3 units in each of Preliminary and HSC

 Board Developed Course

 Prerequisites:       The course is constructed on the assumption that students have achieved the outcomes in the core of the Advanced Mathematics course for the School Certificate, along with the recommended options.

 Course Description: The content of this course, which includes the whole of the Mathematics course, and its depth of treatment, 

 indicate that it is intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and who are interested  In the study of further skills and ideas in mathematics. The course is intended to give these students a thorough understanding of and

 competence in aspects of mathematics, including many which are applicable to the real world. It has general educational merit and is

 also useful for concurrent studies of science, industrial arts and commerce. The course is a recommended minimum basis for further 

 studies in mathematics as a major discipline at a tertiary level and for the study of mathematics in support of the physical and      B  

 engineering sciences. Although the Mathematics Extension 1 course is sufficient for these purposes, students of outstanding     

 mathematical ability should consider undertaking the Mathematics Extension 2 course.

 Main Topics Covered:

 Preliminary Course

·         Other inequalities

·         Further geometry

·         Further trigonometry

·         Angles between two lines

·         Internal and external division of lines into given ratios

·         Parametric representation

·         Permutations and combinations

·         Polynomials

·         Harder applications of the Preliminary Mathematics course

HSC Course

·         Methods of integration

·         Primitive of sin²x and cos ²x

·         Equation

 External Assessment

Internal Assessment

 Two written examination papers. One paper is identical to the 

 paper of three hours duration for the Mathematics course. The

 other paper, of two hours duration, is based on the Mathematics 

 Extension 1 course and consists of seven questions of equal

 value.

 No more than the equivalent of two questions will be based on

 the Preliminary course. Questions from the Preliminary course 

 will be short and represent a minor part of a total question. Marks

 can be awarded for demonstration of knowledge and skills from

 the Preliminary course (or earlier) when required for questions on

 the HSC course. That is, questions based on the Preliminary

 course can be asked when they lead in to questions based on

 topics from the HSC course.  Marks from these lead-in questions

 will not be counted in the two-question allowance from the

 Preliminary course.

 Board-approved calculators, geometrical instruments and

 approved geometrical templates may be used.

The objectives of the course are grouped into two components, Component A and Component B, for assessment purposes. Component A (70%) is primarily concerned with the student’s knowledge, understanding and skills developed in each Content Area listed in the syllabus. Component B (30%) is primarily concerned with the student’s reasoning, interpretative, explanatory and communicative abilities. A number of tasks will be used to determine a student’s school-based assessment and any one task may contribute to measuring attainment of both components.

School assessment for the Mathematics Extension 1 course can be based on the whole of the course (Preliminary and HSC courses). Assessment for this course should not begin until the school program of HSC assessments for other subjects begins (this is usually no earlier than Term 4 of Year 11).