Transition to Advanced Mathematics
This course is designed for students who are curious about mathematics beyond the standard curriculum and eager to explore ideas in greater depth. The course emphasizes number theory, number systems, and geometry, with a strong focus on reasoning, pattern-finding, and clear mathematical explanation.
Students investigate rich problems involving divisibility, modular arithmetic, representations of numbers, geometric constructions, and spatial reasoning. Rather than accelerating through topics, the course prioritizes deep understanding, thoughtful problem solving, and the development of mathematical maturity. Students are encouraged to make conjectures, test ideas, and clearly explain their reasoning in a collaborative setting.
By the end of the term, students are better prepared, and more motivated, to pursue advanced mathematics through PiMath, their home schools, and other enrichment or research-oriented programs.
- Polygonal numbers
- Divisibility
- Modular arithmetic
- Number systems
- Geometric constructions
- Spatial reasoning
- Introduction to proof