Rates, Ratios, and Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you calculate a unit rate?

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To calculate a unit rate, divide the total quantity by the number of units. For example, if 4 tires cost $272, the unit rate is $272 ÷ 4 = $68 per tire.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the unit rate of a quantity?

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The unit rate of a quantity is the amount of one item per one unit of another item, often expressed as 'per' (e.g., dollars per item, miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you determine the best deal when comparing prices?

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To determine the best deal, calculate the unit price for each option and compare them. The option with the lowest unit price is the best deal.

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CCSS.6.RP.A.3B

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What is the formula for finding the cost per item in a ratio?

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The formula is: Cost per item = Total cost / Number of items.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the significance of unit rates in real-life applications?

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Unit rates help consumers make informed decisions by allowing them to compare prices and value across different products or services.

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CCSS.6.RP.A.3B

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How do you find the yield per tree in an orchard?

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To find the yield per tree, divide the total harvest by the number of trees. For example, if an orchard harvested 1,215 pounds of oranges from 15 trees, the yield per tree is 1,215 ÷ 15 = 81 pounds per tree.

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CCSS.7.EE.B.3

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you convert a ratio to a percentage?

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To convert a ratio to a percentage, divide the first quantity by the second quantity and multiply by 100. For example, a ratio of 1:4 is (1/4) * 100 = 25%.

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What is a practical example of using ratios in everyday life?

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A practical example is cooking, where recipes often use ratios of ingredients to ensure the correct proportions.