Proportional Relationships in Tables

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 is constant.

Tags

CCSS.7.RP.A.2A

Front

How can you identify a proportional relationship in a table?

Back

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

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, it means that the ratios of the values are not constant.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Tags

CCSS.7.RP.A.2B

Front

If a table shows values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratio of y to x is constant (2:1).

Tags

CCSS.7.RP.A.2A

Front

What is the graph of a proportional relationship like?

Back

The 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 an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a table showing values like (1, 2), (2, 4), (3, 7), where the ratios are not constant.

Tags

CCSS.7.RP.A.2A

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a proportional relationship, where the change in one quantity is consistent with the change in another.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if a graph is proportional?

Back

To determine if a graph is proportional, check if it is a straight line that goes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Tags

CCSS.7.RP.A.2D