Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio?

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A ratio can be expressed in three ways: as a fraction (e.g., 4/3), with a colon (e.g., 4:3), or with the word 'to' (e.g., 4 to 3).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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 quantities, even if the numbers are different (e.g., 2:3 is equivalent to 4:6).

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CCSS.6.RP.A.3A

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How can 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 red apples to green apples if there are 4 red apples and 3 green apples?

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The ratio of red apples to green apples is 4:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you have the ratio 8:20, can you get an equivalent ratio by subtracting 2 from each number?

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No, subtracting 2 from each number will not yield an equivalent ratio.

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CCSS.6.RP.A.3A

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What is the total number of toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

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Patrick has a total of 10 toy cars (2 + 3 + 5 = 10).

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CCSS.2.OA.A.1

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What is the ratio of red toy cars to all toy cars if Patrick has 3 red toy cars?

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The ratio of red toy cars to all toy cars is 3:10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a bag of marbles, if there are 3 blue, 2 red, and 5 yellow marbles, what is the ratio of red to yellow marbles?

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The ratio of red to yellow marbles is 2:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What happens to the ratio if you double both quantities?

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Doubling both quantities will result in an equivalent ratio.

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CCSS.6.RP.A.3A