1) The document appears to be notes from a math lesson on identifying proportional and non-proportional relationships in graphs. 2) Students worked in groups to create posters showing ratios and whether the relationships were proportional or not based on their graphs. 3) The class then participated in an "art gallery" where they viewed and provided feedback on each other's posters.

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Identifying Proportional and
Non-Proportional Relationships in Graphs
Homework:
Lesson #5 Problem Set
#1-3
Sept. 9thModule 1, Lesson 5 and Lesson 6
Do Now:
Complete Exit Ticket # 4

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EXIT TICKET
Complete the table.
If Gabby wants to make an octagon with a side length of 20 inches
using wire, how much wire does she need? Justify your reasoning
with an explanation of whether perimeter is proportional to the side
length.
The table below shows the relationship between the
side lengths of a regular octagon and its perimeter.

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Problem Set 3 Solutions S.11

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Problem Set 3 Solutions S.11

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Lesson 4 HW answers
S.15

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S.16

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x
y
Fill in the table below so that y is
proportional to x.
S.16

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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.
S.17

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x
y
S.17

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x
y
S.17

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Compare Example 1 and Example 3
x
y
x
y S.17

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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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Get into groups of 4

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Each group should have:
* Poster Paper
* Markers
* Ruler
* Calculator
* 5 Ratios

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Poster Paper
Label Each section of your poster.
TableProblem
Graph Proportional or Not?
Explain.
label label
label
label
title
At the bottom of the poster write your group #.
S.20

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Time: 15 minutes
Task: Discuss the problem and record answers
on the poster paper.

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Time: 5 minutes
Task: * Hang poster on the wall.
* Look at other group posters.
* Find the group with the same ratio.
* Discuss with your matching ratio group
the differences in your posters.

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Art Gallery
* Circulate around the room to observe posters
* Write your thoughts about each poster on
sticky notes and put them on the posters.
* Answer these questions about each poster on your worksheet:
1) Were there any differences in groups with the same ratios?
2) Did you notice any common mistakes? How might they be
fixed?
3) Was there a group that stood out by representing their
problems and findings exceptionally clearly?

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What does it mean for a display to be both
visually appealing and informative?
Closing

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Homework
TableProblem
Graph Proportional or Not?
Explain.
Years Total Money
Years
Money
title
1 yr, $312
3 yr, $340
6 yr, $380
9 yr, $430
12 yr, $480

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