Intermediate Classes Syllabi:

Intermediate B Geometry Syllabus:

1. Introduction, Proofs of Basic Triangle centers. Review Basic geo theorem proofs
2. Quadrilaterals, Cyclic Quadrilaterals
3. Polygons, The Bigger Picture, Spiral Similarity
4. Circles
5. Trig in Geo
6. Locus
7. 3D
8. Transformations
9. Coordinates
10. Complex Numbers

Intermediate B Counting/Probability Syllabus

0. Casework Pset
1. Probability as Geometry
2. Probability as Counting
3. Probability as Algebra (States)
4. PIE Correcting for Overcounting
5. Symmetry, Burnside's Lemma
6. Sets, Distributions, Identities
7. Combinatorial Identities
8. Recursion
9. Expected Value
10. Combo Team Game

Intermediate Number Theory Syllabus:

1. Divisibility, Divisor Counting
2. Modular Arithmetic I
3. Modular Arithmetic II (Chinese Remainder Theorem)
4. Combinatorial NT, Legendre
5. Modular Arithmetic III
6. Factoring is Factoring
7. Diophantine Equations
8. Base Number Model, Polynomials in NT
9. Modular Inverses, Sequences
10. Fermat's Little Theorem, Euler's Theorem, Wilson's Theorem.
Other Topics: Inverses, Divisibility rules base b

Intermediate Alg/Miscellaneous topics (2022)

1. Burnside's Lemma
2. Graph Theory part 1
3. Graph Theory part 2
4. Graph Theory part 3
5. Inequalities part 1
6. Inequalities part 2
7. Inequalities part 3
8. Conditional Probability
9. constructions and locus?
10. Generating functions
11. catalan numbers.