Ratios & Tape Diagrams

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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:b'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

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What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent ratios and relationships between quantities.

Front

If the ratio of girls to boys is 3:8 and there are 48 boys, how many girls are there?

Back

18 girls.

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What is the equivalent ratio of 6:7 when both terms are multiplied by 6?

Back

36:42.

Tags

CCSS.6.RP.A.3A

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In a ratio of 6:5, if there are 30 vests, how many sweaters are there?

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36 sweaters.

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What does it mean if a ratio is simplified?

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A simplified ratio is expressed in its lowest terms, meaning that the two quantities have no common factors other than 1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Give an example of a real-life ratio.

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4 meatballs : 1 cup of sauce.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the relationship between quantities, making it easier to see how to divide or multiply to find unknowns.

Front

What is the first step in solving a ratio problem using a tape diagram?

Back

Identify the total number of parts represented in the ratio.