The world turns on symmetry -- from the spin of subatomic particles to the dizzying beauty of an arabesque. But there's more to it than meets the eye. Here, Oxford mathematician Marcus du Sautoy offers a glimpse of the invisible numbers...

Pupil outcome: I can use mathematical vocabulary such as forwards, backwards, left and right to describe movement. Key learning points: - Forwards and backwards can be used to describe movement in a straight line. - Left and right can be...

Pupil outcome: I can use mathematical vocabulary such as left, right, above, below and between to describe position. Key learning points: - Left and right can be used to describe position. - Position can be described using other...

Pupil outcome: I can recognise the effect of applying the transformation y = f(x) + a to a graph. Key learning points: - Desmos is an effective tool for showing the effects of this transformation - The actual function itself does not...