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The content of this course, which includes the whole of the (2 Unit) Mathematics course, is intended for students who have demonstrated a mastery of skills and achieved high results in the Pathway 5.3 Mathematics and who are interested in the study of further skills and ideas in Mathematics.
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.
Course description
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
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.
Course Structure
Course Structure
Year 11 course
Year 11 course
The Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics.
Topic: Functions
Topic: Functions
Further Work with Functions
Polynomials
Topic: Trigonometric Functions
Topic: Trigonometric Functions
Inverse Trigonometric Functions
Further Trigonometric Identities
Topic: Calculus
Topic: Calculus
Rates of Change
Topic: Combinatorics
Topic: Combinatorics
Working with Combinatorics
Year 12 course
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
Topic: Proof
Proof by Mathematical Induction
Topic: Vectors
Topic: Vectors
Introduction to Vectors
Topic: Trigonometric Functions
Topic: Trigonometric Functions
Trigonometric Equations
Topic: Calculus
Topic: Calculus
Further Calculus Skills
Applications of Calculus
Topic: Statistical Analysis
Topic: Statistical Analysis
The Binomial Distribution
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