Proposed Math League Topics

 
 
Meet I
(A) Arithmetic Percentage. Addition, multiplication and division of fractions. Operations involving complex fractions.
(B) Literal Equations Linear in 1 and 2 variables. Solution of a system of linear equations in 2 variables.
(C) Exponents and Radicals Any operations involving fractional, negative, and zero exponents. Radicals.
Meet II
(A) Algebra I Linear equations in 1 and 2 variables, including word problems.
(B) Equations and       Inequalities Linear inequalities. Linear equations and inequalities involving fractions with variables in the denominator.
(C) Algebra II Quadratic equations. Quadratic inequalities such as (x-1)(x+2)<=>0. Knowledge of the discriminant.
Meet III
(A) Graphing Linear equations and inequalities in 1 and 2 variables.
(B) Geometry Problems with numerical answers involving similar and congruent triangles.
(C) Logarithms Changing from logarithmic form to exponential and vice versa. Equations involving logarithms and exponentials. Logarithms in various bases and change of base.
Meet IV
(A) Algebra I Simplifications of complex algebraic fractions. Word Problems.
(B) Algebra II Factor and Remainder theorems. Synthetic division. Rational roots of polynomial equations.
(C) Trigonometry Use of definitions of trigonometric functions of general angles. Equations and Identities based on 8 fundamental trig identities.
Meet V
(A) Geometry Parallel lines. Similar polygons. Problems involving properties of circles.
(B) Algebra II Progressions, arithmetic and geometric. Operations with complex numbers.
(C) Advanced Algebra Binomial theorem. Permutations and Combinations