Ratios, Equivalent Ratios, and Ratio Tables SG

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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:b'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What are equivalent ratios?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different, such as 1:2 and 2:4.

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CCSS.6.RP.A.3A

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How do you find equivalent ratios?

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To find equivalent ratios, 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 a ratio table?

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A ratio table is a table that displays pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

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If the ratio of cats to dogs is 3:4, how many cats are there if there are 12 dogs?

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There are 9 cats.

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What is the missing value in the ratio table if the ratio of 2:3 corresponds to 8:?

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The missing value is 12.

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How do you solve for a missing value in a ratio?

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To solve for a missing value in a ratio, set up a proportion and cross-multiply to find the unknown.

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What is the ratio of red toy cars to all toy cars if there are 3 red, 2 black, and 5 white cars?

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The ratio is 3:10.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

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If the ratio of sweaters to vests is 6:5 and there are 30 vests, how many sweaters are there?

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There are 36 sweaters.

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What is the first step in creating a ratio table?

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The first step is to identify the quantities you want to compare and write them in a table format.