6.1 & 6.12 Ratios, Rates, & Proportions

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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 of the ratio 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 an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities, even if the numbers are different.

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CCSS.6.RP.A.3A

Front

What is the ratio of 5 to 4 in simplest form?

Back

The ratio 5 to 4 is already in simplest form.

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If a recipe calls for 2 cups of flour to 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 a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as 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, set up a proportion and solve for the unknown value.

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What is the ratio of coaches to players if there are 3 coaches and 10 players?

Back

The ratio of coaches to players is 3:10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Which of the following ratios are equivalent to 20:24?

Back

10:12 and 5:6 are equivalent to 20:24.

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CCSS.6.RP.A.3A

Front

What is the ratio of red marbles to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio of red to yellow marbles is 2:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2