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These are the Transum resources related to the statement: "Pupils should be taught to identify and interpret roots, intercepts and turning points of quadratic functions graphically; deduce roots algebraically {and turning points by completing the square}".

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

- 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.
- Completing the Square Practise this technique for use in solving quadratic equations and analysing graphs.
- Using Graphs Use the graphs provided and create your own to solve both simultaneous and quadratic equations.

Here are some exam-style questions on this statement:

- "
*Write down the coordinates of the turning point on the graph of \(y = 9 - (x - 5)^2\)*" ... more - "
*The graph of y = f(x) is drawn accurately on the grid.*" ... more - "
*(a) By completing the square, solve \(x^2+8x+13=0\) giving your answer to three significant figures.*" ... more - "
*The diagram below is a sketch of a curve, a parabola, which is not drawn to scale.*" ... more - "
*Given that \(x^2 – 8x + 3 = (x – a)^2 – b\) for all values of x,*" ... more - "
*(a) Find the interval for which \(x^2 - 9x + 18 \le 0\)*" ... more - "
*(a) Write \(2x^2+8x+27\) in the form \(a(x+b)^2+c\) where \(a\), \(b\), and \(c\) are integers, by 'completing the square'*" ... more - "
*A function is defined as \(f(x) = 2{(x - 3)^2} - 5\) .*" ... more - "
*Let \(f(x)=5x^2-20x+k\). The equation \(f(x)=0\) has two equal roots.*" ... 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.