Proportional vs NonProportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases or decreases, the other does so in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning the relationship does not maintain a consistent rate of change.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a non-proportional relationship in a table?

Back

A table represents a non-proportional relationship if the ratios of corresponding values are not equal.

Tags

CCSS.7.RP.A.2D

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear relationship, where if b is not zero, it is non-proportional.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Tags

CCSS.7.RP.A.2B

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph represents a non-proportional relationship?

Back

A graph represents a non-proportional relationship if it is a straight line that does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A