallon.

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CCSS.6.RP.A.1

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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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If the ratio of red circles to blue stars is 3:4, how can it be expressed as a fraction?

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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, such as speed (miles per hour).

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CCSS.6.RP.A.3A

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What is the formula for finding a unit rate?

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To find a unit rate, divide the first quantity by the second quantity.

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CCSS.6.RP.A.1

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If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

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CCSS.6.RP.A.1

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What does it mean if two ratios form a proportion?

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It means that the two ratios are equivalent, or that they represent the same relationship.

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CCSS.6.RP.A.3A