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

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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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 ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Calculate the unit rate: 60 miles in 2 hours.

Back

30 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of 150 calories burned in 30 minutes?

Back

5 calories per minute.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Express the ratio 12:16 in simplest form.

Back

The simplest form of 12:16 is 3:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a car travels 240 miles in 4 hours, what is the speed in miles per hour?

Back

The speed is 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of 9 apples to 12 oranges?

Back

The ratio is 3:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the better buy between two products?

Back

Calculate the unit price for each product and compare them; the lower unit price indicates the better buy.

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CCSS.6.RP.A.3B