Mathematics Extension 1
1 units for each of Preliminary and HSC Board Developed Course
Course Description:
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 sub strands of Stage 5.1, Stage 5.2 and Stage 5.3, including the optional sub strands:
Polynomials
Logarithms
Functions and Other Graphs
Circle Geometry.
Exclusions: Students may not study the Mathematics Extension 1 course in conjunction with the Mathematics Standard 1 or the Mathematics Standard 2 course
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
Main Topics Covered:
The Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics. The Mathematics Extension 1 Year 12 course content includes the Topics Trigonometric Functions and Calculus continued from Year 11 and introduces three different Topics. The Topics and Subtopics are:
Year 11
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
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
School Fees: Nil