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 in the form 'a:b'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both parts of the ratio by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a tape diagram represent?

Back

A tape diagram is a visual model that uses rectangles to represent the parts of a ratio or a fraction, helping to illustrate relationships between quantities.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe calls for 1 cup of sugar and 3 cups of flour, what is the ratio of sugar to flour?

Back

1:3

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

In a ratio of 4:5, how many parts are there in total?

Back

There are 9 parts in total (4 + 5 = 9).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a tape diagram shows 2 parts for apples and 3 parts for oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the value of one part in a ratio?

Back

To find the value of one part, divide the total amount by the sum of the parts in the ratio.

Front

If there are 30 students in a class with a ratio of boys to girls as 2:3, how many boys are there?

Back

There are 12 boys.

Front

What is the first step to solve a problem involving ratios?

Back

Identify the ratio and the total quantity involved.

Front

If a tape diagram represents a ratio of 1:4 and the total length is 25 units, what is the length of each part?

Back

The length of each part is 5 units.