| This course is designed to teach the major strategies of problem solving, to foster mathematical creativity, and to stimulate enthusiasm and love for the types of problems that students encounter in competitive mathematics. Each week students explore a different math topic or problem-solving strategy in depth and practice non-routine contest problems. The Web-based whiteboard provides interactive experiences for students. Students and instructors meet weekly on the whiteboard for problem solving, clarification of concepts, and group sessions. Topics covered include fractions, divisibility, algebra, geometry, number sense, logic, substitution, SAT I strategies, and a more in-depth study of many of the topics covered in Math Olympiad for Elementary School Students.
- Fractions
- Decimals
- Percents
- Factors
- Associative property
- Identify property
- Distributive property
- Closure
- Greatest common factor
- Least common multiple
- Absolute value
- Prime numbers
- Prime factorization
- Polynomials, addition, and subtraction
- Factoring polynomials
- Difference of squares
- Perfect square trinomials
- Divisibility rules
- Probability
- Rules of exponents
- Evaluating powers
- Evaluating roots
- Arithmetic sequences
- Geometric sequences
- Rate problems
- Coin problems
- Distance problems
- Permutations
- Combinations
- Solving equations in one variable
- Solving equations in two variables
- Slope and intercepts
- Systems of equations
- Domain and range
- Quadratic equations
- Vertex
- Sum and product of roots
- Direct anbd indirect variation
- Discriminant
- Fibonacci sequence
- Evaluating graphs
- Extraneous roots
- Area and volume of geometric figures
- Area and circumference of circles
- Functional notation
- Fundamental theorem of arithmetic
- Union and intersection of sets
- Midpoint formula
- Distance formula
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