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Science guides to help you get ahead
Science guides to help you get ahead
Our Year 12 Maths Extension 1 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
Your HSC Maths Ext 1 success plan
Overview
Your HSC Maths Ext 1 success plan
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
Inclusions
What's included
Inclusions
What's included
Overview
The Matrix Year 12 Mathematics Extension 1 Holiday Accelerated Course is a 9-day intensive designed to complete a full term of content before school resumes. Each intake targets advanced Stage 6 Extension 1 topics, preparing students for assessment tasks, trial exams, and HSC Questions 13 and 14.
Period | Grade at School | Topic Name |
---|---|---|
October | Year 11 | Vectors, Integral Calculus, Mathematical Induction |
January | Year 12 | Calculus of Trigonometric and Inverse Trigonometric Functions |
April | Year 12 | Projectile Motion, Differential Equations and Further Statistics |
July | Year 12 | HSC Exam Mark Booster – Mastering Questions 13 and 14 |
Audience
This holiday accelerated course is designed for students who:
It is perfect for students preparing for Band 5 and 6 results in Mathematics Extension 1 and those pursuing further studies in STEM, engineering, mathematics, or data science.
Benefits
Content
October – December: Vectors, Integral Calculus, Mathematical Induction
February – April: Calculus of Trigonometric and Inverse Trigonometric Functions
April – June: Projectile Motions, Differential Equations, and Further Statistics
July – September: HSC Exams Mark Booster – Mastering Q13 and 14
Program
Content Mix:
The course covers upcoming Term syllabus content in a structured, progressive sequence. Students develop skills such as:
Inclusions
1. 9 Daily Lessons: Taught by experienced Matrix teachers in small groups.
2. Printed Theory Book and Workbook: Fully aligned with the NSW syllabus.
3. Daily In-Class Practice: Worked solutions provided for immediate feedback.
4. Matrix LMS Access: Includes additional learning materials, quizzes, and practice exams.
5. Instant Academic Support: Available through the AI-powered chatbot ‘Ask Max’ for on-demand help.
6. 1:1 Workshop: Personalised support with a tutor during the term, following the holiday course.
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 1.
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 |
9:00am - 12:00pm |
Epping
29 Sep - 10 Oct |
1:00pm - 4:00pm |
Hurstville
29 Sep - 10 Oct |
4:30pm - 7:30pm |
Parramatta
29 Sep - 10 Oct |
1:00pm - 4:00pm |
Strathfield
29 Sep - 10 Oct |
9:00am - 12:00pm |
1:00pm - 4:00pm |
Sydney City
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 1 Term Course is a 9-week program that prepares students for the most challenging sections of the HSC, including Q13 and Q14, in line with NSW syllabus before it is taught at school. Students refine their mastery of calculus, vectors, trigonometric functions, projectile motion, and advanced statistics.
Course Format
Course Timeline
2025 Year 11 students will begin their Year 12 Maths Extension 1 course in October 2025 as Matrix teaches one term ahead of school.
Period | Matrix Term | Grade at School | Topic Name |
---|---|---|---|
Oct-Dec | Term 1 | Year 11 | Vectors, Integral Calculus, Mathematical Induction |
Jan-Mar | Term 2 | Year 12 | Calculus of Trigonometric and Inverse Trigonometric Functions |
Apr-Jun | Term 3 | Year 12 | Projectile Motions, Differential Equations and Further Statistics |
Jul-Sep | Term 4 | Year 12 | HSC Exams Mark Booster – Mastering Q13 and 14 |
What’s Included
Audience
This course is ideal for students who:
Parents can be confident their child is supported with advanced resources and proven teaching strategies.
Program
2025 Year 11 students will begin their Year 12 Maths Extension 1 course in October 2025 as Matrix teaches one term ahead of school.
Oct – Dec (Matrix Term 1): Vectors, Integral Calculus, Mathematical Induction
Lesson 1: Vectors 1
Lesson 2: Vectors 2
Lesson 3: Vectors 3
Lesson 4: Vectors 4
Lesson 5: Mathematical Induction
Lesson 6: Definite and Indefinite Integrals
Lesson 7: Applications of Integration
Lesson 8: Calculus of Exponential and Logarithmic Functions
Lesson 9: Review and Topic Test
Jan – Mar (Matrix Term 2): Calculus of Trigonometric and Inverse Trigonometric Functions
Lesson 1: Review of Trigonometry
Lesson 2: Trigonometric Equations – Auxiliary Angle and t-formulae
Lesson 3: Derivatives of Trigonometric Functions
Lesson 4: Review of Integration
Lesson 5: Integrals Involving Trigonometric Functions
Lesson 6: Methods of Integration
Lesson 7: Derivatives of Inverse Trigonometric Functions
Lesson 8: Integrals Leading to Inverse Trigonometric Functions
Lesson 9: Review and Topic Test
Apr – Jun (Matrix Term 3): Projectile Motions, Differential Equations and Further Statistics
Lesson 1: Projectile Motion 1
Lesson 2: Projectile Motion 2
Lesson 3: Projectile Motion 3
Lesson 4: Differential Equations 1
Lesson 5: Differential Equations 2
Lesson 6: Continuous Random Variables
Lesson 7: The Normal Distribution
Lesson 8: The Binomial Distribution
Lesson 9: Review and Topic Test
Jul – Sep (Matrix Term 4): HSC Exams Mark Booster – Mastering Q13 and 14
Lesson 1: Arithmetic and Geometric Progressions
Lesson 2: Modelling Investments and Loans
Lesson 3: Review and Harder Problems – Trigonometric Functions
Lesson 4: Review and Harder Problems – Combinatorics and the Pigeonhole Principle
Lesson 5: Proofs Involving the Binomial Theorem
Lesson 6: Review and Harder Problems – Binomial coefficient proofs and Binomial Probability
Lesson 7: Review and Harder Problems – Differential Equations and Curve Sketching
Lesson 8: Review and Harder Problems – Vectors and Projectile Motion
Lesson 9: Mock HSC Exam
Benefits
Approach
Structured Acceleration
Students learn the next term’s syllabus content in advance, gaining familiarity before school assessments.
Teaching Approach
Explicit instruction, worked examples, scaffolded practice, and timed exam-style questions.
Course Progression
Each week builds on the last, with checkpoints, revision, and a topic test to confirm growth.
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 Maths Extension 1.
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.
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.
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.
Build confidence for school assessments with online quizzes and Topic Tests.
Module 1
Vectors and Applications, Integral Calculus, Mathematical Induction
Module 1
Vectors and Applications, Integral Calculus, Mathematical Induction
Module 2
Calculus of Trigonometric and Inverse Trigonometric Functions, Techniques of Integration
Module 2
Calculus of Trigonometric and Inverse Trigonometric Functions, Techniques of Integration
Module 3
Projectile Motion, Differential Equations, Bernoulli Random Variables, Binomial Distributions and Sample Proportions
Module 3
Projectile Motion, Differential Equations, Bernoulli Random Variables, Binomial Distributions and Sample Proportions
Module 4
Arithmetic and Geometric Series and Sequences, Modelling Investment and Loans, Tackling Harder Questions
Module 4
Arithmetic and Geometric Series and Sequences, Modelling Investment and Loans, Tackling Harder Questions
Module 1
Lesson 1: Vectors 1 – Geometric and Algebraic Vectors
Lesson 2: Vectors 2 – Parallel Vectors, Dot Products and Vector Projections
Lesson 3: Vectors 3 – Vector Proofs
Lesson 4: Vectors 4 – Physical Applications and Exam-Style Questions
Lesson 5: Definite and Indefinite Integrals
Lesson 6: Applications of Integrations
Lesson 7: Calculus of Exponential and Logarithmic Functions
Lesson 8: Mathematical Induction
Lesson 9: End of Term Topic Test
Module 2
Lesson 1: Review of Trigonometry
Lesson 2: Trigonometric Equations – Auxiliary Angle and the t-formula
Lesson 3: Derivatives of Trigonometric Functions
Lesson 4: Review of Integration
Lesson 5: Integration of Trigonometric Functions
Lesson 6: Methods of Integration
Lesson 7: Derivatives of Inverse Trigonometric Functions
Lesson 8: Integrals leading to Inverse Trigonometric Functions
Lesson 9: End of Term Topic Test
Module 3
Lesson 1: Projectile Motion 1 – Representing Two-Dimentional Motion
Lesson 2: Projectile Motion 2 – Using Vectors to Represent Projectile Motion
Lesson 3: Projectile Motion 3 – Exam Style Questions
Lesson 4: Differential Equations 1 – Solutions to D.E., Direction Fields
Lesson 5: Differential Equations 2 – Applications
Lesson 6: Continuous Random Variables
Lesson 7: The Normal Distribution
Lesson 8: The Binomial Distribution
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 1 Exam. This module builds the skills and confidence needed to tackle hard Questions 13 and 14.
Lesson 1: Arithmetic and Geometric Progressions
Lesson 2: Modelling Investments and Loans
Lesson 3: Revision – Trigonometric Functions
Lesson 4: Combinatorics and the Pigeonhole Principle
Lesson 5: Proofs involving the Binomial Theorem
Lesson 6: Binomial Coefficient Proofs and Binomial Probability
Lesson 7: Differential Equations and Curve Sketching
Lesson 8: Vectors and the Projectile Motion
Lesson 9: 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 Maths Extension 1.
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
years teaching
Qualifications
Year levels
Subjects taught
Years at Matrix
years
Teaching experience
years
Campuses
Locations
Teaching methods
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
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.
The Maths Extension 1 course was extremely helpful with their workbook questions. All the question catered to every topic in the HSC and gave a ton of exposure. The teachers explained complex ideas and methods of approach extremely well.
Knox Grammar School
The Maths courses are highly structured and have resources written by professionals in their respective fields. I’ve gained a richer understanding of the content we learn within the HSC syllabus by hearing of its various applications, extensions and derivations that only someone of immense expertise could share.
Northern Beaches Christian School
The small Math Extension 1 classes are great in providing an engaging learning environment that allows for foundational Math content to be absorbed and understood.
Sydney Boys High School
I have really benefited from the additional resources the Matrix Maths theory and work books offer, as there are a wide array of questions and examples which are useful for revision.
SCEGGS Darlinghurst
Maths Extension 1 is a challenging and thought-provoking subject that allows students to explore the boundaries of Mathematics. At Matrix, they cover the content required for the syllabus in detail and provide exceptional example questions of the calibre students should aim to achieve.
St George Girls' High School
The Matrix+ Maths Extension 1 course proved to be remarkably valuable for me. The course took a step by step approach, thoroughly addressing each question. With the ability to pause and replay the content I found myself actually absorbing and learning the material effectively.
St Mary's Cathedral College, Sydney
Who are Matrix teachers?
Year 12 Maths Extension 1 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 Ext 1 tutoring program mapped to the NSW syllabus?
Yes, the Matrix Year 12 Maths Extension 1 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 1 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 1 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 Ext 1 tutoring session go for?
Each Year 12 Maths Extension 1 tutoring session is 90 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 | 5 day on campus course | 9 week on campus course |
When is it | Holidays | Term |
Who is it for | Learn ahead of school and save time during the term | Learn in alignment with the school pace |
Course structure | 3 hour daily lessons over 5 consecutive days | 3 hour weekly lessons over 9 weeks |
Individual 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 1 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.