Introducing algebraic techniques (introducing the concept of variables as a way of representing numbers using letters, extending and applying the properties of arithmetic to algebraic terms and expressions, and introducing basic concept of the cartesian plane)
Introduction to equations (solving by inspection, solving with fractions/brackets and applying in problems)
Introducing HCF/LCM ideas, divisibility tests (and their proofs (extension))
Introducing indices (Prime numbers, prime decomposition, squares/square roots/cubes/cube roots, index laws)
Extension (Number Theory)
Alternate bases (binary etc.) and applications to counting problems