Accelerated
HSC Mathematics Advanced

Students will complete the Stage 5 Mathematics course (Year 9 and Year 10 Path: Adv, Ext) in Year 9. Year 9 have six periods of mandatory Mathematics lessons per cycle. This, combined with the Accelerated Mathematics elective (an additional four periods per cycle) will enable two years of content to be covered in one year. 

Students will begin the Stage 6 Mathematics Advanced course in Year 10, completing the Preliminary course in Year 10 and the HSC course and HSC examination at the end of Year 11. Students will also complete the Preliminary Mathematics Extension course in Year 11. In Year 12, students complete the HSC Mathematics Extension 1 and Extension 2 courses.

The study of Mathematics Advanced in Stage 6 provides opportunities for students to:

• develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely

• consider various applications of mathematics in a range of contemporary contexts through the use of mathematical modelling to solve problems related to their present and future needs

• develop ways of thinking in which problems are explored through observation, reflection and reasoning

• further their studies in disciplines in which mathematics and the skills that constitute thinking mathematically have an important role

• develop an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in a range of disciplines at the tertiary level.

In addition, the study of Mathematics Extension 1 in Stage 6 provides opportunities for students to:

• develop rigorous mathematical arguments and proofs, and to use mathematical models extensively

• develop their awareness of the interconnected nature of mathematics, its beauty and its functionality

• further their studies in mathematics or related disciplines and in which mathematics has a vital role at a tertiary level

Further, the study of Mathematics Extension 2 in Year 12 provides opportunities for students to:

• acquire knowledge, understanding and skills in relation to mathematical concepts that have applications in an increasing number of contexts

• gain an appropriate mathematical background for future pathways which are founded in mathematics and its applications

Year 11

• Working With Functions 

• Trigonometry and Measure of Angles

• Trigonometric Identities and Equations

• Introduction to Calculus

• Exponential & Logarithmic Functions

• Graph Transformations

• Probability and Data

HSC

• Further Graph Transformations and Modelling

• Sequences and Series

• Differential Calculus

• Integral Calculus 

• Applications of Calculus

• Random Variables

• Financial Mathematics

Year 11

• Further Work With Functions

• Polynomials

• Further Trigonometry

• Permutations and Combinations

• The Binomial Theorem

HSC

• Proof by Mathematical Induction

• Introduction to Vectors

• Inverse Trigonometric Functions

• Further Calculus Skills

• Further Applications of Calculus

• The Binomial Distribution and Sampling Distribution of the Mean

HSC

• The Nature of Proof

• Further Work with Vectors

• Introduction to Complex Numbers

• Further Integration

• Applications of Calculus to Mechanics

• A maximum of 20 students will be selected.

• Students will be selected based on their performance throughout Year 8 in assessment tasks, students’ work ethic, attitudes towards learning, and teacher professional judgement.

• Students must maintain a high level of performance in order to continue in the accelerated course. 

$0

This course will appear on your ROSA as Mathematics.