Extension 1 Maths - AstraX Education

Year 11 Advanced Mathematics Tutoring in NSW & Online

Secure your position in Advanced Mathematics and build foundations for Band 6 success

Year 11 Advanced Mathematics determines whether students thrive or merely survive in Year 12. Those who master calculus fundamentals and trigonometric applications now achieve Band 6s later. Those who struggle face two years of declining confidence and marks. Our program ensures students build rock-solid foundations in differentiation, integration, and advanced trigonometry while developing the problem-solving sophistication universities demand. Don’t let Year 11 struggles become permanent limitations.

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

Algebra, Trigonometry & Function Theory (Oct–Dec)

- This term lays the foundation for advanced mathematics by revisiting and extending core algebraic skills, trigonometric identities, and function transformations.
  - Expanding and solving quadratic, polynomial, and rational equations
  - Applying advanced trigonometric identities and equations
  - Exploring functions, including transformations, inverses, and composite functions
  Outcome:
  Students will develop a strong understanding of algebraic manipulation, trigonometric relationships, and foundational function theory—key prerequisites for Extension 1 success.

Calculus, Exponentials & Logarithms (Feb–Apr)

In Term 2, students are introduced to calculus, with a focus on differentiation techniques and applications. They also study exponential and logarithmic functions in depth.
- Mastering differentiation rules: power, product, quotient, and chain rule
- Exploring exponential and logarithmic functions and their graphs
- Applying derivatives to real-world problems such as rates of change, motion, and optimisation
Outcome:
Students will build fluency in differentiation and gain insight into how calculus connects to growth, decay, and physical systems.

Integration, Motion & Composite Graphs (Apr–Jun)

This term develops students’ understanding of integration and introduces applications in kinematics and function analysis.

Learning indefinite and definite integration
Solving motion problems involving velocity, acceleration, and displacement
Interpreting and sketching composite and piecewise graphs
Applying calculus techniques in area and displacement problems

Outcome:
Students will be able to apply integration techniques to motion and graphical contexts, developing a well-rounded understanding of applied mathematics.

Probability, Distributions & Exam Readiness (Jul–Sept)

The final term builds on students’ statistical understanding while preparing them for assessments through targeted revision and exam-style tasks.

Exploring advanced probability concepts, including conditional probability and Bayes’ Theorem
Understanding discrete distributions, including the binomial and geometric models
Completing HSC-style exam questions, past papers, and timed assessments

Outcome:
Students will refine their exam technique, solidify core Extension 1 concepts, and be fully prepared for Year 12 Extension 1 & 2 mathematics.

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.