Year 12 Maths Extension 1

Achieve a thorough understanding of your topics and reach your ATAR potential

Course Components


Weekly Theory Classes
  • Learn ahead of school
  • Small sized classes
  • Top ranked teachers
  • Comprehensive resources


Personalised Tutorials
  • One-on-one tutorials
  • Address your individual needs
  • Challenging question booklets
  • School work assistance


Additional Resources and Support
  • Regular quizzes and exams
  • Homework marking and feedback
  • Weekly tracking of results and reporting
  • Additional resources and exam-style questions

Course Topics

Prime Year 12 Maths Extension 1 Term Course Program covers both Advanced and Extension 1 content of the new NESA syllabus.

Commencing from school Term 4, Prime teaches ahead of school so you can dedicate the last term before HSC for revision.

Term 4

Oct - Dec

  • Functions and Graphing (2U)
  • Differential Calculus (2U)
  • Induction (3U)
  • Introduction to Vectors (3U)
Summer Holiday


  • Essential Year 11 topics
  • Revision of Induction
  • Preview and Review of Vectors
Term 1

Jan - Mar

  • Integral Calculus (2U)
  • Series (2U)
  • Vectors (3U)
  • Trigonometry (3U)
  • Calculus (3U)
Term 2

Apr - Jun

  • Financial Mathematics (2U)
  • Statistics (2U)
  • Differential Equations (3U)
  • Statistics (3U)
Winter Holiday


  • Trial Exam Preparation
  • Mock Exams
Term 3

Jul - Sep

  • HSC Revision Ext 1 Topics
  • HSC Revision Ext 2 Topics


Spring Holiday


  • HSC Exam Preparation
  • Mock Exams

Class structure

Theory Class
30 mins
Homework Revision and In-class Quiz

Receive marked homework with feedback before sitting an in-class quiz to check your understanding

65 mins
Theory Lesson - Advanced Topics

Study key mathematical concepts with exam-style questions

10 mins


65 mins
Theory Lesson - Extension 1 Topics

Study key mathematical concepts with exam-style questions

10 mins
Q&A and Homework

Ask questions about the class work and receive answers before leaving the classroom

Personalised Tutorial
60 mins
Pick a time that suits your schedule

Choose any time between 10am and 5pm on Saturdays (weeks 2 to 9). Tutorials run for one hour. 

Practice booklet

Receive challenging pratice booklets to revise your knowledge with individual help from your tutor

Assist with any topics or school work

Get help with school work or ask questions on any maths topics and receive additional resources

Course Pricing

Theory Class Only
$1135 per term (27 hours x $42/hr)
  • * Any additional courses in the same shopping cart receive a 10% discount
  • You'll get:
  • 9 weeks x 3 hrs Theory Classes
  • Small class size (max. 12 students)
  • Challenging workbooks, homework and practice exam papers
  • Taught by top-ranked tutors

Got more questions?

Enquire now

Weekly Topic Schedule

Term 4   Topic Class Tutorial Homework
Week 1   Graphing Transformations (2U)      Introduction to Induction (3U)  
Week 2   Solving Equations with Graphs (2U)      Inequality and Divisibility (3U)
Week 3   Trigonometric Functions and Graphs (2U)      Geometry and False Proofs (3U)
Week 4   Functions Revision (2U)      Induction Revision (3U)
Week 5   Functions Exam (2U)      Induction Exam (3U)
Week 6   Further Derivatives (2U)      Introduction to Vectors (3U)
Week 7   Applications of Derivatives (Graphical) (2U)      The Dot Product (3U)
Week 8   Applications of Derivatives (Physical) (4U)      Geometric Application of Vectors (3U)
Week 9   Differential Calculus Revision (2U)      Vectors Revision (3U)
Holiday 1   Topic Class Tutorial Homework

Essential Year 11 2U and 3U topics

Revision of Functions and Calculus (2U)

Vectors and Revision of Induction (3U)

Term 1          
Week 1   The Anti-derivative (2U)      Physical Application of Vectors (3U)  
Week 2   The Area Under a Curve (2U)      Projectile Motion (3U)
Week 3   The Fundamental Theorem (2U)      Vectors (Physical) Revision (3U)
Week 4   Application of Integrals (Theory) (2U)      Vectors (Physical) Exam (3U)
Week 5   Application of Integrals (Applications) (2U)    Auxilary Angles&Identities(3U)
Week 6   Integral Calculus Revision (2U)      Trignometry Integrals (3U)
Week 7   Arithmetic Series (2U)      Integration by Substitution (3U)
Week 8   Geometric Series (2U)      Solids of Revolution (3U)
Week 9   Series Revision (2U)      Calculus Revision (3U)
Holiday 2          
    No classes for April Holiday      
Term 2   Topic Class  Tutorial Homework
Week 1   Modelling Financial Situations (2U)      Introduction to Differential Equations (3U)  
Week 2   Using Series for Finance (2U)      Solving Differential Equations (3U)
Week 3   Financial Mathematics Revision (2U)      Application of Differential Equations (3U)
Week 4   Financial Mathematics and Series Exam (2U)      Differential Equations Revision (3U)
Week 5   Summary Statisitcs for Data (2U)      Calculus Exam (3U)
Week 6   Bi-variate Date Analysis (2U)      Bernoulli Random Variables (3U)
Week 7   Continuous Random Variables (2U)      Binomial Distribution (3U)
Week 8   The Normal Distribution (2U)      The Normal Approximation (3U)
Week 9   Statistics Revision (2U)      Statistics Revision (3U)
Holiday 3     Class Tutorial Homework

Trial Exam Preparation Course

Comprehensive Revision and Mock Trial Exams

Term 3   Topic Class Tutorial Homework
Week 1   Trial Exam preparation 1  
Week 2   Trial Exam preparation 2
Week 3   Trial Exam preparation 3
Week 4   Trial Exam preparation 4  
Week 5   Topic Revision 1
Week 6   Topic Revision 2
Week 7   Topic Revision 3
Week 8   Topic Revision 4
Week 9   Topic Revision 5
Holiday 4     Class Tutorial Homework

HSC Exam Preparation Course

Comprehensive Revision and Mock HSC Exams



Thank you Prime for helping me with all my maths problems! The teachers have been very supportive towards my learning and also my peers. They showed me step by step and face to face. The atmosphere is always positive and I highly recommend this place for all students. Compared to other places, it is number one in my opinion!

Rachelle Zeng | Killara High School


Prime Education has really helped me and my confidence in General Mathematics. The tutors are very supportive and have no judgements or prejudice if you are struggling with anything. The work that is provided is very useful and relevant to excel in all subjects, especially during senior school.

Mercedes Janecek | Chatswood High School


Prime Education has allowed me to gain insight to a whole new way of learning. It has assisted me throughout the past 2 years and helped me achieve the best I can in Extension Mathematics. Not only has Prime given me great education but it has allowed me to gain motivation and interest in Mathematics. Furthermore, I have also met great new people who gave me guidance throughout the time.



At Prime, I am doing both English and Maths. Maths is very helpful as I am able to learn topics in advanced on the classes. On Saturday Individual Tuition Lessons I am able to sit down with one of Prime tutors who can give me some practice questions for any up coming exams. I have recently started English and I have enjoyed it so far. There is a lot of different information that the English tutor has taught me about the Shakespeare Era. She is also very good at helping me to prepare for my up coming assessments. Prime Education is very friendly and is always willing to help me!

Brandon McBurney | SCECGS Redlands


I think Prime Education is a wonderful educational place. The staff and teachers are all very helpful and their attitude to everyone is very personal. I feel like my confidence in maths has gone up ever since I have come here as my marks at school have increased and I have a deeper understanding of most topics.



Prime Education has helped me greatly in improving my maths for the HSC. The lessons are always planned out so that there is no time wasting and so that they can target specific skills needed. They are very good!

Sean McCracken | Davidson High School


I have found Prime Education a wonderful way to learn and develop new maths skills that keep me ahead of class. By learning these topics in advance I feel more confident in school as it becomes revision. Since I started at Prime, I have moved up 4 classes and ranking 3rd in my year. Thanks to Prime, maths has been much more enjoyable and easier to learn at school. By gaining the understanding and foundations during the week classes, the Saturday lessons are a chance for me to test what I have learnt and see where I go wrong. The homework also is a good way to revise the new topics to familiarise myself with them.

Alicia Philips | Loreto Kirribilli


I’ve really enjoyed my time at Prime Education – Everyone is really friendly and the teachers are always willing to help. Their resources are very clear and concise, enabling for easy understanding and giving me confidence at school.