# Introduction of HSC Maths Extension 2

The HSC Maths Extension 2 course is defined in the same terms as the HSC Maths Extension 1 Course in other subjects. Thus it offers a suitable preparation for study of the subject at tertiary level, as well as a deeper and more extensive treatment of certain topics than is offered in other Mathematics courses.

This syllabus is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject. It represents a distinctly high level in school mathematics involving the development of considerable manipulative skill and a high degree of understanding of the fundamental ideas of algebra and calculus. These topics are treated in some depth. Thus the course provides a sufficient basis for a wide range of useful applications of mathematics as well as an adequate foundation for the further study of the subject.

## Aims and Objectives

The Board of Secondary Education recognises that the aims and objectives of the syllabus may be achieved in a variety of ways and by the application of many different techniques. Success in the achievement of these aims and objectives is the concern of the Board which does not, however, either stipulate or evaluate specific teaching

methods. The general aim is to present mathematics as a living art which is intellectually exciting, aesthetically satisfying, and relevant to a great variety of practical situations.

Specific aims of the course are:

- To offer a program that will be of interest and value to students with the highest levels of mathematical ability at the stage of the Higher School Certificate and which will present some challenge to such students.
- To study useful and important mathematical ideas and techniques appropriate to these levels of ability.
- To develop both an understanding of these ideas and techniques and an ability to apply them to the study and solution of a wide variety of problems.
- To provide the mathematical background necessary for further studies in mathematics, and useful for concurrent study of subjects such as science, economics and industrial arts.

#### Circle Geometry

- Arcs, Angles and Chords
- Angle at the Circumference
- Chords and Centres
- Equidistant from the Centres
- Cut Internally and Externally
- Angles in the Same Segment
- Angle in a Semi-Circle
- Opposite Angles of a Cyclic Quadrilateral
- Exterior Angle of a Cyclic Quadrilateral
- Tangent to a Circle
- Alternate Segment
- Two Tangents to a Circle
- Secant from an External Point

#### Course Materials

#### Complex Numbers > Exam Preparation Papers

- Exam Preparation Paper of Complex Numbers 11
- Exam Preparation Paper of Complex Numbers 12
- Exam Preparation Paper of Complex Numbers 13
- Exam Preparation Paper of Complex Numbers 14
- Exam Preparation Paper of Complex Numbers 21
- Exam Preparation Paper of Complex Numbers 22
- Exam Preparation Paper of Complex Numbers 23
- Exam Preparation Paper of Complex Numbers 24