Mathematics Extension 1

Contact person: Mr Chittick

Units: 1 unit

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 (core), and Stage 5 (core/Path), including the optional substrands: Polynomials, Logarithms, Functions and Other Graphs, Circle Geometry. Students are required to make a formal application to this course in Term 3 of Year 10. An interview process may also be carried out. Students must understand the commitment needed to ensure success in this course, as lessons are often held before and after normal school hours.

The diagram below indicates possible pathways of learning into the Stage 6 Mathematics course dependent on the student’s knowledge and level of understanding of Stage 5 Mathematics.

Exclusions:

Students may not study any other Stage 6 Mathematics course in conjunction with Mathematics Standard 2.

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.

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 and 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.

Course content:

The Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics. Additionally, Extension 1 Year 12 course content is comprised of four Topics, with the Topics divided into Subtopics.

Areas of study in the Preliminary course:

Functions
Trigonometric Functions
Calculus
Combinatorics

Areas of study in the HSC course:

Proofs
Vectors
Trigonometric Functions
Calculus
Statistical Analysis

Course requirements:

A scientific calculator is essential for any student studying a Mathematics course. A nominal fee is charged to cover the purchase of an online Mathematical revision and practise program.

Assessment procedures:

Preliminary course

The progress of students will be assessed throughout the course by a range of tasks such as open book tests, examination, projects and/or assignments with a final HSC examination being sat. A number of tasks will be used to determine a student's school-based assessment.

HSC course

In addition to the assessment tasks across all of the content of the course there are 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.

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