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These are the Transum resources related to the statement: "Pupils should be taught to solve quadratic equations {including those that require rearrangement} algebraically by factorising, {by completing the square and by using the quadratic formula}; find approximate solutions using a graph".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Completing the Square Practise this technique for use in solving quadratic equations and analysing graphs.
- Factorising Quadratics An exercise about factorising quadratics presented one question at a time suitable for a whole class activity.
- Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.
- New Way to Solve Quadratics A computationally-efficient, natural, and easy-to-remember algorithm for solving general quadratic equations.
- Quadratic Equations Solve these quadratic equations algebraically in this seven-level, self-marking online exercise.

Here are some exam-style questions on this statement:

- "
*The diagram shows part of the graph \(y=x^2-3x+6\).*" ... more - "
*(a) Show that the equation \(\frac{3}{x+1}+\frac{3x-9}{2}=1\) can be simplified to \(3x^2-8x-5=0\).*" ... more - "
*In the diagram below, which is not drawn to scale, all dimensions are in centimetres and all angles are multiples of 90*" ... more^{o}. If the shaded area is 698cm^{2}, work out the value of \(x\). - "
*The area of triangle ABC (not drawn to scale) is*" ... more - "
*If \(y = 5x^4 + 3x^2\) and \(x=\sqrt{w+2}\), find \(w\) when \(y = 12\) showing each step of your working.*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.

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