Algebra & functions
Equations, systems, polynomials, sequences, and functional relationships
Competition Mathematics · AMC 10
Connect ideas before the clock decides for you.
AMC 10 Preparation develops the ability to coordinate algebra, geometry, number theory, and combinatorics inside unfamiliar multi-step problems—then choose an efficient path under competition pressure.
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 coordinate several mathematical ideas at once.
This workshop is designed for students who
- have a reliable foundation in school mathematics and want more demanding nonroutine problems
- want to decide independently whether a problem calls for algebra, geometry, counting, or number theory
- benefit from comparing correct solutions for clarity, efficiency, and generality
- are preparing to move from exploratory problem solving toward sustained competition performance
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
Strategic counting, complementary cases, probability, and avoiding overcounting
Geometry
Similarity, coordinates, circles, area and volume, transformations, and spatial constraints
Number theory
Divisibility, primes, remainders, integer equations, and modular patterns
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.