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Public Transportation and Mathematics:
A class activity involving experimentation,
statistics, and network optimization
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Site Contact Information:
Mr. Ron Hamlin
UGA
Campus Transit System
(706) 369 6220
Field Trip:
Necessary arrangements included
- Choosing a day when all buses were on route
- Choosing a time when all buses were on route
- Choosing a place where the majority of buses
make stops
- Arranging for a guest speaker
- Reserving a room for the guest speaker
- Creating an experimentation sheet
- Obtaining stopwatches
The class was divided into as many as six groups,
one group for each of the bus routes that stop at either the Tate Center
or Memorial Hall. Each group was given a worksheet, a stopwatch, and assigned
a specific route. The worksheet instructed the group as to how many buses
were on that route and how far apart the buses should be.
The group then needed to wait for the first bus on
their route to come to their stop. When the bus arrived, a member of the
group needed to ask the driver of that first bus for their mileage. After
the bus pulled away from the stop, the timer on the stopwatch was started.
When the next bus came to the stop, the time interval was written on the
worksheet and the timer was to be started over until the next bus came
to the stop.
This would continue until the first bus came back
to the stop, thus completing a full round. A member of the group then
needed to ask the driver of that first bus again their mileage.
Depending on time allowed, groups could then switch
and time another route. If there is not enough time, students can trade
information later so everyone has a completed worksheet.
The next page is a homework or next day assignment.
It asks students to thinking not only mathematically, but also logically.
Students can either be asked to complete the entire worksheet or just
the parts that related to their specific experiments.
The purpose of this lesson is to tie in mathematics
to the experiment and lecture that took place the previous day. This assignment
also gets students prepared to start learning about the upcoming lessons.
Lesson 1 ~ Assignment based on Experiment:
Deals with basic mathematical and logical thinking
skills
- If there are three buses on the Russell Hall
route and they run seven minutes apart, how long does it take one bus
to make one round?
- If one of the Russell Hall buses runs from
7:00 a.m. until 6:12 p.m., how many rounds has it made during the course
of the day?
- If the Russell Hall route is 2.25 miles,
that is one round is 2.25 miles, how many miles does the bus in question
two go in a day?
- If this bus runs five days a week, for thirty weeks
(the length of a school year), approximately how many miles would it
go during that year?
- Complete questions 1 through 4 using the data from
your experiment. How do your answers compare?
- If there are four buses on the East West
route and they run seven minutes apart, how long does it take one bus
to make one round?
- If one of the East West buses runs
from 7:00 a.m. until 6:12 p.m., how many rounds has it made during the
course of the day?
- If the East West route is 3.5 miles,
how many miles does the bus in question five go in a day?
- If this bus runs five days a week, for thirty weeks
(the length of a school year), approximately how many miles would it
go during that year?
- Complete questions 6 through 9 using the data from
your experiment. How do your answers compare?
- If there are three buses on the Family Housing
route and they run fifteen minutes apart, how long does it take one
bus to make one round?
- If one of the Family Housing buses runs
from 7:00 a.m. until 6:15 p.m., how many rounds has it made during the
course of the day?
- If the Family Housing route is 4.9 miles,
how many miles does the bus in question eight go in a day?
- If this bus runs five days a week, for thirty weeks
(the length of a school year), approximately how many miles would it
go during that year?
- Complete questions 11 through 14 using the data
from your experiment. How do your answers compare?
- If there are seven buses on the Orbit route
and they run five minutes apart, how long does it take one bus to make
one round?
- If one of the Orbit buses runs from 7:00
a.m. until 6:05 p.m., how many rounds has it made during the course
of the day?
- If the Orbit route is 4.2 miles, how many
miles does the bus in question eleven go in a day?
- If this bus runs five days a week, for thirty weeks
(the length of a school year), approximately how many miles would it
go during that year?
- Complete questions 16 through 19 using the data
from your experiment. How do your answers compare?
- If there are five buses on the North
South route and they run five minutes apart, how long does it take
one bus to make one round?
- If one of the North South buses runs
from 7:00 a.m. until 6:15 p.m., how many rounds has it made during the
course of the day?
- If the North South route is 2.9 miles,
how many miles does the bus in question fourteen go in a day?
- If this bus runs five days a week, for thirty weeks
(the length of a school year), approximately how many miles would it
go during that year?
- Complete questions 21 through 24 using the data
from your experiment. How do your answers compare?
- If there are four buses on the Milledge Avenue
route and they run six minutes apart, how long does it take one bus
to make one round?
- If one of the Milledge Avenue buses runs
from 7:00 a.m. until 6:12 p.m., how many rounds has it made during the
course of the day?
- If the Milledge Avenue route is 3.7 miles,
how many miles does the bus in question seventeen go in a day?
- If this bus runs five days a week, for thirty weeks
(the length of a school year), approximately how many miles would it
go during that year?
- Complete questions 26 through 29 using the data
from your experiment. How do your answers compare?
- What are some factors that would cause a bus to
arrive early or late to a bus stop?
- Campus Transit has asked for suggestions for a
new route. Using the information from the guest speaker and a campus
map, be creative and invent a new route. Explain why your route has
been constructed this way.
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