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Module 7.1 Lessons 6 and 7.notebook
1
September 10, 2015
Module 7.1 Lessons 6 and 7
Identifying Proportional and
Non-Proportional Relationships
In Graphs
9/10/15
Homework:
1.) Lesson 6 Problem
Set #1
2.) Lesson 7 Problem
Set #2-4
Do Now
Exit Ticket from Lesson 5
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Exit Ticket
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
S.18
Module 7.1 Lessons 6 and 7.notebook
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S.19
2.) Not proportional
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
S.19
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Get into groups of 4
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Each group should have:
* Poster Paper
* Markers
* Graph Paper
* 5 Ratios
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Poster Paper
Fold the poster paper into four sections and label 
each section.
TableProblem
Graph Proportional or Not?
         Explain.
label label
label
label
title
Group #
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Time:  15 minutes
Task:  Discuss the problem and fill in the sections 
of the poster paper.
Module 7.1 Lessons 6 and 7.notebook
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September 10, 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 Lessons 6 and 7.notebook
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September 10, 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 Lessons 6 and 7.notebook
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September 10, 2015
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
What does it mean for a display to be both 
visually appealing and informative?
Closing
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
If someone from another school walked through 
our gallery, would they be able to learn about 
ratio and proportion from our posters?
Closing
Module 7.1 Lessons 6 and 7.notebook
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Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Lesson 6
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Example 1:
National Forest Deer Population in Danger?
Wildlife conservationists are concerned that the deer
population might not be constant across the National
Forest. The scientists found that there were 144 deer
in a 16 square mile area of the forest. In another part
of the forest, conservationists counted 117 deer in a
13 square mile area. Yet a third conservationist
counted 216 deer in a 24 square miles plot of the
forest. Do conservationists need to be worried?
S.23
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
a. Why does it matter if the deer population is not
constant in a certain area of the national forest?
b. What is the population density of deer per square
mile?
Table:
The Unit Rate of deer per 1 square mile is _______.
Square Miles Deer
S.23
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Constant of Proportionality:
 
Meaning of Constant of Proportionality in this problem: 
S.23
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
c. Use the unit rate of deer per square mile to determine
how many deer are there for every 207 square miles.
d. Use the unit rate to determine the number of square
miles in which you would find 486 deer?
S.24
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
S.24
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Discussion 
How are the constant of proportionality 
and the unit rate alike? 
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
S.25
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
a. Is the number of cookies proportional to the number
of sheets used in baking? Create a table that shows
data for the number of sheets needed for the total
number of cookies needed.
Table:
The Unit Rate is __________.
Constant of Proportionality:
Meaning of Constant of Proportionality in this problem:
b. It took 2 hours to bake 8 sheets of cookies. If Brandon and his
mother begin baking at 4:00 pm, when will they finish baking the
cookies?
Example 2:
Sheets Cookies
S.25
Module 7.1 Lessons 6 and 7.notebook
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September 10, 2015
Problem Set S.27
Module 7.1 Lessons 6 and 7.notebook
30
September 10, 2015
• What is another name for the constant that relates the 
measures of two quantities? 
• How is the Constant of Proportionality related to the unit 
rate? 
Module 7.1 Lessons 6 and 7.notebook
31
September 10, 2015

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Module 7.1 lessons 6 and 7