Calculate Rates and Ratios

Front

What is a rate?

Back

A rate is a ratio that compares two different kinds of quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows 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

Front

How do you calculate the price per item?

Back

To calculate the price per item, divide the total cost by the number of items. For example, if 4 tickets cost $252, the price per ticket is $252 ÷ 4 = $63.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number. For example, the ratio 2:3 is equivalent to 4:6.

Tags

CCSS.6.RP.A.3A

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify 35:14, divide both by 7 to get 5:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, while ratios can compare any two quantities.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you determine which option is a better deal?

Back

To determine which option is a better deal, calculate the unit price (price per ounce or item) for each option and compare them.

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CCSS.6.RP.A.3B

Front

If a person jogs 2,000 feet in 4 minutes, how far will they jog in 8 minutes at the same rate?

Back

They will jog 4,000 feet in 8 minutes, as the rate remains constant.

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CCSS.6.RP.A.3B

Front

What is the unit price of Doritos if they cost $4.39 for 11.5 oz?

Back

The unit price is $4.39 ÷ 11.5 oz = approximately $0.38 per ounce.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is an equivalent ratio for 35:50?

Back

An equivalent ratio for 35:50 is 7:10, found by dividing both terms by 5.

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CCSS.6.RP.A.3A