Rates, Ratios, proportions and percents

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What is a ratio?

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A ratio is a comparison of 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 do you express a ratio?

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Ratios can be expressed in three ways: using a colon (e.g., 2:3), the word 'to' (e.g., 2 to 3), or as a fraction (e.g., 2/3).

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CCSS.6.RP.A.1

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What is a proportion?

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A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

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How do you find a unit rate?

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To find a unit rate, divide the first quantity by the second quantity to get the amount per one unit of the second quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a percent?

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A percent is a ratio that compares a number to 100, often used to express how much of something there is out of a total.

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How do you convert a percent to a fraction?

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To convert a percent to a fraction, write the percent over 100 and simplify if possible.

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What is the ratio of boys to girls if there are 8 boys and 12 girls?

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The ratio of boys to girls is 2 to 3.

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CCSS.6.RP.A.1

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If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2 to 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does the term 'unit rate' mean?

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A unit rate is a rate in which the second quantity is 1, such as 60 miles per hour.

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CCSS.6.RP.A.1

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How can you express the ratio of 4 apples to 6 oranges?

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The ratio can be expressed as 4:6, which simplifies to 2:3.

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CCSS.6.RP.A.1

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