Mathematics Extension 1

Course Description

The content of this course, which includes an in-depth treatment of the whole of the Mathematics Advanced course, indicates that it is intended for students who have demonstrated a high mastery of the skills of Stage 5.3 Mathematics and 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 applicable to concurrent studies in science and finance and in the real world. 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 engineering sciences.

Main Topics Covered

Year 11 Course

• Further work with Functions

• Polynomials

• Inverse Trigonometric Functions

• Further Trigonometric Identities

• Rates of Change

• Working with Combinatorics

Year 12 Course

• Proof of Mathematical Induction

• Introduction to Vectors

• Trigonometric Equations

• Further Calculus Skills

• Applications of Calculus

• The Binomial Distribution

Assessment: HSC Course

Assessment in the HSC course is a comparison between a student’s progressive internal assessment result and their HSC Examination performance. The Year 11 and Mathematics Advanced courses are assumed knowledge and may also be assessed in the HSC examination.

External Assessment

A two hour written examination accompanied by a reference sheet.

Mathematics Extension 1 students will also be required to sit either the Mathematics Advanced examination paper OR the Mathematics Extension 2 examination, determined by their pattern of study.

Internal Assessment

Component A is concerned with assessing a student’s content knowledge by demonstrating understanding, fluency and communication.

Component B is focused on assessing a student’s ability to problem solve and apply mathematical reasoning and justification.

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