Advanced algebra & functions
Polynomials, rational expressions, sequences, complex numbers, and functional structure
Competition Mathematics · AMC 12
See the structure before the computation takes over.
AMC 12 Preparation asks students to coordinate a broader high-school mathematics toolkit, sustain longer chains of reasoning, and recognize the structural shortcut that makes a difficult problem manageable.
16 sessions1 hr 45 min eachOnce weekly* school year$300* per month
*Summer terms meet twice weekly and complete the same 16-session course in eight weeks. Summer tuition is $600 per month.
Course fit
For students ready to reason across the full high-school mathematical landscape.
This workshop is designed for students who
- are comfortable with high-school algebra and geometry and want problems that demand greater abstraction
- want to coordinate functions, trigonometry, geometry, number theory, and combinatorics without chapter labels
- can sustain multi-step reasoning while continuing to search for a cleaner structural approach
- want to extend competition mathematics beyond AMC 10 without reducing preparation to timed repetition
The workshop spine
Ideas become useful when labels disappear.
The exact topic map may change as the curriculum develops. The 16-session learning progression remains consistent across the AMC family.
- 01Learn the tool
Build a useful idea or representation before applying it.
- 02Focus the problem
Work through carefully selected problems that isolate the idea.
- 03Remove the label
Meet unfamiliar mixed problems without being told which tool to use.
- 04Add the clock
Practice judgment, selection, and recovery under competition conditions.
- 05Integrate
Compare approaches and carry the strongest habits into the next cycle.
Representative problem domains
A connected field, not four isolated chapters.
Combinatorics & probability
Advanced counting, recursive structure, probability, and careful case partitioning
Geometry & trigonometry
Euclidean and coordinate geometry, circles, transformations, and trigonometric relationships
Number theory
Divisibility, congruence, integer equations, prime structure, and constructive arguments
These domains describe the intended range, not a fixed weekly syllabus. Problems increasingly combine ideas and require students to decide what matters.
Problem-solving habits
Productive struggle has a method.
01Begin
Translate the question and test a small example.
02Organize
Draw, tabulate, classify, or split into cases.
03Notice
Look for symmetry, invariants, and hidden constraints.
04Recover
Recognize a dead end and change representation.
05Compare
Study why one solution is clearer or more efficient.
Most of the work happens together.
The course is primarily an in-class mathematical workshop. Outside work remains light or optional so discussion, experimentation, and solution comparison stay central.