Ratios, Ratio Tables and Double Number lines and Rates

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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'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common factor (GCF).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a ratio table?

Back

A ratio table is a table that shows equivalent ratios, helping to visualize the relationship between two quantities.

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What is a double number line?

Back

A double number line is a visual representation that shows two sets of numbers along parallel lines, helping to compare ratios.

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CCSS.7.RP.A.2D

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How do you find equivalent ratios?

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To find equivalent ratios, 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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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a rate?

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A rate is a special 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

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How do you convert a ratio to a fraction?

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To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If 5 apples cost $2, what is the cost per apple?

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The cost per apple is $0.40.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between ratios and proportions?

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A proportion states that two ratios are equal, often written as a:b = c:d.

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CCSS.6.RP.A.3A