Year 11 Maths Extension 1 Tutoring: Stay Ahead for HSC Success

Audience

Who it's for

The Year 11 Maths Extension 1 Holiday Accelerated Course is designed for students who:

• Want to learn the upcoming term’s Mathematics Advanced and Extension 1 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 algebra, trigonometry, calculus, and probability 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

Benefits

What you'll gain

1. Mastery of Advanced and Extension 1 Topics
Build a strong grasp of both Mathematics Advanced and Extension 1 concepts before they are taught at school.

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

3. Exam Readiness
Practise with HSC-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 Extension 1 and Extension 2
Concepts reinforced early, preparing students for success in senior Mathematics.

Content

What's covered

October – Functions, Relations, and Combinatorics

Day 1: Functions and Relations
Day 2: Non-Linear Relations 1
Day 3: Non-Linear Relations 2
Day 4: Inverse Functions
Day 5: Parametric Forms
Day 6: Absolute Values
Day 7: Combinatorics 1
Day 8: Combinatorics 2
Day 9: Review and Topic Test

January – Further Trigonometry and Introduction to Calculus

Day 1: Review of Trigonometry
Day 2: Further Trigonometry 1
Day 3: Further Trigonometry 2
Day 4: Further Trigonometry 3
Day 5: Further Trigonometry 4
Day 6: The Derivative
Day 7: Limits and the Derivative
Day 8: Rules of Differentiation
Day 9: Review and Topic Test

April – Applications of Differentiation and Graphical Transformation

Day 1: Calculus and Curve Sketching 1
Day 2: Calculus and Curve Sketching 2
Day 3: Exponential and Logarithms 1
Day 4: Exponential and Logarithms 2
Day 5: Calculus and Linear Motions
Day 6: Differentiation of Exponential and Logarithms
Day 7: Graphical Transformation 1
Day 8: Graphical Transformation 2
Day 9: Review and Topic Test

July – Probability, Discrete Random Variables, and Series

Day 1: Probability
Day 2: Discrete Random Variables
Day 3: Harder Combinatorics
Day 4: The Binomial Expansion
Day 5: Guided Yearly Exam 1
Day 6: Guided Yearly Exam 2
Day 7: Proofs Involving the Binomial Theorem
Day 8: Series and Sequences
Day 9: Review and Topic Test

Program

How it works

Structured Acceleration

In just 9 days, students cover a full term’s worth of Mathematics Advanced and Extension 1 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 HSC-style questions. Immediate feedback ensures concepts are consolidated and any gaps are addressed quickly.

Content Mix

Each lesson balances theory and application across both Advanced and Extension 1 syllabuses. 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 both Advanced and Extension 1, leaving the term free for revision and exam preparation.

Module 2

Trigonometry, Inverse Trigonometry and Introductory Calculus

Lesson 1: Trigonometric Ratios

Lesson 2: Further Trigonometry 1 – Radians, Arc Length, Area of Sector & Segment, Graphs

Lesson 3: Further Trigonometry 2 – Sums and Differences, Double Angles, t-formula

Lesson 4: Further Trigonometry 3 – Trigonometric Identities, 3D Trig

Lesson 5: Inverse Trigonometric Functions

Lesson 6: The Derivative – Introduction to Differentiation, Applications

Lesson 7: Limits and the Derivative – First Principles

Lesson 8: Further Differentiation – Chain Rule, Product Rule, Quotient Rule, Rates of Change

Lesson 9: Topic Test

Module 3

Applications of Differentiation, Exponentials and Logarithms, Motion in a Straight Line, Rates of Change, Graphical Transformations

Lesson 1: Calculus and Curve Sketching 1 – Stationary Points, Points of Inflection

Lesson 2: Calculus and Curve Sketching 2 & Exponential and Logarithms 1 – Max and Min, Review of Exponentials and Logarithms

Lesson 3: Exponentials and Logarithms 2 – Derivative of Exponential Functions, Real World Applications

Lesson 4: Exponentials and Logarithms 3 – Derivative of Logarithms, Applications

Lesson 5: Further Applications of Calculus 1 – Motion in a Straight Line

Lesson 6: Further Applications of Calculus 2 – Exponential Functions in Rates of Change

Lesson 7: Graphical Transformations 1 – Basic Transformations, Reflections, Absolute Values

Lesson 8: Graphical Transformations 1 – Basic Transformations, Reflections, Absolute Values

Lesson 9: Topic Test

Module 4

Parametric Forms, Probability and Statistics, Permutations and Combinations, Binomial Expressions

Lesson 1: Probability 1 – Theory of Probability, Complementary Events, Venn Diagrams, Independent Events, Multistage Experiments

Lesson 2: Probability 2 – Conditional Probability

Lesson 3: Discrete Random Variables 1 – Introduction ot Random Variables, Expected Value

Lesson 4: Discrete Random Variables 2 – Variance, Transformation of Random Variables, Populations and Samples

Lesson 5: Permutations

Lesson 6: Combinations and the PHP

Lesson 7: The Binomal Expansion

Lesson 8: Parametric Forms

Lesson 9: Topic Test