Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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Homework:Lesson 7 Problem Set Page 35 #3, 4, 5

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Aim: Unit Rate as the Constant of Proportionality

Module 1, Lesson 8

Do NowLesson 7 Problem Set #1

Page 29

Exam Thursday 12/22/16

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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TableProblem

Graph Proportional or Not?         Explain.

Years Total Money

Years

Mon

ey

title

1 yr, $3123 yr, $3406 yr, $3809 yr, $43012 yr, $480

Lesson 7 Problem Set #1

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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December 14, 2016

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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December 14, 2016

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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Previous Lesson

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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December 14, 2016

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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December 14, 2016

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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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?

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Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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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

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Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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Constant of Proportionality:

 Meaning of Constant of Proportionality in this problem: 

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Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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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?

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Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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Discussion How are the constant of proportionality 

and the unit rate alike? 

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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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

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Problem Set S.27

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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Closing: How are the Unit Rate and the Constant of Proportionality Alike?

Module 1 Lesson 8 Unit Rate as Constant of Proportionality.notebook

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