Teaching
Here are various handouts and materials that I used for teaching.Bhutan IMO Training
In January 2024, I traveled to Bhutan to train their first ever IMO team. Here are the handouts that we used.
- Day 0: Mathematical Playground
- Day 1: Introduction to Proof
- Day 2: Introduction to Angle Chasing (extra problems)
- Day 3: Introduction to Counting
- Day 4: Algebraic Manipulations (identities sheet)
- Day 5: Modular Arithmetic
- Day 6: Games and Midterm 1 Review
- Day 7: Midterm 1 (solutions)
- Day 8: Area
- Day 9: Equations and Vieta's Formulas
- Day 10: Proofs in Angle Chasing
- Day 11: Induction
- Day 12: Divisibility and Midterm 2 Review
- Day 13: Midterm 2 (solutions)
- Day 14: Pigeonhole Principle
- Day 15: Journey to the International Math Olympiad and Resources
- Day 16: Final Exam (solutions)
Math Circle
In high school, I helped run my school's math circle. Here are some of the handouts that I used.
- Three-Dimensional Geometry
- AMC Preparation Tips
- Diophantine Equations
- Divisibility
- Combinatorial Games
- Large Numbers
- Logarithms
- Prime Factorization
- Principle of Inclusion-Exclusion
- Tangent Circles
- Vieta's formulae
Other
Here are some handouts I used to teach basic school-level geometry.- Day 1: Angles
- Day 2: Polygons
- Day 3: Area and Perimeter
- Day 4: The Coordinate Plane
- Day 5: The Pythagorean Theorem
- Day 6: Three-Dimensional Geometry
- Day 7: Surface Area and Volume