There are three different courses of Mathematics study within Year 11, namely 2 Unit General Mathematics, 2 Unit "Calculus-based" Mathematics and Mathematics Extension 1.
Generally students remain in their chosen course throughout Years 11 and 12. Movement to a different course is possible, though only at definite points in the curriculum. Also, for any student changing course, a Catch-Up schedule of work must then be completed to fulfil Board of Studies requirements.
For the HSC examinations, there are four courses of Mathematics that a student may study, namely 2 Unit General Mathematics, 2 Unit “Calculus-based” Mathematics, Mathematics Extension 1 and Mathematics Extension 2.
For all courses, a student must have completed the Preliminary course work to an appropriate standard in order to be allowed to sit the corresponding HSC examination. Hence, by this late stage, students should remain in their chosen course throughout Year 12, as movement to a different course is neither recommended nor advisable. And if a student does wish to change course, then a significant Catch-Up schedule of all Preliminary work must be completed to fulfil Board of Studies requirements.
2 Unit General Mathematics
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 five topic strands are: Financial Mathematics, Measurement, Algebraic Modelling, Probability and Data Analysis. 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.
Students may not study any other Stage 6 Mathematics course in conjunction with 2 Unit General Mathematics.
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 is intended for students who have demonstrated sufficient competency in their study of Mathematics during Years 9 and 10. This course has very different content from that studied in the General Mathematics course.
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. At Barker College, we aim to complete the majority of both the Preliminary and HSC 2 Unit Mathematics courses, along with a few topics of the Preliminary Extension 1 course, during Year 11. The rest of the Mathematics Extension 1 course is completed during Year 12.
Mathematics Extension 2
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. It is strongly recommended that students who wish to study this course will have gained a scaled mark in excess of 80% in the Year 11 Mathematics Extension 1 course at Barker College.