This document contains notes from a mathematics lesson on identifying proportional and non-proportional relationships in tables. It includes examples and problems for students to work through involving proportional relationships between time and distance or pay and hours worked. The homework assigned is to complete problem sets from lessons 3 and 4 as well as a cumulative review sheet, which are due the next day.

1. Module 7.1 Lessons 3­4.notebook
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Module 1 Lessons 3 and 4
Identifying Proportional and
Non Proportional Relationships
In Tables
9/8/15
Homework:
1.) Lesson 3 Problem Set #1-5, 8
2.) Lesson 4 Problem Set #1-2
3.) Cumulative Review Sheet #1
due tomorrow
Do Now
Exit Ticket from Lesson 2

2. Module 7.1 Lessons 3­4.notebook
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If the hours change, does that mean the pay
MUST change?
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How did you determine the pay for hours?
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Describe the relationship between the amount
of money earned and the number of hours
worked in this example.
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Describe the relationship between the amount
of money earned and the number of hours
worked in this example.
The two quantities are in a proportional
relationship since time can be multiplied by the
same number to get the amount of pay.
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How can multiplication and division be used to
show the earnings are proportional to the number
of hours worked?
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How can multiplication and division be used to
show the earnings are proportional to the number
of hours worked?
Every measure of time (hours) can be multiplied
by the constant 8 to get each measure of pay.
Each measure of y (pay) can be divided by 8 to get
the corresponding x (hours).
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Yes, pay is proportional to hours because when hours are multiplied by 8, it
gives the corresponding pay amount.
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Get into pairs and complete Examples 1 ­ 4
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Complete the following class work independently.
Which Team Will Win The Race??
• You have decided to run in a long distance race.
There are two teams that you can join.
• Team A runs at a constant rate of 2.5 miles per hour.
• Team B runs 4 miles the first hour and then 2 miles per hour
after that.
Task: Create a table for each team showing the distances that
would be run for times of 1, 2, 3, 4, ,5 and 6 hours.
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a. For which team is distance proportional to time? Explain
your reasoning.
b. Explain how you know distance for the other team is not
proportional to time.
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c. If the race were 2.5 miles long, which team would win?
Explain.
If the race were 3.5 miles long, which team would win?
Explain.
If the race were 4.5 miles long, which team would win?
Explain.
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d. For what length race would it be better to be on Team
B than Team A? Explain
e. Using this relationship, if the members on the team
ran for 10 hours, how far would each member run on each
team?
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f. Will there always be a winning team, no matter what
the length of the course? Why or why not?
g. If the race is 12 miles long, which team should you
choose to be on if you wish to win? Why would you
choose this team?
h. How much sooner would you finish on that team
compared to the other team?
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Closure
How can you use a table to determine
whether the relationship between two
quantities is proportional?
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