Math competition courses for middle school students
Four courses - One for each Subject
- Introduction to Algebra
- Introduction to Geometry
- Introduction to Number Theory
- Introduction to Counting & Probability
Prerequisite
- Students should have finished the AOPS "Prealgebra" book.
- We recommend starting from Algebra class first
Course Format
- All courses are online, live via Zoom.
- Each course has 2 hours of lectures each week.
Course Meeting time (all in US eastern time)
- Introduction to Algebra: To be announced
- Introduction to Geometry: May 2025 - Jan 2026. Sunday 7:00-9:00 PM US Eastern time
- Introduction to Number Theory: June - August 2025, meeting time to be announced.
- Introduction to Counting & Probability: Dec. 22, 2024 - April 2025. Sunday 7:00-9:00 PM US Eastern time.
Course Material
- The AOPS Introductory books
- Lecture notes
- Selected problems from past AMC8 and Mathcounts exams
Introduction to Algebra
Session 1
Linear Equations
Multi Variables
Factoring
System of Linear Equations
Ratios/Percentages
Linear Graphing
Linear Inequalities
Absolute Values
More Factorings
Session 2
Quadratic Equations
Vieta Theorem
Sequences and Series
Exponents
Radicals
Functions
Quadratic Graphing
Quadratic inequalities
Introduction to Geometry
Session 1
Lines / Angles
Perimeters / Areas
Triangle Congruence
Similar Triangles
Circle Funky Area
Right Triangles
Area Method
Session 2
Triangle Centers
Quadrilaterals
Polygons
Circle Angles
Power of a Point
Three Dimensions
Trigonometry Introduction
Analytical Geometry
Introduction to Number Theory
One Session
Primes and Composites
Multiples and Divisors
Factorization
More on Divisors
Number Algebra
Number Basis
Decimals and Fractions
Units digit
Modular Arithmetic
Divisibility Rules
Linear Congruence
Introduction to Counting & Probability
One Session
Basic Counting
Counting Techniques
Permutations
Combinations
More on Combinations
Pascal Triangle
Stars & Bars
Probabilities
Geometry Probability
Expected Values
Binomial Theorem