# Learn the HSC Syllabus from the Largest FREE Video Resource in NSW

Featured in

# Start Learning.

#### Click a subject tab on the left to get started!

#### HSC Maths Standard

##### Simultaneous Linear Equations

##### Non-Right Angled Trigonometry

- What are Trigonometric Ratios - SOHCAHTOA
- Finding an Unknown Side in a Right-Angled Triangle
- Finding an Unknown Angle in a Right-Angled Triangle
- Angles of Elevation and Depression
- Compass Bearings and True Bearings
- Trigonometry with Obtuse Angles
- Area of a Triangle
- The Sine Rule
- The Cosine Rule
- Sine or Cosine: Which One Do I Use?
- Radial Surveys

##### Network Concepts

- Introduction to Networks
- Travelling a Network
- Drawing a Network Diagram
- Drawing a Network Graph to Represent a Map and Table
- Eulerian Trials and Circuits
- Hamiltonian Paths and Cycles
- Network Problems: Konigsberg bridge problem
- Minimal Spanning Trees
- Solving Connector Problems
- Finding the Shortest Path

#### HSC Maths Advanced

##### Calculus

- Finding the Derivative sinx and cosx
- Derivatives of Trigonometic Functions
- Finding the Derivative of Exponentials
- Derivatives of the Natural Logarithm Functions (ln (x))
- Finding the Derivative of Logarithms
- Applications of Product, Quotient and Chain Rules
- First Derivative of the Graph of a Function
- Second Derivative of the Graph of a Function
- Solving Problems using the Derivatives of the Functions
- Stationary Points & Points of Inflection
- Optimisation Problems in a Variety of Contexts
- Introduction to Integration (Anti-Differentiation)
- Integration Notation
- Reverse Chain Rule
- Integration of Trigonometric Functions
- Integration of e (Euler's Number)
- Integration of 1/x
- Integration of Exponentials
- Linearity in Anti-Differentiation
- Indefinite Integrals
- Solving Anti-Differentiation Problems
- Area under a Curve
- Approximation of the Area using Shapes
- Definite Integrals
- Trapezoidal Rule
- Area Above and Below the X Axis (Signed Area)
- Using Geometric Ideas to find the Definite Integral
- Calculating Translated Definite Integrals
- Link between Anti-Derivative and Area Under a Curve
- Calculating Area under a Curve
- Calculating Areas between Curves
- Solving Indefinite and Definite Integrals

##### Financial Mathematics

##### Statistical Analysis

- Single Random Variable
- Display Data
- Central Tendency
- Summary Statistics
- Scatterplot
- Pearson’s Correlation Coefficient
- Line of Best Fit
- Interpolation
- Histograms
- Probability Density Function
- Cumulative Distribution Function
- Standardisation
- Normal Distribution Characteristics
- Use Z-score to Compare
- Sketching Statistical Functions
- Z-score and Outcomes

#### HSC Maths Extension 1

##### Vectors

- Vectors: Motion of a Projectile
- What are Vectors?
- Vector Notations
- Vectors Operations
- Geometric Results of Vectors
- Unit Vectors and Vectors in Two Dimensions
- Applications of Vectors
- Dot Product and Angle of Vectors
- Parallel Vectors and Projection
- Vectors: Introduction to Projectile Motion
- Solving Projectile Motion Questions
- Further Operations with Vectors

##### Further Calculus

- Derivatives of Inverse Functions
- Integrals of Cosine and Sine Double Angles
- Double Angle Formulae for Sine and Cosine
- Integration by Substitution
- First Order Linear Differential Equation
- Solving Differential Equations
- Types of Differential Equations
- What is a Differential Equation?
- Solid of Revolution Between Curves
- Solids of a Revolution

##### Further Statistical Analysis

#### HSC Chemistry

##### Module 5: Equilibrium and Acid Reactions

- Reversibility of Chemical Reactions
- Models of Static and Dynamic Equilibrium
- Relationship between Collision Theory and Reaction Rate
- Effects of Temperature, Concentration, Volume and Pressure on a System at Equilibrium and Le Chatelier’s Principle
- Observations about Equilibrium in terms of Collision Theory
- Activation energy and Heat of Reaction
- Equilibrium Expression for Homogeneous Reactions
- Calculations of Keq and Predictions of the Reaction Direction
- Effect of Temperature on Keq
- Investigation of Keq of a Chemical Equilibrium System
- Use of Keq for Different Types of Chemical Reactions
- Dissolution of Ionic Compounds in Water
- Solubility Equilibria Investigation: Cycad Fruit
- Investigation on Solubility Rules and Composition of a Mixture of Two Ionic Substances
- Equilibrium Expressions (Ksp) for Saturated Solutions
- Prediction of the Formation of Precipitates using Ksp

##### Module 6: Acid/Base Reactions

- IUPAC Nomenclature and Properties of Inorganic Acids and Bases
- Investigation of the Properties of Indicators in Acids and Bases
- Products and Balanced Equations of Acid Reactions
- Applications of Everyday and Industrial Neutralisation Reactions
- Practical Investigation to Measure Enthalpy of Neutralisation
- Changes in Acid and Base Definitions and Models Over Time
- Practical Investigation of pH Range of Acid and Bases
- Calculations of pH and pOH
- Uses of pH to Indicate the Differences Between the Strength of Acids and Bases
- Ionic Equations for the Dissociation of Acid and Bases in Water, Conjugate Acid/Base Pairs and Amphiprotic Nature of Some Salts
- Models of Strong, Weak, Concentrated and Dilute Acid and Bases
- pH of the Resultant Solution of Diluted or Mixed Acids and/or Bases
- Titration
- Titration Curves and Conductivity Graphs
- Modeling Neutralisation of Strong and Weak Acids and Bases
- Calculating the Dissociation Constant (Ka) and pKa to determine the Strength of Acids
- Acid/Base Analysis Techniques
- Chemical Analysis of Common Household Substances
- Investigation on Buffers
- Buffers in Natural Systems

##### Module 7: Organic Chemistry

- IUPAC Nomenclature of Organic Chemicals
- Structural Isomers
- Models and Formulae for Functional Groups in Homologous Series
- Properties of Organic Chemical Compounds within Homologous Series
- Shapes of Molecules VSEPR Theory (Single, Double or Triple Bonded)
- Procedures to Handle and Dispose of Organic Substances
- Environmental, Economic and Sociocultural Implications of Hydrocarbons
- Reactions of Unsaturated Hydrocarbons (Addition Reactions: Hydrogenation, Halogenation, Hydrohalogenation, Hydration)
- Substitution Reactions of Saturated Hydrogens with Halogens
- Properties of Primary, Secondary and Tertiary Alcohols
- Effects of Intermolecular and Intramolecular Bonding Between Alcohols
- Enthalpy of Combustion for Alcohols
- Reactions of Alcohols (Combustion, Dehydration, Substitution with HX, Oxidation)
- Production of Alcohols (Substitution of Halogenated Organic Compounds, Fermentation)
- Oxidation of Primary and Secondary Alcohols
- Comparing Ethanol-Based Fuels
- Properties of Organic Chemical Compounds (Boiling Point and Solubility)
- The Intermolecular and Intramolecular bonding of Carboxylic Acids, Animes and Amides
- Production of Simple Esters
- Differences between an Organic Acid and Base
- Soaps and Detergents
- Reaction Pathways for Chemical Synthesis
- Addition Polymers (PE, PVC, PS, PTFE)
- Condensation Polymers (Nylon 6,6, Polyester)

##### Module 8: Applying Chemical Ideas

- Qualitative Investigations to Test for the Presence of Functional Groups
- Importance of Monitoring the Environment
- Qualitative Investigations to Test for the Presence of Ions (Flame tests, Precipitation, and Complexation Reactions)
- Gravimetric Analysis and Precipitation Titrations
- Colourimetry, UV Spectrophotometry and Atomic Absorption Spectroscopy
- Proton and Carbon-13 NMR, Mass Spectrometry, Infrared Spectroscopy
- Factors that Need to be Considered when Designing a Chemical Synthesis Process

#### HSC Biology

##### Module 5: Heredity

- Sexual and Asexual Reproduction
- Reproduction in Animals
- Reproduction in Plants
- Reproduction of Fungi, Bacteria and Protists
- Fertilization and Implantation
- Mitosis and Meiosis
- DNA Replication
- DNA in Eukaryotes and Prokaryotes
- Polypeptide Synthesis
- Protein Structure and Function
- Genetic Variation
- Combinations of Genotypes
- Pedigrees and Punnett Squares
- DNA Sequencing and Profiling

##### Module 8: Non-infectious disease and disorders

#### HSC Physics

##### Module 5: Advanced Mechanics

- Intro to Projectile Motion
- Projectile Motion: Initial Velocity & Launch Angle
- Projectile Motion: Max Height & Time of flight
- Projectile Motion: Final Velocity, Launch Height & Range
- More Projectile Motion Questions
- Introduction to Circular Motion
- Circular Forces Applications
- Forces in Circular Motion
- Angular Motion
- Relationships in Uniform Circular Motion
- Energy and Work in Circular Motion
- Torque and Rotation of Mechanical Systems
- Rotational Power, Work & Energy
- Centripetal Force & Acceleration
- Gravitational Field Strength at any Point
- Gravitational Force
- Force of Gravity Between Two Objects
- Gravitational Field Strength
- Orbital Velocity
- Orbital Period
- Kepler’s Laws of Planetary Motion
- Escape Velocity
- Gravitational Potential Energy
- Change in Energy Between Orbits
- Gravitational and Electric Fields
- Applications of Gravitational Force & Energy
- Geostationary and Geosynchronous Orbits

##### Module 6: Electromagnetism

- Interactions Between Charged Particles
- Forces Between Charged Particles
- Electric Potential Energy
- Acceleration in an Electric Field
- Work in an Electric Field
- Magnetic Flux Change
- Circular Motion in a Magnetic Field
- Charged Particles Moving in Magnetic Fields
- Faraday's Law & Lenz's Law
- Interaction Between Two Parallel Current-Carrying Wires
- Current-Carrying Conductor in a Uniform Magnetic Field
- DC Motors
- AC and DC Motors
- Back EMF in DC Motors
- Lenz’s Law & the Conservation of Energy
- Power Loss in Transformers
- Transformers

##### Module 7: The Nature of Light

- Maxwell and Electromagnetism
- Speed of Light
- Discharge Tubes and Spectra
- Spectroscopy
- Spectra of Stars
- Diffraction
- Double Slit Interference
- Malus’ Law
- Production and Propagation of Electromagnetic Waves
- Black Body Radiation and Wein & Plank's laws
- Plane Polarisation of Light
- Newton and Huygens Models of Light
- Photoelectric Effect
- Einstien's Thought Experiements
- Einstein’s Postulates on Relativity
- Applications of Special Relativity
- Time Dilation and Length Contraction
- Relativistic Momentum
- Mass–Energy Equivalence

##### Module 8: From the Universe to the Atom

- Big Bang
- Energy Released in Nuclear Decays or Transmutations
- Nuclear Reactions that Occur in Stars
- Nucleosynthesis Reactions
- Classification of Stars
- Millikan's Oil Drop Experiment
- Finding the Energy of a Photon
- Rutherford and Bohr Atomic Models
- Quantised Energy Levels of the Hydrogen Atom
- Schrödinger & de Broglie
- Nuclear Model of the Atom
- Radiation & Half Lives
- Nuclear Fusion Energy
- Nuclear Fission
- Introduction to Deep Inside the Atom
- Nuclear Transmutations and Energy
- What is the Standard Model of Matter
- Properties of the Electron
- Standard Model of Matter: Fundamental Forces
- Standard Model of Matter: Quarks & Hardrons
- Standard Model of Matter: Leptons
- Standard Model of Matter: Particle Accelerators

#### HSC Economics

##### Topic One: The Global Economy

- The Global Economy
- Gross World Product
- Globalisation Drivers
- International and Regional Business Cycles
- The Basis of Free Trade: Advantages and Disadvantages
- International Organisations: WTO, IMF and World Bank
- International Organisations: United Nations and OECD
- International Organisations: Difference between World Bank and IMF
- Influence of Government Economic Forums: G20, G7/8
- Reasons for Protection
- Methods of Protection: Tariffs
- Methods of Protection: Subsidies
- Methods of Protection: Quotas, Local Content Rules and Export Incentives
- Economic Development
- Distribution of Income and Wealth and Income and Quality of Life Indicators
- Developing Economies, Emerging Economies, and Advanced Economies
- Reasons for Differences Between Nations
- Effects of Globalisation
- Environmental Sustainability of Globaliastion
- Case Study of Globalisation, and Evaluation of Strategies used to Promote Economic Growth and Development: China

##### Topic Two: Australia's Place in the Global Economy

- Trends in Australia's Trade Pattern
- Trends in Financial Flows: Debt and Equity
- Balance of Payments: Structure of the Current Account
- Balance of Payments: Structure of the Capital and Financial Account
- Links between key Balance of Payments Categories
- Trends in the Size and Composition of Australia’s Balance of Payments
- Effects of these Trends on Australia’s Balance of Payments: causes of the CAD
- Effects of these Trends on Australia’s Balance of Payments: effects of the CAD
- What is the Exchange Rates and the TWI?
- Terms of Trade
- Factors Affecting the Demand for and Supply of Australian Dollars
- Exchange Rate Appreciation/Depreciation
- Fixed, Flexible and Managed Exchange Rates
- The Influence of the Reserve Bank of Australia on Exchange Rates
- The Effects of Fluctuations in Exchange Rates on the Australian Economy
- Australia’s Policies Regarding Free Trade and Protection
- Australia’s Multilateral and Bilateral Free Trade Agreements
- Implications of Australia’s Free Trade Policies for Individuals, Firms and Governments
- Implications for Australia of Protectionist Policies of Other Countries and Trading Blocs

##### Topic Four: Economic Policies and Management

- Federal Government Budgets and Budget Outcomes
- Effects of Budgetary Changes on Resource Use, Income Distribution and Economic Activity
- Methods of Financing Deficits and Use of a Surplus
- Purpose of Monetary Policy
- Implementation of Monetary Policy
- Impact of Changes in Interest Rates on Economic Activity and the Exchange Rate
- Rationale for Microeconomic Policies and their effect on Product and Factor markets, Industries and the Economy
- Minimum Employment Standards, Minimum wages, Awards, Enterprise Agreements and Employment Contracts for High Income Earners"
- Dispute Resolution
- Arguments for and against the use of Centralised, Decentralised and Individualised Methods of Determining Employment Contracts
- Education, Training and Employment Programs
- Limitations of Economic Policies
- National and Global Context for Environmental Management: Regulations, Market-based Policies, Targets and International Agreements

##### Topic Three: Economic Issues

- Aggregate Demand and its Components Y=C+I+G+X-M
- Injections and Withdrawals (I+G+X; S+T+M)
- Simple Multiplier: k=1/(1-MPC)
- Measurement of Growth through Changes in Real Gross Domestic Product
- Sources and Effects of Economic Growth in Australia
- Increases in Aggregate Supply: Improvements in Efficiency and Technology
- Trends in Business Cycle
- Measurement of unemployment: Labour force, Participation rate, Unemployment Rate
- Types and Causes: Cyclical, structural, frictional, seasonal, underemployment, hidden, long term
- Non-accelerating inflation rate of unemployment (NAIRU)
- Effects of Unemployment: Economic and Social Costs
- Measurement of Inflation: Headline and Underlying
- Inflation Trends
- Causes of Inflation: Demand, Cost, Imported and Inflationary expectations
- Inflation: Positive and Negative effects
- External Stability
- Trends in External Stability
- Causes of high CAD and Positive and Negative Effects
- Measurement of Distribution of Income and Wealth: Lorenz Curve and Gini Coefficient
- Taxation, Transfer Payments, and Other Assistance
- Sources of Income as a Percentage of Household Income and Sources of Wealth
- Economic and Social Costs and Benefits of Inequality
- Ecologically Sustainable Development
- Private and Social Costs and Benefits: Externalities and Market Failure
- Public and Private Goods: Free Riders
- Environmental Issues: Preservation, Pollution, Depletion