Ratios, Equivalent Ratios, Ratio Tables

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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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can ratios be expressed?

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Ratios can be expressed in three ways: as a fraction (a/b), with a colon (a:b), or in words (a to b).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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Equivalent ratios are ratios that represent the same relationship between quantities, even if the numbers are different. For example, 2:3 and 4:6 are equivalent ratios.

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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.

Tags

CCSS.6.RP.A.3A

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If the ratio of cars to SUVs is 5:2 and there are 70 vehicles total, how many SUVs are there?

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There are 20 SUVs.

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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 red pens to blue pens is 2:5 and there are 40 blue pens, how many red pens are there?

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There are 16 red pens.

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What is the ratio of birds to all animals if there are 11 birds and 18 total animals?

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The ratio of birds to all animals is 11:18.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

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To solve for a missing value in a ratio table, use equivalent ratios to find the unknown quantity by setting up a proportion.

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What is the first step in solving a ratio problem?

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The first step is to understand the relationship between the quantities involved and identify the given ratios.