Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Tags

CCSS.7.RP.A.2A

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the cost per item?

Back

To find the cost per item, divide the total cost by the number of items. For example, if 4 boxes of noodles cost $16, the cost per box is $16 ÷ 4 = $4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a straight line, indicating a constant ratio between the two variables.

Tags

CCSS.7.RP.A.2D

Front

Back

The unit rate is 3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equivalent. For example, if the ratio of quantity A to quantity B is the same as the ratio of quantity C to quantity D, then they are proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the cost per liter if 3 liters of juice cost $6?

Back

The cost per liter is $6 ÷ 3 = $2 per liter.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a constant of proportionality?

Back

Tags

CCSS.7.RP.A.2B

Front

If Product #1 costs $10 for 5 pairs of socks, what is the cost per pair?

Back

The cost per pair is $10 ÷ 5 = $2 per pair.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratio between the two quantities changes or if the graph does not pass through the origin.

Tags

CCSS.7.RP.A.2A