Year 12 Maths Ext 1 & Ext 2
COURSE OVERVIEW
Our Year 12Mathematics Ext 2course covers all the topics prescribed by the NSW Board of Studies in the HSC courses in Advanced Mathematics, Extension 1 and Extension 2. The course exposes students to a range of mathematical skills and techniques to better equip them for the demands of the HSC examinations in Mathematics Extension 1 and Extension 2.
This course is designed for those students who have a special interest in Mathematics and have shown an aptitude for Mathematics. It is a demanding course and students must be prepared to spend time practising a wide variety of problems.
Students attempting this course must have completed most of 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, Geometrical Applications of Differentiation and Integration.
It is crucial that these students demonstrate a mastery of most of these topics and are able to apply their knowledge and skills to a variety of unfamiliar problems.
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 Preliminary course in Mathematics. 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 Tests at the end of each topic to assess student mastery of each topic. Students perform the test under strict exam conditions. This gives students an opportunity to practise exam techniques and assess their progress before 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: Complex Numbers, Mathematical Induction, Exponential & Logarithmic Functions, Trigonometric Functions, Inverse Trigonometric Functions
Term 2: Polynomials, Curve Sketching, Methods of Integration
Term 3: Conics, Volumes, Rates of Change, Physical Applications of Calculus
Term 4: Mechanics, Circular Motion, Binomial Theory, Probability, Harder Extension 1 Topics
