IP Maths Notes (Lower Sec, Year 1-2): 05) Quadratic Expressions & Graph Sketching
In one line
Factorise quadratics, complete the square, find turning points, and sketch parabolas accurately.
Last updated 30 Nov 2025
Want small-group support? Browse our IP Maths Tuition hub. Not sure which level to start with? Visit Maths Tuition Singapore.
Planning a revision session? Use our study places near me map to find libraries, community study rooms, and late-night spots.
Read in layers
1 second
Read the summary above.
10 seconds
Scan the first few sections below.
100 seconds
Jump into the section that matches your decision.
- Start Here
- Learning targets
- 1 Factorisation recap
- 2 Completing the square
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.
Start Here
| Read time | What to take away |
| 1 second | Quadratics link factorisation, roots, turning points, and parabolic graphs. |
| 10 seconds | Factor when the roots are neat, complete the square to find the vertex, and use the discriminant when you need to know how many real roots exist. |
| 100 seconds | Follow the sketching workflow: find intercepts, find the vertex, draw the axis of symmetry, decide whether the curve opens up or down, then label the graph clearly. |
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 4052 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
New to the Integrated Programme? Start with What is IP? | Browse all free IP notes.
Learning targets
- Factorise simple quadratics and solve
