ARKANSAS SCHOOL FOR MATHEMATICS, SCIENCES AND THE ARTS
Fall & Spring 2008-2009 MATH MODELING Instructor: Bruce Turkal…….classroom 2407……..ext 5496 Office 2525
Class Meeting Time: 6 period Prerequisites: Texts: Precalculus none required
Students will build confidence in modeling functions from linear to trigonometric. They will use mathematical skills thru precalculus to find solutions for various problems in which the solution may not be unique. Estimation and approximation techniques will be critical in many problems. Students are traditionally taught mathematics by being shown examples and asking them to reproduce what they have been taught. Real application of mathematics occurs when one is confronted with an unfamiliar problem and the student is required to create his own roadmap on the way to a solution. Many times they have hard decisions to make in order to find the proper direction. Teaching techniques in the math modeling class will be used that promote independent creative thought. Learning to simplify complex problems through assumption and estimation play a pivotal role. The COMAP High School Math Modeling competition is a required activity for the class. Discussion, preparation, and participation in the contest in integral to the course. The course will cover the following areas: I. Building Confidence with Estimations & Approximations. a. Volume estimates b. Lake Construction Activity c. Scud Missile Deployment Use Numerical Techniques to find Approximate Solutions. a. Develop sum(seq( technique b. Baseball Park Fencing Problem c. Bridge Expansion
Build Functions to Represent Models a. Piping problem b. Kite c. Big Ben Clock d. Paper Roll e. Sprinkler Design f. Jeep in the Desert g. Car Rebate h. Cuba Fireworks i. Sonic Blast j. String Around Earth Internet Activites a. Great Circle Routes b. GPS c. Coriolis Effect Comap Practice Problems Discrete Topics a. Venn Diagrams b. Vertex Coloring c. Game Theory
Course Format: The daily classroom format is student driven activities. Problems are presented to the students and they work in groups finding solutions. They frequently are working at the blackboards showing their completed work. See ASMSA Student Handbook for attendance, late work, makeup work policies and Inclement Weather Policy. Grading/Evaluation: Major tests will count 100 points each with usually one per grading period. Class participation is the major basis for grading in the class. Weekly 100 points are assessed for each student on the basis of how they worked in class and with their groups. Most work is done in class with only limited outside work. Those not understanding the in class activities may be required to do outside work.