MATH FIELD DAY
SCHEDULE OF EVENTS
2005

TEAM EVENTS                                                             TOPICS

Algebra I                                              Same topics as on the 10th Grade Algebra I test.

Algebra II                                            Same topics as on the 11th Grade Algebra II test plus questions on absolute value, arithmetic and geometric sequences, logarithmic and exponential functions, and word problems.

Geometry                                             Same topics as on the 10th Grade Geometry test.  Questions based on a sophomore plane geometry course.

Trigonometry                                        Same topics as on the Open Trigonometry      
                                                            test.

Medley                                                Algebra I.  Algebra II.  Geometry. Senior level mathematics.

9th GRADE EVENTS                                                        TOPICS

Word Problems                                    Problems that can be solved by a linear equation or a linear inequality.  Types found in most traditional Algebra I books.

Number Bases                                     Computations in bases other than 10. Change from one base to another.

10th GRADE EVENTS                                                        TOPICS

Algebra I                                             Algebraic simplification. Radicals. Positive and Negative Exponents. Factoring. Linear and quadratic equations. Linear inequalities. Word problems.

Geometry                                             Problems with numerical answers involving similar and congruent figures. Length, area and volume. Angles in circles. Pythagorean Theorem. 

11th GRADE EVENTS                                                        TOPICS

Algebra II                                            Systems of equations.  Linear and quadratic equations and inequalities.  Absolute value.  Functions and their graphs. Real and complex zeros of a polynomial.  Operations on polynomials.  Rational exponents.  Binomial theorem.

Word Problems                                   Problems that can be solved by a linear equation  (inequality), quadratic equation (inequality), or by a system of equations.

Exponential and Log Functions             Logarithmic and exponential functions. Graphs.  Using logarithms to solve exponential equations. Logarithms used in computation.

12th GRADE EVENTS                                                        TOPICS

Matrices and Determinants                    Properties of matrices and determinants.  Computation and applications.

Analytic Geometry                                Conic sections, foci, and vertices. Graphs, intercepts, symmetry, asymptotes, translation of axes.  Coordinate geometry.

Calculus                                               Limits, derivatives, and integrals of polynomial, rational, radical, trigonometric, exponential, and logarithmic functions with applications to graphing, optimization, areas in the plane, and solids of revolution.

OPEN EVENTS                                                  TOPICS

Sets and Logic                                      Basic operations with sets-unions, intersection, complement.  Venn diagrams.  Number of elements in a finite set.  Truth value of conjunction, disjunction and conditional statement forms.  Truth tables for compound sentences.  Equivalence.

Number Theory                                   Number types and number patterns. Prime numbers and the Fundamental Theorem of Arithmetic. Greatest common divisor and least common multiple. Euclidean algorithm.

Probability                                            Combinations and permutations. Probability of complements, union, and intersection of events.  Independent events.  Mutually exclusive events.  Conditional probability. Expected value.

Hand Calculators                                  Problems employing basic operations of arithmetic. Consumer arithmetic.  Measurement problems.

Non-routine Problem Solving  Level I   Interesting problems requiring ingenuity rather than high mathematical skills to solve.  Arithmetic, basic algebra, knowledge of intuitive geometry, and number sense are used.

                                              Level II  Intriguing problems requiring ingenuity, logic, number theory, basic algebra, geometrical relations to solve rather than depending on highly developed technical skill in a branch of mathematics.

Algebra                                                Linear and quadratic equations.  Systems of equations.  Algebraic simplification.  Exponents and radicals. Functions and their graphs.  Word problems.  Absolute value.  Inequalities. Rational roots of a polynomial.  Remainder theorem.  Factorials.  Binomial theorem. Complex numbers.

Geometry                                             Questions based on plane and solid geometry.

Trigonometry                                       Trigonometric and inverse trigonometric functions.  Values of trigonometric functions. Graphs.  Solution of triangles.  Trigonometric equations.  Identities. De Moivre's Theorem.

Mental arithmetic                                  Problems employing basic operations of arithmetic will be presented by use of flash cards.  The only writing done by students will be to write answers.

Computational Mathematics                  Percentage.  Addition, multiplication, and division of fractions. Operation involving complex fractions.  Square roots and decimal numbers.

History of Mathematics                        Notable happenings in the history of mathematics: major developments, significant dates, places, famous mathematicians.  Write a short summary concerning an event or person.

Elementary Data Analysis                      Measures of central tendency, variability 
                                                            and correlation, data transformations, best-line
                                                            fit, graphical summaries.

DEPARTMENT PROBLEM SOLVING EVENT:

A set of problems that require some ingenuity for their solution will be given to each school by 10 a.m.  Five copies of the test and one answer sheet will be given to each school that wishes to participate.  Students from each school may work together and submit one set of answers to the Department of Mathematics, Johnson Hall, Room 201, before 12:30 p.m.

MATHLETICS EVENT

1. Each school's team will consist of four students currently enrolled in math classes.  One student must be enrolled in Algebra I and one student must be enrolled in Geometry or Algebra II.

2. All types of calculators will be allowed.

3. Pencils will not be provided.

4. Scratch paper will be provided.

5. Each team will be seated at a separate table and will be allowed to work together on each problem.

6. Problems will be posed one at a time, allowing different time limitations and different point values depending upon the difficulty of the problem.

7. The time for each problem will vary from 15 seconds to 2 minutes.

8. A packet of the problems will be placed on each table.  Each team is only allowed to work on the current problem.

9. Teams suspected of any form of cheating will be disqualified.

10. Decisions made by judges will be final.

11. When time is called, one person from each team will hold up the team's answer.  The correct answer will be given.  Judges will verify correct answers and points will be awarded.

12. No partial points will be awarded.

13. Answers will be considered correct only if given in required format.

14. Cumulative totals of team scores will be displayed on the overhead.

15. Tiebreaker problems will be given until there is exactly one 1st place, one 2nd place, and one 3rd place team.

16. Awards for first, second, and third place teams will be given.

17. Substitutions are allowed only at registration at Math Field Day.

Department of Mathematics
Southeast Missouri State University