Advanced Maths
A deeper level of understanding
All our content is directly connected to subjects from the NSW Board of Studies. We begin by explaining the concepts, then we proceed to simpler questions and eventually tackle questions similar to those in exams.
A fun learning environment
Our lessons are both enjoyable and interactive. We encourage group discussions, and students are welcome to ask as many questions as they wish!
What Will You Get?
Personalised Homework Questions
At LOGOS Academia, we make homework personal. We customize assignments to target each student's weak spots. Weekly, they get a special booklet full of practice questions meant to tackle their unique challenges head-on.
Answer Books
We start preparing you as early as Year 6 to structure your mathematical explanations. Just like organising paragraphs and sentences in English, we teach students to logically present their work in math using our effective answer book system!
Our Proven Lessons Breakdown
30 MIN
We go through any homework related issues, and ensure all students are comfortable.
1HR 30 MIN
We teach new material, developing theory, and slowing move up in difficulty until we are answering exam-style questions.
Subject Details
- Year 11
- Year 12
- Term 1
- Term 2
- Term 3
- Term 4
Week 1
GRAPHS
GRAPHS 1
Week 2
GRAPHS
GRAPHS 2
Week 3
FUNCTIONS
POLYNOMIAL DIVISION
Week 4
FUNCTIONS
SUMS AND PRODUCTS OF ROOTS OF POLYNOMIALS
Week 5
FUNCTIONS
INVESTIGATING THE MULTIPLICITY OF A ROOT OF A POLYNOMIAL
Week 6
FUNCTIONS
POLYNOMIAL GRAPHING
Week 7
RATES OF CHANGE
PARTICLE MOTION
Week 8
EXPONENTIAL AND LOGARITHMS
DIFFERENTIATION OF EXPONENTIALS, AND RELATED PROBLEMS
Week 9
RATES OF CHANGE
DESCRIBE THE RATE OF CHANGE OF A PHYSICAL QUANTITY WITH RESPECT TO TIME AS A DERIVATIVE
Week 10
RATES OF CHANGE
SOLVE PROBLEMS INVOLVING SITUATIONS THAT CAN BE MODELLED USING THE EXPONENTIAL MODEL OR THE MODIFIED EXPONENTIAL MODEL AND SKETCH GRAPHS APPROPRIATE TO SUCH PROBLEMS
Week 1
PROBABILITY AND STATISTICS
PROBABILITY REVISION
Week 2
PROBABILITY AND STATISTICS
CONDITIONAL PROBABILITY
Week 3
PROBABILITY AND STATISTICS
DISCRETE PROBABILITY DISTRIBUTIONS
Week 4
PERMUTATIONS AND COMBINATIONS
WORKING WITH COMBINATORICSTHE BINOMIAL EXPANSION AND PASCALS TRIANGLE
Week 5
PERMUTATIONS AND COMBINATIONS
FACTORIAL PROBLEMS
Week 6
EXAM
PRACTICE EXAM
Week 7
POLYNOMIALS
REVIEW BEFORE RATES OF CHANGE, INCLUDING THEIR DERIVATSUMS OF ROOTS AND MULTIPLE ROOT THEOREMIVES
Week 8
PERMUTATIONS AND COMBINATIONS
PERMUTATIONS AND COMBINATIONS
Week 9
CALCULUS
CALCULUS 2U11
Week 10
TRIGONOMETRY
TRIGONOMETRIC FUNCTIONS
Week 1
FURTHER WORK WITH FUNCTIONS
INVERSE FUNCTIONS
Week 2
TRIGONOMETRY
INVERSE TRIGONOMETRY (EQUATIONS)
Week 3
TRIGONOMETRY
INVERSE TRIGONOMETRY (GRAPHS)
Week 4
CALCULUS
RATES OF CHANGE WITH RESPECT TO TIME
Week 5
CALCULUS
EXPONENTIAL GROWTH AND DECAY
Week 6
CALCULUS
RELATED RATES OF CHANGE
Week 7
TRIGONOMETRY
COMPOUND ANGLES 1
Week 8
TRIGONOMETRY
COMPOUND ANGLES 2
Week 9
TRIGONOMETRY
SOLVING TRIGONOMETRIC EQUATIONS
Week 10
HIGHER DIFFERENTIATION
UNDERSTANDING THE FIRST DERIVATIE
Week 1
CALCULUS
AN INTRODUCTION TO CALCULUS
Week 2
CALCULUS
CALCULATING WITH DERIVATIVES
Week 3
FUNCTIONS
FURTHER WORK WITH FUNCTIONS 1
Week 4
FUNCTIONS
FURTHER WORK WITH FUNCTIONS 2
Week 5
TRIGONOMETRIC FUNCTIONS
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
Week 6
TRIGONOMETRIC FUNCTIONS
FURTHER TRIGONOMETRIC IDENTITIES
Week 7
FUNCTIONS
INVERSE FUNCTIONS AND PARAMETRIC EQUATIONS
Week 8
TRIGONOMETRIC FUNCTIONS
INVERSE TRIGONOMETRIC FUNCTIONS (GRAPHS)
Week 9
TRIGONOMETRIC FUNCTIONS
INVERSE TRIGONOMETRIC FUNCTIONS (ALGEBRA)
Week 10
EXPONENTIAL AND LOGARITHMIC FUNCTIONS
LOGARITHMS AND EXPONENTIALS 1
- Term 1
- Term 2
- Term 3
- Term 4