Mathematics Advanced

Prerequisites:

The Mathematics Advanced Year 11 course is designed for students who have successfully completed the Stage 5 Mathematics syllabus (Years 9–10) and have demonstrated strong achievement in mathematics.

It is assumed that students have developed a high level of competence in key areas including algebraic techniques, equations, indices and surds, trigonometry, linear and non-linear relationships, and data analysis. A strong understanding of these concepts and the ability to apply them in problem-solving situations is essential for success in this course.

Due to the demanding nature of Mathematics Advanced, students are required to make a formal application in Term 3 of Year 10. As a guide, students should have demonstrated consistent achievement at a high level (for example, an average of approximately 75% or higher in an advanced course, or 85% or higher in an intermediate course).

Students who do not meet these guidelines may be required to complete an additional assessment task to demonstrate their readiness for the course.

The diagram below indicates possible pathways into Stage 6 Mathematics courses, based on students’ knowledge and understanding at the end of Stage 5.

Exclusions:

Students may not study any other Stage 6 Mathematics course in conjunction with Mathematics Standard 2. 

Course description:

The Mathematics Advanced course is designed for students who wish to develop a strong understanding of mathematical concepts and processes, and who may intend to pursue further study in mathematics or mathematics-related fields at university.

The course focuses on developing algebraic, graphical and analytical skills, as well as problem-solving, reasoning and mathematical communication.

Students considering tertiary study in courses requiring significant mathematics are encouraged to consult with the Careers Adviser and Head Teacher of Mathematics to ensure appropriate course selection.

Course content:

The Mathematics Advanced course is structured into topics that develop students’ understanding of key mathematical concepts and their application. These topics build progressively from Year 11 (Preliminary) to Year 12 (HSC), with an emphasis on algebraic techniques, graphical interpretation, and analytical reasoning.

Areas of study in the Preliminary (Year 11) course include:

• Functions

• Trigonometric Functions

• Calculus

• Exponential and Logarithmic Functions

• Statistical Analysis

Areas of study in the HSC (Year 12) course include:

• Functions

• Trigonometric Functions

• Calculus

• Financial Mathematics

• Statistical Analysis

Throughout the course, students develop skills in problem-solving, reasoning, and the communication of mathematical ideas.

Assessment procedures:

Preliminary Course (Year 11):
Student progress is assessed throughout the course using a range of tasks designed to evaluate understanding, reasoning, and problem-solving skills. These may include investigations, assignments, and formal examinations.

Assessment tasks are used to determine a student’s school-based assessment and provide feedback on their development across all areas of the course.

HSC Course (Year 12):
In addition to ongoing school-based assessment tasks, students will complete a written HSC examination at the end of the course. The examination is three hours in duration and assesses students’ understanding and application of the course content.

Extension courses are available for students studying Mathematics Advanced.