Mr Christopher Grattoni Fremd Math Department cgrattoni@d211.org 847-755-2741

## What is Math team?

Math Team is an Academic Competitive Activity here at Fremd.

We compete in five conference meets per year, a regional competition, and the state competition (if we qualify).

Each grade level has five students compete in the individual written competition to earn a maximum of 25 points each.  The top three scores for each grade level are added together to make the overall score for that level (maximum 75 points).

The oralist presents the problems to two judges and is scored on correctness as well as overall presentation.  The maximum score for this competition is 50 points.

Our students prepare for the meets by studying the given topics and materials.  All levels meet once per week on Wednesdays after school. We finish in time for you to take the afternoon activities bus.

If you'd like to learn more or would like to know our meet dates, please check out the NSML webpage or send Mr Grattoni an email.

## Who are the Coaches?

 Christopher Grattoni Head Coach Orals Coach Ankeet Mantra Asst. Coach Freshmen Coach Molly Sagerer Asst. Coach Sophomore Coach Andrew Giegler Asst. Coach Junior Coach Daniel Hays Asst. Coach Senior Coach

## When are the Meets?

ICTM Regional Competition: Saturday, February 23, 2013 (@ Harper)
ICTM State Competition: Saturday, May 4, 2013 (@ University of Illinois)

Meet Topics:

Freshmen

1. Ratios, Proportion and Percent: May include money, interest, discounts, unit conversions, percents of increase decrease and error, and direct variations. It should not require knowledge of advanced algebra. While questions should not be trivial, they should be approachable to most contestants.

2. Counting Basics and Simple Probability: Includes tree type problems, combinations, and permutations, with the emphasis on organized thinking, not using formulas.

3. NO CALCULATOR. Number Bases: including conversion and computation in different bases (bases from 2 to 16); finding the base given some information.

4. NO CALCULATOR. Quadratics: includes domain, ranges, inverse, composition, quadratic formula, graphs of quadratic functions, max and min values, and applications.

Sophomores

1. Coordinate Geometry with Applications: includes distance, midpoint, slope, parallel, perpendicular, equations of lines, simple area and perimeter, and applications (no circles).

2. Geometric Probability: emphasis on the concept of geometric probability rather than on difficult geometry problems. Students are not required to have a comprehensive knowledge of geometry.

3. NO CALCULATOR. Logic, Sets, and Venn Diagrams: Notation, intersection, unions, subsets, empty set, complements, universal set, cardinality of a set, solution sets, and number of subsets. Should include classic type Venn diagram problems involving how many things are in various intersections. Emphasis for logic is on using logic, not formal vocabulary. No truth tables.

4. NO CALCULATOR. Advanced Geometry Topics Restricted to: Brahmagupta’s formula, point to line distance formula, area of a triangle given vertices, Stewart’s Theorem, Ptolemy’s Theorem, Mass points, inradius and circumradius, Ceva’s Theorem, and Theorem of Menelaus. A good reference would be Geometry by Rhoad, Milauskas, and Whipple, Chapter 16.

Juniors

1. Algebraic Coordinate Geometry including Circles: standard material including power theorems, arcs, angles, area, inscribed and circumscribed polygons, sectors and segments, and equations of circles. Coordinates are included. No trig.

2. Probability: the standard treatment of probability. It may include combinations, permutations, mutually exclusive events, dependent and independent events, and conditional probability. It should not include binomial distribution nor expected value.

3. NO CALCULATOR. Modular Arithmetic: may include arithmetic operations in different moduli, divisibility, solving simple linear congruences in one or two variables, Fermat’s Little Theorem, Wilson’s Theorem, and Chinese Remainder Theorem.

4. NO CALCULATOR. Functions and Relations: Non-recursive, standard functions, limited to linear, quadratic, rational, and piecewise including domain, range, and composition. May include inverse concepts. No logs, exponential, nor trig.

Seniors

1. Triangle Trigonometry with Applications: including right triangle trigonometry, laws of sines and cosines, and of course, word problems.

2. Probability: may include combinations, permutations, mutually exclusive events, dependent and independent events, conditional probability, Bayes Theorem, binomial distribution, expected value, and some simple geometric probability.

3. NO CALCULATOR. Diophantine Equations: may include linear Diophantine Equations, systems of linear Diophantine Equations, and contextual problems.

4. NO CALCULATOR. Vector Analytic Graphing: includes two dimensional vector applications, two and three dimensional vectors, equations of lines and planes in space, scalar, inner and cross products, perpendicularly and parallels. distance between lines, points and planes. (No calculus)