H2 Mathematics (Syllabus 9758)

This entry details the H2 Mathematics syllabus (9758) offered in Singapore Junior Colleges (JC). The syllabus is designed to prepare students for university courses requiring a strong mathematical foundation, such as mathematics, sciences, engineering, and related disciplines. It emphasizes developing mathematical thinking, reasoning skills, and applying mathematical concepts to real-world scenarios.

Syllabus Aims

The H2 Mathematics syllabus aims to enable students to:

• Acquire mathematical concepts and skills for tertiary studies in relevant fields.
• Develop thinking, reasoning, communication, and modeling skills through mathematical problem-solving.
• Connect mathematical ideas and apply them to scientific, engineering, and other related contexts.
• Appreciate the nature and beauty of mathematics and its value in life and other disciplines.

Assessment Objectives

The H2 Mathematics examination assesses students' abilities to:

• AO1: Understand and apply mathematical concepts and skills in diverse problems, including unfamiliar contexts and integration of concepts from multiple topics.
• AO2: Formulate real-world problems mathematically, solve them, and interpret the solutions in the problem's context.
• AO3: Reason and communicate mathematically through deductions, explanations, arguments, and proofs.

Scheme of Examination Papers

The H2 Mathematics examination comprises two 3-hour papers, each contributing 50% to the total mark:

• Paper 1 (100 marks): Consists of 10-12 questions based on Pure Mathematics. At least two questions focus on real-world applications, each carrying at least 12 marks and potentially integrating multiple topics.
• Paper 2 (100 marks): Divided into two sections:
• Section A (40 marks): 4-5 questions on Pure Mathematics.
• Section B (60 marks): 6-8 questions on Probability and Statistics. At least two questions focus on real-world applications, each carrying at least 12 marks and potentially integrating multiple topics.

JC1 Topics

The topics covered in JC1 typically include a selection from the following:

• Functions and Graphs: Functions, graphs, transformations, equations, and inequalities.
• Sequences and Series: Arithmetic and geometric progressions, summation notation.
• Vectors: Basic properties of vectors, lines, and planes, system of linear equations.
• Calculus: Differentiation.
• Introduction to Complex Numbers: Complex number representation and operations.

Assessment (JC1)

Assessment in JC1 may include:

• Weighted Assessments: Topical tests throughout the year.
• Promotional Examinations: End-of-year examinations covering JC1 topics.

Past year papers and topical revision resources are often available to aid in exam preparation.