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Complex numbers and Argand diagrams
infoWhy this? Complex numbers extend the real number system so that polynomial equations with no real solutions can be solved. Argand diagrams connect this algebra with geometry, allowing us to interpret complex numbers through position, distance, and angle while developing more flexible and abstract mathematical thinking.
scheduleWhy now? Secure quadratic-solving techniques and coordinate geometry provide the foundations for introducing complex arithmetic and its geometric interpretation. Teaching this before roots of polynomials allows us to consider non-real roots, while establishing ideas that will be extended through further complex-number representations in Year 13.