Tampa Bay Chinese School - Class Syllabus

Class Syllabus - AMC 10 (高中数学竞赛） by Dr. Dan Li

Syllabus ID: 1569

Semester:

Spring 2026

Class （班级）:

AMC 10 (高中数学竞赛）

Teacher (教师):

Dr. Dan Li

Phone:

Email:

danli091981@gmail.com

Class Time:

2:45 - 4:15 PM

Classroom:

BSN-1402

Course Description (课程介绍):

This AMC 10 preparation course develops mastery of geometry and related topics through the Art of Problem Solving – Introduction to Geometry curriculum. Through strategic chapter combinations, students will build a comprehensive foundation in Euclidean geometry while developing AMC 10 problem-solving skills through weekly practice problems from past competitions.

Prerequisite:

Age recommendations (学生年龄段):

Textbooks (教材):

Art of Problem Solving – Introduction to Geometry

References (参考资料):

Objectives (教学目标):

By the end of this course, students should be able to:

1. **Apply fundamental geometric principles** to solve AMC 10/12-level problems

2. **Write clear, logical geometric proofs** using proper notation and reasoning

3. **Visualize and construct** geometric figures using straightedge and compass

4. **Recognize and apply** key theorems in triangles, circles, polygons, and 3D geometry

5. **Use multiple approaches** including synthetic, coordinate, and transformation methods

6. **Solve problems** involving similarity, congruence, area, volume, and trigonometry

Teaching Methods (教学方法):

I believe in creating a **rigorous, exploration-oriented learning environment** where students develop both **geometric intuition** and **formal proof-writing skills**. My approach emphasizes:

- Building strong foundational understanding of geometric principles

- Developing visual-spatial reasoning and problem-solving strategies

- Practicing construction techniques and formal proofs

- Preparing for AMC 10/12 competition-level geometry problems

- Creating a collaborative community of mathematical thinkers

Student/Parent Responsibilities (学生，家长责任义务):

**Students:**

- Complete all assigned homework before next class

- Actively participate in discussions and proof presentations

- Attempt problems independently before seeking help

- Keep a dedicated geometry notebook with theorems, constructions, and practice problems

- Review class notes and theorems within 24 hours of each session

**Parents:**

- Provide a quiet study environment and necessary materials

- Encourage consistent practice and theorem memorization

- Communicate with instructor about challenges or special needs

- Support student's mathematical persistence and curiosity

Required Supplies (文具要求):

Grading (评分标准):

Weekly Homework

Calendar (教学进度表):

**Week 1: Chapters 1 & 2 - Foundations of Geometry**

**Week 2: Chapter 3 - Congruent Triangles**

**Week 3: Chapter 4 - Perimeter and Area**

**Week 4: Chapter 5 - Similar Triangles**

**Week 5: Chapter 6 - Right Triangles**

**Week 6: Chapter 7 - Special Parts of a Triangle**

**Week 7: Chapter 8 - Quadrilaterals**

**Week 8: Chapter 9 - Polygons**

**Week 9: Chapter 10 - Geometric Inequalities**

**Week 10: Chapters 11 & 12 - Circles and Angles**

**Week 11: Chapter 13 - Power of a Point**

**Week 12: Chapters 14 & 15 - Three-Dimensional Geometry**

**Week 13: Chapters 16 & 17 - Transformations & Analytic Geometry**

**Week 14: Chapter 18 - Introduction to Trigonometry**