This course prepares high school students up through 10th grade to take the Mathematical Association of America (MAA) AMC-10 competitions. The core syllabus and topics breakdown to four primary core pillars: Algebra, Geometry, Number Theory, and Combinatorics & Probability
Duration
20 hours
(4 days)
Fees (US$)
Online:
$1,175.00
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Learn, practice and master high school Intermediate algebra
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Learn, practice and master Euclidean and synthetic geometry
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Learn, practice and master Number Theory
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Learn, practice and master Combinatorics & Probability
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Students must be in Grade 10 or below and under 17.5 years old on the day of the competition.
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Students must have a thorough, conceptual understanding of standard high school math up through the end of Algebra 2 and Geometry. Standard middle school courses are not enough.
Algebra
- Intermediate algebra, systems of equations, and word problems (rates, work, mixtures)
- Quadratic equations, parabolas, and factoring techniques
- Inequalities and absolute values
- Polynomial manipulation, roots of polynomials, and Vieta’s Formulas
- Arithmetic and geometric sequences and series
Geometry
- Euclidean and synthetic geometry
- Triangle properties, similarity, congruence, and the Pythagorean Theorem
- Circle theorems (inscribed angles, tangent lines, arc lengths, power of a point, and cyclic quadrilaterals)
- Coordinate geometry and graphing
- 3D solids (prisms, pyramids, cylinders, cones, and spheres: area and volume formulas)
Number Theory
- Properties of integers, prime factorization, and prime numbers
- Divisibility rules, remainders, and last-digit/units-digit patterns
- Modular arithmetic (congruences)
- Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
Combinatorics & Probability
- Multiplication and addition principles
- Permutations and combinations (with restrictions, circular arrangements, and duplicates)
- Casework (systematically splitting problems into scenarios)
- Complementary counting (finding the opposite outcome)
- Basic and intermediate probability, geometric probability, and expected value