Math Challenge II-A is for students who are preparing for the American Mathematics Competition 10 (AMC 10) contest. Students are required to have fundamental knowledge in Algebra I, Geometry, Basic Number Theory and Counting and Probability up to the 10th grade level. Topics include polynomials, inequalities, special algebraic techniques, triangles and polygons, coordinates, numbers and divisibility, modular arithmetic, advanced counting strategies, binomial coefficients, sequence and series, and various other topics and problem solving techniques involved in math contests such as the AMC 10, advanced MathCounts, American Regions Math League (ARML), and Zoom International Math League (ZIML) Division H and Junior Varsity Division.
The course is divided into four terms:
- Summer, covering Algebra
- Fall, covering Geometry
- Winter, covering Combinatorics
- Spring, covering Number Theory
The book contains course materials for Math Challenge II-A: Number Theory.
We recommend that students take all four terms. Each of the individual terms is self-contained and does not depend on other terms, so they do not need to be taken in order, and students can take single terms if they want to focus on specific topics.
Chapter Topics
- Place Values and Number Bases
- Divisibility, Divisors, and Multiples
- Problem Solving with Prime Numbers
- Modular Arithmetic
- Problem Solving with Modular Arithmetic
- Fundamental Theorems in Modular Arithmetic
- Advanced Theorems in Modular Arithmetic
- Diophantine Equations
- Solving Equations with the Floor Function
- Math Contest Review
The answer key for MC II-A Number Theory is available by clicking here.
$25.00
