Mathematics Extended Module 1

Introduction

Mathematics Extended Module 1 (M1) is an elective component of the senior secondary mathematics curriculum, focusing on the advanced applications of calculus and statistics. This course is designed to provide students interested in mathematical analysis, data science, engineering, and economics with deeper mathematical tools, cultivating their rigorous logical thinking and evidence-based analytical skills.
M1 not only serves as a bridge to STEM-related disciplines at the university level but also equips students with data interpretation and quantitative reasoning skills essential in modern society, giving them a competitive edge in emerging fields such as artificial intelligence and fintech.

Goals

1. Knowledge and Skills
• Master core concepts of calculus (e.g., derivatives, integrals) and apply them to real-world modeling in physics, economics, and other fields.
• Understand statistical principles (e.g., probability distributions, confidence intervals) to develop data analysis and interpretation skills.
2. Thinking and Attitudes
Strengthen the ability to connect abstract mathematics with real-world problems, fostering a spirit of scientific inquiry.
• Develop critical thinking through statistical case studies (e.g., opinion polls, medical data), enabling students to identify data biases and fallacies.
Explore national development issues (e.g., climate change prediction, smart city data analysis) to deepen understanding of mathematics’ societal applications.
3.  Interdisciplinary and Future Preparation
Lay a strong mathematical foundation for STEM fields (e.g., engineering, computer science, actuarial science).
Analyze real-world data (e.g., financial trends, public health statistics) to understand mathematics’ role in national technological advancement and policymaking.

Activities

Statistical Project Competition for Secondary School Students
Creative Infographic Design Competition on Applications of Mathematics for Primary and Secondary Schools
Mathematics Book Report Competition for Secondary School Students
Hong Kong Mathematics Olympiad

Achievements

In recent years, M1 graduates have pursued further studies in diverse fields, including:
Economics
Medical Laboratory Science
Computer Science & Artificial Intelligence
Business Administration
Journalism & Communication
Psychology
Computing Mathematics
Actuarial Science

This demonstrates the versatility of M1 in preparing students for a wide range of academic and professional pathways.