Proportional Relationships in Tables and Graphs

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

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are the same.

Tags

CCSS.7.RP.A.2A

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often expressed as 'k'.

Tags

CCSS.7.RP.A.2B

Front

If a table shows values of x and y, how do you find the constant of proportionality?

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values.

Tags

CCSS.7.RP.A.2B

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).

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is non-proportional?

Back

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

Tags

CCSS.7.RP.A.2D

Front

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

Back

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

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table shows a non-proportional relationship?

Back

If a table shows a non-proportional relationship, the ratios of corresponding values are not constant.

Tags

CCSS.6.RP.A.3A

Front

How do you determine if two quantities are proportional using a graph?

Back

Two quantities are proportional if the graph is a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D