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These are the Transum resources related to the statement: "Solution of quadratic equations and inequalities. The quadratic formula. The discriminant ∆=b^{2}-4ac and the nature of the roots, that is, two distinct real roots, two equal real roots, no real roots".

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.
- 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.
- Quadratic Formula Song A song from Math Upgrade dot com.

Here are some exam-style questions on this statement:

- "
*(a) Show that the equation \(\frac{3}{x+1}+\frac{3x-9}{2}=1\) can be simplified to \(3x^2-8x-5=0\).*" ... more - "
*A red rug has a width of \(x-3\) cm and a length of \(4x\) cm.*" ... more - "
*The area of triangle ABC (not drawn to scale) is*" ... more

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

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