Maths Methods Tutoring in Melbourne: Units 1/2, online or
on campus

Audience

Who it's for

The Year 11 Mathematical Methods Units 1/2 Holiday Accelerated Course is designed for students who:

• Want to learn the upcoming term’s Mathematical Methods Units 1/2 topics before they are taught at school
• Aim to achieve top results in assignments, tests, and exams by mastering content early
• Need structured, step-by-step guidance to tackle complex problems
• Thrive in a fast-paced, academically rigorous environment led by expert teachers
• Benefit from daily practice, regular feedback, and small class sizes that provide targeted support

It is also suited to parents who:

• Want their child to reduce stress during the term by learning new topics in advance
• Prefer a program that is syllabus-aligned, academically challenging, and taught by Mathematics specialists
• Value consistent feedback, progress tracking, and access to extra support to ensure steady improvement

Program

What's covered

January – Functions and Relations, Graphs of Functions and Inverse Functions

Day 1: Review of Algebraic Techniques
Day 2: Linear Equations
Day 3: Functions and Relations
Day 4: Quadratic Functions
Day 5: Applications of Linear and Quadratic Functions
Day 6: Graphs of Power Functions 1
Day 7: Graphs of Power Functions 2
Day 8: Inverse Functions
Day 9: Topic test

April – Polynomials, Circular Functions, Exponentials and Logarithms

Day 1: Polynomials 1 – Operations with Polynomials, The Factor and The Remainder Theorem
Day 2: Polynomials 2 – Sketching Polynomials Using Roots
Day 3: Polynomials 3 – Graphical Solution and Roots Approximation Techniques
Day 4: Circular Functions 1 – Angles of Any Magnitude, General Solutions
Day 5: Circular Functions 2 – Radians, Arc Length, Areas of Sectors and Graphs
Day 6: Exponential Functions
Day 7: Logarithmic Functions 1 – Logarithmic Laws, Equations and Graphs
Day 8: Logarithmic Functions 2 – Exponential Growth and Decay, Real-World Applications
Day 9: Topic test

July – Polynomials, Circular Functions, Exponentials and Logarithms

Day 1: Polynomials 1 – Operations with Polynomials, The Factor and The Remainder Theorem
Day 2: Polynomials 2 – Sketching Polynomials Using Roots
Day 3: Polynomials 3 – Graphical Solution and Roots Approximation Techniques
Day 4: Circular Functions 1 – Angles of Any Magnitude, General Solutions
Day 5: Circular Functions 2 – Radians, Arc Length, Areas of Sectors and Graphs
Day 6: Exponential Functions
Day 7: Logarithmic Functions 1 – Logarithmic Laws, Equations and Graphs
Day 8: Logarithmic Functions 2 – Exponential Growth and Decay, Real-World Applications
Day 9: Topic test

September – The Derivative, Applications of the Derivative, Antidifferentiation, Review of Functions, Review of Probability and Counting Techniques

Day 1: Derivatives 1- The Fundamentals and The Power Rule
Day 2: Derivatives 2 – Limits and Continuity, Differentiation from First Principle
Day 3: Applications of Derivative 1 – Tangents, Normals, Rates of Change
Day 4: Applications of Derivative 2 – Increasing and Decreasing Functions, Stationary
Points
Day 5: Anti-Derivatives 1 – The Primitive Function, Integral Notation
Day 6: Anti-Derivatives 2 – The Area Problem
Day 7: Review of Functions
Day 8: Review of Probability and Counting Techniques
Day 9: Topic test

Benefits

What you'll gain

1. Mastery of Mathematical Methods Topics
Build a strong grasp of Mathematical Methods concepts before they are taught at school.

2. Stronger Problem-Solving Skills
Tackle challenging, multistep problems with structured methods that build confidence and fluency.

3. Exam Readiness
Practise with VCE-style questions, daily reviews, and a final topic test to develop precision under assessment conditions.

4. Efficient Use of Term Time
Free up valuable time during the school term to revise, refine, and focus on other demanding subjects.

5. Strong Foundation for Year 12 Mathematics
Concepts reinforced early, preparing students for success in senior Mathematics.

Approach

How it works

Structured Acceleration

In just 9 days, students cover a full term’s worth of Mathematical Methods Units 1/2 content before it is taught at school. This head start reduces the pressure of learning new concepts during the busy school term and allows students to use class time at school for reinforcement rather than first exposure.

Teaching Approach

Lessons are delivered by expert teachers through clear explanations, step-by-step worked examples, and explicit instruction. Students apply their learning through guided practice, daily problem-solving, and VCE-style questions. Immediate feedback ensures concepts are consolidated and any gaps are addressed quickly.

Content Mix

Each lesson balances theory and application across the Mathematical Methods syllabus. Students develop conceptual clarity, practise applying techniques to complex problems, and learn to tackle non-routine and multi-step exam questions confidently.

9-Day Sequencing

The course runs across nine consecutive sessions over two weeks. Each day builds on the last in a deliberate sequence, reinforcing learning through daily practice and review. By the end of the program, students have completed the full module for Mathematical Methods Units 1/2, leaving the term free for revision and exam preparation.

Module 2

Polynomials, Circular Functions, Exponentials and Logarithms

Lesson 1: Polynomials 1 – Operations with Polynomials, The Factor and The Remainder Theorem

Lesson 2: Polynomials 2 – Sketching Polynomials Using Roots

Lesson 3: Polynomials 3 – Graphical Solution and Roots Approximation Techniques

Lesson 4: Circular Functions 1 – Angles of Any Magnitude, General Solutions

Lesson 5: Circular Functions 2 – Radians, Arc Length, Areas of Sectors and Graphs

Lesson 6: Exponential Functions

Lesson 7: Logarithmic Functions 1 – Logarithmic Laws, Equations and Graphs

Lesson 8: Logarithmic Functions 2 – Exponential Growth and Decay, Real-World Applications

Lesson 9: Topic test

Module 3

Probability, Counting Techniques and Further Circular Functions

Lesson 1: Probability 1 – Sample Space and Events, Complementary Events, Venn-Diagrams

Lesson 2: Probability 2 – Multi-stage Experiments, Tree Diagrams, Conditional Probability

Lesson 3: Counting Techniques 1 – Factorial Notation, Additive and Multiplicative Principles, Arrangements

Lesson 4: Counting Techniques 2 – Selections with and without Restrictions, Applications to Probability

Lesson 5: Graphical Transformation 1

Lesson 6: Graphical Transformation 2

Lesson 7: Graphical Transformation 3

Lesson 8: Exam Style Revision

Lesson 9: Topic test

Module 4

The Derivative, Applications of the Derivative, Antidifferentiation, Review of Functions, Review of Probability and Counting Techniques

Lesson 1: Derivatives 1 – The Fundamentals and The Power Rule

Lesson 2: Derivatives 2 – Limits and Continuity, Differentiation from First Principle

Lesson 3: Applications of Derivative 1 – Tangents, Normals, Rates of Change

Lesson 4: Applications of Derivative 2 – Increasing and Decreasing Functions, Stationary Points

Lesson 5: Anti-Derivatives 1 – The Primitive Function, Integral Notation

Lesson 6: Anti-Derivatives 2 – The Area Problem

Lesson 7: Review of Functions

Lesson 8: Review of Probability and Counting Techniques

Lesson 9: Topic test