Who is this course for?

Specifically developed for Year 12 students studying Mathematics Extension 1 for the HSC. This course covers topics for both Advanced and Extension 1 Mathematics and is a continuation of our Year 11 Mathematics Extension 1 program. The full list of topics covered in both Year 11 and Year 12 is given below. The course is a continuation of our Year 11 Mathematics Extension 1 program.

Through this course, we aim to give students an in-depth understanding of the topics and further develop their maths abilities. We will work to strengthen foundational skills, improve critical thinking and problem solving skills, and learn how to synthesise different techniques to tackle complicated examination-style questions.

recommended for students who:

✔ want to improve their maths skills and enjoy a challenge
✔ enjoy interpersonal interactions and in-class discussions in an informal environment
✔ desire the structure and accountability of weekly lessons
✔ appreciate additional support while in class

Face-to-Face Lessons

$90 per lesson (billed termly)
DISCOUNTS AVAILABLE!

✔ 2.5-hour weekly lessons through our teaching term
✔ Top quality teaching makes difficult concepts easier to grasp
✔ Topics are taught systematically and comprehensively
✔ Amazing learning experience
✔ Small class size allows for flexible topic schedule
✔ Comprehensive course notes for you to note-take and personalise
✔ 24/7 access to HSC101 for on-demand streaming of thousands of learning videos
✔ AI driven practices to help you master course content
✔ Workbooks with careful curation of challenging questions to help you go that extra mile
✔ Progress tracking to identify and overcome any challenges
✔ Always here and ready to help!

List of Topics (Year 11+12)

  • + Overview of the Number System
    + Surds
    + Terms and Factors
    + Expanding Brackets
    + Linear Equations
    + Linear Inequations
    + Factorisation
    + Quadratic Equations
    + Algebraic Fractions
    + Simultaneous Equations

  • + Introduction to Functions
    + Domain and Range
    + Odd and Even Functions
    + Linear Functions
    + Quadratic Functions
    + Further Quadratic Equations
    + Sketching Polynomial Functions
    + Graphs of Some Other Basic Curves
    + Absolute Value Functions
    + Curve Sketching Techniques - Translations / Reflections / Dilations / Combinations of Transformations
    + Composite Functions
    + Rational Functions
    + Graphical Solutions and Basic Inequations
    + Regions in the Number Plane

  • + Introduction to Trigonometry
    + Special Angles and Angles of any Magnitude
    + Sine Rule, Cosine Rule and Area of Triangle
    + Radians
    + Arc length, Sectors and Segments
    + Trigonometric Identities
    + Trigonometric Graphs
    + Trigonometric Equations
    + 3D Trigonometry

  • + Introduction to Sequences
    + Sigma Notation and Partial Sum
    + Arithmetic Sequences and Series
    + Geometric Sequences and Series, and Limiting Sum
    + Simple Applications of APs and GPs
    + Arithmetic and Geometric Means
    + Revision of Basic Financial Mathematics
    + Investment Schemes
    + Time Payments

  • + Limits
    + Continuity and Differntiability
    + First Principle of Differntiation
    + Rules of Differentiation
    + Tangents and Normals
    + Implicit Differentiation (Optional)

  • + Geometric Definition of the Derivative
    + Stationary Points
    + The Second Derivative
    + Global Maximum and Minimum
    + Maximisation and Minimisation

  • + Primitive Functions
    + Constant of Integration
    + Area Bounded between the Coordinate Axes
    + Compound Areas
    + Properties of Definite Integrals
    + Trapezoidal Rule

  • + Sets and Venn Diagram
    + Theoretical Probability including conditional probability
    + Discrete Random Variables
    + Continuous Random Variables
    + Bivariate Data Analysis including linear regression
    + The Normal Distribution

  • + Logarithmic, Exponential and Trigonometric Functions
    + Differentiation and Integration of Functions involving Logarithms
    + Differentiation and Integration of Exponential Functions
    + Differential and Integration of Trigonometric Functions

  • + Gradient as a Rate
    + Natural Growth and Decay
    + Kinematics: Differentiation
    + Kinematics: Integration

  • + Principle of Induction
    + Summation and Divisibility Induction

  • + Further Inequations
    + Sketching Curves by Addition of Ordinates
    + Sketching Curves by Multiplication of Ordinates
    + Sketching Reciprocal Functions
    + Sketching Absolute Value Transformations
    + Sketching Square Root Transformations
    + Parametric Representation of Functions
    + Inverse Functions

  • + Compound Angle Formula
    + Double Angle Formula
    + Triple Angle Formula
    + The t-results
    + Further Trigonometric Equations
    + Sum of Sine and Cosine Functions
    + Sum to Product and Product to Sum
    + Generation Solutions (optional)

  • + Inverse Trigonometric Functions
    + Differentiating Inverse Trigonometric Functions

  • + Introduction to Polynomials
    + Division of Polynomials
    + Remainder Theorem
    + Factor Theorem
    + Graphs of Polynomial Functions
    + Consequences of the Factor Theorem
    + Multiple Root Theorem
    + Relationship between Roots and Coefficients

  • + Factorial Notation
    + Binomial Expansions
    + Binomial Theorem
    + Binomial Identities

  • + Ordered Arrangements without Repetition
    + Ordered Arrangements with Repetition
    + Counting with Identical Elements
    + Unordered Arrangements
    + Circular Arrangements
    + Pigeonhole Principle

  • + Introduction to Vectors
    + Vector Operations
    + Dot Product
    + Projections
    + Vector Geometry
    + Physical Applications of Vectors

  • + Volume of Solids of Revolution
    + Further Differentiation of Trigonometric Functions
    + Further Integration of Trigonometric Functions
    + Integration by Substitution
    + Integrating Functions associated with Inverse Trigonometric Functions

  • + Introduction to Differential Equations
    + Slope Fields
    + Separable Differential Equations
    + Autonomous Differential Equations
    + Applications of Differential Equations

  • + Further Probability, including with counting
    + Binomial Probability
    + The Binomial Distribution
    + The Normal Distribution as an Approximation
    + Sample Proportions

  • + Related Rates of Change
    + Modified Growth and Decay
    + Projectile Motion

Frequently Asked Questions

  • Please note the topics listed above are not covered chronologically.

    We cannot provide a fixed topic schedule as our topic order is dependent on the students in the class. Because we run small classes with a focus on our students, we sometimes adjust our topic order to help certain students in need of a specific topic first. While there is a general trend in the topic order, please contact us for specific details.

    Students who need to learn topics in an unconventional order can consider enrolling in our online course. You will have complete flexibility to determine your own topic order!

  • We offer significant amount of extra support for all our subjects outside of class.

    Students needing help with a particular topic, or just needing revision, can start by browsing our large catalogue of online learning videos on HSC101. For extra practice to master relevant concepts, our online homework system offers as much practice as you need with automatic marking and immediate feedback.

    For extra help, our tutors can be contacted outside of lesson hours on discord. If you don’t have discord, text/email is also okay! We are always happy to help - whether it's our work, schoolwork or preparation for an assessment!

  • We do not run any specific holiday programs. Y12 Mathematics Extension 1 will run lessons corresponding to the weeks in the normal school term plus the week prior to the first week of the term (we call it week 0). Note that our teaching week starts on a Monday and end on a Sunday. If school starts on a Thursday, our Week 1 will start the Monday of that very same week.

  • Not at all! All course material will be provided. Enrolled students will receive a comprehensive set of course notes and extensive workbooks, covering every facet of the course. Students enrolled in relevant subjects will also have access to HSC101, our proprietary online learning platform.

  • Yes, you can enrol any time!

    If you have missed any topics, we will do our best to patch you up! We can provide you with all the course materials for the missed topics. If we offer online courses for the subject you enrol in, you will receive complimentary access to those courses. You will be able to stream all our video lessons to bridge those missed topics. Your tutor will also be happy to help you with any further questions!

  • If our timetable does not work with you, we may start a class at a new time that suits your group, subject to our time availabilities. Please contact us to discuss further.

  • We believe that everyone should have access to quality education. As such, we charge fair rates that average out to be $40 per hour or less.

    To help make your life a bit easier, we offer the following discounts for our face-to-face lessons:

    - Early bird discount: enjoy a discount of $50 when you pay for an upcoming term before the end of the current term!
    - Loyalty discount: if you have been with us for more than one term, enjoy a further discount of $50!
    - Multiple subject discount: second subject receives 5% off, third subject receives 10% off, etc.
    - Yearly discount: Pay for the whole year and enjoy a 10% discount on your invoice total.

    If your family is experiencing extreme financial hardship and you would love to study with us, please get in contact with us!