Unit Rates from Ordered Pairs, Tables and Graphs

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 single unit. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains constant. This can be checked by creating a table of values and ensuring that the ratios of corresponding values are equal.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

The constant of proportionality is the unit rate in a proportional relationship. It represents the ratio of one quantity to another when the relationship is proportional.

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CCSS.7.RP.A.2B

Front

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the value of one quantity by the value of the other quantity for any pair of corresponding values.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to calculate unit rate?

Back

The formula to calculate unit rate is: Unit Rate = Total Quantity / Number of Units.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe requires 4 cups of flour for 2 cakes, what is the unit rate of flour per cake?

Back

The unit rate of flour per cake is 2 cups of flour per cake (4 cups ÷ 2 cakes).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

How can you find the unit rate from a graph?

Back

To find the unit rate from a graph, determine the slope of the line, which represents the change in the y-value divided by the change in the x-value (rise/run).

Tags

CCSS.7.RP.A.2D

Front

What is the unit rate of 100 beats in 2 minutes?

Back

The unit rate is 50 beats per minute (100 beats ÷ 2 minutes).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

The unit rate is 60 miles per hour (300 miles ÷ 5 hours).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2