\( \DeclareMathOperator{cosec}{cosec} \)

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

- Factorising Video A reminder of how to factorise an algebraic expression. This video is to help you do the online, self-marking exercise.
- New Way to Solve Quadratics A computationally-efficient, natural, and easy-to-remember algorithm for solving general quadratic equations.
- Quadratic Equations Video Learn the common methods of solving quadratic equations by factorising and by using the quadratic formula.
- Quadratic Equations Solve these quadratic equations algebraically in this seven-level, self-marking online exercise.
- Factorising Quadratics An exercise about factorising quadratics presented one question at a time suitable for a whole class activity.
- Completing the Square Practise this technique for solving quadratic equations and analysing graphs.
- Where am I with Algebra? Find out how developed your algebra skills are and then take them to the next level.
- Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.

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 \(x\). - "
*Given that:*" ... more - "
*Given that \(x^2 – 8x + 3 = (x – a)^2 – b\) for all values of x,*" ... more - "
*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.

This video on Completing The Square is from Revision Village and is aimed at students taking the IB Maths AA Standard level course

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.