The study of Mathematics Extension 1 in Stage 6 enables students to extend their knowledge and understanding of what it means to work mathematically, develop their skills to reason logically, generalise and make connections, and enhance their understanding of how to communicate in a concise and systematic manner.
This course provides students with the opportunity to develop rigorous mathematical arguments and proofs and use mathematical models extensively. Students develop their awareness of the interconnected nature of mathematics, its beauty and its functionality.
The outcomes and content in the Mathematics Extension 1 Stage 6 course are written with the assumption that students studying this course will have engaged with all substrands of Stage 5.1, Stage 5.2 and Stage 5.3 . Content in the NSW Mathematics K–10 Syllabus up to and including this level is also implicit in this syllabus. In a number of cases where content from Stage 5 is included it is in the context of review for clarity and completeness.
The topics you cover in the Mathematics Extension course are:
YEAR 11: Further Work with Functions, Polynomials, Inverse Trigonometric Functions, Further Trigonometric Identities, Rates of Change and Combinatorics
YEAR 12: Trigonometric Functions, Applications of Calculus, Further Calculus Skills, The Binomial Distribution, Proof by Mathematical Induction and Vectors