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Different graphs, Transformations and Binomial expansion
infoWhy this? Straight line graphs connect equations to geometric meaning through gradient and intercept, underpinning coordinate geometry and modelling. Transformations show how equations control shape and position, building a more flexible understanding of functions. The binomial theorem gives a structured method for expanding powers and spotting coefficients and patterns quickly.
scheduleWhy now? They fit well after quadratics, helping students compare function types and preparing them for circles and transformations. After meeting several standard graphs, students are ready to generalise how translations, stretches and reflections work. Binomial expansion introduced once algebraic notation is secure, laying foundations for the Year 13 extension to non-integer powers.