Mathematics Extension

Course No: 11250 Ext 1 Year 11, 15250 Ext 1 Year 12, 15260 Ext 2

Course Description

Mathematics Extension 1 is focused on enabling students to develop a thorough understanding of, and competence in, further aspects of mathematics. The course provides opportunities to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively.

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.

The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course, and therefore also the Mathematics Advanced Year 12 course.

All students studying the Mathematics Extension 1 course will sit for an HSC examination.

What Students Learn

The study of Mathematics Extension 1 in Stage 6:

Enables students to develop thorough knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
Provides opportunities for students to develop rigorous mathematical arguments and proofs, and to use mathematical models extensively
Provides opportunities for students to develop their awareness of the interconnected nature of mathematics, its beauty and its functionality
Provides a basis for progression to further study in mathematics or related disciplines in which mathematics has a vital role at a tertiary level
Provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in such areas as science, engineering, finance and economics.

Who should I contact for further questions?

You can contact Ms Doyle (Head of Mathematics) for more information. If your questions specifically relate to Mathematics Extension 2, which is studied during Year 12, then you could also speak with Mr Nightingale.

Is Mathematics Extension hard?

Yes, the course is quite challenging. However, it is also very rewarding for those who are willing to put in the extra time outside of the classroom.

I am studying Mathematics 5.2 in Year 10, should I be considering Mathematics Extension?

No, you should not. Mathematics Extension presumes knowledge from the Mathematics 5.3 course in Year 10 and students who have not completed this course in Year 10 will struggle to succeed at this level.

How much time should I expect to put into this subject outside of school?

For success in Mathematics Extension, students would need to aim to complete 45 minutes of homework each night or approximately 4 hours a week. Students who are deterred by this amount of homework should consider whether or not this is the right subject for them.

How is WCCS supporting Mathematics course choices?

From 2020, WCCS will be placing students in Mathematics courses based on their performance, with a particular focus on their Year 10 results. If students wish to select challenging courses like Mathematics Extension, then they are reminded that they need to demonstrate their capabilities in Year 10 assessments. Students who fail to demonstrate their capacity for Mathematics Extension will be required to do so for the remainder of Year 10 if they would like to be considered at the end of the year. In this way we are seeking to motivate students to work to their personal best and demonstrate readiness for this challenging course.

Student Testimonial

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Important NESA Information

Mathematics Extension 1

1 unit in each of Year 11 (Year 11 Mathematics Extension) and Year 12

Board Developed Course

Exclusions: Mathematics Standard 1 or Mathematics Standard 2

Prerequisites

The Mathematics Extension 1 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the NSW Mathematics Years 7–10 Syllabus and, in particular, the content and outcomes of all substrands of Stage 5.1, Stage 5.2 and Stage 5.3, including the optional substrands:

Polynomials, Logarithms, Functions and Other Graphs, Circle Geometry.

Course Description

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.
The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course, and therefore also the Mathematics Advanced Year 12 course.
All students studying the Mathematics Extension 1 course will sit for an HSC examination.

Main Topics Covered

Year 11 Course

Topic: Functions

Further Work with Functions
Polynomials

Topic: Trigonometric Functions

Inverse Trigonometric Functions
Further Trigonometric Identities

Topic: Calculus

Rates of Change

Topic: Combinatorics

Working with Combinatorics

Year 12 Course

Topic: Proof

Proof by Mathematical Induction

Topic: Vectors

Introduction to Vectors

Topic: Trigonometric Functions

Trigonometric Equations

Topic: Calculus

Further Calculus Skills
Applications of Calculus

Topic: Statistical Analysis

The Binomial Distribution

Mathematics Extension 2

1 unit for Year 12

Board Developed Course

The course is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject.

Exclusions: Mathematics Standard 1 or Mathematics Standard 2

Prerequisites

The Mathematics Extension 2 Year 12 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Advanced Year 11 course and the Mathematics Extension 1 Year 11 course. The Mathematics Extension 2 Year 12 course has also been constructed on the assumption that students are concurrently studying the Mathematics Advanced course and the Mathematics Extension 1 Year 12 course.

Course Description

The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course and the Mathematics Advanced Year 12 course.
The Stage 6 Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2 courses form a continuum.
All students studying the Mathematics Extension 2 course will sit for an HSC examination.

Main Topics Covered

Topic: Proof

The Nature of Proof
Further Proof by Mathematical Induction

Topic: Vectors

Further Work with Vectors

Topic: Complex Numbers

Introduction to Complex Numbers
Using Complex Numbers

Topic: Calculus

Further Integration

Topic: Mechanics

Applications of Calculus to Mechanics

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