Understanding Proportional Relationships

Understanding Proportional Relationships

What is a Proportional Relationship?

• A group of equivalent ratios

What is a Constant of Proportionality?

• In a proportional relationship, it's the Unit Rate

• Unit Rate & C.O.P. are the same thing.

Multiple Choice

Does this table show a proportional relationship?

• Yes

• No

Open Ended

What is the Constant of Proportionality (Unit Rate) of water used to time in this table?

Answer

• The Constant of Proportionality is 5 or 5/1

Multiple Choice

Is this table proportional or non-proportional?

• Proportional

• Non-Proportional

Answer

• This is a non-proportional table because the ratios are not equivalent.

How to identify a proportional relationship from a graph

• The graph will be a straight line AND go through the origin (0,0) if it's Proportional.

• The graph may or may not be a straight line, but will NOT go through origin if it's non-Proportional.

Multiple Choice

Is this graph proportional or non-proportional?

• Proportional

• Non-Proportional

Answer

• It was a straight line but it didn't go through the origin.

Multiple Choice

Is this graph proportional or non-proportional?

• Proportional

• Non-Proportional

Answer

• This graph was proportional because it was a straight line that went through the origin.

Open Ended

Reflect: looking at this proportional graph, how much would it cost for 5 tickets?

Answer

• It was cost $40 for 5 tickets