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Advice for teachers -
Mathematical Methods

Units 1 and 2

Mathematical Methods Units 1 and 2 cover the areas of study ‘Functions and graphs’, ‘Algebra’, ‘Calculus’ and ‘Probability and statistics’. Courses based on these units should be implemented so that there is a balanced and progressive development of skills and knowledge from each of the four areas of study, and connections between them, in practical and theoretical contexts. In Unit 1 the focus is on the study of algebraic functions, and in Unit 2 the focus is on the study of transcendental functions and the calculus of simple algebraic functions. This is complemented by the study of elementary probability and related statistics.

In undertaking these units, students learn to apply techniques, routines and processes involving rational and real arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, graphs, differentiation and anti-differentiation with and without the use of technology. They should develop their facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, geometric, symbolic and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessment, is to be incorporated throughout the units as applicable.