IP Maths Notes (Lower Sec, Year 1-2): 05) Quadratic Expressions & Graph Sketching
Download printable cheat-sheet (CC-BY 4.0)20 Nov 2025, 00:00 Z
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Q: What does IP Maths Notes (Lower Sec, Year 1-2): 05) Quadratic Expressions & Graph Sketching cover?
A: Factorise quadratics, complete the square, find turning points, and sketch parabolas accurately.
Quadratics surface in projectile motion, optimisation, and curve sketching. Build muscle memory for algebraic techniques and graphical meaning.
These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4048 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
Learning targets
- Factorise simple quadratics and solve .
- Complete the square to identify vertex form.
- Determine symmetry, intercepts, and turning points.
- Sketch parabolas with annotated intercepts and axis of symmetry.
1. Factorisation recap
Use the product-sum method for monic quadratics: find numbers
