Unit 1
Specialist Mathematics Units 1 introduces students to the core areas of Algebra, number and structure and Discrete mathematics, with a focus on developing formal mathematical notation and reasoning. Students learn to manipulate number systems (including real and complex numbers), apply proof techniques (direct proof, contradiction and induction), explore graph theory and develop and interpret simple algorithms, all with and without the use of technology .
Unit 2
In Unit 2 the study broadens to Data analysis, probability and statistics, Space and measurement, Algebra, number and structure and Functions, relations and graphs. Key skills include using simulation to investigate sampling distributions, analysing trigonometric identities and transformations in the plane, applying vector and matrix methods to geometric constructions, and interpreting and sketching functions with technology support .
Unit 3
Units 3 and 4 assume familiarity with Methods Units 3–4 and extend knowledge across six areas of study. In Unit 3 students typically cover Discrete mathematics, Functions, relations and graphs, Algebra, number and structure, Space and measurement and Calculus, learning to construct rigorous proofs (including induction), perform curve sketching of polynomial and rational functions, apply differentiation techniques, model geometric situations with vectors and solve applied problems using technology .
Unit 4
In Unit 4 the remaining content from Discrete mathematics, Calculus and Space and measurement is completed, alongside Data analysis, probability and statistics. Students develop skills in anti-differentiation and integration (including applications to areas and probability distributions), statistical inference for continuous variables, advanced vector geometry and kinematics, and apply these in modelling and problem-solving contexts using appropriate technological tools .