Year 12 Extension 1 Maths

Overview

The Extention 1 Maths course helps students systematically, topic by topic, develop an in-depth understanding of the fundamentals for the HSC Extention 1 Maths course to be better prepared and more confident for HSC assessments.

Our exceptional teaching staff and tutors help students develop better problem-solving techniques and a thorough knowledge of the Extention 1 Maths syllabus. The course provides students with the opportunity to develop ways of thinking in which problems are explored through observation, reflection, and reasoning.

This ensures all our students can solve the most challenging questions in Extention 1 Maths assessments and exams.

Experienced teachers and tutors

We partner with experts in education, technology and industry to ensure we stay at the leading edge of educational thinking.

Our HSC Extention 1 Maths course is designed by teachers who have extensive experience supporting HSC students through the new HSC syllabus. Our tutors have vast classroom teaching experience and/or university teaching experience with an ability to explain concepts clearly.

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

Lesson Plan

55 mins

Content summary and worked examples with solutions.
5 mins

Break.
50 mins

Content and skills application and iteration.
10 mins

Review Quiz and Exit Ticket.

Course Structure

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

Weeks 1 & 2
Module 1 – Mathematical Induction and Integral Calculus.

Weeks 3 & 4
Module 2 – Vectors and Trigonometric Functions.

Weeks 5 & 6
Module 3 – Differentials Equations.

Weeks 7 & 8
Module 4 – Statistics: Normal Distribution and Bernoulli and Binomial.

Weeks 9 & 10
Full course practice papers.

Week 1 Induction (sums)

Week 2 Induction (division)

Week 3 Induction – Summary and Review Test

Week 4 Vectors (introduction)

Week 5 Vectors (direction, component form)

Week 6 Vectors (dot product, projections)

Week 7 Vectors (forces)

Week 8 Vectors (projectile motion)

Week 9 Vectors (geometry and vector proofs)

Week 10 Vectors – Summary and Review Test

Week 1 Trigonometric equations (auxiliary method and graphing)

Week 2 Trigonometric equations (compound angle formulas, double angle)

Week 3 Trigonometric equations (quadratic and t formulae)

Week 4 Trigonometric Equations – Summary and Review Test

Week 5 Calculus (integral calculus, indefinite and definite)

Week 6 Calculus (integration by substitution, chain rule)

Week 7 Calculus (integration of complex trigonometric functions)

Week 8 Calculus (integration by trigonometric substitution)

Week 9 Calculus (integration and derivatives of inverse trigonometric function)

Week 10 Calculus (solids of revolution, both x and y axes)

Week 1 Calculus (introduction to differential equations)

Week 2 Calculus (direction field, recognising direction fields, solutions of differential equations)

Week 3 Calculus (solving differential equations)

Week 4 Calculus (solving differential equations in the context of growth and decay)

Week 5 Calculus – Summary and Review Test

Week 6 Statistics (Bernoulli trials)

Week 7 Statistics (normal distribution, variance and expected value)

Week 8 Statistics (binomial distribution, variance and expected value)

Week 9 Statistics (normal approximation of sample vs population data)

Week 10 Statistics – Summary and Review Test

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.

Pricing

What’s included in our Year 12 Extension 1 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.

$800

Payment can be made weekly or as one lump sum.

Ready to enrol?