Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the unit rate from a ratio?

Back

To calculate the unit rate from a ratio, divide the first quantity by the second quantity. For example, if a recipe uses 4 cups of flour for 8 cookies, the unit rate is 4 cups ÷ 8 cookies = 0.5 cups per cookie.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a store sells 15 apples for $3.75, how do you find the cost per apple?

Back

To find the cost per apple, divide the total cost by the number of apples: $3.75 ÷ 15 apples = $0.25 per apple.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find speed in miles per hour?

Back

The formula to find speed is: Speed = Distance ÷ Time. For example, if a cyclist travels 90 miles in 3 hours, the speed is 90 miles ÷ 3 hours = 30 mph.

Tags

CCSS.6.RP.A.3B

Front

How do you determine if one rate is faster than another?

Back

To determine if one rate is faster than another, compare the unit rates. For example, if one teacher grades 25 assignments in 20 minutes and another grades 36 in 30 minutes, calculate the unit rates and compare them.

Tags

CCSS.6.RP.A.3B

Front

What is the unit rate of typing speed if Justin types 408 words in 4 minutes?

Back

To find the unit rate of typing speed, divide the total words by the time: 408 words ÷ 4 minutes = 102 words per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe requires 4 cups of flour for 8 cookies, how much flour is needed for 1 cookie?

Back

To find the amount of flour needed for 1 cookie, divide the total flour by the number of cookies: 4 cups ÷ 8 cookies = 0.5 cups per cookie.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of grading homework assignments if a teacher grades 25 in 20 minutes?

Back

To find the unit rate, divide the number of assignments by the time: 25 assignments ÷ 20 minutes = 1.25 assignments per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide the first number by the second number to express it as a quantity of one.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the average speed of a cyclist who travels 90 miles in 3 hours?

Back

The average speed is calculated as: Speed = Distance ÷ Time = 90 miles ÷ 3 hours = 30 mph.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2