Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if a store sees 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of $3.75 for 3 pounds of granola?

Back

The unit rate is $1.25 per pound, calculated by dividing $3.75 by 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of 2 hours of watching TV to 8 hours of sleeping?

Back

The ratio is 2:8, which can be simplified to 1:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to solve for a variable in a ratio?

Back

Solving for a variable in a ratio means finding the value of that variable that makes the ratio true.

Front

If 4/7 = 7/x, how do you solve for x?

Back

Cross-multiply to get 4x = 49, then divide both sides by 4 to find x = 12.25.

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CCSS.7.RP.A.3

Front

What is the significance of unit rates in real-life applications?

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Unit rates help compare different quantities and make informed decisions, such as determining the best price per item.

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CCSS.6.RP.A.3B

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How can ratios be used to compare different quantities?

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Ratios can be used to compare quantities by expressing them as a fraction or a relationship, allowing for easy comparison.

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CCSS.6.RP.A.3A

Front

What is the difference between a ratio and a fraction?

Back

A ratio compares two quantities, while a fraction represents a part of a whole.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2