Unit Rates and Proportions

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if you drive 60 miles in 2 hours, the unit rate is 30 miles per hour.

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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?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you have 54 miles driven in 9 days, divide 54 by 9 to find the unit rate of 6 miles per day.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

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CCSS.7.RP.A.2B

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How do you determine if two ratios form a proportion?

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To determine if two ratios form a proportion, cross-multiply and see if the products are equal. If a/b = c/d, then check if a*d = b*c.

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CCSS.7.RP.A.2A

Front

What does it mean for a relationship to be proportional?

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A relationship is proportional if two quantities maintain a constant ratio. For example, if you double one quantity, the other quantity also doubles.

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CCSS.7.RP.A.2A

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What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both are also fractions. For example, (1/2)/(3/4) is a complex fraction.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

What is the unit rate of 18 miles in 6 hours?

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The unit rate is 3 miles per hour, calculated by dividing 18 by 6.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the significance of unit rates in real life?

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Unit rates help compare different quantities in real life, such as speed, price per item, or efficiency, making it easier to make informed decisions.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the difference between a proportional and a non-proportional relationship?

Back

A proportional relationship has a constant ratio, while a non-proportional relationship does not maintain a constant ratio.

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CCSS.7.RP.A.2D