Ratios and 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 to b' or 'a:b'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can a ratio be expressed?

Back

A ratio can be expressed using a colon (:) or the word 'to'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between quantities, even if the numbers are different, such as 6:7 and 36:42.

Tags

CCSS.6.RP.A.3A

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How do you find an equivalent ratio?

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

Tags

CCSS.6.RP.A.3A

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What is the ratio of nickels to total coins if there are 3 pennies, 4 nickels, and 5 dimes?

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The ratio of nickels to total coins is 4:12.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the total number of coins in a ratio problem?

Back

To calculate the total number of coins, add the quantities of each type of coin together.

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What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate ratios and relationships between quantities, often resembling a segment of tape divided into parts.

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How can tape diagrams help in solving ratio problems?

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Tape diagrams help visualize the relationships between quantities, making it easier to understand and solve ratio problems.

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If 30 kids like grape juice, how can you find how many like pineapple juice using ratios?

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You can set up a proportion based on the known ratio of kids who like grape juice to those who like pineapple juice and solve for the unknown.

Tags

CCSS.7.RP.A.3

Front

What is the equivalent ratio of 5 to 4?

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An equivalent ratio of 5 to 4 is 25 to 20.

Tags

CCSS.6.RP.A.3A