Comparing Ratios Using Tables

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What is a ratio?

Back

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

CCSS.6.RP.A.2

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How do you compare ratios?

Back

To compare ratios, you can convert them to fractions and find a common denominator, or you can cross-multiply to see which is larger.

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CCSS.6.RP.A.3A

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What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

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CCSS.6.RP.A.3A

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What is a table used for in comparing ratios?

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A table can organize data to easily compare different ratios by listing quantities side by side.

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CCSS.6.RP.A.3A

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How can you find the ratio of maple trees to total trees in a park?

Back

Divide the number of planted maple trees by the total number of trees in the park.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of miles traveled to hours of time?

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It is calculated by dividing the total miles traveled by the total hours taken.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the significance of the greatest ratio in a comparison?

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The greatest ratio indicates the highest efficiency or performance in the context being analyzed.

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How do you determine which baseball game had the greatest ratio of walks to runs?

Back

Calculate the ratio of walks to runs for each game and compare the results.

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CCSS.6.RP.A.3A

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What is the formula for calculating a ratio?

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The formula for calculating a ratio is: Ratio = Quantity A / Quantity B.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean if two teams have equivalent ratios of walks to runs?

Back

It means both teams have the same efficiency in converting walks into runs.

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CCSS.6.RP.A.3A