What you need to know
Check yourself against these “I can” statements.
- I can solve a quadratic by factorising, completing the square or using the formula
- I can use function notation such as f(x)
- I can sketch a quadratic graph and find its turning point
- I can use the discriminant to decide how many real roots a quadratic has
- I can build and use quadratic models of real situations
Practise this topic
6 resourcesQuadratics: Spot the Mistake
A student’s working with a mistake a real student would make (or, about 1 in 8 times, no mistake at all): tap the line you think is wrong, or No mistake, then reveal it, the corrected working and why. One level for each part of…
🧮 ToolGraph Plotter
A graphing calculator: type y = f(x), x = g(y), implicit relations such as x² + y² = 25, inequalities (shaded, dashed for < and solid for ≤), parametric and polar curves, points and tables, functions f(x) = … with f′(x), and…
🧩 ConnectionsQuadratic Forms
Each group is one quadratic seen four ways: expanded, factorised, completed square, its roots, its vertex, or the sum and product of its roots.
📋 Unit reviewQuadratics: Exam Questions
Exam-style questions on the whole Quadratics chapter, researched from real papers, with mark schemes in the examination’s notation (M, A, B, dM, ft, cso and the AO codes): solving, quadratics in disguise, completing the square…
⬢ BlockbustersQuadratics: Spot the Mistake Blockbusters
Blockbusters with the questions from the Quadratics: Spot the Mistake worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…
🧮 ToolVisual Proofs
Animated visual proofs of Pythagoras’ theorem, of the sums of integers, odd numbers, squares and cubes, and of key results in algebra, geometric series, trigonometry and inequalities. They play like Shape Formulas: drag the bar…
Topics in this unit
- 2.1 Solving quadratic equations · 2 resources
- 2.2 Completing the square · 2 resources
- 2.4 Quadratic graphs · 1 resource
These are the pages for Quadratics in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.