This document contains notes from a mathematics lesson on unit rate and constant of proportionality. It includes examples and practice problems about deer population density and baking cookies. Homework assigned is problems 2, 3, 4 from Lesson 7 and a CRS + J assignment due the next day. A quiz on Lesson 6 will take place on September 23rd.

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Homework:
Lesson 7 Problem Set
#2, 3, 4
and CRS + J 1 due
tomorrow
Module 1, Lesson 7
Sept. 15th
Aim: Unit Rate as the
Constant of Proportionality
Do Now
Quiz #1 Tuesday 9/23
Lesson 6 Problem Set #1
S.22

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Lesson 6 Problem Set #1
Problem Table
Years Total Money
1 yr, $312
3 yr, $340
6 yr, $380
9 yr, $430
12 yr, $480
Graph Proportional or Not?
Explain.
Years
Money
title

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Previous Exit Ticket

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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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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:
Square Miles Deer
The Unit Rate of deer per 1 square mile is _______.

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Constant of Proportionality:
Meaning of Constant of Proportionality in this problem:

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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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Discussion
How are the constant of proportionality
and the unit rate alike?

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Example 2:
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:
Sheets Cookies
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?

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Problem Set S.27

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· 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?

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