HSC Program - Structured Classes

During the HSC years, many of us find that school has become a lot more "serious". The vibe in school is different, the tone from teachers are no longer so forgiving. Often, students fear, or are even warned, that if they fall behind from the beginning, it will only become harder and harder over time.

This is why we strongly encourage students to join our structured program prior to commencing Year 11. In Year 10, we aim to bring students to a high standard for Advanced Mathematics, which forms critical foundations to numerical subjects in HSC, including all levels of Mathematics, Physics, Chemistry and more. A solid foundation at this point will provide grounds to a smooth start in Year 11.

Our Year 11 & Year 12 HSC Program is designed to adhere to the HSC Syllabus, and most schools' teaching agenda. They are best taken hand in hand with our regular school study and most effective when taken throughout the whole course of HSC study. These classes are designed to enhance students' understanding and confidence, and stretch their ability to excel in a varied range of questions. (For students who missed the start of our HSC program, and feel that they might have fallen behind class already, you are encouraged to take out our private tutoring to re-coup any missed knowledge, prior to joining the HSC Program.)

Where are you in the HSC journey?

Year 10

In Year 10, you haven't officially kicked off your HSC journey. However, this is a crucial year to get yourself ready for HSC, through subject selection and building strong core fundamentals.

At Finesse Tutoring, we provide Maths Advanced training for Year 10 students, which is a critical stepping stone to get to the Year 11 Maths Advanced and Extension 1, Physics and Chemistry study.

Year 11

In Year 11, we officially kick start our HSC programs on Maths Advanced, Maths Extension 1, Physics, and Chemistry.

Our programs adhere to the HSC Syllabus and are structured to ensure students go through a steady pace, that allow them to absorb all required knowledge at great depth.

Year 12

Year 12 is a short year, with 3 terms of study and a final term dedicated to the HSC exam itself.

Most of our new content teaching and coaching would wrap up towards the end of Term 2 or the beginning of Term 3, with plenty of time reserved to go through the more challenging questions and exam techniques for the HSC exams.

Class Time & Prices

All courses are $990 per term, comprising 9 x 2.5-hour lessons.

Please contact us for class time on 0451 730 933 or info@finessetutoring.com.au.

Course Plan

Year 10 Math Advanced (4 terms)

Term 1

Baisc Algebra and Algebraic Operations
Solving Simple Algebra Equations and Inequalities
Algebraic Factorisation and Simplification
Quadratic Equations and Non-monic Factorisation
Solving Problems with Algebra and Simultaneous Equations
Real and Irrational Numbers, Index Laws
Surds Equations, Inequations and Operations
Units Conversion, Equations and Relationships for Typical Shape, Volumes and Similar Geometry
Finding Volume of Composite Solid, Algebraic Expressions

Term 2

Geometric Proof, Similar Triangle and Shapes
Circle Geometry Theorems
Circle Geometry Theorems
Probability, Experimental and Theoretical, Terms and Nomiclature
Venn Diagram, Tree Diagram, Matrix
Equations and Graphical Parabolas
Other Graphs (Circle, Exponential, Hyperbolas, Cubics)
Transforming Graphs and Graphing Methods
Finding Gradient and Relationships from Graphs

Term 3

Trigonometry Review, Definitions
Trigonometry Rules (Sine, Cosine, Area) and Proof
Graphing Trigonometric Graphs
Polynomial Definition and Operations
Polynomial Long Division and Theorems
Sketching Polynomials, Inverse Functions
Statistic Terms, Plots and Relationship
Interpolating Data and Finding Relationships
Laws of Logarithm

Term 4

Revision of All Topics
Revision of All Topics
Harder Questions on Algebra
Interpolating Questions to Algebraic Equations
Harder Questions on Probability and Relationship between Different Measures
Data Intepolation and Interpretation
Algebraic Equations with Trigonometry
Trigonometry Graph Introduction
Harder Questions on Geometric Proofs and Techniques

HSC Math Advanced (7 terms)

Year 11: Term 1

---------- Functions ----------

Algebraic Techiques and Notations
Index Laws and Binomial Products
Domain and Range, Reciprocal Functions
Functions, Non Functions, Continuity and Discontinuity
Graphing
Composite Functions
Linear, Quadratic and Cubic Functions
Further Functions and Relations
Polynomials

Year 11: Term 2

---------- Logarithm and Exponential ----------

Logarithm Laws and Notation
Exponential Laws and Notation
Graphing Logarithm and Exponential
Logarithm and Exponential Applications

---------- Trigonometry ----------

The Three Rules (Sine, Cosine, Area)
Area of Segment, Sector
Bearings
Radians, the Unit Circle and the Four Quadrants
Reciprocal Trigonometry Functions

Year 11: Term 3

Solving Trigonometry Functions
(sin x)^2
Sketching Trigonometry Functions
Trigonometry Relationship

---------- Calculus ----------

Gradients of Tangents
Limits and Limits of Functions
The Derivative Function and its Graph
Tangents and Limits
Differentiation Notations and Differentiation by First Principle

Year 11: Term 4

Calculating with Derivatives
Differentiation Rules and Functions

---------- Probability ----------

Probability and Venn Diagrams
Discrete Probability Distribution
Probability Application

---------- Functions 2 ----------

Graphing Techniques
Graphing Complex Functions

---------- Trigonometry 2 ----------

Graphs of Trigonometry Functions
Application and Problem Solving

Year 12: Term 1

---------- Calculus 2 ----------

Differentiation of Trigonometric, Exponential and Logarithmic Functions
Rules of Differentiation
The First and Second Derivatives
Applications of the Derivative
Integral - The Anti-derivative
Areas and the Definite Integral

---------- Financial Mathematics ----------

Modelling Financial Situations
Modelling Investments and Loans
Arithmetic Sequences and Series

Year 12: Term 2

Geometric Sequences and Series
Financial Applications of Sequences and Series

---------- Statistical Analysis ----------

Descriptive Statistics and Bivariate Data Analysis
Data (Grouped and Ungrouped) and Summary Statistics
Bivariate Data Analysis
Random Variables
Continuous Random Variables
The Normal Distribution

---------- HSC Exam Preparation ----------

Examination Techniques

Year 12: Term 3

Revision & Harder Questions on Functions
Revision & Harder Questions on Logarithm and Exponential
Revision & Harder Questions on Graphing
Revision & Harder Questions on Calculus
Revision & Harder Questions on Calculus (2)
Revision & Harder Questions on Trigonometry
Revision & Harder Questions on Financial Mathematics
Revision & Harder Questions on Probability and Statistical Analysis
More Complex Questions & Final HSC Exam Prep

HSC Math Extension I (7 terms)

Year 11: Term 1

---------- Functions ----------

Graphical Relations: Adding Ordinates
Graphical Relations: Multiplying Ordinates
Inequalities 1
Inequalities 2
Reciprocal Functions
Square Root Functions
Absolute Value Functions
Inverse Functions
Parametric Form of a Function or Relation

Year 11: Term 2

Polynomials: Remainder & Factor Theorems
Polynomials: Roots & Coefficients
Polynomials: Sum and Product of Roots
Polynomials: Polynomial Graphs

---------- Trigonometric Functions ----------

Inverse Trig Functions
Sum/Difference of 2 Angles & Double Angle Formulae
Half Angle Formulae
Identities
Trig Products as Sums or Differences

Year 11: Term 3

---------- Calculus ----------

Rates of Change with Respect to Time
Exponential Growth and Decay
Related Rates of Change

---------- Combinatronics ----------

Permutations
Combinations
Counting and Pigeonhole Principles
Applications in Probability
Pascal's Triangle
Binomial Expansion

Year 11: Term 4

---------- Trigonometric Functions 2 ----------

Compound Angle Equations
Auxiliary Angle and t Formulae Methods

---------- Calculus 2 ----------

Integration by Substitution
Integration of Trig Functions
Derivative of Inverse Functions
Integration Resulting in Inverse Trig Functions
Volumes by Revolution
Differential Equations
Direction Fields

Year 12: Term 1

Solving y=f(x)
Solving y=g(y)
Solving y=f(x)g(y)
Modelling First Order

---------- Vectors ----------

Introduction to Vectors
2D Vectors
Vectors in Component Form
Scalar Product of Vectors
Projection of Vectors

Year 12: Term 2

Vectors in Geometry

---------- Projectile Motion ----------

Equations of Time
Equations of Path

---------- Proof ----------

Induction Series
Induction Divisibility

---------- Statistical Analysis ----------

Bernoulli Trials
Binomial Distribution
Mean and Standard Deviation
Normal Approximation for the Sample Portion

Year 12: Term 3

---------- HSC Exam Preparation ----------

Revision & Harder Questions on Functions
Revision & Harder Questions on Trig Functions
Revision & Harder Questions on Calculus
Revision & Harder Questions on Combinatronics
Revision & Harder Questions on Trig Functions + HSC Exam Prep
Revision & Harder Questions on Calculus + HSC Exam Prep
Revision & Harder Questions on Proof + HSC Exam Prep
Revision & Harder Questions on Statistics + HSC Exam Prep
More Complex Questions & Final HSC Exam Prep

HSC Math Extension II (4 terms)

Year 11: Term 4

---------- Complex Numbers ----------

Operations on Complex Numbers
The Conjugate Theorems
Argand Diagram
Geometrical Applications
Locus Problems
Locus Problems by Algebraic Method
De Moivre's Theorem
The nth Roots of Complex Numbers
Trigonometric Applications

Year 12: Term 1

---------- Proof ----------

Language of Proof & Methods of Proof
Induction Proofs
Further Induction Proofs
Inequality Proofs

---------- Vectors ----------

Two-dimensional Vectors
Geometrical Applications
Three-dimensional Vectors
Equation of a Line
Equations of Circles, Spheres and Planes

Year 12: Term 2

---------- Calculus ----------

Understanding the SI Table
Trigonometric Functions
Splitting the Numerator
Partial Fractions
Use of t-formulae
Definite Integrals
Integration by Parts
Reduction Formula
Applications of Integration

Year 12: Term 3

---------- Mechanics ----------

Simple Harmonic Motion
Motion Without Resistance
Resisted Motion
Projectiles and Resisted Motion

---------- HSC Exam Preparation ----------

Revision & Harder Questions on Complex Numbers + HSC Exam Prep
Revision & Harder Questions on Proof + HSC Exam Prep
Revision & Harder Questions on Vectors + HSC Exam Prep
Revision & Harder Questions on Calculus + HSC Exam Prep
Revision & Harder Questions on Mechanics + HSC Exam Prep

HSC Physics (7 terms)

Year 11: Term 1

---------- Kinematics ----------

Introduction to Physics and the Scientific Method
Linear Motion - Describing Motion in One Dimension
Linear Motion - Uniformly Accelerated Motion
Vectors and Two-Dimensional Motion
Circular Motion
Applications of Kinematics

---------- Dynamics ----------

Forces and Newton's Laws of Motion
Applying Newton's Laws - Free Body Diagrams and Problem Solving
Work, Energy and Power

Year 11: Term 2

Momentum and Impulse
Conservation of Momentum
Applications of Dynamics
Revision of Kinematics and Dynamics

---------- Waves & Thermodynamics ----------

Introduction to Waves
Wave Behaviour - Reflection, Refraction & Diffraction
Wave Behaviour - Superposition & Resonance
Sound Waves
Ray Model of Light

Year 11: Term 3

Heat, Temperature & Specific Heat
Heat Transfer & Phase Changes

---------- Electricity & Magnetism ----------

Setting the Stage - Charge and Electric Fields
Electric Fields and Potential
Electric Circuits - Flow of Charges
Exploring Circuit Configurations
A New Force
Electromagnetism - Connecting Electricity and Magnetism
Revision of Waves & Thermodynamics and Electricity & Magnetism

Year 11: Term 4

---------- Advanced Mechanics ----------

Review of Kinematics and Dynamics
Projectile Motion
Uniform Circular Motion
Gravitation and Kepler's Laws
Energy and Orbital Motion
Applications of Advanced Mechanics
Applications of Advanced Mechanics 2

---------- Electromagnetism ----------

Electric and Magnetic Fields
Charged Particles in Electric and Magnetic Fields

Year 12: Term 1

The Motor Effect
Electromagnetic Induction
Applications of Electromagnetism
Particle Accelerators
Applications of Electromagnetism
Revision of Advanced Mechanics and Electromagnetism

---------- The Nature of Light ----------

Historical Models of Light
Diffraction and Interference of Light
Polarization of Light

Year 12: Term 2

The Electromagnetic Spectrum
Spectra of Stars
The Photoelectric Effect and the Particle Model of Light
Applications of the Nature of Light
Applications of the Nature of Light

---------- From the Universe to the Atom ----------

The Origin of the Universe and Matter
Models of the Atom
The Quantum Mechanical Nature of the Atom
The Nucleus and Radioactivity

Year 12: Term 3

Nuclear Reactions and Energy
The Standard Model of Particle Physics
Applications of Atoms
Revision of the Nature of Light and From the Universe to the Atom

---------- HSC Exam Preparation ----------

HSC Exam Preparation
HSC Exam Preparation
HSC Exam Preparation
HSC Exam Preparation
HSC Exam Preparation

HSC Chemistry (7 terms)

Year 11: Term 1

---------- Properties and Structure of Matter ----------

Introduction to Chemistry and Working Scientifically
Mixtures and Separation Techniques
Nomenclature and Classifying Elements
Atomic Structure and Isotopes
Electron Configuration and Energy Levels
Periodicity and Trends

---------- Introduction to Quantitative Chemistry ----------

The Mole Concept
Chemical Reactions and Stoichiometry
Concentration and Molarity

Year 11: Term 2

Gas Laws
The Ideal Gas Law
Applications of Quantitative Chemistry
Revision of Properties and Structure of Matter and Introduction to Quantitative Chemistry

---------- Reactive Chemistry ----------

Types of Chemical Reactions and Balancing Equations
Predicting Products of Chemical Reactions
Metal Activity Series and Redox Reactions
Galvanic Cells and Electrochemical Series
Rates of Reaction and Factors Affecting Reaction Rate

Year 11: Term 3

Collision Theory and Reaction Mechanisms

---------- Drivers of Reactions ----------

Energy Changes in Chemical Reactions
Enthalpy and Bond Energy
Entropy and Spontaneity
Gibbs Free Energy and Predicting Spontaneity
Applications of Thermodynamics
Depth Study
Revision of Reactive Chemistry and Drivers of Reactions
Revision of Reactive Chemistry and Drivers of Reactions 2

Year 11: Term 4

---------- Equilibrium and Acid Reactions ----------

Introduction to Chemical Equilibrium
Equilibrium Constant (Kc) and Reaction Quotient (Qc)
Applications of Equilibrium
Solution Equilibria and Solubility Product (Ksp)
Acids and Bases
Strength of Acids and Bases
Applications of Acid-Base Chemistry

---------- Acid/Base Reactions ----------

Properties of Acids and Bases
Bronsted-Lowry Theory and Acid-Base Reactions

Year 12: Term 1

Quantitative Analysis of Acids and Bases
pH Calculations and Indicators
Buffers and Their Applications
Acid-Base Equilibria
Applications of Acid-Base Chemistry
In Depth Study
Revision of Equilibrium and Acid Reactions and Acid/Base Reactions

---------- Organic Chemistry ----------

Introduction to Organic Chemistry and Nomenclature
Hydrocarbons and Functional Groups

Year 12: Term 2

Reactions of Hydrocarbons
Alcohols and Ethers
Aldehydes, Ketones, and Carboxylic Acids
Esters, Amines, and Amides
Polymers

---------- Applying Chemical Ideas ----------

Analysis of Inorganic Substances
Quantitative Analysis Techniques
Spectroscopic Techniques
Atomic Absorption Spectroscopy (AAS)

Year 12: Term 3

IR Spectroscopy and Mass Spectrometry (MS)
Nuclear Magnetic Resonance (NMR) Spectroscopy
Chemical Synthesis and Processes
Revision of Organic Chemistry and Applying Chemical Ideas

---------- HSC Exam Preparation ----------

HSC Exam Preparation
HSC Exam Preparation
HSC Exam Preparation
HSC Exam Preparation
HSC Exam Preparation

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