This document contains notes from a mathematics lesson on identifying proportional and non-proportional relationships in tables. It includes examples of proportional and non-proportional relationships to check as homework. The lesson activity involves creating tables to compare the distances traveled by two running teams - one that runs at a constant rate and one that runs at different rates over time. Students are asked questions to analyze which team's distance is proportional to time, which team would win races of different lengths, and how proportional relationships can help solve problems.

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Homework:
Lesson 4 Problem Set
and CRS + J #1
Module 1, Lesson 4
Sept. 16th
Aim: Identifying Proportional and
Non-proportional relationships in Tables
DO NOW: Check HW Answers
1.) Yes, Proportional
2.) Not Proportional
3.) Yes Proportional
4.) Yes Proportional
QUIZ 1
FRIDAY
5.) Yes Proportional
6.) Yes Proportional
7.) Not Proportional
8.) Not Proportional
9.) Answers will vary

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Problem Set 3 Solutions

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Problem Set 3 Solutions

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Problem Set 3 Solutions

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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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Closing
How does knowing two quantities are
proportional help answer questions
about the quantities? For example,
if we know 1 cup = 8 oz, what does
that allow us to do?

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EXIT TICKET
The table below shows the relationship between the
side lengths of a regular octagon and its perimeter.
Complete the table.
If Gabby wants to make an octagon with a side length of 20 inches
using wire, how much wire does she need? Justify your reasoning
with an explanation of whether perimeter is proportional to the side
length.

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