Unit Rate Graphs

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.

Tags

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 quantity by the number of units. For example, if you have 10 apples for $5, the unit rate is $5/10 apples = $0.50 per apple.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a graph of a unit rate look like?

Back

A graph of a unit rate is a straight line that starts at the origin (0,0) and has a constant slope, representing the ratio of the two quantities.

Tags

CCSS.8.EE.B.5

Front

If a car travels 150 miles in 3 hours, what is the unit rate of speed?

Back

The unit rate of speed is 150 miles / 3 hours = 50 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate if 4 oranges cost $2?

Back

The unit rate is $2 / 4 oranges = $0.50 per orange.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you represent a unit rate on a graph?

Back

You can represent a unit rate on a graph by plotting the total quantity against the total cost, and the slope of the line will represent the unit rate.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a unit rate graph?

Back

The slope of a unit rate graph indicates the unit rate; a steeper slope means a higher unit rate.

Tags

CCSS.8.EE.B.5

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the unit rate of flour per cookie?

Back

The unit rate is 3 cups / 12 cookies = 0.25 cups of flour per cookie.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate if a person earns $120 for 8 hours of work?

Back

The unit rate is $120 / 8 hours = $15 per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you identify equivalent unit rates from different graphs?

Back

You can identify equivalent unit rates by comparing the slopes of the lines in the graphs; if the slopes are the same, the unit rates are equivalent.

Tags

CCSS.7.RP.A.2C