Mathematics Advanced (2U)

Course Overview

The Year 12 Mathematics Advanced course develops a strong foundation in algebra, functions, trigonometry, calculus, statistics, and probability. It is suitable for students aiming for university study in fields such as science, business, technology, and health sciences. Students learn to analyse problems, model real-world situations mathematically, and communicate solutions effectively.

Key Areas of Learning

TRIGONOMETRIC FUNCTIONS AND GRAPHS

1.TRANSFORMATION OF GRAPHS

2. SOLUTIONS OF TRIGONOMETRIC EQUATIONS

3. GRAPHICAL SOLUTION OF EQUATIONS

4. APPLICATIONS INVOLVING TRIGONOMETRIC FUNCTIONS

GRAPHING TECHNIQUES

1. TRANSFORMATION OF GRAPHS

2. APPLICATION OF GRAPHIC FUNCTIONS

3. GARPHICAL SOLUTION OF EQUATIONS

4. GRAPHING REGION OF INEQUALITIES

INTEGRATION

1. INTEGRATION

2. AREAS AND THE DEFINITE INTEGRAL

FINANCIAL MATHEMATICS

1. ARITHMETIC AND GEOMETRIC SERIES

2. COMPOUND INTEREST

3. INVESTING MONEY BY PERIODIC INSTALLMENTS

4. LOAN REPAYMENT

APPLICATION OF DIFFERENTIAL CACULUS

1. RATES OF CHANGE

2. EXPONENTIAL GROWTH AND DECAY

3. MAXIMA AND MINIMA

4. KINEMATICS

RANDOM VARIABLES AND NORMAL DISTRIBUTION

1. CONTINUOUS RANDOM VARIABLE

2. CUMULATIVE DISTRIBUTION FUNCTION

3. MEAN, MEDIAN, MODE

4. THE NORMAL DISTRIBUTION

5. STANDARD NORMAL DISTRIBUTION

6. DETERMINING NORMAL PROBABILITIES

Term Calendar - 2026

Day: Thursday

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.