Proportions and unit rates

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

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How do you find a unit rate?

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To find a unit rate, divide the quantity by the number of units to express the amount per one unit.

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What is the formula for calculating the unit rate of a given quantity?

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Unit Rate = Total Quantity / Total Units.

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If a recipe requires 4 cups of flour for 2 loaves of bread, what is the unit rate of flour per loaf?

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2 cups of flour per loaf.

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CCSS.6.RP.A.1

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How do you set up a proportion to solve for an unknown?

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Set up a proportion by creating a ratio from the known values and then cross-multiply to solve for the unknown.

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CCSS.7.RP.A.3

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What is the relationship between ratios and proportions?

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Ratios compare two quantities, while proportions show that two ratios are equivalent.

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CCSS.6.RP.A.3A

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If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

60 miles per hour.

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How can you use proportions to solve real-world problems?

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Proportions can be used to compare quantities and find unknown values in various real-world contexts, such as cooking, travel, and finance.

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CCSS.7.RP.A.3

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What is the unit rate of calories per ounce if a 12 oz can contains 170 calories?

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Approximately 14.17 calories per ounce.

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CCSS.6.RP.A.1

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If you earn $120 for 10 hours of work, what is your hourly wage?

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$12 per hour.

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