Our AMC10 tutoring courses come with exclusive, self-developed teaching materials. Our instructors are all graduates of prestigious universities at home and abroad, with rich experience in competition teaching. We also offer different classes for students with different levels of knowledge, ensuring targeted instruction and achieving twice the results with half the effort!
Mentor lineup (partial)
Teacher Gao
Master's Degree from the University of Nebraska-Lincoln, USA
AMC Certified Excellent Coach
Has participated in exchange programs in several South American, European, and British countries, familiar with different education systems. Possesses many years of rich practical experience in mathematics teaching, using heuristic teaching methods to help students deeply understand various knowledge points and guide the development of students' creative thinking and basic logical abilities.
Teacher Zhang
PhD in Theoretical Mathematics from the University of Rochester, USA
Postdoctoral Researcher at the Shanghai Center for Mathematical Sciences, Fudan University
Officially Certified Excellent AMC Coach
7 years of research and teaching experience in theoretical mathematics, having systematically taught most professional courses in university mathematics departments from undergraduate to graduate levels. During doctoral studies, participated in numerous lectures and training sessions for AMC and American college mathematics competitions (Putnam, Virginia Tech, etc.).
Teacher Li
Bachelor's Degree in Mathematics from Southern University of Science and Technology
Master's Degree in Quantitative Finance from the National University of Singapore
AMC Certified Excellent Coach, with many years of overseas study, life, and work experience, a solid background in mathematics education and science knowledge, and has received national and university scholarships multiple times. Extensive front-line mathematics teaching experience, emphasizing the organization of internal logic and the ability to apply knowledge to new situations.
AMC10 Mathematics Competition Preparation Class
Course Information
This course is designed for students with virtually no competition experience or prior math competition preparation experience. Students who have answered 8 or fewer questions correctly in the AMC 10 preliminary exam will be admitted to the Basic (Preparatory) class.
The course aims to help students establish a systematic (secondary school) math competition knowledge framework and gain a basic understanding of typical problem-solving techniques and analytical approaches used in competitions. After completing the course, students can choose to further their studies in the full-course or intensive AMC 10/12 program, depending on their individual progress.
Course Outline
Number theory
(1)Divisor Problems of integers
Exponents, Prime factorization, Number of divisors, LCM and GCD
(2)Remainder Problems of integers
Modulus, Congruence and its properties, simple Modular algebra
(3)Digit Problems in different base representations
Base-10 representation, Base-2 representation, Different base conversion
(4)Divisibility Problems
Divisibility rules; Venn diagram, Sets, *Union formula for two/three sets
Algebra
(1)Sequences
Arithmetic Sequences, Geometric sequences, Simple Repeating Sequence
(2)Algebraic Operations and Polynomials
Expansion and Factorization Formulas; *Binomial theorem, Pascal Triangle; Polynomials, Division Algorithm, Remainder Theorem
(3) Functions and Graphs
Linear Functions, Quadratic Functions, *Rational Functions, Absolute Value Functions; Coordinate System;
(4) Solving Equations
Linear equations and quadratic equations, Vieta’s theorem for quadratic equations
(5)Inequalities and Extreme Value Problems
Linear inequalities and System of linear inequalities; AM-GM inequality, Absolute value inequality
Geometry
(1)Triangles
Similar and Congruent; Angle bisector and the Angle Bisector Theorem, Median and the Centroid; Pythagorean Theorem, *Heron's formula
(2)Polygons
Trapezoid, Parallelogram, Rhombus, Rectangle, Square
(3) Circles
Chords, Arcs, Angles and Areas; Inscribed Circles and Circumscribed Circles; *Four Concyclic Points
(4) Simple Solid Geometry
Rectangular Box, Prisms, and Pyramids; Sphere and Cones; Lines and Planes in Space
Combinatorics
(1) Counting Problems
Sum rules and Product rules
(2)Permutation Problems and Combination Problems
Permutation Numbers and Combination Number;*Grouping Theorem;
(3)Simple Probability Problems
The Concept of Probability and basic Properties; Simple Geometric Probability
AMC10 Math Competition Intensive Tutoring Course
Course Information
This intensive course is designed for students with significant experience in math competitions and who have already achieved some success in some competitions, aiming for an AMC10 Distinction (Top 5%) or higher. Students who have answered 15 to 18 questions correctly in the AMC10 pre-test are eligible to join the intensive course.
The course aims to help students quickly consolidate and organize the core knowledge framework for math competitions, further deepen and expand their understanding of key concepts, increase the quantity and intensity of solutions to challenging problems (Q20+), and further enhance their deep understanding and mastery of competition problem-solving techniques and thinking methods, laying a foundation for AIME preparation after advancing to the next level.
Course Outline
1. Number theory（10h）
Elementary
(1) Exponents, Prime factorization, Number of divisors, LCM and GCD
(2) Congruence Theory
(3) Divisibility rules, Venn diagram
(4)Character of digits, Base-n Representation
Advanced
(1)Sum of divisors, Product of divisors, Euclid's Algorithm and *Bezout's Theorem
(2)Euler’s function and theorem, Fermat’s little theorem, *Chinese remainder theorem(CRT)
(3)Sets, Principle of Inclusion and Exclusion
(4)Infinite decimal
2. Algebra (12h)
Elementary
(1) Arithmetic sequences, Geometric sequences, Periodic sequences
(2) Algebraic manipulations; Polynomials, Division Algorithm, Remainder Theorem
(3) Functions and Graphs
(4) Linear equations and Quadratic equations, Vieta’s Theorem
(5)Linear inequalities and system of linear inequalities
Advanced
(1) General recursive sequences
(2) Binomial theorem, Pascal Triangle, Hockey-stick Theorem
(3)Gaussian function
(4) Equations of higher degree, Vieta’s theorem of higher degree
(5) Fundamental inequality, Cauchy's inequality, Absolute value inequality
3. Geometry (10h)
Elementary
(1) Parallel And Similar
(2)Triangles
(3) Polygon (Trapezoid, Parallelogram, Rhombus, Rectangle)
(4) Circles (Chord, Angles, Area)
(5) Solid Geometry
Advanced
(1) Menelaus's theorem, Ceva's theorem, *Stewart Theorem
(2) Heron's formula; Angle Bisector and Median, Centers of Triangles
(3) Four Concyclic Points; Power of a Point Theorem; Ptolemy's theorem
(4) Volume of Frustums
4. Combinatorics (8h)
Elementary
(1) Sum rules and Product rules
(2) Permutations and Combinations
(3) Basic probability Theory and Logic reasoning
Advanced
(1) Geometric Counting Problems
(2) Circular Permutation; Grouping Theorem; Balls into Boxes
(3) Geometric probability, Pigeonhole principle
*(Faster pace than the full course, with more emphasis on challenging problems and advanced extensions of knowledge points)
AMC10 Math Competition Comprehensive Tutoring Course
Course Information
This comprehensive course is designed for students with some experience in math competitions and a good foundation in school mathematics, but who haven't systematically reviewed the competition knowledge framework and have significant gaps in their knowledge in various areas. Students who score 9 to 14 correct answers on the AMC10 pre-test are eligible for the comprehensive course.
The course aims to help students build a complete and systematic knowledge framework for high school math competitions, and gradually familiarize themselves with problem-solving techniques and thinking methods through specialized training in each knowledge area. After the course, students can further participate in pre-exam intensive practice and one-on-one reinforcement and Q&A sessions based on their actual learning progress.
Course Outline
1. Number theory
(1) Prime Factorization; Number of divisors, Sum/Product of divsiors; LCM and GCD, *Euclidean Algorithm and Bezout's Theorem
(2) Congruence Theory; *Euler's Theorem and Fermat's Little Theorem
(3) Divisibility Rules; Sets and Venn diagram; Principle of Inclusion and Exclusion
(4) Digit representation and base conversion; Infinite repeating decimal
2. Algebra
(1) Arithmetic sequences, Geometric sequences, Periodic sequences; General recursive sequences
(2) Algebraic Operation; Binomial theorem, Pascal Triangle, *Hockey-stick Theorem; Polynomials and Division Algorithm, simple Remainder Theorem;
(3) Functions and Graph; Coordinate System; Linear and Quadratic functions; *Guassian Function
(4) Linear equations and Quadratic equations, Vieta's Theorem for Quadratic Equations; *Higher degree polynomial Equations and their Vieta's theorem
(5)Linear inequalities and system of linear inequalities; AM-GM inequality, *Cauchy's inequality, Absolute value inequality
3. Geometry
(1)Basics in Geometry: Angles, Lines; Parallel and Similar
(2) Triangles: Perimeter and Area; Pythagrean Theorem; Heron's formula; Angle Bisector and Angle Bisector Theorem, Median and Centroid;
(3) Quadrilaterals: Rectangle, Square, Parallelogram; Rhombus; Trapizoids
(4) Circles: Perimeter and Area, Arc length and Sector; Chords, Circumscribed Angles, Tangents; Four Concyclic Points; Power of a Point Theorem; *Ptolemy's theorem
(5)Solid Geometry: 3D Space and Planes; Rectanglar Box, Cube; Prism; Pyramid; Surface Area and Volume; *Frustums; Cylinder and Sphere
4. Combinatorics
(1) Basic Counting Principles: Sum rules and Product rules; Geometric Counting Problems
(2)Permutations and Combinations; Circular Permutation; Grouping Theorem; Balls into Boxes
(3) Elementary probability and Simple Stats.
