Year 12 Extension 1 Maths

Year 12 Extension 1 Mathematics Tutoring in NSW & Online

Secure the E4 results that unlock engineering, actuarial studies, and competitive course entry

Year 12 Extension 1 Mathematics determines access to Australia’s most prestigious degrees. The difference between E3 and E4 can mean missing out on your dream course despite a strong ATAR. With trials fast approaching, students need sophisticated problem-solving skills, proof-writing precision, and the strategic thinking that conquers challenging questions. Our program transforms Extension 1 from a struggle into a strength, ensuring the high marks your future demands.

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

Trigonometry, Inverse Functions & Vectors (Oct–Dec)

This term focuses on building the foundational knowledge required for advanced Extension 1 topics. Students will explore advanced trigonometric applications, inverse functions, and an introduction to parametric equations and vectors.

Trigonometric functions: identities, graphs, and equations
Inverse functions: restrictions, domains, and graphical interpretation
Vectors: introduction to vector algebra, magnitude, and direction
Parametric equations: defining curves and motion in parametric form

Outcome:
Students will establish a strong grasp of advanced trigonometry and function theory while developing early competency in vectors and parametric representations

Differentiation, Integration & Optimisation (Feb–Apr)

This term hones students’ calculus skills, ensuring fluency in differentiation and integration techniques, while exploring real-world applications in motion and optimisation.

Advanced differentiation: product, quotient, and chain rules
Integration: definite and indefinite integrals, substitution methods
Related rates and calculus-based motion problems
Optimisation: maxima, minima, and real-world applications

Outcome:
Students will gain deep calculus proficiency and learn to apply differentiation and integration in dynamic, real-world problem-solving scenarios.

Induction, Probability & Combinatorics (Apr–Jun)

Students engage in high-order thinking this term, tackling advanced algebraic and probabilistic concepts. These are some of the most challenging and rewarding areas of the Extension 1 course.

Mathematical induction: proofs involving sequences and divisibility
Combinatorics: permutations, combinations, and counting principles
Binomial expansion: general term, symmetrical properties, and applications
Advanced probability: conditional probability, two-stage problems

Outcome:
Students will be equipped to solve complex and abstract problems through structured reasoning and powerful algebraic techniques.

HSC Exam Preparation & Mastery (Jul–Sept)

The final term focuses on strategic revision, refining accuracy and speed under pressure, and ensuring full readiness for the HSC exams.

Full-length mock exams under timed conditions
Targeted revision based on performance and individual weaknesses
Exam techniques: question selection, time management, and structured responses
Feedback loops for continuous improvement and performance tracking

Outcome:
Students will enter the HSC exams confident, prepared, and fluent across all Extension 1 topics, ready to maximise marks under pressure.

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.