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Preliminary · Year 11

Year 11 Mathematics Extension 1

Stretch beyond Advanced with the Year 11 Extension 1 topics — further functions, polynomials, inverse trigonometry, rates of change and combinatorics — taught for genuine depth in Blacktown.

At a glance
1–5 students per class
Small group, personal attention
1.5 hours per session
Weekly, term-based schedule
Blacktown Centre
In-person only
NESA syllabus aligned
Average tutor ATAR: 97.0

What we cover

Aligned to the NSW NESA Mathematics Extension 1 syllabus, building on Advanced. Extension 1 rewards depth and rigour — we focus on technique and harder problem-solving from the start.

Functions Prelim

Further Work with Functions & Polynomials

Inequalities, absolute value, parametric ideas, and the algebra and roots of polynomials (ME-F1, ME-F2).

Trigonometric Functions Prelim

Inverse & Further Trigonometry

Inverse trigonometric functions and further trigonometric identities and equations (ME-T1, ME-T2).

Calculus Prelim

Rates of Change

Related rates, exponential growth and decay, and applications of differentiation (ME-C1).

Combinatorics Prelim

Working with Combinatorics

Permutations, combinations, the pigeonhole principle and the binomial expansion (ME-A1).

Continuing to Year 12?
Our Year 12 Extension 1 class follows on directly.
View Year 12 Extension 1

Taught by someone who's done it.

Diva Parmar, 99.00 ATAR tutor at Lux Tuition

Diva Parmar

ATAR 99.00
Girraween High School

Bachelor of Actuarial Studies / Commerce, UNSW

Meet the whole team

The 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.

Real, steady progress
Most students report improvement after just a few sessions

Inside the system · every class, six stages

01 · Retrieval

Class review

Rapid retrieval practice of past concepts — active recall to beat the forgetting curve.

02 · Instruction

Explicit instruction

Theory broken into the smallest parts, taught in simple, consistent language.

03 · Guided

Guided practice

Worked examples together, tutor scaffolding fading as competence grows.

04 · Independent

Independent practice

Exam-style questions with instant feedback, so errors are caught before they stick.

05 · Test

Exit test

A short end-of-class check on retention; targeted homework where needed.

06 · Consolidate

Homework

Weekly consolidation that moves class learning into long-term memory.

Simple, transparent fees

$40/hour
$60 for a 1.5-hour class.
All class materials & workbooks
Weekly homework set & marked
Progress report sent each term
NESA syllabus-aligned content

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.

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Extension 1 · Lesson 11

Twelve pages on functions, before the answers.

Domain and range, linear and quadratic functions and the axis of symmetry — each topic taught, then worked at three difficulty levels, then practised.

  • Maths Extension 1 worksheet — functions, domain and range — page 1 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 2 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 3 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 4 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 5 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 6 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 7 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 8 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 9 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 10 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 11 of 12
  • Maths Extension 1 worksheet — functions, domain and range — page 12 of 12
12 pages

The worked answer key is not published.

Common questions

Do I need to take Advanced as well as Extension 1?

Yes — Extension 1 is studied alongside Mathematics Advanced. We tutor both and coordinate the content so they reinforce each other.

What makes Extension 1 different from Mathematics Advanced in Year 11?

Extension 1 adds rigorous content not in Advanced — polynomials and their roots, inverse trigonometric functions, related rates and combinatorics. The standard of reasoning expected is higher, and we teach the techniques and the logic behind them.

How is Combinatorics taught in Year 11 Extension 1?

We build from first principles — permutations and combinations as counting arguments — before applying them to harder problems. The pigeonhole principle and the binomial expansion are introduced once the foundational counting ideas are secure.

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 11 Maths Extension 1 class and we'll find a time that suits. No risk, no obligation — on us.

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