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Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
1
December 14, 2016
Homework:
Lesson 7 Problem Set
Page 35 #3, 4, 5
12/14/16
Aim: Unit Rate as the
Constant of Proportionality
Module 1, Lesson 8
Do Now
Lesson 7 Problem Set #1
Page 29
Exam Thursday 12/22/16
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
2
December 14, 2016
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
Lesson 7 Problem Set #1
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
3
December 14, 2016
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
4
December 14, 2016
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
5
December 14, 2016
Previous Lesson
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
6
December 14, 2016
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
7
December 14, 2016
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
8
December 14, 2016
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?
31
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
9
December 14, 2016
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
31
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
10
December 14, 2016
Constant of Proportionality:
 
Meaning of Constant of Proportionality in this problem: 
31
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
11
December 14, 2016
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?
32
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
12
December 14, 2016
32
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
13
December 14, 2016
Discussion 
How are the constant of proportionality 
and the unit rate alike? 
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
14
December 14, 2016
33
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
15
December 14, 2016
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: S.25
Sheets Cookies y/x = k 
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
16
December 14, 2016
Problem Set S.27
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
17
December 14, 2016
Closing: How are the Unit Rate and the Constant of
Proportionality Alike?
Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook
18
December 14, 2016

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