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This course develops deep mathematical insight and analytical skills by extending studentsÆ knowledge of algebra, calculus, vectors, and probability. Aligned with the NSW Stage 6 syllabus, it prepares students for high-level mathematics in tertiary studies and cultivates structured reasoning, mathematical modelling, and precision in communication. It is a continuation from the Year 11 Math Extension 1.
Book LessonReports are sent via email, by the end of term.
Reports are included in the price below. Also note the reports sent are more comprehensive.
89%, +12% Term 3
82%, +7% Term 3
The student has shown steady improvement across the terms, in Math Extension 1. Homework completion is consistent with a few late submissions. Overall, excellent progress!
Term 1 focuses on advanced trigonometry, beginning with solving complex trigonometric equations using auxiliary angle formulas and techniques for handling quadratic trigonometric expressions. Students learn to manipulate identities and solve problems involving compound and multiple angles. This is followed by proof by mathematical induction, where students construct rigorous arguments across sequences and inequalities, strengthening their logical reasoning skills.
Term 2 covers vectors in two dimensions, including addition, scalar multiplication, dot product, and their applications to geometric problems and motion. Students then explore calculus applications, particularly curve sketching, optimisation, and interpreting motion through derivatives and integrals in context.
Term 3 introduces differential equations, focusing on solving first-order equations and applying them to real-world models like exponential growth, decay, and motion. Students then investigate motion, forces, and projectiles, combining vector methods and calculus to model and analyse physical systems, including vertical and horizontal motion with variable forces.
In Term 4, students focus on the binomial distribution, learning to model real-world scenarios where there are two possible outcomes. They apply the binomial model to solve probability problems and gain a deep understanding of its applications in various contexts. The term also includes structured HSC preparation, with a comprehensive review of all major topics covered throughout the year. Students engage in practice with HSC-style questions and refine their problem-solving strategies, ensuring they are fully prepared for the final exam.