AMC Recommended Textbooks

AMC Resources provide comprehensive materials for teachers, parents, and students, designed to strengthen problem-solving skills and support preparation for the MAA American Mathematics Competitions (AMC).

1. Complete AMC 8 Pre-Study Guide

Target Audience:
A step-by-step training series based on the AMC 8 syllabus, designed for students in grades 3–5. Integrates AoPS classic topics and real AMC 8 problems to provide a complete foundation from basic math concepts to competition strategies.

Key Features:

Modular Knowledge Architecture

  • Four core domains: Number Theory, Algebra, Geometry, Combinatorics, presented with mind maps for easy conceptual understanding.

  • Number Theory Module: Prime factorization, congruences, divisibility rules, with guided exercises such as “How to quickly determine if a number is prime?” to develop abstract thinking.

  • Geometry Module: From triangle area calculations to Pythagoras theorem and similarity, extended to 3D shapes like prisms and pyramids to enhance spatial reasoning.

  • Targeted Practice: Each chapter includes AMC 8 sample problems to address common weaknesses, covering integer operations, area calculations, and more.

Socratic Questioning Approach

  • Follows AoPS classic teaching methodology, encouraging students to explore concepts through guided questions.

  • Example: In number theory, questions like “How can we quickly determine if a number is prime?” prompt students to discover prime factorization patterns.

Bilingual Edition (English & Chinese)

  • Key terms and examples are presented in both English and Chinese, helping international students adapt to AMC 8 English problems while strengthening Chinese mathematical expression.

Stepwise Training System

  • Basic Practice: Fraction simplification, integer operations

  • Integrated Applications: Geometry puzzles, probability models

  • Competition Problems: Carefully selected real AMC 8 problems, highlighting high-frequency mistakes and multiple solution strategies

2. International Math Competition Guide (Beginner Level)

Format: Paper edition only

Purpose:
Designed to bridge the gap to international math competitions, covering essential topics in elementary number theory, algebra, geometry, and combinatorics.

Why It’s Special:

  • Bilingual System: Every theory, example, and solution includes English original text with Chinese annotations, boosting both math understanding and competition English skills.

  • Practice System 3.0:

    • Problem Library: Classic and recent competition problems

    • Training Chain: From targeted drills → multi-topic integration → full challenge

    • Solution Library: Multiple solution approaches to foster innovative problem-solving

Expert Team:

  • Developed by international math olympiad coaches and national-level textbook experts

  • Incorporates:

    • Cutting-edge problem-driven and inductive teaching methods

    • Over 10 years of competition problem data

    • Accurate insights into AMC and international competition trends

3. AMC 8/10/12 & AIME Complete Study Notes

Purpose: Streamlined structure to support systematic preparation.

Key Features:

  • Modular Knowledge Mapping: Each chapter is optimized to clarify concepts, remove redundancies, correct errors, and highlight key points.

  • Efficient Learning Mode: Knowledge points + examples + real problems + exercises, arranged from easy to challenging for step-by-step improvement.

  • Integrated Notes & Exercise Sets: Combining notes with problem sets improves daily practice efficiency and accelerates exam preparation.

4. AMC M-Powered Platform

  • Inquiry-Based Learning: Focuses on understanding, memory, and critical thinking through interactive projects and virtual activities.

  • For Everyone: Students, teachers, parents, and AMC community members are invited to join.

  • Curriculum Inspirations: Developed by James Tanton, this resource collection shows practical ways to engage students in mathematical exploration using AMC 8/10/12 problems.

  • Learn 10 Problem-Solving Strategies aligned with classroom and AMC success standards, with abundant practice examples categorized by strategy and core topic.

5. Other Resources

The Art of Problem Solving (AoPS)

  • AoPS develops materials for top students in grades 2–12, helping them gain the skills needed for top universities and prestigious math competitions.

  • AoPS Online Community: 360,000+ members worldwide

  • AoPS Online School: Provides tools for success in advanced math competitions and rigorous academic programs.

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