I use this mostly as a resource for my own teaching; using it I can lay my hands of exam questions and solutions of different types very quickly. My students and pupils find it useful too because it shows how to do exam questions using the techniques taught in class; there is an important difference with mark schemes here.
The UK mathematics exam system is in a state of flux at the moment. I see this is as a great opportunity to review and refresh all my teaching material. I look forward to generating new material to support a revised school exam system.
This method for finding the centre, and by extension the equation, of a circle given three non-colinear points, brings the ancient textbook master Euclid onto Descartes’ coordinate plane and right into the 21 century classroom.
Area sandwich proves that finding areas is opposite to differentiation – The Fundamental Theorem of Calculus
Pascal’s Triangle with binomial coefficients expressed modulo prime numbers in an ascending sequence.
Pascal’s triangle with each term expressed as a remainder when divided by 2. The pink squares show whether a number is odd or not. This appears to give a fractal pattern.