Mathematics Extension 1 (3U)

Course Overview

The Year 11 Mathematics Extension 1 course is designed for students who excel in mathematics and wish to explore concepts beyond the Advanced syllabus. It provides a deeper understanding of algebra, functions, trigonometry, and calculus, while developing strong reasoning and problem-solving skills. This course prepares students for the challenges of Year 12 Extension 1 and lays the groundwork for Extension 2.

Key Areas of Learning

FURTHER WORK WITH FUNCTIONS

1. GRAPHICAL RELATIONSHIPS

2. INEQUALITIES

3. INVERSE FUNCTIONS

4. PARAMETRIC FORM OF FUNCTION AND RELATION

POLYNOMIALS

1. BASIC CONCEPTS

2. DIVISION OF POLYNOMIALS

3. THE REMAINDER AND FACTOR THEOREM

4. GRAPHS OF POLYNOMIALS

5. THE ROOTS AND THE COEFFICIENTS

FURTHER TRIGONOMETRY

1. THE COMPOUND AND MULTIPLE ANGLES

2. THE T-FORMULAE

3. APPLICATIONS OF TRIGONOMETRIC IDENTITIES

4. THE TRIGONOMETRIC EQUATIONS

INVERSE TRIGONOMETRIC FUNCTIONS

1. INVERSE TRIGONOMETRIC FUNCTIONS

2. GRAPHS INVOLVING INVERSE TRIGONOMETRIC FUNCTIONS

RATES OF CHANGE

1. RATES OF CHANGE

2. EXPONENTIAL GROWTH AND DECAY

WORKING WITH COMBINATORICS

1. FUNDAMENTAL PRINCIPLE OF COUNTING

2. PIGEONHOLE PRINCIPLE

3. PERMUTATION

4. COMBINATION

5. PROBABILITY OF ARRANGEMENTS

6. BINOMIAL EXPANSION AND PASCAL'S TRIANGLE

VECTORS

1. INTRODUCTION TO VECTORS IN TWO DIMENSIONS

2. VECTORS IN COMPONENT FORMS

3. SCALAR PRODUCT OF VECTORS

4. VECTORS IN GEOMETRIC PROOFS

Term Calendar - 2026

Day: Wednesday

Time: 6:30 pm to 8:15 pm

Duration: 10 weeks per school term

Plus: 2 Holiday Lessons (usually in the first week of the school break). Holiday lessons help us stay ahead of the school curriculum and allow extra time for revision and exam preparation

Fee: For enrolment details and fee, give us a call on 0431137611

Note: Holiday lessons are included as part of the term fee. If a student cannot attend, they can revisit the lesson through our class recordings and are welcome to arrange a catch-up session for homework support.

Homework Help: Monday & Tuesday – 4:30 pm to 6:30 pm,
Saturday – 11 pm to 1 pm

Our Teaching Approach

All classes are taught by Sid, ensuring consistent guidance and a deep understanding of each student’s progress. Lessons are interactive, encouraging students to actively engage and ask questions. Our program is school and exam focused, with regular mock exams and thorough revision to build confidence and mastery. Sid goes beyond simply teaching the content—he shows students how to approach and think through problems, inspiring them to develop critical thinking skills and stay motivated throughout their learning journey.