Identify Proportional Relationships by Examining the Origin

This lesson explains how to identify proportional relationships by exploring the concept of the origin. It covers the definition of proportions, the coordinate plane, and examples using Amy's and Al's dog walking businesses. Amy's business is used to illustrate a proportional relationship, while Al's business demonstrates a non-proportional relationship due to the additional fee. The lesson emphasizes that proportional relationships must be linear and pass through the origin, addressing common misunderstandings.

Describe how Al's dog walking business differs from Amy's in terms of proportionality.

What common misunderstanding do students have regarding proportional relationships?

Why is it important for a graph to pass through the origin to be considered proportional?