Year 12 Advanced Maths

Get a solid knowledge of the Advanced Maths Syllabus and develop new ways of thinking Mathematically.

Advanced Maths Tuition for High School Students - Accel iQ


The HSC Advanced Maths tuition course helps students develop an in-depth understanding of the fundamentals of the HSC Advanced Maths syllabus. Offering HSC Advanced Maths tuition online and on-campus allows Year 12 Maths students the opportunity to be better prepared and more confident for HSC assessments.

Our exceptional high school Maths tutors and teaching staff help students develop better problem-solving techniques and a thorough knowledge of the HSC Advanced Maths syllabus. Our Maths tuition course provides students with Maths help online or on-campus, giving them the opportunity to develop ways of thinking in which problems are explored through observation, reflection, and reasoning.

Our Maths tuition online and on-campus ensures all our students can solve the most challenging questions in HSC Advanced Maths assessments and exams. Our tutoring for Math provides students with techniques that will assist them through the challenges of Year 12 Maths and help prepare them for university study.

Experienced teachers and high school Maths tutors

We partner with experts in education, technology and industry to ensure we stay at the leading edge of educational thinking and provide more than just Maths help online.

Our HSC Advanced Maths course is designed by teachers who have extensive experience tutoring for Math at HSC level, and a thorough understanding of the current HSC Year 12 Maths syllabus.  Our tutors have vast classroom teaching experience and/or university teaching experience with an ability to explain concepts clearly. Our tutors are also well-equipped to provide Maths help online, ensuring remote-learning students get the same level of engaging assistance as those on-campus.

All our teaching staff have undergone a Working with Children Check (WWCC).

Online and on-campus learning

We offer tutoring for Math both online and on-campus, affording students flexibility in their learning. Our high school Maths tutors are fully equipped for flexible learning, and provide the same level of engaging Maths tuition online and on-campus. Our tutors provide engaging Maths help online with a combination of live discussions, polls and quizzes.

Whether you choose remote or face-to-face Maths tuition, we offer the same level of advanced preparation for HSC Advanced Maths, provided by our experienced high school Maths tutors.

Lesson Plan

  • 55 mins

    Content summary and worked examples with solutions. Practice on questions types.

  • 5 mins


  • 50 mins

    Content and skills application and iteration.

  • 10 mins

    Review Test and Exit Ticket.

Course Structure

  • Oct-Dec
    Term 1
  • Jan-April
    Term 2
  • April-June
    Term 3
  • July-Sept
    Term 4

Week 1: Introduction to 12 Mathematics Advanced and Topics

Plane Geometry

Week 2: Linear Functions and Lines

Week 3: Geometrical Applications of Differentiation (limits, sign of derivative, stationary points)

Week 4: Geometrical Applications of Derivatives (equations of tangents and normals, second derivative)

Week 5: Geometrical Applications of Derivatives (concavity, inflexion points, further stationary points)

Week 6: Geometrical Applications of Derivatives (sketching of polynomials and simple rational functions)

Week 7: Geometrical Applications of Derivatives (maxima and minima problems and real world applications)

Week 8: Geometrical Applications of Derivatives (primitive functions)

Week 9: Summary and review of Geometrical Applications of Derivatives

Week 10: End of Topic and End of Term Test

Week 1: Integration (area under curves, approximation methods , Simpson’s Rule, Trapezoidal Rule)

Week 2: Integration (notation, define and indefinite integrals, simple functions, sums, negative function)

Week 3: Integration (areas under, between and bounded by simple curves, use of absolute value)

Week 4: Integration (derivation and proof of volume: cone, cylinder, sphere)

Week 5: Logarithmic and Exponential Functions (review of indices, logarithm laws and change of base formula)

Week 6: Logarithmic and Exponential Functions (functions)

Week 7: Logarithmic and Exponential Functions (natural logs)

Week 8: Review Test of Logarithmic and Exponential Functions 

Week 9: Trigonometric Functions (trigonometric identities, radians)

Week 10: Trigonometric Functions (graphing sin, cos, tan, cosine, cosecant, cotangent and amplitude, period and frequency)

Week 1: Trigonometric functions (derivative and primitives of trigonometric functions)

Week 2: Summary and Topic Test: Trigonometric functions

Week 3: Applications of Calculus to the Real World (rates of change)

Week 4: Applications of Calculus to the Real World (exponential growth and decay)

Week 5: Applications of Calculus to the Real World (displacement, velocity, acceleration)

Week 6: Topic Test: Applications of Calculus to the Real World

Week 7: Series and Applications (arithmetic series)

Week 8: Series and Applications (geometric series)

Week 9: Series and Applications (financial applications of geometric series)

Week 10: Summary and Review Test: Series and Applications 

Weeks 1 & 2
Module 1 – Graphing techniques and Calculus

Weeks 3 & 4
Module 2 – Applications of derivatives, anti-derivatives area as a definite integral.

Weeks 5 & 6
Module 3 – Financial Mathematics, Statistical Analysis 1.

Weeks 7 & 8
Module 4 – Mathematics, Statistical Analysis 1, Normal Distribution, Statistical Analysis 2.

Weeks 9 & 10
Full course practice papers.

  • 10 weekly engaging lessons within the school term.
  • Comprehensive workbook based on New HSC Syllabus.
  • Weekly quizzes.
  • Online tutorials.
  • End of term practice papers and HSC trial exams.

Path to University

The route to university can be complicated and challenging for both students and parents.

We aim to make the experience as positive and rewarding as possible. 

We give students the opportunity to investigate career paths, work experience and focus of study as well as exploring a full range of options at university; to build their confidence and broaden their perspective.

Our approach provides tailored support for students, through:

  • Focused academic and subject-specific support.
  • Skills development and career planning.
  • Mentorship and support.
  • Assistance finding work experience.
  • Exploring and developing new skills, such as coding, through extra-curricular activities.
  • Education on different career paths, based on individual interests.
  • Information on the range of courses available at Australian universities.
  • Information on the types of jobs available beyond university.

Please talk to us to find out more about the programmes we offer to high school students.


What’s included in our Year 12 Advanced Maths course:

  • Course designed by expert HSC Maths teachers.
  • Course taught by qualified tutors.
  • Online tutorials and quizzes.
  • Additional online resources including practice papers.

Course Cost

$40 per hour x 2 hours x 10 lessons.


Payment can be made weekly or as one lump sum.


  • How can I find an online Maths tutor near me?

    Accel iQ offers Maths tuition both online and on-campus tutoring, providing students and parents with flexible options. The advantage of Maths tuition online is that it is our high school Maths tutors are accessible to any student, no matter the location.

  • Which HSC Maths course should I choose?

    The best Year 12 Maths course for you will depend on the requirements of future university courses. However, the three most popular courses are Maths Standard 2, Advanced Maths and Extension 1 Maths. When in doubt, choose a more difficult course with the option to drop down rather than choose an easier course and try to go up.

  • If I have additional questions after class, do I have to wait for the next class?

    No. Our high school Maths tutors offer free homework help. Students can either drop into the centre and get one-to-one support on the questions they’ve got, or they can send them in and organise Maths help online with video call help available for up to 15 minutes.

  • Can I change the Maths course later on?

    This depends on your school – each school will have its own rules regarding Year 12 Maths courses. Assuming a school allows movement then, yes, you can change courses.

    As a general rule, choose a slightly harder course and drop down – don’t choose an easy course and try to step up, it can be a bit overwhelming.

  • Do you provide additional study materials?

    Yes. In holiday times we have specialist revision courses for our maths tuition, with maths help online or on-campus. This includes notes tailored for revision and/or specialist HSC presenters with a proven track record who will provide tips and tricks around HSC.

  • Which HSC Maths course would be more beneficial for my future career?

    This will depend on the specific requirements of your chosen university course. As a general rule, most students should start by thinking about Advanced Maths and Extension 1 Maths. When in doubt, do at least Advanced Maths.

  • Is it better to enrol in on-campus classes than one-on-one classes for Maths?

    The answer to this depends on the student. For some students, Maths tuition online is more accessible, and therefore a good option. For others, on-campus options are more convenient. Our tutoring for Math is designed for flexibility and accessibility for all students.

  • Do you provide mentoring even after completing the courses?

    Yes, beyond tutoring for Math, it’s our intention to help students to mediate life between school and higher studies. Our close partnerships in the corporate sector mean that we will be able to provide ongoing mentoring.

Ready to enrol?

Speak to a learning specialist on (02) 9053 7699 or complete our online enrolment form.