AOPS Prealgebra
This course helps students to build a solid foundation for elementary and middle school math. The content under this course is more profound and challenging than the regular school curriculum. Instead of the most popular way of traditional school teaching “one mile wide and one inch deep” philosophy, we train students learning new topics with deep understanding and various ways to solve challenging problems. Detailed class information including syllabus can be found under Course > Contest. Many students start from this class and really shine in 2 to 3 years in various math contests include 2025 Math League elementary National champion.
AOPS Algebra1
This course helps students to build a solid foundation for middle school and high school （Algebra 2 and beyond. It is also one of the four AOPS intro series (Algebra, Counting& probability, Geometry and Number theory). Detailed class information including syllabus can be found under Course > Contest.
AOPS Introduction to Geometry
It is a 14-week course （90 minutes each class） with focus on Geometry contents only. No previous class or training needed to enroll in this course. The class will help students to build a solid foundation on Geometry which is usually lack from regular school’s curriculum. This course is offered from Jan to May
We use AOPS introduction to Geometry as textbook. It is not mandatory to buy the textbook since we will provide all class handouts, homework and homework solutions.
Students are expected to use 5hrs each week to preview, take class and finish homework.
Syllabus:
| Lesson 1 | Introduction and Angles |
| Lesson 2 | Angle Chasing |
| Lesson 3 | Congruent triangles |
| Lesson 4 | Perimeter and Area |
| Lesson 5 | Similar triangles |
| Lesson 6 | Right triangles |
| Lesson 7 | Special parts of a Triangle part I |
| Lesson 8 | Special parts of a Triangle part II; Geo inequalities |
| Lesson 9 | Quadrilaterals 1 |
| Lesson 10 | Quadrilaterals 2 |
| Lesson 11 | Polygons |
| Lesson 12 | Circles |
| Lesson 13 | Circles and Angles |
| Lesson 14 | 3-Dimensional Geometry |
AOPS introduction to Counting and probability
It is a 13-week course （90 minutes each week）. It helps students to build a solid foundation for solving problems on counting and probability in short period. No previous class or training is needed. Students who have finished Prealgebra can enroll in this course. This course is offered from May to September.
We use AOPS introduction to counting and probability as textbook.
Students are expected to spend 4 to 5hrs each week to preview, take class and finish homework.
Syllabus:
| Lesson 1 | Counting Multiple Events & Permutations |
| Lesson 2 | Committees & Combinations |
| Lesson 3 | Venn Diagrams & Arithmetic sequences |
| Lesson 4 | Counting Techniques |
| Lesson 5 | Correcting for Overcounting |
| Lesson 6 | Introduction to Probability |
| Lesson 7 | Probability Techniques |
| Lesson 8 | Geometric Probability |
| Lesson 9 | Expect value |
| Lesson 10 | The Hockey Stick Identity & Distinguishability |
| Lesson 11 | Pascal’s Triangles and Binomial Theorem |
| Lesson 12 | Path on Grid and number of ways walking |
| Lesson 13 | Think about it |