Mathematics Extension 1

This course is for students who are very good at Mathematics. It includes difficult Calculus and is general a prerequisite for most Uni courses such as Medicine, Engineering, Maths degrees. 1 unit for each of Year 11 and YEAR 12 Board Developed Course.

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 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.

Exclusions:  Students may not study the Mathematics Standard Year 11 course in conjunction with the Mathematics Advanced Year 11 course, or either the Mathematics Standard 1 Year 12 course or the Mathematics Standard 2 Year 12 course in conjunction with the Mathematics Advanced Year 12 course.

Cost of Course: $20

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 and in which mathematics has a vital role at 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.

Year 11 course

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

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

The Mathematics Extension 1 Year 12 course content includes the Topics ‘Trigonometric Functions’ and ‘Calculus’ continued from Year 11 and introduces three different Topics.

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

ASSESSMENT: YEAR 12 Course only

External Assessment

All students studying Mathematics Advanced will sit for a YEAR 12 examination. The examination will consist of a written examination paper of two hours duration (plus five minutes reading time) with a total mark value of 70 marks. All questions in the examination are compulsory. NESA approved calculators, geometrical instruments and approved geometrical templates may be used.

Internal Assessment                                                                                                            Weighting

The objectives of the course are grouped into two components;

· Understanding, fluency and communication                                                        50%

· Problem solving, reasoning and justification                                                       50%

                                                                                                                                                   100%

The Year 12 formal school-based assessment program is to reflect the following requirements:

• a maximum of four assessment tasks

• the minimum weighting for an individual task is 10%

• the maximum weighting for an individual task is 40%

• one task may be a formal written examination with a maximum weighting of 30%

• one task must be an assignment or investigation-style with a weighting of 15–30%.

    Text:  Yes

Must have calculator 

Contact: Mr Dean Lappas-Head Teacher