Ratios & Equivalent Ratios

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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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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, even if the numbers are different.

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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 chocolate chips to flour in a recipe that calls for 3 cups of flour and 2 cups of chocolate chips?

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2:3

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of moons to suns is 4 to 8, what is the simplified form of this ratio?

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The simplified form is 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express the ratio of 5 to 4 in fraction form?

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5 to 4 can be expressed as the fraction 5/4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, and equivalent ratios correspond to equivalent fractions.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If 30 kids like grape juice and the ratio of kids who like pineapple juice is 4:3, how many kids like pineapple juice?

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40 kids like pineapple juice.

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What is the first step to solving a problem involving ratios?

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Identify the quantities being compared and express them as a ratio.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a ratio table?

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A ratio table is a tool used to organize equivalent ratios in a structured format, often showing how two quantities change together.