Ratios, Rates, & Proportions. Oh My! (M7)

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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

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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

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What is the ratio of red toy cars to all toy cars if there are 2 black, 3 red, and 5 white toy cars?

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3:10

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CCSS.6.RP.A.1

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What is a rate?

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A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour.

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CCSS.6.RP.A.1

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How do you convert units in a ratio?

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Always convert to the smaller unit to simplify the ratio.

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What is the unit rate?

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The 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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If Justin types 408 words in 4 minutes, how many words does he type per minute?

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102 words per minute.

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CCSS.6.RP.A.1

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What is the best buy if a 4-pack of t-shirts costs $2.24, a 6-pack costs $3.12, and an 8-pack costs $4.24?

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A 6-pack of t-shirts for $3.12.

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CCSS.6.RP.A.3B

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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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How do you solve a proportion?

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Cross-multiply the terms and set the products equal to each other.

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