Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different 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 unit rate?

Back

A unit rate is a rate in which the second quantity is one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if 4 pounds of bananas cost $6, the unit rate is $6 ÷ 4 = $1.50 per pound.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 160 miles in 4 hours, what is the unit rate in miles per hour?

Back

The unit rate is 160 miles ÷ 4 hours = 40 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the total distance traveled if you know the rate and time?

Back

Multiply the rate by the time. For example, if a car travels at 40 miles per hour for 7 hours, the total distance is 40 miles/hour × 7 hours = 280 miles.

Tags

CCSS.6.RP.A.3B

Front

What is the formula for calculating cost per item?

Back

Cost per item = Total cost ÷ Number of items. For example, if 4 concert tickets cost $252, the cost per ticket is $252 ÷ 4 = $63.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a machine packs 70 boxes in 5 minutes, how many boxes can it pack in 1 minute?

Back

To find the number of boxes packed in 1 minute, divide the total boxes by the time. 70 boxes ÷ 5 minutes = 14 boxes per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between rates and proportions?

Back

Rates can be expressed as proportions, where one quantity is compared to another. For example, if 3 apples cost $1.50, the proportion is 3 apples/1.50 dollars.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number to simplify it to a per one unit basis.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions, such as finding the best deal.

Tags

CCSS.6.RP.A.3B