Wednesday, December 14, 2016

Math Resources, Competitions, and Curriculum Suggestions

Competitions:

Math Problems:

AMC 8, AMC 10/12, AIME:
AMC 10/12
AMC 8
AMC 8 Registration Form
AMC 8 Problems and Solutions
American Invitational Mathematics Exam


Resources:
Interactive MATHCOUNTS Platform
How to Write MathCounts Competition Answers

MathCounts Topics (JHU MathCounts Syllabus):
  1. Fundamentals: Arithmetic
  2. Proportional Reasoning
  3. Radicals and Exponents
  4. Algebra A: Polynomials, Linear Equations and Functions
  5. Algebra B: Applications, Nonlinear Equations, Inequalities, Functions.
  6. Plane Geometry
  7. Coordinate Geometry
  8. Solid Geometry (addresses also transformational geometry)
  9. Statistics and Probability
  10. Sequences and Series
  11. Problem Solving

Art of Problem Solving Videos
Khan Academy Mathematics Videos

Math Typesetting Tool
SAGE Math Cloud
Geometry Sketching Tool

Math Curriculum Suggestions from AOPS
Curriculum Inspirations by James Tanton, PhD (videos)

Thinking and G'Day Mathematics (resources for students and teachers):

http://www.jamestanton.com/
http://gdaymath.com/

Book of Proof (Free PDF available under Creative Commons License)


Other Competitions: