Curriculum Portal

infoWhy this? Binomial expansions with fractional and negative powers provide useful approximations and develop understanding of how their validity depends on the input. Numerical methods allow us to approximate roots systematically when exact solutions are unavailable or impractical, while considering accuracy and convergence.

scheduleWhy now? Year 12 binomial expansion, strengthened by Year 13 algebra and series, provides the basis for extending the method beyond positive integer powers. Earlier work on functions, graphs, and differentiation allows us to understand iterative methods and interpret their success or failure rather than simply follow procedures.