Year 10 and Year 11  KS4 

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INTRODUCTION TO MATHS Erdösese  or do you fancy inventing your own language? NUMBER Irrational numbers and whey they are so. Proof that is irrational Decimals and fractions, the infinity and infinitely small. Zeno's paradoxes NUMBER OPERATIONS GEOMETRY Euclid, Euclidean and nonEuclidean geometries Archimedes' formulae for calculating the volume of a sphere and a cylinder Coordinate system in descriptive geometry, and its inventor Graph Theory  Königsbeg bridges TRIGONOMETRY Pythagoras' theorem  calculations, problems, and constructions Pythagoras and his brotherhood ALGEBRA Fermat's Last Theorem and its link with Pythagoras' theorem Diophantine equations and the link with Euclidean algorithm Some famous numbers and sequences Descartes and his coordinate system LOGIC Binary  Boole and his algebra


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