HSC Year 12 (Extension 1&2)

At HS Academy, our Year 12 Maths Extension 1 and 2 programme is crafted for Sydney’s most ambitious students, aiming for top results in the NSW Higher School Certificate (HSC). Aligned with the NSW Stage 6 HSC Syllabuses, we provide expert tutoring that builds on Preliminary foundations, pushing students to master advanced mathematical concepts and excel in both Extension 1 and Extension 2. Our experienced tutors offer personalised guidance, ensuring students develop the precision, problem-solving skills, and confidence needed for Band E4 results and future success in fields like mathematics, physics, or engineering. Discover how HS Academy can elevate your child’s HSC performance!

Math Extension 1:

Our Year 12 Maths Extension 1 programme follows the NSW Mathematics Extension 1 Stage 6 HSC Syllabus, building on Year 11 concepts to prepare students for outstanding HSC outcomes. Students advance their understanding of Calculus, mastering advanced integration techniques, such as substitution and integration by parts, with applications to areas, volumes, and differential equations. Trigonometric Functions extend to solving complex equations and modelling periodic phenomena with greater depth. The course introduces Vectors, covering operations, projections, and geometric applications, essential for physics and engineering. Statistical Analysis explores probability distributions, including binomial and normal distributions, and their applications in hypothesis testing. Through rigorous practice, past papers, and exam-focused strategies, we ensure students achieve the analytical depth and precision required for Band E4 results and a strong foundation for Extension 2.

Math Extension 2:

The Maths Extension 2 programme, designed for the most capable mathematicians, aligns with the NSW Mathematics Extension 2 Stage 6 HSC Syllabus, offering an unparalleled level of challenge and depth. Students explore Complex Numbers, mastering operations, polar form, and De Moivre’s theorem, with applications to solving polynomial equations. Proof advances with sophisticated techniques, including mathematical induction, contradiction, and combinatorial arguments, fostering rigorous logical thinking. Vectors extend to three-dimensional space, covering vector equations of lines and planes, and their intersections. Mechanics introduces concepts like resisted motion, projectiles, and simple harmonic motion, bridging mathematics and physics. Further Calculus delves into advanced integration techniques and applications, such as volumes of solids of revolution. With intensive problem-solving, past papers, and tailored feedback, we prepare students for Band E4 success and equip them for university-level mathematics and related disciplines.

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