Maths Faculty
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 Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course, and therefore also the Mathematics Advanced Year 12 course.
The study of Mathematics Extension 1 in Stage 6:
Enables students to develop thorough knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
Provides opportunities for students to develop rigorous mathematical arguments and proofs, and to use mathematical models extensively
Provides opportunities for students to develop their awareness of the interconnected nature of mathematics, its beauty and its functionality
Provides a basis for progression to further study in mathematics or related disciplines and in which mathematics has a vital role at a tertiary level
Provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in such areas as science, engineering, finance and economics.
The Mathematics Extension 1 Year 11 course content is comprised of four topics, with the topics divided into subtopics. The Mathematics Extension 1 Year 12 course content includes the topics trigonometric functions and calculus continued from Year 11 and introduces three different topics.
Preliminary
Functions - Further Work with Functions; Polynomials
Trigonometric Functions - Inverse Trigonometric Functions; Further Trigonometric Identities
Calculus - Rates of Change
Combinatorics - Working with Combinatorics
HSC
Proof - Proof by Mathematical Induction
Vectors - Introduction to Vectors
Trigonometric Functions - Trigonometric Equations
Calculus - Further Calculus Skills; Applications of Calculus
Statistical Analysis - The Binomial Distribution
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