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

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?

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.

Common Core Pathway

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. 2012-13 Athens HS had 2 sections of Operations Research 2013-14 Athens HS has 4 sections of Operations Research

Which Sport Should Lauren Mitchell Play?

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

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

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

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

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

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

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!!!

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