Mathematical Methods Units 3/4 Tutoring online or
on campus

Audience

Who it's for

The Year 12 Mathematical Methods Units 3/4 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 – Review of Derivatives and Differentiation of Functions

Day 1: Review of Basic Differentiation
Day 2: Further Differentiation
Day 3: Exponential Functions
Day 4: Logarithmic Functions 1
Day 5: Logarithmic Functions 2

Weekend Break

Day 6: Derivative of Circular Functions
Day 7: Miscellaneous Differentiation Techniques
Day 8: Applications of Differentiation
Day 9: Topic test

April – Curve Transformation, Mathematical Modelling and Integration

Day 1: Review of Differentiation
Day 2: Sketching Polynomial Functions Involving Second Derivative
Day 3: Sketching Exponential, Logarithmic and Circular Functions
Day 4: Sketching Composite Functions
Day 5: Modelling Real World Scenarios Using Mathematics

Weekend Break

Day 6: Integration 1 – Integral Notation, Area Under A Curve
Day 7: Integration 2 – Exponential Functions and Integrals Leading to Logarithms
Day 8: Integration 3 – Integrating Circular Functions and Other Applications
Day 9: Topic test

July – Further Statistics

Day 1: Discrete Random Variables 1
Day 2: Discrete Random Variables 2
Day 3: Discrete Random Variables 3
Day 4: Continuous Random Variables
Day 5: The Normal Distribution

Weekend Break

Day 6: The Binomial Distribution
Day 7: Sampling Techniques and Statistical Inference
Day 8: Exam Style Revision on Statistics
Day 9: Topic test

October – VCE Exam Preparation Course 

Day 1: Comprehensive overview of Units 3 & 4 – revision made simple and strategic.
Day 2: Supervised Mock Exam – 1 – practise under strict VCAA conditions.
Day 3: Reflection & Learning from the Mock Exam – 1. Class Q&As, exam strategies, and personalised hints.
Day 4: Supervised Mock Exam – 2.
Day 5: Reflection & Learning from the Mock Exam – 2. Class Q&As, exam strategies, and personalised hints.

Weekend Break

Day 6: Supervised Mock Exam – 3
Day 7: Reflection & Learning from the Mock Exam – 3. Class Q&As, refine pacing, accuracy, and application
Day 8: Supervised Mock Exam – 4
Day 9: Final Reflection and Consolidation of Learning. Lock in key knowledge and exam strategies.

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 VCE Mathematics
Concepts reinforced early, preparing students for success in VCE Mathematics.

Approach

How it works

Structured Acceleration

In just 9 days, students cover a full term’s worth of Mathematical Methods Units 3/4 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 3/4, leaving the term free for revision and exam preparation.

Matrix Term 2

Jan - Mar

Curve Transformation, Mathematical Modelling and Integration

Lesson 1: Review of Differentiation

Lesson 2: Sketching Polynomial Functions Involving Second Derivative

Lesson 3: Sketching Exponential, Logarithmic and Circular Functions

Lesson 4: Sketching Composite Functions

Lesson 5: Modelling Real World Scenarios Using Mathematics

Lesson 6: Integration 1 – Integral Notation, Area Under A Curve

Lesson 7: Integration 2 – Exponential Functions and Integrals Leading to Logarithms

Lesson 8: Integration 3 – Integrating Circular Functions and Other Applications

Lesson 9: Topic test

Matrix Term 3

Apr - Jun

Further Statistics

Lesson 1: Discrete Random Variables 1

Lesson 2: Discrete Random Variables 2

Lesson 3: Discrete Random Variables 3

Lesson 4: Continuous Random Variables

Lesson 5: The Normal Distribution

Lesson 6: The Binomial Distribution

Lesson 7: Sampling Techniques and Statistical Inference

Lesson 8: Exam Style Revision on Statistics

Lesson 9: Topic test

Matrix Term 4

Jul - Sep

Topical Revision for VCE, Guided Practice Exams

Lesson 1: Reviews of Functions and Relations

Lesson 2: Review of Circular Functions

Lesson 3: Review of Differentiation

Lesson 4: Review of Integration

Lesson 5: Review of Statistics 1 – Probability, DRVs and Binomial Distribution

Lesson 6: Review of Statistics 2 – CRVs, Normal Distribution and Confidence Interval

Lesson 7: Guided Practice Exam 1

Lesson 8: Guided Practice Exam 2

Lesson 9: Topic test