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This course is a 1 unit extension work that builds on the Advanced Mathematics (2 unit) course. Students will study the Advanced Mathematics course concurrently with Extension 1 Mathematics. Extension 1 topics are listed below.
This course is a 1 unit extension work that builds on the Advanced Mathematics (2 unit) course. Students will study the Advanced Mathematics course concurrently with Extension 1 Mathematics. Extension 1 topics are listed below.
Preliminary Extension Content:
Preliminary Extension Content:
Functions (Polynomials), Trigonometric Functions (Inverse Trigonometry, Identities), rates of Change, Combinatorics
Functions (Polynomials), Trigonometric Functions (Inverse Trigonometry, Identities), rates of Change, Combinatorics
HSC Extension 1 Content:
HSC Extension 1 Content:
Proof by Mathematical Induction, Vectors, Trigonometric Equations, Further Calculus Skills and Applications, The Binomial Distribution
Proof by Mathematical Induction, Vectors, Trigonometric Equations, Further Calculus Skills and Applications, The Binomial Distribution
Who should do this course?
Who should do this course?
Students who have successfully engaged with the Mathematics 5.3 course in Years 9 & 10 and wish to study mathematics at university. Students must have strong algebraic skills, the ability to work on abstract concepts and write detailed mathematical proofs.
What will I need for this course
What will I need for this course
A scientific calculator, basic geometrical instruments and access to technology are necessary for the Mathematics Extension courses.
How is the work assessed
How is the work assessed
The progress of students will be assessed throughout the course by a range of tasks such as progress tests, open book tests, examinations, projects and/or assignments. Students will complete school assessments in both Advanced Mathematics and Extension 1 Mathematics.
What should I be able to do at the end of the course
What should I be able to do at the end of the course
Have confidence in their ability to do mathematics and enjoy seeing mathematics in the world around them;
Approach mathematics problems with a confident and positive attitude;
Develop an awareness of the usefulness of mathematics in the community and appreciate the contribution of mathematics to our society.
How will this subject help me in the future?
How will this subject help me in the future?
This course offers sound preparation for the student who wishes to engage in tertiary study in mathematics/science based courses and is highly recommended for such students. Students intending to undertake tertiary studies should check pre-requisites for specific courses. This course is designed for students who have acquired a high level of competence in the Mathematics Course 5.3 over Years 9/10.
What does this course cost?
No subject fees, but excursions where relevant.
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