Mathematics Extension 1

1 units for each of Year 11 & Year 12 

Board Developed Category A

Exclusions: Students may not study the Mathematics Extension 1 course in conjunction with the Mathematics Standard 1 or the Mathematics Standard 2 course

Course Costs: $5.00 (plus $15.00 online access)

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.

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

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

Particular Course Requirements: NIL

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.