Year 12 Maths Ext 1
Our Year 12 Mathematics Ext 1course covers all the topics prescribed by the NSW Board of Studies in both the Advanced Mathematics HSC Course and the Extension 1 course. The course exposes students to a range of mathematical skills and techniques to better equip them for the demands of the HSC examinations in Advanced Mathematics and Mathematics Extension 1.
Students attempting this course must have completed and acquired most of the concepts and skills developed in all the following Preliminary topics in the Year 11 Advanced and Mathematics Ext 1 courses: Basic Arithmetic and Algebra; Real Functions; Trigonometric Ratios; Linear Functions, Quadratic Polynomial and the Parabola, Plane Geometry and Tangent to a curve and the derivative of a function, Other Inequalities, Circle Geometry, Further Trigonometry, Parametric Representation, Polynomials as well as the HSC Advanced topics of Geometrical Applications of Differentiation.
During each lesson students develop:
an understanding of the fundamental mathematical ideas presented in each topic
mathematical skills to apply their knowledge and understanding to mathematical problems that are graded in level of difficulty
the ability to analyse concrete and abstract problems and select the appropriate methods to the solution
the ability to present logical solutions using appropriate strategies and providing sound reasoning to justify their conclusions
Weekly Theory Booklets with clear and explicit explanations of the concepts and skills addressed in each topic prescribed by the NSW Board of Studies HSC course in Advanced Mathematics and Ext 1. Routine and challenging examples illustrate the application to a wide variety of mathematical situations
Weekly Work Booklets provide students with further practice of the work covered in the theory lessons so as to increase students’ confidence in applying mathematical skills and techniques.
Regular Quizzes to monitor student understanding in each topic and diagnose any weaknesses that need to be addressed in the lessons.
Topic Test at the end of the term course to assess student mastery of all the topics covered in the term. Students perform the test under strict exam conditions. This gives students an opportunity to practise exam techniques and assess their progress in thebefore they sit for school exams and assessment tasks.
Timely Feedback on homework, weekly quizzes and topic tests
Extra Assistance is provided through weekly 'Workshops' to students who are identified as experiencing difficulty with the work covered in the Theory lessons or homework. Workshops are conducted by our tutors. There is no added charge for this service.
Additional help with their school work. Students can consult their teacher or the Mathematics Head Teacher for further assistance with school work or to clarify any conceptual difficulties
Term 1: Series & its Applications; Exponential & Logarithmic Functions
Term 2: Trigonometric Functions; Inverse Trigonometric Functions; Methods of Integration
Term 3: Binomial Theorem; Permutations & Combinations; Probability; Rates of Change
Term 4: Motion; HSC Preparation
