Ratios, Rates, & Unit Rate

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What is a ratio?

Back

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

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as distance to time (e.g., miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. It tells you how much of one quantity corresponds to one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the unit rate from a total quantity?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if there are 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

60 miles per hour (300 miles ÷ 5 hours = 60 miles/hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find the unit price?

Back

Unit Price = Total Price ÷ Quantity. For example, if 6 gallons cost $15, the unit price is $15 ÷ 6 = $2.50 per gallon.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If you buy 3 pounds of apples for $6, what is the price per pound?

Back

$2 per pound ($6 ÷ 3 pounds = $2/pound).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between ratios and fractions?

Back

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 4:8 simplifies to 1:2.

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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, 1/2 = 2/4 is a proportion.

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CCSS.7.RP.A.2B