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Module 7.1 Lesson 5 and 6.notebook
1
September 09, 2015
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
Module 7.1 Lesson 5 and 6.notebook
2
September 09, 2015
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.
Module 7.1 Lesson 5 and 6.notebook
3
September 09, 2015
Problem Set 3 Solutions S.11
Module 7.1 Lesson 5 and 6.notebook
4
September 09, 2015
Problem Set 3 Solutions S.11
Module 7.1 Lesson 5 and 6.notebook
5
September 09, 2015
Lesson 4 HW answers
S.15
Module 7.1 Lesson 5 and 6.notebook
6
September 09, 2015
S.16
Module 7.1 Lesson 5 and 6.notebook
7
September 09, 2015
x
y
Fill in the table below so that y is
proportional to x.
S.16
Module 7.1 Lesson 5 and 6.notebook
8
September 09, 2015
Important Note:
Characteristics of graphs of proportional relationships:
1. Points lie in a straight line.
2. Line goes through the origin.
S.17
Module 7.1 Lesson 5 and 6.notebook
9
September 09, 2015
x
y
S.17
Module 7.1 Lesson 5 and 6.notebook
10
September 09, 2015
x
y
S.17
Module 7.1 Lesson 5 and 6.notebook
11
September 09, 2015
Compare Example 1 and Example 3
x
y
x
y S.17
Module 7.1 Lesson 5 and 6.notebook
12
September 09, 2015
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.
Module 7.1 Lesson 5 and 6.notebook
13
September 09, 2015
Get into groups of 4
Module 7.1 Lesson 5 and 6.notebook
14
September 09, 2015
Module 7.1 Lesson 5 and 6.notebook
15
September 09, 2015
Module 7.1 Lesson 5 and 6.notebook
16
September 09, 2015
Each group should have:
* Poster Paper
* Markers
* Ruler
* Calculator
* 5 Ratios
Module 7.1 Lesson 5 and 6.notebook
17
September 09, 2015
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
Module 7.1 Lesson 5 and 6.notebook
18
September 09, 2015
Time:  15 minutes
Task:  Discuss the problem and record answers 
           on the poster paper.
Module 7.1 Lesson 5 and 6.notebook
19
September 09, 2015
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.
Module 7.1 Lesson 5 and 6.notebook
20
September 09, 2015
Module 7.1 Lesson 5 and 6.notebook
21
September 09, 2015
Module 7.1 Lesson 5 and 6.notebook
22
September 09, 2015
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?
Module 7.1 Lesson 5 and 6.notebook
23
September 09, 2015
What does it mean for a display to be both 
visually appealing and informative?
Closing
Module 7.1 Lesson 5 and 6.notebook
24
September 09, 2015
Module 7.1 Lesson 5 and 6.notebook
25
September 09, 2015
Module 7.1 Lesson 5 and 6.notebook
26
September 09, 2015
Module 7.1 Lesson 5 and 6.notebook
27
September 09, 2015
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
Module 7.1 Lesson 5 and 6.notebook
28
September 09, 2015

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Module 7.1 lesson 5 and 6