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Class Syllabus - AMC 8 （初中数学竞赛) by Dr. Dan Li

Syllabus ID: 1534

Semester:

Fall 2025

Class （班级）:

AMC 8 （初中数学竞赛)

Teacher (教师):

Dr. Dan Li

Phone:

na

Email:

danli091981@gmail.com

Class Time:

1:00 - 2:30 PM

Classroom:

BSN-2201

Course Description (课程介绍):

This AMC 8 prep course builds strong foundations in prealgebra, number theory, algebra, geometry, counting, and probability using the Art of Problem Solving – Prealgebra curriculum. Through targeted lessons, past contest problems, weekly challenges, and mock exams, students develop problem-solving fluency, logical reasoning, and test-taking strategies. The course emphasizes persistence, creativity, and collaboration to prepare students for success in the AMC 8 and beyond.


Prerequisite:

Age recommendations (学生年龄段):

ages 11–14, grades 6–8

Textbooks (教材):

Art of Problem Solving - Prealgebra

References (参考资料):

Objectives (教学目标):


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

1. **Apply core prealgebra concepts** (arithmetic, algebra, geometry, number theory, probability) to solve AMC 8–level problems.

2. **Analyze and break down multi-step problems** using logical reasoning and strategic thinking.

3. **Demonstrate fluency** in problem-solving strategies commonly used in AMC8 contest.

4. Approach unfamiliar problems with **confidence and persistence**.


Teaching Methods (教学方法):

This course uses a blended, problem-solving–focused approach that combines:

  • Interactive instruction to introduce and clarify key concepts.

  • Guided practice with worked examples and step-by-step reasoning.

  • Collaborative problem solving in small groups to share strategies and build communication skills.

  • Contest-style challenges to develop speed, accuracy, and creative thinking.

  • Regular feedback and reflection to help students learn from mistakes and refine techniques.

The emphasis is on active participation — students learn by doing, discussing, and thinking critically, rather than passively memorizing.


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


**Students:**

- Complete all assigned homework before next class.

- Actively participate in discussions and group activities.

- Attempt problems independently before seeking help.

- Keep a dedicated notebook for problem records & reflection.



**Parents:**

- Provide a quiet study environment at home.

- Monitor and encourage consistent practice.

- Communicate with instructor about challenges or special needs.

Required Supplies (文具要求):

Grading (评分标准):

This course focuses on mastery and growth rather than traditional letter grades. Progress will be measured by:

- Homework Completion (40%) – Accuracy, effort, and timeliness of weekly assignments.

- In-class Participation (20%) – Engagement in problem-solving discussions and group activities.

- AMC 8 Practice Tests (30%) – Performance on timed mock exams and solution reviews.

- Challenge Problems (10%) – Extra-credit or enrichment questions attempted beyond standard homework.

Calendar (教学进度表):

**Weeks 1 & 2: Number Theory**
- Integers, divisibility, prime numbers
- Factors, multiples, GCD, LCM
- AMC 8 practice problems

**Weeks 3–7: Algebra & Arithmetic**
- Fractions, decimals, operations
- Ratios, rates, percents
- Expressions, equations, inequalities
- Coordinate plane basics
- AMC 8 past problems

**Weeks 8–10: Geometry**
- Properties of triangles, polygons
- Perimeter, area, volume
- Pythagorean theorem, transformations
- AMC 8 geometry practice

**Weeks 11–12: Counting & Probability**
- Permutations, combinations
- Probability fundamentals
- Venn diagrams & arrangements

**Weeks 13–14: Advanced Number Theory & Problem Solving**
- Modular arithmetic, divisibility rules
- Word problems & logical reasoning
- Enrichment AMC 8 problems

**Week 15: Review & Mock Exams**
- Full-length AMC 8 timed tests
- Solution review sessions
- Test-taking & stress-management strategies

Additional Notes (其它):