Ratios, Rates & Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two or more numbers, showing the relative sizes of each value.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you represent a ratio?

Back

A ratio can be represented using a fraction, a colon (e.g., 5:3), or in words (e.g., '5 to 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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour.

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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.

Tags

CCSS.7.RP.A.2A

Front

In a proportion, what are cross-products?

Back

Cross-products are the products of the means and extremes in a proportion, and they are equal.

Tags

CCSS.7.RP.A.2A

Front

If the ratio of dogs to cats is 5 to 3 and there are 25 dogs, how many cats are there?

Back

c = 15 (using the proportion 5/3 = 25/c).

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13:10.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first number is the numerator and the second number is the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

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CCSS.6.RP.A.3A