Mathematical Methods Unit 1&2 provides an introductory study of simple elementary functions of a single real variable, algebra, calculus, probability and statistics and their applications in a variety of practical and theoretical contexts. The units are designed as preparation for Mathematical Methods Units 3 and 4 and contain assumed knowledge and skills for these units.
Apply mathematical processes in mathematical routines and concepts.
Apply mathematical processes in non-routine contexts.
Summary, presentation and interpretation of the findings from the mathematical investigation and related applications.
Using technology to develop mathematical ideas and analyse problems.
Use relevant mental and by-hand approaches to estimation and computation.
Functions, relations and graphs: Students explore the graphical representation and investigate the behaviours of polynomial, power, circular, exponential, and logarithmic functions, analyzing key features such as intercepts, domain, range, asymptotes, symmetry, stationary points, and periodicity.
Algebra, number and structure: Students focus on the algebra of polynomial and simple transcendental functions, along with transformations of the plane.
Calculus: Students study rates of change, including constant, average, and instantaneous rates, using graphical and numerical methods and also explore differentiation and anti-differentiation of polynomial functions, applying various notations and analyzing graphs.
Data analysis, probability and statistics: Students learn about basic probability concepts and explore counting principles and apply them to calculate probabilities.
Units 3 and 4 Mathematical Methods, Any Senior mathematics (Year 11)