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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.

- Completing the Square Practise this technique for use in solving quadratic equations and analysing graphs.
- Quadratic Equations Solve these quadratic equations algebraically in this seven-level, self-marking online exercise.
- Using Graphs Use the graphs provided to solve both simultaneous and quadratic equations.

Here are some exam-style questions on this statement:

- "
*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.

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