Ratios & Proportions 2022-2023

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What is a ratio?

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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.

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CCSS.6.RP.A.1

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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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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 the unit rate?

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To find the unit rate, divide the quantity by the number of units. For example, if Samantha earned $90 for 6 hours, the unit rate is $90 ÷ 6 = $15 per hour.

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CCSS.6.RP.A.1

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What is the simplified ratio of wins to losses if a team won 100 games and lost 60?

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The simplified ratio of wins to losses is 5 to 3.

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CCSS.6.RP.A.1

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How do you express a ratio of part to whole?

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To express a ratio of part to whole, divide the part by the total. For example, if there are 3 red LEGOS out of 17 total LEGOS, the ratio is 3/17.

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CCSS.6.RP.A.1

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If a cafeteria worker needs 1 tray of tater tots for every 20 kids, how many trays are needed for 180 kids?

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The worker needs 9 trays of tater tots for 180 kids.

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CCSS.6.RP.A.3B

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What is the difference between part to part and part to whole ratios?

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Part to part ratios compare two parts of a whole, while part to whole ratios compare one part to the entire whole.

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What does it mean to compare ratios?

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Comparing ratios involves determining the relationship between two or more ratios to see how they relate to each other.

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CCSS.6.RP.A.3A

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What is the greatest common factor (GCF)?

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The GCF is the largest number that divides two or more numbers without leaving a remainder.