Fusion Math S3 (15 yr old)
Objectives
- Generate greater interest in Mathematics and enhance students’ Mathematical knowledge.
- Sharpen students’ ingenious problem solving skills and reinforce their abilities to attempt challenging Mathematical problems.
- Familiarize students with topics in line with SMO (Senior).
| Semester 1 (Jan – Mar) | Semester 1 (Mar – May) |
|---|---|
| – Divisibility – Odd Numbers & Even Numbers – Greatest Common Divisors – Least Common Multiples – Prime Numbers – Composite Numbers – Unique Factorization Theorem – Square Numbers – Congruence – Diophantine Equations – [x] & {x} |
– Basic Algebra – Quadratic Function & Equation – Polynomial Inequality – Trigonometry – Triangle & Quadrilateral – Circle – Other Geometry Method – Number Theorem – Permutation & Combination – Other Competition Topics |
| Semester 2 (Jun – Sep) | Semester 2 (Sep – Nov) |
| – Trigonometric Functions – Trigonometric Equation – Geometry with Trigonometry – Trigonometric Inequality – Concurrence & Collinearity – Special Points in Triangle – Area |
– Circles – Permutation & Combination – Principle of Inclusion & Exclusion – Pigeonhole Principle – Recurrence Sequence of Numbers – The Generating Functions – Coloring Method & Evaluation Method |
Topics covered are subjected to change depending on the ability of students.