H2 Maths Notes (JC 1-2): 00A) Section A -- Pure Mathematics Overview

Q: What does H2 Maths Notes (JC 1-2): 00A) Section A -- Pure Mathematics Overview cover?
A: Map the Pure Mathematics strand of the 2026 H2 syllabus: functions, series, vectors, complex numbers, calculus, and how to pace them across JC1-2.

How to use this guide\ Section A contributes roughly 70% of the H2 Mathematics papers. Treat this overview as the scaffolding for the topic-by-topic notes that follow. Each subsection below lists the core skills MOE expects, links to the companion deep dives (coming next), and flags IP bridge topics you can revisit for quick wins.

1 | Functions and Graphs (Topic 1)

• Why it matters: Functions frame almost every JC problem. You must be fluent with domain/range, inverse and composite functions, and graph transformations.
• Workplan
  1. Revisit IP checkpoints: surds, logarithms, graph sketching of quadratics, hyperbolas, and simple rational forms.
  2. Practise the "set-up $\rightarrow$ algebra $\rightarrow$ graph" workflow so you can confirm one-to-one behaviour before finding an inverse.
  3. Use the GC intentionally: plot, annotate roots or turning points, then justify algebraically.
• Key reminders
  • Verify inverses by checking $f\bigl(f^{-1}(x)\bigr) = x$