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This is one of the most common questions received at A-Level, and it is one of the questions which best highlights the jump from GCSE to A-Level. My understanding of the requirements of the A-Level paper...

firstly explain (x-3)² = (x-3)(x-3) on the whiteboard I'd draw a square grid with each of the numbers, then I'd multiply out. E.g. x multiplied by x = x²; x multiplied by -3 = -3x an...

Waterfalls form where the river bed has a layer of harder rock overlying the softer rocks. As water falls the softer rock is eroded more quickly than the harder rock leading to undercutting of the harder ...

There are 2 ways to solve simultaneous equations which are by substitution or elimination. In this example you can use both but elimination is simpler. So we have 2x + 7y = 14 and x + y = 2. To use elimin...

With the methods we know at A Level we cannot current differentiate x^x in its current form. Therefore let y = x^xTo turn it into a form we can differentiate we take the natural log o...