Rates and ratios

Front

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 units, such as speed (miles per hour) or price per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find a missing number in a ratio?

Back

To find a missing number in a ratio, you can set up a proportion and solve for the unknown value.

Front

If the ratio of cats to dogs is 2:3 and there are 10 cats, how many dogs are there?

Back

15 dogs (Set up the proportion: 2/3 = 10/x, solve for x).

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CCSS.7.RP.A.3

Front

What is the unit rate?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often used to compare rates.

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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?

Back

To calculate the unit rate, divide the total quantity by the number of units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

60 miles per hour (240 miles ÷ 4 hours).

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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

Front

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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2