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Our Year 11 Mathematics Extension 1 program covers all relevant outcomes as outlined in the NSW Syllabus. As part of our program, students develop algebraic and geometric strategies to solve inequalities. Inverse function and parametric form of a function is defined and applied to solve a range of questions. Students also learn algebraic methods to solve equations of polynomials. Inverse trigonometric functions are examined including their properties and graphs which are applied to a variety of abstract and practical situations. Students gain the necessary practice to develop mastery over complex trigonometric identities. In addition, our program introduces the application of calculus to the physical world including exponential growth and decay and related rates of change. A new area of study, Combinatorics is introduced. Students build skills to solve both permutation and combination questions. This is extended into binomial expansion and Pascal's triangle.

Our Year 11 Mathematics Standard program covers all relevant outcomes as outlined in the NSW Syllabus. As part of our program, students explore the application of linear relationships and measurement to problems with real-world application. Students also develop an awareness of the relationships between different countries through a study of Earth geometry. An investigation into flat-rate interest, income tax and budgets helps develop a student's ability to make informed financial decisions and to manage personal financial resources effectively. In addition, our program further explores Probability and Statistics including the introduction of new practices.

Our Year 12 Mathematics Advanced program covers all relevant outcomes as outlined in the NSW Syllabus. Students develop graphical techniques such as transformations of various functions including trigonometric functions. Students also learn further calculus techniques which help to describe the behaviour of graphs and functions as well as solve optimisation problems. The concept of the anti-derivative is examined and developed into methods for finding the area under a curve. In addition, students learn to select appropriate techniques when working with arithmetic and geometric sequences and their application to financial situations. We review bivariate data analysis methods and investigate continuous random variables and the normal distribution.

Our Year 12 Mathematics Extension 1 program addresses all relevant outcomes as outlined in the NSW Syllabus. Students build mastery of the technique of proof by mathematical induction to prove results. Students also explore vectors and their application to real-world problems. They achieve mastery of advanced methods to solve trigonometric equations through practice. Students further develop their calculus techniques to determine volumes of solids of revolution. The Binomial Distribution is also investigated as part of our program.

Ashleigh, English student, Sydney NSW

Avleen, English student, Sydney NSW

Oadin, English student, Sydney NSW

Sathmi, English student, Sydney NSW