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: To be announced
- Introduction to Number Theory: To be announced
- Introduction to Counting & Probability: Dec. 22, 2024 - Mar 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 - One Semester
Linear Equations
Multi Variables
Factoring
System of Linear Equations
Ratios/Percentages
Linear Graphing
Linear Inequalities
Absolute Values
More Factorings
Session 2 - One Semester
Quadratic Equations
Vieta Theorem
Sequences and Series
Exponents
Radicals
Functions
Quadratic Graphing
Quadratic inequalities
Introduction to Geometry
Session 1 - One Semester
Lines / Angles
Perimeters / Areas
Triangle Congruence
Similar Triangles
Circle Funky Area
Right Triangles
Area Method
Session 2 - One Semester
Triangle Centers
Quadrilaterals
Polygons
Circle Angles
Power of a Point
Three Dimensions
Trigonometry Introduction
Analytical Geometry
Introduction to Number Theory
One Session - One Semester
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 - One Semester
Basic Counting
Counting Techniques
Permutations
Combinations
More on Combinations
Pascal Triangle
Stars & Bars
Probabilities
Geometry Probability
Expected Values
Binomial Theorem