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infoWhy this? Algebra provides a precise language for generalising patterns, expressing relationships, and solving problems efficiently. Quadratics connect factorisation, roots, symmetry, and turning points within an important family of functions. Differentiation introduces a systematic way to calculate gradients, analyse curves, and describe instantaneous change.

scheduleWhy now? Extending GCSE algebra and quadratics establishes the fluency needed for subsequent work on graphs, trigonometry, and calculus. Introducing differentiation early allows us to develop and revisit its applications throughout later work on optimisation and variable acceleration.