Ratios & Ratio Tables

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What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 3/5), with a colon (e.g., 3:5), or with the word 'to' (e.g., 3 to 5).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

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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

Front

What is the ratio of blue triangles to red squares if there are 4 blue triangles and 3 red squares?

Back

The ratio of blue triangles to red squares is 4:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Charles has 7 baseball cards and Tracy has 10, what is the ratio of Charles's cards to Tracy's cards?

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The ratio of Charles's cards to Tracy's cards is 7:10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the equivalent ratio of 3:5 when both terms are multiplied by 2?

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The equivalent ratio is 6:10.

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CCSS.6.RP.A.3A

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If there are 3 squares and 9 triangles, what is the ratio of squares to triangles?

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The ratio of squares to triangles is 1:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the first step in writing a ratio?

Back

Identify the two quantities you want to compare.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form equivalent ratios.