## Years 11 and 12 (Stage 6)

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**There are three different courses of Mathematics study within Year 11, namely**

- 2 Unit Preliminary Mathematics General
- 2 Unit “Calculus-based” Mathematics
- Mathematics Extension 1.

**For the HSC examinations, there are four courses of Mathematics that a student may study, namely**

- 2 Unit Mathematics General 1 Pathway
- 2 Unit Mathematics General 2 Pathway
- 2 Unit “Calculus-based” Mathematics
- Mathematics Extension 1 and Mathematics Extension 2.

**Preliminary Mathematics General**

This course is an applied Mathematics course and aims to show the practical applications of Mathematics to a wide variety of areas in everyday life. The Preliminary Mathematics General Course content is written in five Strands; Financial Mathematics, Measurement, Algebraic Modelling, Probability and Data Analysis and two Focus Studies. Basic mathematical skills will be consolidated in General Mathematics while more challenging concepts will often demonstrate to students the many real and practical applications of Mathematics that are used in the modern workplace and everyday life.

**HSC Mathematics General 1 Pathway**

HSC Mathematics General 1 pathway provides students with the opportunity to develop an understanding of and competence in further aspects of mathematics for concurrent HSC studies, such as in vocational education and training courses, other practically oriented courses, and some humanities courses. It also provides an appropriate mathematical background for students entering the workforce and/or undertaking further training. The HSC Mathematics General 1 course will be subject to internal assessment only, and not formal examination at the HSC. Also, the two units of study for the HSC Mathematics General 1 course cannot be counted in the 10 units required for the calculation of an ATAR.

**HSC Mathematics General 2 Pathway**

The Preliminary Mathematics General course content is written in five Strands and two Focus Studies. The HSC Mathematics General 2 course content is written in the same five Strands and includes a further two Focus Studies. The HSC Mathematics General 2 pathway provides students with the opportunity to develop an understanding of and competence in further aspects of mathematics for a range of concurrent HSC studies, such as in the life sciences, the humanities and business studies. The pathway also provides a strong foundation for students entering the workforce and/or undertaking further training and for university courses in the humanities, nursing and paramedical sciences.

**2 Unit “Calculus-based” Mathematics**

This course is a pure Mathematics course and requires students to possess highly advanced algebraic and curve sketching skills to succeed. The course quickly builds in intensity and difficulty with each new topic requiring an excellent understanding and recall of previous topics. Topics studied in this course include Calculus, Plane Geometry, Coordinate Geometry, Trigonometry, Probability and Series & Sequences. This course has very different content from that studied in the General Mathematics course. The course is a sufficient basis for further studies in mathematics as a minor discipline at tertiary level in support of courses such as the life sciences or commerce.

**Mathematics Extension 1**

This course is studied in conjunction with the 2 Unit “Calculus-based” Mathematics course to form 3 Units for the HSC. This course is intended for students who have demonstrated a very high level of competency in their study of 5.3 (Advanced) Mathematics during Years 9 and 10. It is primarily a Calculus-based course in which students need excellent algebraic and curve sketching skills to succeed. Within this course, many of the topic areas of the 2 Unit ‘Calculus-based’ course are further extended or explored in much greater detail. Students, who require substantial mathematics at a tertiary level, supporting the physical sciences, computer science or engineering, should undertake the Mathematics Extension 1 course or both the Mathematics Extension 1 and Mathematics Extension 2 courses.

**Mathematics Extension 2**

The course is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject. This course is only offered in Year 12 and is studied in conjunction with the HSC Mathematics Extension 1 course. It has a strong Calculus component, explores many of the topic areas of the Extension 1 Mathematics course in greater depth. It also includes the study of several new areas including Complex Numbers, Conics and Mechanics. This course provides a deeper and more extensive treatment of mathematical concepts than is offered in any other secondary Mathematics course.