HSC Mathematics

Year 11 Standard

1.1 Algebraic Expressions
1.2 Basic Equations
1.3 Linear Equations

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25 Lessons
2.1 Metric Units
2.2 Accuracy
2.3 Perimeter
2.4 Area
2.5 Volume
2.6 Pythagoras Theorem
2.7 Surface Area
2.8 Time

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50 Lessons
3.1 Interest Rates
3.2 Earning Money
3.3 Taxation
3.4 Spending Money

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32 Lessons
4.1 Descriptive Statistics
4.2 Representing Data
4.3 Exploring Data
4.4 Probability

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42 Lessons

Year 11 Advanced

1.1 Rates of Change
1.2 Differentiation
1.3 Application of Differentiation

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18 Lessons
2.1 Exponential Functions
2.2 Logarithmic Functions
2.3 Graphs
2.4 Applications

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24 Lessons
3.1 Indices
3.2 Surds
3.3 Quadratic Equations
3.4 Algebraic Fractions
3.5 Functions
3.6 Linear Functions
3.7 Quadratic Functions
3.8 Simultaneous Equations
3.9 Cubic polynomials
3.A Graphs of Functions
3.B Absolute Value Functions

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77 Lessons
4.1 Probability
4.2 Expectation
4.3 Discrete Random Variables

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23 Lessons
5.1 Non-Right Angled Triangles
5.2 Trigonometry
5.3 Radian Measure
5.4 Reciprocal Trifonometric Functions
5.5 Trigonometric Properties
5.6 Trigonometric Equations

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37 Lessons

Year 11 Extension 1

1.1 Graphs
1.2 Inequalities
1.3 Inverse Functions
1.4 Parameters
1.5 Remainder and Factor Theorem
1.6 Polynomials

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31 Lessons
2.1 Inverse Trigonometric Functions
2.2 Trigonometric Identities

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14 Lessons
3.1 Rates of Change
3.2 Exponential Growth and Decay
3.3 Related Rates of Change

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15 Lessons
4.1 Permutations and Combinations
4.2 Binomial Theorem

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15 Lessons

Year 12 Standard 1

1.1 Simultaneous Equations
1.2 Modelling
1.3 Pythagoras Theorem

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18 Lessons
4.1 Descriptive Statistics
4.2 Exploring Data

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15 Lessons
5.1 Understanding Networks
5.2 Shortest Paths

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8 Lessons

Year 12 Standard 2

1.1 Simultaneous Equations
1.2 Exponential Model
1.3 Quadratic Model
1.4 Reciprocal Model

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23 Lessons
2.1 Non-Right Angled Triangles
2.3 Trigonometry
2.3 Ratios

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27 Lessons
3.1 Interest Rates
3.2 Loans
3.3 Annuities

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24 Lessons
4.1 Desscriptive Statistics
4.2 Exploring Data
4.3 Normal Distribution

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22 Lessons
5.1 Understanding Networks
5.2 Shortest Paths
5.3 Critical Path Analysis

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11 Lessons

Year 12 Advanced

1.1 Transformations
1.2 Inequalities

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12 Lessons
2.1 Trigonometric Graphs
2.2 Trigonometric Equations
2.3 Trigonometric Models

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19 Lessons
3.1 Differentiation
3.2 Application of Differentiation
3.3 Integration
3.4 Application of Integration

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30 Lessons
4.1 Annuity
4.2 Arithmetic Sequences and Series
4.3 Geometric Sequences and Series
4.4 Financial Mathematics

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17 Lessons
5.1 Descriptive Statistics
5.2 Exploring Data
5.3 Bivariate Data
5.4 Normal Distribution

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36 Lessons

Year 12 Extension 1

1.1 Mathematical Induction
1.2 Divisibility Proofs by Mathematical Induction

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12 Lessons
2.1 Vectors
2.2 Vector Operations
2.3 Projectile Motion

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22 Lessons
3.1 Trigonometric Properties
3.2 Trigonometric Double Angle Formula
3.3 Trigonometric Identities

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15 Lessons
4.1 Integral Calculus
4.2 Applications of Calculus
4.3 Differential Equations

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21 Lessons
5.1 Binomial Distribution
5.2 Normal Approximation

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8 Lessons

Year 12 Extension 2

1.1 Proof
1.2 Inequality Proofs by Mathematical Induction

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21 Lessons
2.1 Vector Operations
2.2 Vectors in Space

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12 Lessons
3.1 Complex Numbers
3.2 Complex Conjugates
3.3 Argand Diagram
3.4 Polar Form
3.5 De Moivre's Theorem

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22 Lessons
4.1 Further Integration
4.2 Integration using Properties

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13 Lessons