Year 12 Maths Advanced & Ext 1
Overview
Our Year 12Mathematics Ext 1course covers all the topics prescribed by the NSW Board of Studies in both the Advanced Mathematics HSC Course and 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 and Integration .
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
Student receive:
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
Students will learn in:
Term 1: Series & its Applications, Mathematical Induction, Exponential & Logarithmic Functions
Term 2: Trigonometric Functions, Inverse Trigonometric Functions, Methods of Integration, Parametric Representation
Term 3: Polynomial Functions, Binomial Theory, Probability, Rates of Change, Motion in a straight line
Term 4: Simple Harmonic Motion, Projectile Motion, Circle Geometry, Revision for HSC examinations
