Year 12 Mathematics Extension 1
Master the Year 12 Extension 1 course — proof by induction, vectors, further calculus and the binomial distribution — with rigorous teaching and past-paper drilling in Blacktown.
What we cover
Aligned to the NSW NESA HSC Mathematics Extension 1 syllabus. We teach the harder techniques to mastery and drill the exam-style questions where Extension 1 marks are won and lost.
Proof by Mathematical Induction
Constructing rigorous proofs by induction for series, divisibility and inequalities (ME-P1).
Introduction to Vectors
Vector operations, geometry and applications to projectile motion (ME-V1).
Trigonometric Equations
Solving trigonometric equations and modelling with trigonometric functions (ME-T3).
Further Calculus Skills & Applications
Integration techniques, differential equations and applications of calculus (ME-C2, ME-C3).
The Binomial Distribution
Bernoulli and binomial random variables, and the normal approximation (ME-S1).
Taught by someone who's done it.
Diva Parmar
ATAR 99.00Bachelor of Actuarial Studies / Commerce, UNSW
Meet the whole teamThe Lux system for academic success.
Top tutors, a system for learning, and a supportive environment.
Top tutors
Our tutors have all scored in the highest result band (Band 6 or E4) in the subject they teach.
A science-based system
Teaching materials and homework drawn from the notes of the highest achievers, used in a six-stage lesson sequence built on cognitive science.
A supportive environment
Classes of 1–5, so no one gets lost at the back. A motivational space where students learn alongside top-achieving tutors and earn rewards for their hard work.
Inside the system · every class, six stages
Class review
Rapid retrieval practice of past concepts — active recall to beat the forgetting curve.
Explicit instruction
Theory broken into the smallest parts, taught in simple, consistent language.
Guided practice
Worked examples together, tutor scaffolding fading as competence grows.
Independent practice
Exam-style questions with instant feedback, so errors are caught before they stick.
Exit test
A short end-of-class check on retention; targeted homework where needed.
Homework
Weekly consolidation that moves class learning into long-term memory.
Simple, transparent fees
Every new student's first enrolment is backed by our 30-day money-back guarantee: tell us or email us and we will refund you in full, no hoops to jump through. No enrolment fees, no lock-in contracts.
Common questions
Extension 1 proofs trip me up — can you help?
Yes. Proof by induction and vector proofs are very learnable with the right structure. We teach a reliable template and practise until the logic feels natural.
How are Trigonometric Equations approached in Year 12 Extension 1?
We solve equations involving multiple angles and compound expressions by finding all solutions in a given domain — a skill that requires both fluency with inverse trig and careful algebra. We practise until the method is reliable under exam conditions.
How do Vectors come up in the HSC Extension 1 exam?
Vector questions typically involve geometric proofs, addition and scalar multiplication, and applications to projectile motion. We teach the notation and operations systematically so students can move between geometric and algebraic forms without confusion.
How big are the classes?
Classes are kept small — between 1 and 5 students — so every student gets personal attention and their questions actually get answered each lesson. Prefer one-on-one? Lux One Sessions, our private 1:1 tutoring, are available on request.
Can I try a class before enrolling?
Yes. Your first trial class is completely free, with no payment details required. If it's not the right fit, there's no obligation.
Where are classes held?
In person at our Blacktown centre on Main Street — easily reached from Seven Hills, Quakers Hill, Woodcroft, Marayong, Kings Langley, Doonside, Lalor Park, Rooty Hill and Penrith.
Ready to get started?
Enquire about a free Year 12 Maths Extension 1 class and we'll find a time that suits. No risk, no obligation — on us.