Unit Rates and Proportions

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 you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What mathematical operation does finding a unit rate involve?

Back

Division.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If you travel 150 miles on 5 gallons, how do you find the distance traveled per gallon?

Back

Divide the total miles (150) by the total gallons (5) to get 30 miles per gallon.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the cost per item when given the total cost and quantity?

Back

Divide the total cost by the number of items. For example, if 5 ice cream bars cost $12.25, then $12.25 ÷ 5 = $2.45 per ice cream bar.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate for rainfall if it rains 4 cm in 2 hours?

Back

The unit rate is 2 cm per hour (4 cm ÷ 2 hours).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

If Craig earns $37 for 4 hours, what is his hourly wage?

Back

To find the hourly wage, divide the total earnings ($37) by the total hours (4), which equals $9.25 per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a ratio as a unit rate?

Back

To express a ratio as a unit rate, divide both terms of the ratio by the second term. For example, the ratio 3:4 can be expressed as 0.75:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 240 miles in 3 hours, what is the speed in miles per hour?

Back

The speed is 80 miles per hour (240 miles ÷ 3 hours).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2