1. Board of Education Study Session
Operations Research
Board of Education Study Session
September 17, 2013
Kris Karbon
Carol Machak

2. Tonight we will address the following questions…
What are the goals of the Operations Research class?
How does Operations Research fit into the Troy School District’s mathematics curriculum?
What kind of problems are students working on in the course?

3. Goals of Project Mindset:
Improve upon the math students' abilities to formulate and solve multi-step problems and interpret results
Improve students' attitudes toward mathematics
MINDSET uses decision making tools from Industrial and Systems Engineering and Operations Research in a fourth-year high school mathematics curriculum.

4. Common Core Pathway

5. History of Operations Research in Troy
Precalculus teachers were asked to pilot a Project Mindset unit and received professional development from Wayne State instructors.
Teachers from Athens expressed interest in offering the full course as a fourth-year elective.
Athens HS had 2 sections of Operations Research
Athens HS has 4 sections of Operations Research

6. Which Sport Should Lauren Mitchell Play?

7. Criteria and Measures Cost Commitment Enjoyment Safety
Cost Per Session
Equipment/Uniform Cost
Commitment
Hours per week for practice/games
Number of Games
Enjoyment
Group or Individual
Lifelong Sport
Enthusiasm to Play
Safety
Potential for Injury
Long Term Negative Effects

8. How Was it Measured? Categorical Measure How Was it Measured?
Continuous Measures
Participation Cost
Equipment Cost
Hours for Practice
Number of Games
Enthusiasm
Potential for Injury
How Was it Measured?
The total cost per session. Proportional $25 - $500
Cost of any additional equipment/uniform. Proportional $25 - $200
Number of hours required each week.
Proportional 2 to 10
Total number of games/recitals each session. Proportional 1 to 12
A ranking given by Lauren. Proportional 1 to 10
Injuries per 1000 participants. Proportional 1 to 20
Categorical Measure
Group or Individual
Lifelong Sport
Long-term Negative Effects
How Was it Measured?
Group – 1, Individual – 0
Yes – 1, No – 0
High – .3, Moderate – .6, Low – .9

9. Sport Participation Cost (per session) Equipment Cost
Hours per week for practice
Number of games per season
Group or Individual
Enthusiasm
Lifelong Sport
Potential for Injury
Long Term Negative Effects
Soccer
$75.00
$60.00 3 10
Group 6 No
16.4
Moderate
Dance
$150.00
$120.00 2 9
17.5
High
Gymnastics
$380.00
$25.00
3.5
Individual
15.2
Swimming
$250.00
$40.00 4
Yes
6.5
Low
Tennis
$35.00 8 7
9.8
Basketball
$30.00
7.7
Golf
$180.00 5
1.4

10. Sport
Participation Cost (per session)
Equipment Cost
Hours per week for practice
Number of games per season
Group or Individual
Enthusiasm
Lifelong Sport
Potential for Injury
Long Term Negative Effects
Soccer
0.89
0.80
0.75
0.82 1
0.56
0.18
0.6
Dance
0.74
0.46
0.09
0.13
0.3
Gymnastics
0.25
1.00
0.625
0.45
0.24
Swimming
0.53
0.91
0.5
0.11
0.68
0.9
Tennis
0.94
0.64
0.67
0.51
Basketball
0.97
0.55
0.22
0.62
Golf
0.29
0.27
0.44
0.93

11. Participation Cost (per session)
Equipment Cost
Hours per week for practice
Number of games per season
Group or Individual
Enthusiasm
Lifelong Sport
Potential for Injury
Long Term Negative Effects
Rank 2 3 5 7 6 1 9 4 8
Points 70 60 45 25 35
100 10 50 15
Weight
0.171
0.146
0.110
0.061
0.085
0.244
0.024
0.122
0.037

12. Sport
Participation Cost (per session)
Equipment Cost
Hours per week for practice
Number of games per season
Group or Individual
Enthusiasm
Lifelong Sport
Potential for Injury
Long Term Negative Effects
Soccer
0.153
0.117
0.082
0.050
0.085
0.136
0.000
0.022
Dance
0.126
0.067
0.110
0.006
0.217
0.015
0.011
Gymnastics
0.043
0.146
0.069
0.028
0.244
0.029
Swimming
0.090
0.134
0.055
0.027
0.024
0.033
Tennis
0.138
0.039
0.163
0.062
Basketball
0.137
0.142
0.054
0.075
Golf
0.115
0.042
0.017
0.108
0.113

13. The World’s #1 Sport!!! And The Winner Is… Sport Final Score Soccer
0.667
Dance
0.636
Gymnastics
0.570
Swimming
0.558
Tennis
0.620
Basketball
0.631
Golf
0.562
The World’s #1 Sport!!!

14. Operations Research changes the way students think about the world around them.
Goals of Project Mindset = Goals of Operations Research:
Improve upon the math students' abilities to formulate and solve multi-step problems and interpret results
Improve students' attitudes toward mathematics