Rates, Ratios and Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities expressed as a fraction, indicating 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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What are the three types of ratios?

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The three types of ratios are Part to Part, Part to Whole, and Whole to Part.

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How do you simplify a ratio?

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

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

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CCSS.6.RP.A.1

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If the ratio of A to B is 3:4, what is the equivalent ratio if both A and B are multiplied by 2?

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The equivalent ratio would be 6:8.

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CCSS.6.RP.A.3A

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How do you convert a ratio into a percentage?

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To convert a ratio into a percentage, divide the first number by the second number and multiply by 100.

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In a ratio of 3:5, if there are 30 tenants, how many cars are there?

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If the ratio of tenants to cars is 3:5, then with 30 tenants, there would be 50 cars.

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What is the difference between a ratio and a rate?

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A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate comparing distance and time).

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CCSS.6.RP.A.3A

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How can you determine if a ratio is written incorrectly?

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A ratio is written incorrectly if it does not maintain the correct relationship between the two quantities being compared.

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What is the formula for calculating a unit rate?

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The formula for calculating a unit rate is: Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

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