Year 12 Extension 2 Maths

Year 12 Extension 2 Mathematics Tutoring in NSW & Online

Elite mathematics preparation for state rankings, 99+ ATARs, and the most competitive university courses

Extension 2 Mathematics isn’t just another subject – it’s where future mathematicians, engineers, and actuaries prove their capability. The difference between E3 and E4, between state rankings and mediocrity, lies in sophisticated problem-solving and flawless execution. Our program develops the advanced proof techniques, complex analysis skills, and mathematical creativity that separates the exceptional from the merely competent. With trials approaching, transform your Extension 2 performance while there’s still time.

Weekly Theory Lessons with Premium Booklets

Students receive expertly structured weekly lessons supported by comprehensive booklets. These materials are designed to help students become top performers by mastering core concepts step-by-step. We conduct regular assessments and provide live, interactive feedback to ensure every child progresses confidently.

Online Learning That Works.

Our online classes deliver the same (or better) results as face-to-face learning. No time wasted on travel, flexible scheduling, access to recordings, and consistent access to Sydney’s best tutors—right from your home.

Expert Teachers Who Know the NSW Syllabus

Our tutors are handpicked specialists who not only understand the syllabus but also know how to teach it in a way that clicks. Their experience and personalised approach make all the difference.

Term-by-Term Outline

Complex Numbers, Polynomials & Trigonometric Proofs (Oct–Dec)

- This term focuses on the fundamental topics that underpin Extension 2 Mathematics. Students will explore complex numbers, advanced algebra, and the beginnings of formal mathematical proof.
  - Complex numbers: Cartesian, polar form, modulus-argument, De Moivre’s Theorem
  - Polynomials and inequalities: factor and remainder theorems, bounds, and algebraic techniques
  - Trigonometric identities: compound angles, multiple angle formulas
  - Introductory proof methods: logical reasoning, algebraic proofs
  Outcome:
  Students will build strong conceptual foundations and fluency in algebraic and trigonometric structures, enabling deeper exploration of advanced topics with confidence.

Calculus, Integration & Parametric Motion (Feb–Apr)

In Term 2, students engage with more abstract forms of calculus and their applications in kinematics. This includes integration techniques and the use of parametric equations to model motion.

Advanced differentiation: implicit differentiation, higher-order derivatives
Integration techniques: by parts, substitution, partial fractions
Parametric equations: curve sketching and calculus applications
Applications to motion: displacement, velocity, acceleration in parametric form

Outcome:
Students will develop the ability to manipulate complex calculus problems and apply mathematical techniques to model real-world physical motion.

Mathematical Induction, Recurrence & Mechanics (Apr–Jun)

This term consolidates students’ ability to construct and communicate formal proofs while expanding into mechanics, particularly motion under non-uniform forces.

Mathematical induction: standard, divisibility, recurrence relations
Recurrence and iteration: recursive sequences and closed forms
Mechanics: simple harmonic motion, resisted motion, and differential equations
Proof and reasoning under timed conditions

Outcome:
Students will refine their analytical and proof-writing skills while building deep understanding of dynamic systems through mathematical modelling.

Exam Mastery – Extension 2 Revision & Simulation (Jul–Sept)

The final term is dedicated to targeted revision, refinement of techniques, and high-performance exam preparation.

Exam simulations: HSC-style questions under strict timing
Past paper drills: identifying patterns and question types
Feedback loops: one-on-one review and performance tracking
Time management and question-selection strategy

Outcome:
Students will enter the HSC with clarity, confidence, and fluency across all Extension 2 topics, ready to maximise their performance under exam conditions.

What's Included

Weekly Lessons with Expertly Designed Theory Booklets

Each week, students are guided through structured theory lessons supported by high-quality, syllabus-aligned booklets. These booklets are designed to develop deep understanding and help students become top performers.

Specialist Tutors, Not Just Generalists

Our teachers are subject-matter experts who know how to break down complex topics and explain them clearly. They focus on building your child’s confidence and capability week by week.

Progress Monitoring with Individual Feedback

Our tutors continuously monitor student progress in class and through lesson work, offering personalised feedback and support where it’s needed most.

Small Class Sizes for Real Attention

Our group classes are capped to 5 students per class to ensure students receive the right level of support and engagement. Every student is seen, heard, and supported.

Expert Academic Support for Parents

We keep parents in the loop with regular updates and offer guidance on how to support your child’s learning journey at home and beyond.

First Lesson Money-Back Guarantee

Try AstraX with peace of mind—if you're not satisfied after the first lesson, we'll refund you. No stress, no risk

Pricing

$ $798

per term (upfront payment with 5% discount)

Maximum of 5 students per class for optimal attention
NSW syllabus-aligned content, covering key focus areas
Theory and workbook
Free trial session available

$ $1,254

per term (upfront payment with 5% discount)

Complete, personalized attention for each student
NSW syllabus-aligned content
Tailored lesson plans for accelerated learning
Theory and workbook
Free trial session to experience our approach

Ready to See the Difference? Book a Trial Lesson

Experience our proven teaching methodology with a complimentary trial lesson designed for your child's academic needs.