IP Maths Notes (Lower Sec, Year 1-2): 05) Quadratic Expressions & Graph Sketching

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20 Nov 2025, 00:00 Z

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.

Learning targets

Factorise simple quadratics and solve $ax^2 + bx + c = 0$ .
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 $p, q$

IP Maths Notes (Lower Sec, Year 1-2): 05) Quadratic Expressions & Graph Sketching

Learning targets

1. Factorisation recap

2. Completing the square

3. Quadratic formula

4. Graph sketching workflow

Worked example - Sketching $y = -2x^2 + 8x - 5$

5. Optimisation context

Practice Quiz

Try it yourself

Related Posts

Learning targets

1. Factorisation recap

2. Completing the square

3. Quadratic formula

4. Graph sketching workflow

Worked example - Sketching y=−2x2+8x−5 y = -2x^2 + 8x - 5 y=−2x2+8x−5

5. Optimisation context

Practice Quiz

Try it yourself

Related Posts

Worked example - Sketching $y = -2x^2 + 8x - 5$