Mathematics Methods is a challenging and rewarding course designed for students who enjoy problem-solving, logical thinking, and exploring how mathematics can be used to understand the world around them. The course focuses on the study of calculus and statistical analysis, providing students with the skills to investigate patterns, model real-world situations, and analyse change and uncertainty.
Through the study of functions, graphs, probability, and calculus, students develop powerful mathematical tools that are widely used in science, engineering, economics, technology, health sciences, and many other disciplines. Students also strengthen their analytical thinking, reasoning, and communication skills while learning to use technology to support mathematical investigation and modelling.
Mathematics Methods provides an excellent foundation for further study at university and is particularly suited to students considering pathways involving mathematics, statistics, science, engineering, economics, psychology, health sciences, and related fields. The course prepares students for tertiary studies where mathematical understanding and problem-solving skills play an important role.
Unit 1 begins by strengthening the algebraic knowledge and skills required for the study of higher-level mathematics and introduces students to key concepts that underpin calculus and statistical analysis.
Students explore trigonometric functions and investigate relationships between variables through the study of functions and graphs. These concepts allow students to model and interpret a range of practical and theoretical situations using mathematical language and technology.
The unit also introduces inferential statistics through the study of probability, counting techniques, conditional probability, and independence. Students learn how mathematics can be used to analyse uncertainty and make informed predictions and decisions.
Throughout the unit, students develop confidence in using graphical and computational technology to investigate mathematical relationships, solve problems, and communicate their reasoning effectively.
Unit 2 extends students’ understanding of algebra, functions, and rates of change through the study of exponentials, sequences, and introductory calculus concepts.
Students investigate exponential functions and their applications in a wide variety of real-world contexts, including population growth, finance, and decay processes. Arithmetic and geometric sequences are also introduced, providing students with further tools for recognising and modelling patterns.
A major focus of this unit is the concept of rates of change. Students explore average rates of change before progressing to the derivative as an instantaneous rate of change — one of the fundamental ideas in calculus. This allows students to model and analyse dynamic situations involving motion, growth, and change.
Throughout the course, students are encouraged to think critically, apply mathematical reasoning, and develop sophisticated problem-solving strategies. Mathematics Methods equips students with the knowledge and skills needed for success in higher-level mathematics and a broad range of tertiary pathways.
Pre-requisites
State A-Grade in Year 10 Mathematics Pathway 1
Mr Adam Henry
Head of Mathematics
adam.henry@cewa.edu.au