Unit 4 Cambridge IGCSE 0607 Maths Functions Linear quadratic and Cubic

Unit 4 — Functions: Linear, Quadratic and Cubic
Cambridge IGCSE 0607 Extended
This unit develops students’ understanding of the three core function families and the algebraic techniques needed to manipulate, analyse and apply them. Students move from substitution and algebraic simplification through to recognising graphs by shape, finding key features using a GDC, and constructing equations from given information. The unit also introduces formal function language — domain, range, inverse and composite functions — and the effect of horizontal and vertical translations on a graph.
By the end of the unit, students will be able to expand and factorise quadratic and cubic expressions, solve linear and quadratic equations (by factorisation, formula and GDC), solve simultaneous and quadratic inequalities, and find the equation of a quadratic from its vertex or intercepts. They will also be confident in using a GDC to sketch graphs, find zeros, locate maxima and minima, and identify points of intersection.
The unit emphasises clear mathematical communication: showing every step of working, simplifying answers fully, using exact forms (such as surds or multiples of π\pi
π) where required, and giving non-exact answers correct to at least three significant figures. Topics from this unit are assessed on the mid-course examination.