Mathematics Advanced (2U)

Course Overview

The Year 11 Mathematics Advanced course builds strong foundational skills in algebra, functions, geometry, trigonometry, and calculus. Students learn to model real-life situations mathematically and develop analytical skills that prepare them for Year 12 Advanced and Extension 1 studies.

Key Areas of Learning

ALGEBRAIC TECHNIQUES

1. INDICES

2. SURDS

3. ALGEBRAIC IDENTITIES

4. FACTORISATION

5. ALGEBRAIC FRACTIONS

6. QUADRATIC EQUATIONS

FUNCTIONS

1.INTRODUCTION TO FUNCTIONS

2. LINEAR, QUADRATIC AND CUBIC FUNCTIONS

3. FURTHER FUNCTIONS AND RELATIONS

TRIGONOMETRY

1. TRIGONOMETRIC RATIOS

2. TRIGONOMETRIC IDENTITIES

3. TRIGONOMETRIC RATIO OF ANY ANGLE

4. TRIGONOMETRIC EQUATIONS

5. SINE RULE, COSINE RULE AND AREA FORMULA

6. PROBLEMS INVOLVING THE GENERAL TRIANGLE

PROBABILITY AND VENN DIAGRAM

1. EXPERIMENTAL PROBABILITY

2. EXPERIMENTAL PROBABILITY

3. COMPOUND EVENTS AND TREE DIAGRAMS

4. VENN DIAGRAMS

5. LAWS OF PROBABILITY

DISCREET PROBABILITY DISTRIBUTIONS

1. DISCRETE RANDOM VARIABLES

2. DISCRETE PROBABILITY DISTRIBUTIONS

3. EXPECTATION

4. VARIANCE AND STANDARD DEVIATION

5. PROPERTIES OF E(X) AND VAR(X)

DIFFERENTIAL CALCULUS

1. LIMIT, CONTINUITY & DERIVATIVE

2. DERIVATIVE

3. TANGENTS AND NORMALS

4. RATES OF CHANGE

LOGARITHMIC AND EXPONENTIAL FUNCTIONS

1. STANDARD DERIVATIVES

2. CHAIN RULE

3. PRODUCT RULE

4. QUOTIENT RULE

5. MISCELLANEOUS

6. DERIVATIVES OF IMPLICIT FUNCTIONS

7. HIGHER ORDER DERIVATIVES

8. DERIVATIVES OF PARAMETRIC FUNCTIONS

Term Calendar - 2026

Day: Wednesday

Time: 4:45 pm to 6:15 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.