Ratios, Equivalent Ratios, Unit Rates

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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'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio using words?

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You can write a ratio using the word 'to', for example, '3 to 4'.

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CCSS.6.RP.A.1

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different, such as 2:3 and 4:6.

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CCSS.6.RP.A.3A

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If there are 4 birds and 6 snakes, what is the ratio of birds to snakes?

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4:6 or simplified to 2:3.

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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 comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

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CCSS.6.RP.A.1

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If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

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$8 per pound.

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CCSS.6.RP.A.1

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Which ratio is equivalent to 5:7?

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25:35.

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CCSS.6.RP.A.3A

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How do you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

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What is the ratio of 10 apples to 5 oranges?

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10:5 or simplified to 2:1.

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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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2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2