Maths Faculty
The Mathematics Advanced course is a calculus-based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality. The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.
The study of Mathematics Advanced in Stage 6:
Enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
Provides opportunities for students to consider various applications of mathematics in a range of contemporary contexts through the use of mathematical modelling to solve problems related to their present and future needs
Provides opportunities for students to develop ways of thinking in which problems are explored through observation, reflection and reasoning
Provides a basis for further studies in disciplines in which mathematics and the skills that constitute thinking mathematically have an important role
Provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in a range of disciplines at the tertiary level.
The Mathematics Advanced Year 11 and Year 12 courses comprise five topics, with the topics divided into subtopics. The Mathematics Advanced Year 12 course content includes four of the same topics and the topic of Financial Mathematics in place of the topic of Exponential and Logarithmic Functions:
Preliminary
Functions - Working with Functions
Trigonometric Functions - Trigonometry and Measure of Angles; Trigonometric Functions and Identities
Calculus - Introduction to Differentiation
Exponential & Logarithmic Functions - Logarithms and Exponentials
Statistical Analysis - Probability; Discrete Probability Distributions
HSC
Functions - Graphing Techniques
Trigonometric Functions - Trigonometric Functions and Graphs
Calculus - Differential Calculus; The Second Derivative; Integral Calculus
Financial Mathematics - Modelling Financial Situations
Statistical Analysis - Descriptive Statistics, Bivariate Data Analysis, Random Variables
Sample HSC School-Based assessment
The knowledge and skills developed in this course can be applied across a range of career pathways. Industries related to this course include, but are not limited to, the following outlined on the Your Career website:
Construction
Electricity, Gas, Water and Waste Services
Manufacturing
Mining
Professional, Scientific and Technical Services