This document contains notes from a math lesson on identifying proportional and non-proportional relationships in graphs. It includes homework assignments to complete problems sets and exit tickets. The lesson discusses representing proportional quantities with a line graph passing through the origin, and a common student mistake of thinking relationships are proportional if points just lie on a line instead of passing through the origin. It emphasizes that for proportional relationships, the graph points must lie on a straight line that goes through the origin.

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Module 1, Lesson 5 09/11/14
Identifying Proportional and
Non-Proportional Relationships in Graphs
Homework:
Lesson 5 Problem Set
#1 and 3
Do Now
Exit Ticket for Lesson 4

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Lesson 4 Exit Ticket Review

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Fill in the table below so that y is
proportional to x.

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Plot ordered pairs for all the values of
the Opening Exercise.

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Compare Example 1 and Example 3

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Closing Questions
1. How are proportional quantities represented in a
graph?
They are represented in a graph where the points lie on a straight
line that passes through the origin.
2. What is a common mistake a student might make
when deciding whether a graph of two quantities
shows that they are proportional to each other?
Both graphs can have points that lie on a straight line, but the graph
of the quantities that are proportional to each other also goes through
the origin. In addition the graph could go through the origin, but the
points do not lie on a straight line.

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Important Note:
Characteristics of graphs of proportional relationships:
1. Points lie in a straight line.
2. Line goes through the origin.