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Science guides to help you get ahead
Science guides to help you get ahead
Our Year 12 Maths Extension 2 tutoring resources are designed by subject matter experts and cover all aspects of the new NSW Maths syllabus. Get ahead with 250+ pages of content, 100+ pages exam-style Workbook, quizzes, and a topic test for each module.
Matrix teachers are experts in their field with real teaching experience. Develop in-depth knowledge and understanding with our experienced teachers by applying our proven methods for Maths.
Step 1
Theory
Step 2
Application
Step 3
Guided Examples
Step 4
In-Class Practice
Step 5
Homework
Step 6
Videos for Revision
Step 7
Quizzes & Feedback
Discover and address gaps in your learning timely through weekly homework completion and quizzes.
See how our flexible learning methods can cater for your learning needs.
Overview
Holiday Course overview
Overview
Holiday Course overview
Audience
Who it's for
Audience
Who it's for
Benefits
What you'll gain
Benefits
What you'll gain
Content
What's covered
Content
What's covered
Program
How it works
Program
How it works
Overview
The Matrix Year 12 Mathematics Extension 2 Holiday Accelerated Course is an intensive 9-day program designed for the most advanced HSC Mathematics students. In just two weeks, students complete a full term’s content ahead of school, gaining a clear academic advantage and reducing pressure during the term.
Through daily 3-hour lessons, students master advanced topics including complex numbers, 3D vectors, harder integration, recurrence relations, and challenging motion problems. Each lesson combines expert teaching, step-by-step modelling, and exam-style practice to sharpen problem-solving skills and exam technique.
By the end of the program, students develop a deep understanding of Extension 2 concepts, strengthen their ability to tackle multi-step, high-mark exam questions, and build the confidence and momentum needed to excel in their Trials and the HSC exam.
Course Timeline
Period | Grade at School | Topic Name |
---|---|---|
October | Year 11 | Complex Numbers, Proofs in Number Theory |
January | Year 12 | 3D Vectors, Harder Proofs, Integration |
April | Year 12 | Recurrence Relations, Motions |
July | Year 12 | HSC Exams Mark Booster – Mastering Q15 and 16 |
Course Format
Learning Goal
Students will:
What’s Included
1. 9 Daily Lessons
Intensive 3-hour sessions covering an entire Extension 2 module ahead of school.
2. NSW Syllabus-Aligned Theory Book & Workbook
Comprehensive resources with worked examples, extension problems, and exam-style tasks.
3. Daily In-Class Practice
Guided exercises and multi-step questions with full solutions to build fluency and rigour.
4. Matrix Learning Portal Access
Online resources, theory videos, and practice exams for ongoing study support.
5. Instant Academic Support with Ask Max
On-demand AI study assistant available anytime for help outside class.
6. Small Class Sizes (Capped at 15)
Ensures personalised attention, active participation, and targeted teacher feedback.
7. 1:1 Workshop (During the Term)
Free individual support session after the Holiday Course for consolidation, homework help, or exam preparation.
Audience
The Year 12 Mathematics Extension 2 Holiday Accelerated Course is designed for:
Students who:
Parents who:
Benefits
1. Early Mastery of Extension 2 Topics
Complex Numbers, Proofs, Vectors, Advanced Calculus, Motions, and Recurrence Relations taught ahead of school for a decisive head start.
2. Advanced Problem-Solving Skills
Step-by-step strategies for tackling non-routine, multi-step Extension 2 questions, including Q15 and Q16 style exam problems.
3. Exam Readiness
Daily practice with past HSC-style questions, structured feedback, and end-of-course assessments build speed, accuracy, and confidence under exam conditions.
4. Clear Head Start for School Assessments
Completing the term’s content before school begins allows more time during the term for revision, past papers, and focus on other HSC subjects.
5. Consistent Progress and Confidence
Structured daily lessons, targeted practice, and individualised support ensure students steadily strengthen knowledge, sharpen technique, and build self-assurance.
Content
October – Complex Numbers, Proofs in Number Theory
Day 1: Complex Numbers 1
Day 2: Complex Numbers 2
Day 3: Complex Numbers 3
Day 4: Complex Numbers 4
Day 5: Complex Numbers 5
Weekend Break
Day 6: Complex Numbers and Polynomials
Day 7: Introduction to Proofs – Statements and Implications
Day 8: Proofs in Number Theory
Day 9: Review and Topic Test
January – 3D Vectors, Harder Proofs, Integration
Day 1: Vectors 1
Day 2: Vectors 2
Day 3: Vectors 3
Day 4: Vectors 4
Day 5: Proofs Involving Inequalities
Weekend Break
Day 6: Further Proofs by Mathematical Induction
Day 7: Further Integration 1
Day 8: Further Integration 2
Day 9: Review and Topic Test
April – Recurrence Relations and Motions
Day 1: Integration by Parts
Day 2: Properties of Integrals and Recurrence Relations
Day 3: Harder Linear Motions
Day 4: Simple Harmonic Motion – Definition and Properties
Day 5: Simple Harmonic Motion – Problem Solving
Weekend Break
Day 6: Motions with Resistance
Day 7: Harder Projectile Motion
Day 8: Harder Motion Problems
Day 9: Review and Topic Test
July – HSC Exams Mark Booster: Mastering Q15 and 16
Day 1: Review and Harder Problems – Complex Numbers
Day 2: Review and Harder Problems – Proofs
Day 3: Review and Harder Problems – Vectors
Day 4: Review and Harder Problems – Integration
Day 5: Review and Harder Problems – Motions
Weekend Break
Day 6: Harder Exam Questions 1
Day 7: Harder Exam Questions 2
Day 8: Harder Exam Questions 3
Day 9: Mock HSC Exam
Program
Structured Acceleration
In just 9 days, students complete an entire term’s Extension 2 syllabus ahead of school. This fast-paced program provides a clear academic edge, reduces in-term stress, and allows more time for revision and exam preparation.
Teaching Methods
Every lesson is delivered by expert Matrix teachers using a high-impact approach designed for advanced learners:
Content Mix
Lessons are carefully sequenced to teach Extension 2 topics in depth before school, with a strong focus on exam application. Students learn how to set out solutions clearly, apply rigorous proof techniques, and handle the most challenging HSC-level questions.
9-Day Sequencing
The course runs across 9 consecutive days (with a weekend break in the middle), maintaining learning momentum while allowing time for rest and review. By the end of the program, students will have covered a full module of Extension 2, practiced exam-style problems daily, and built confidence for the term ahead.
Matrix teachers have the vast classroom teaching experience to clearly explain complex concepts.
Get 250+ page new-edition Theory Book written by expert teachers designed to help students develop in-depth knowledge and understanding in Year 12 Maths Extension 2.
Our small classes are arranged in a U-shape, creating an interactive and engaging learning environment.
All Matrix Campuses are designed for student comfort and engagement. Make learning enjoyable with our comfortable and professional learning environment.
Online video lessons are conducted by experienced teachers who take you through the Matrix Theory Book step-by-step.
Track your child’s progress and achievement through Daily Homework completion and Quizzes.
Assess your exam-readiness with Topic Tests that tests your Maths skills with real exam-style questions.
Get year round access to Theory Lesson Videos, Online Practice Questions, and track your progress easily via the Matrix LMS platform.
Want advice on your child’s learning? Get exclusive access to academic advice, and invitations to events and seminars from the Matrix academic team.
All on campus courses come with our First Lesson Money Back Guarantee.
Chatswood
29 Sep - 10 Oct |
1:00pm - 4:00pm |
Epping
29 Sep - 10 Oct |
9:00am - 12:00pm |
Parramatta
29 Sep - 10 Oct |
9:00am - 12:00pm |
Strathfield
29 Sep - 10 Oct |
9:00am - 12:00pm |
Overview
Term Course overview
Overview
Term Course overview
Audience
Who it's for
Audience
Who it's for
Program
What's covered
Program
What's covered
Benefits
What you'll gain
Benefits
What you'll gain
Approach
How it works
Approach
How it works
Overview
The Matrix Year 12 Mathematics Extension 2 Term Course is a structured 9-week program designed for students tackling the highest level of HSC Mathematics. Each weekly 3-hour lesson follows the NSW syllabus while providing the depth, clarity, and exam focus required for success.
Students build mastery of advanced topics including complex numbers, vectors, recurrence relations, integration techniques, and motion. Lessons combine clear explanations with guided practice on challenging Extension 2 questions in the same style of problems found in the hardest sections of HSC exams.
By the end of the course, students not only understand each topic in depth but also develop the confidence, accuracy, and exam technique needed to excel in Extension 2 assessments, Trials, and the HSC exam.
Course Timeline
Period | Matrix Term | Grade at School | Topic Name |
---|---|---|---|
Oct-Dec | Term 1 | Year 11 | Complex Numbers, Proofs in Number Theory |
Jan-Mar | Term 2 | Year 12 | Linear Relationships, Financial Mathematics |
Apr-Jun | Term 3 | Year 12 | Time and Location, Applications of Measurement |
Jul-Sep | Term 4 | Year 12 | Networks, Paths and Trees, Data Analysis, Guided Yearly Exam |
Course Format
Learning Goal
Students will:
What’s Included
1. 9 Weekly Lessons
Structured 3-hour lessons focused on Extension 2 topics, with deliberate practice on HSC-style problems and past exam trends.
2. NSW Syllabus-Aligned Resources
Comprehensive Theory Book and Workbook with worked solutions, advanced exercises, and extension questions modeled on Q15 and Q16.
3. Weekly Quizzes and Reviews
In-class assessments that test both core knowledge and problem-solving under exam conditions, with immediate teacher feedback.
4. Matrix Learning Portal Access
Online revision hub with theory lesson videos, practice exams, and extension problem sets for independent preparation.
5. Instant Academic Support with Ask Max
On-demand AI study assistant available anytime for help outside class.
6. Small Class Sizes (Capped at 15)
Ensures personalised attention, active participation, and targeted teacher feedback.
7. 1:1 Workshop
Free individual support session during the term for exam preparation, or consolidating core concepts.
Audience
The Year 12 Mathematics Extension 2 Term Course is designed for:
Students who:
Parents who:
Program
Oct – Dec (Matrix Term 1): Complex Numbers, Proofs in Number Theory
Lesson 1: Complex Number 1
Lesson 2: Complex Number 2
Lesson 3: Complex Number 3
Lesson 4: Complex Number 4
Lesson 5: Complex Number 5
Lesson 6: Complex Numbers and Polynomials
Lesson 7: Introduction to Proofs – Statements and Implications
Lesson 8: Proofs in Number Theory
Lesson 9: Review and Topic Test
Jan – Mar (Matrix Term 2): 3D Vectors, Harder Proofs, Integration
Lesson 1: Vectors 1
Lesson 2: Vectors 2
Lesson 3: Vectors 3
Lesson 4: Vectors 4
Lesson 5: Proofs Involving Inequalities
Lesson 6: Further Proofs by Mathematical Induction
Lesson 7: Further Integration 1
Lesson 8: Further Integrations 2
Lesson 9: Review and Topic Test
Apr – Jun (Matrix Term 3): Recurrence Relations and Motions
Lesson 1: Integration by Parts
Lesson 2: Properties of Integrals and Recurrence Relations
Lesson 3: Harder Linear Motions
Lesson 4: Simple Harmonic Motion – Definition and Properties
Lesson 5: Simple Harmonic Motion – Problem Solving
Lesson 6: Motions with Resistance
Lesson 7: Harder Projectile Motion
Lesson 8: Harder Motion Problems
Lesson 9: Review and Topic Test
Jul – Sep (Matrix Term 4): HSC Exams Mark Booster – Mastering Q15 and 16
Lesson 1: Review and Harder Problems – Complex Numbers
Lesson 2: Review and Harder Problems – Proofs
Lesson 3: Review and Harder Problems – Vectors
Lesson 4: Review and Harder Problems – Integration
Lesson 5: Review and Harder Problems – Motions
Lesson 6: Harder Exam Questions 1
Lesson 7: Harder Exam Questions 2
Lesson 8: Harder Exam Questions 3
Lesson 9: Mock HSC Exam
Benefits
1. Mastery of Core HSC Extension 2 Topics
Complex Numbers, Proofs, Vectors, Integration, Recurrence Relations, and Motion — taught with clarity and depth for a strong foundation.
2. Advanced Problem-Solving Strategies
Step-by-step methods for tackling the hardest multi-step problems, including non-routine proofs and vector applications.
3. Exam Readiness for High-Difficulty Questions
Weekly quizzes, structured practice, and topic tests build accuracy, speed, and confidence for Q15 and Q16 in the HSC exam.
4. Preparation for Trials and the HSC Exam
Key Stage 6 concepts reinforced and extended early, so students are fully prepared to excel in both internal assessments and the final exam.
5. Consistent Progress and Confidence
Weekly lessons, targeted homework, and personalised feedback ensure students steadily close gaps, refine skills, and strengthen performance.
Approach
Just-in-Time Mastery
Over 9 weeks, students learn the same content they are studying at school, but with greater structure and depth. This just-in-time approach helps them understand challenging Extension 2 topics more clearly and apply them with confidence in assessments.
Teaching Methods
Each lesson is delivered by experienced Matrix teachers using a structured, high-impact approach:
Content Mix
Lessons are designed to balance conceptual clarity with application. Around 40% of class time is spent on building deep understanding of new concepts, while 60% is devoted to applying that knowledge to multi-step, HSC-style problems. This ensures students refine both theory and exam technique each week.
9-Week Sequencing
Each week builds on the last, following a deliberate progression from foundational concepts to the hardest HSC-style questions. By the end of term, students not only understand the theory but can confidently apply it in exams.
Matrix teachers have the vast classroom teaching experience to clearly explain complex concepts.
Get 150+ page new-edition Theory Book written by expert teachers designed to help students develop in-depth knowledge and understanding in Year 12 mathematics.
Currently enrolled students can access Max, their personal AI study buddy, anytime for feedback, explanations, or help with tricky questions — available on the Matrix LMS platform.
Our small classes are arranged in a U-shape, creating an interactive and engaging learning environment.
Enjoy additional one-on-one tutor support for extra feedback, writing development, or homework assistance.
All Matrix Campuses are designed for student comfort and engagement. Make learning enjoyable with our comfortable and professional learning environment.
Online video lessons are conducted by experienced teachers who take you through the Matrix Theory Book step-by-step.
Track your child’s progress and achievement through Weekly Homework completion and Quizzes.
Get exam-ready with Topic Tests that consists of a variety of real exam-style questions.
Get year round access to Theory Lesson Videos, Online Practice Questions, and track your progress easily via the Matrix LMS platform.
Want advice on your child’s learning? Get exclusive access to academic advice, and invitations to events and seminars from the Matrix academic team.
Enjoy access to all course resources until the end of the year.
All on campus courses come with our First Lesson Money Back Guarantee.
Learn at your own pace with the support you need. Work through your Matrix Theory Book with 8 clear video lessons taught by experienced Matrix teachers.
Address gaps in learning by asking questions on the student Q&A board to receive individual teacher support within 1 working day.
Enrolled students get instant explanations, personalised feedback, and step-by-step solutions anytime with their AI study companion, Ask Max.
Complete exam-style questions in your Work Book, online quizzes, and end-of-term Topic Tests to consolidate key concepts and build exam confidence.
Module 1
Complex Numbers, The Nature of Proof, Proofs in Number Theory
Module 1
Complex Numbers, The Nature of Proof, Proofs in Number Theory
Module 2
3D Vectors, Proofs Involving Inequality, Harder Induction Proofs, Further Integration
Module 2
3D Vectors, Proofs Involving Inequality, Harder Induction Proofs, Further Integration
Module 3
Integration by Parts, Recurrence Relations, Simple Harmonic Motion, Harder Linear and Projectile Motions, Motions with Resistance
Module 3
Integration by Parts, Recurrence Relations, Simple Harmonic Motion, Harder Linear and Projectile Motions, Motions with Resistance
Module 4
Revisions, Harder Questions and Tackling Questions 15 and 16
Module 4
Revisions, Harder Questions and Tackling Questions 15 and 16
Module 1
Lesson 1: Complex Number 1 – Basic Operations, Square roots and Quadratic Equations
Lesson 2: Complex Number 2 – Quadratic and Cubic Theory, Argand Diagram and Mod-Arg form
Lesson 3: Complex Number 3 – Vector Quantities and Geometrical Applications
Lesson 4: Complex Number 4 – Complex Loci and the Triangle Inequality
Lesson 5: Complex Number 5 – De Moivre’s Theorem and Applications
Lesson 6: Complex Numbers and Polynomials
Lesson 7: Introduction to Proofs – Statements and Implications
Lesson 8: Proofs in Number Theory
Lesson 9: End of Term Topic Test
Module 2
Lesson 1: Vectors 1 – Introduction to 3D Vectors
Lesson 2: Vectors 2 – Spheres, Curves and Lines+
Lesson 3: Vectors 3 – Relationships between lines
Lesson 4: Vectors 4 – Vector Proofs
Lesson 5: Proofs Involving Inequalities
Lesson 6: Further Proof by Mathematical Induction
Lesson 7: Further Integration 1
Lesson 8: Further Integration 2
Lesson 9: End of Term Topic Test
Module 3
Lesson 1: Integration by Parts and Introduction to Recurrence Relations
Lesson 2: Properties of Integrals and Recurrence Relations
Lesson 3: Harder Linear Motions
Lesson 4: Simple Harmonic Motion 1 – Definition and Properties
Lesson 5: Simple Harmonic Motion 2 – Problem Solving
Lesson 6: Motions with Resistance
Lesson 7: Harder Projectile Motion
Lesson 8: Harder Motion Problems
Lesson 9: End of Term Topic Test
Module 4
HSC Mark Booster Course designed for students who want to maximise their marks for the 2025 HSC Maths Ext 2 Exam. This module builds the skills and confidence needed to tackle hard Questions 15 and 16.
Lesson 1: Complex Numbers
Lesson 2: Proofs
Lesson 3: Vectors
Lesson 4: Integration
Lesson 5: Mechanics
Lesson 6: Harder Exam Questions 1
Lesson 7: Harder Exam Questions 2
Lesson 8: Harder Exam Questions 3
Lesson 9: Guided Mock HSC Exam
200+ page new-edition Theory Book written by expert teachers designed to help students develop in-depth knowledge and understanding in Year 12 Mathematics.
Learn from the best, with each Theory Lesson accompanied by Online Video Lessons led by experienced teachers.
Currently enrolled students can access Max, their personal AI study buddy, anytime for feedback, explanations, or help with tricky questions — available on the Matrix LMS platform.
Enjoy the flexibility of online learning with all the benefits of being on-campus. Lesson content progression is automatically unlocked for the best learning experience, ensuring students stay on track for success.
Sharpen your Maths skills with 500+ online practice questions organised by topics and regularly updated. And with automated marking, students receive instant feedback on their progress.
Get exam-ready with Topic Tests that consists of a variety of real exam-style questions.
Stuck on a question? Address your individual learning needs by posting your questions on the Matrix Q&A Boards and receive responses within 1 working day.
Enjoy access to all course resources until the end of the year.
Want advice on your child’s learning? Get exclusive access to academic advice, and invitations to events and seminars from the Matrix academic team.
Online
Access starts | 14 October 2024 |
Access Ends | Day of HSC Exam |
Matrix+ online
Term course
Holiday course
Who is it for?
Course structure
Matrix resources
Reporting
Additional support
Homework
Assessments
Matrix was honestly one of the best tutoring places I have ever been to. It was only through the experienced tutors and their brilliant guidance I was able to achieve Band 6’s in all my subjects and achieve a 99+ ATAR. I thank you Matrix and I cannot be anymore grateful.
Maths Ext 2 is a difficult topic, however, this course was able to explain everything with ease. The workbook also had some very creative questions that reflect the difficulty of HSC papers. This gave me ton of exposure and helped me remain comfortable in the actual exam.
Knox Grammar School
The Mathematics Extension 2 Holiday Accelerated Course was intensive, as promised. However, by the end of the 9 days, past exam papers make sense rather than pose dauntingly thanks to my Matrix teacher.
Sydney Boys High School
My Maths Extension 2 teacher provided in-depth analysis of different concepts and further helped my understanding of the subject. He is friendly and easy to approach and I love how they welcome all questions and queries.
St George Girls' High School
From the Matrix Maths Extension 2 course I learned how to critically interpret a mathematics question, devise a mental strategy to tackle it, and present my solution in a manner that was logical and sequential, with diagrams to complement it.
Sydney Girls High School
Flexible payment options: Pay quarterly or monthly over 3 months.
Term course
9 weekly lessons over 9 weeks
$1350
per term
$450
per month for 3 months
Holiday course
9 daily lessons over 2 weeks
$1350
per holiday course
$450
per month for 3 months
Matrix+ online
9 lessons, anywhere, anytime
$795
per module
$265
per month for 3 months
years teaching
Qualifications
Year levels
Subjects taught
Years at Matrix
years
Teaching experience
years
Campuses
Locations
Teaching methods
Who are Matrix teachers?
Year 12 Maths Extension 2 Matrix tutoring teachers are experienced educators who have degrees in related disciplines. They are knowledgeable, know how to explain things clearly, and make learning fun.
What are the teaching styles of Matrix Maths teachers?
Matrix Year 12 Maths teachers deliver a structured and engaging learning experience through a mix of instructional and interactive teaching.
Is the Matrix Year 12 Maths Extension 2 tutoring program mapped to the NSW syllabus?
Yes, the Matrix Year 12 Maths Extension 2 tutoring program covers every aspect of the NSW Education Standards Authority (NESA) Syllabus thoroughly. It extends students’ abilities and helps them develop strong foundations in all aspects of Mathematics.
Why does Matrix teach one term ahead of the school program?
Matrix Term 1 starts in October each year. This allows Year 12 students to work on the HSC syllabus for four full times as opposed to three terms at school. The extra term of HSC studies means Matrix students gain a competitive advantage over their school peers.
Can Matrix Year 12 Maths Extension 2 tutoring improve my child's marks at school?
100% of our students have reported an improvement in their confidence and marks since enrolling into the Matrix Year 12 Maths Extension 2 course.
What is the class size?
All Matrix classes seat a maximum of 15 students arranged in U-shape formation to support an interactive and engaging student learning environment.
How long does each Year 12 Maths Extension 2 tutoring session go for?
Each Year 12 Maths Extension 2 tutoring session is 180 minutes long and consists of Theory, Application and In-Class Practice. Refer to lesson structure for a detailed breakdown.
If my child misses a lesson, what can they do to catchup?
Matrix provides students access Online Theory Lesson Videos for missed lessons and revisions. The video lessons are easy to follow and paired with the Matrix Theory Book.
What's the difference between Holiday course and Term course?
The table below compares the Holiday course to the Term course.
Holiday Course | Term Course | |
What is it? | 9 week on campus course | 9 day on campus course |
When is it? | School Holidays | Term |
Who is it for? | Students who want to learn ahead of school and save time during the term | Students who want to learn in alignment with the school pace |
Course structure | 3 hour daily lessons over 2 weeks:
| 3 hour weekly lessons over 9 weeks
|
Additional Support | 1: 1 Workshops available during the term | 1: 1 Workshops available during the term |
What is Matrix+?
Matrix+ is an online course consisting of video lessons paired with Matrix Theory Books. It’s accessible, more affordable and flexible compared to Matrix On-Campus courses. It’s an effective learning option if you prefer to learn at your own pace.
Is the online lesson live streamed classes?
No, you can learn at any time. Matrix+ lessons are pre-recorded to ensure the highest quality delivery for all types of learners! Our detailed video lessons allow you to view and follow the lesson at your own pace – pause, replay, or speed up videos for an on-demand learning experience.
How long do I have access Matrix+ course?
Year 12 Maths Extension 2 tutoring students will still be able to access Theory Lesson Videos, Q&A Discussion Boards, and online resources until the day of their HSC exam.
How will I receive the Matrix+ Theory Book?
Matrix Theory Books will be mailed to your delivery address via Australia Post.
9 lessons, anywhere, anytime
<span style=”color:#eb0909″;><b>10% off Early Bird offer</b>
<b>until 7 Sep 2025</b></span>