# HSC Mathematics

## HSC Maths Online Courses

HSC Mathematics is a senior level high school course that covers a wide range of mathematical concepts and skills. The course is designed to provide students with a strong foundation in mathematics, as well as prepare them for further study in mathematics or related fields.

The course is broken down into two levels: HSC Mathematics Standard and HSC Mathematics Advanced. HSC Mathematics Standard covers topics such as algebra, functions, geometry, probability, and statistics, while HSC Mathematics Advanced delves deeper into these topics and also includes calculus and vectors.

Throughout the course, students are challenged to think critically and creatively, to solve complex problems, and to communicate their mathematical ideas effectively. They also develop important skills such as logical reasoning, analytical thinking, and problem-solving.

HSC Mathematics is an important subject for students who plan to pursue further education in fields such as science, technology, engineering, and mathematics (STEM), as well as finance, economics, and other related fields. It provides students with a strong foundation in mathematical concepts and skills that are essential for success in these fields.

Overall, HSC Mathematics is a challenging but rewarding course that can help students develop important skills and prepare them for further study and success in their chosen careers.

# Year 11 Standard

22 Lessons

## HSC Year 11 Mathematics Standard – Algebra

1.1 Algebraic Expressions1.2 Basic Equations1.3 Linear Equations

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51 Lessons

## HSC Year 11 Mathematics Standard – Measurement

2.1 Metric Units2.2 Accuracy2.3 Perimeter2.4 Area2.5 Volume2.6 Pythagoras Theorem2.7 Surface Area2.8 Time

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27 Lessons

## HSC Year 11 Mathematics Standard – Financial Mathematics

3.1 Interest Rates3.2 Earning Money3.3 Taxation3.4 Spending Money

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43 Lessons

## HSC Year 11 Mathematics Standard – Statistical Analysis

4.1 Descriptive Statistics4.2 Representing Data4.3 Exploring Data4.4 Probability

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17 Lessons

## HSC Year 11 Mathematics Advanced – Calculus

1.1 Rates of Change1.2 Differentiation1.3 Application of Differentiation

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21 Lessons

## HSC Year 11 Mathematics Advanced – Exponential and Logarithmic Functions

2.1 Exponential Functions2.2 Logarithmic Functions2.3 Graphs2.4 Applications

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82 Lessons

## HSC Year 11 Mathematics Advanced – Functions

3.1 Exponents3.2 Surds3.3 Quadratic Equations3.4 Algebraic Fractions3.5 Functions3.6 Linear Functions3.7 Quadratic Functions3.8 Simultaneous Equations3.9 Cubic polynomials3.A Graphs of Functions3.B Absolute…

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24 Lessons

## HSC Year 11 Mathematics Advanced – Statistical Analysis

4.1 Probability4.2 Expectation4.3 Discrete Random Variables

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30 Lessons

## HSC Year 11 Mathematics Advanced – Trigonometric Functions

5.1 Non-Right Angled Triangles5.2 Trigonometry5.3 Radian Measure5.4 Reciprocal Trifonometric Functions5.5 Trigonometric Properties5.6 Trigonometric Equations

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# Year 11 Extension 1

31 Lessons

## HSC Year 11 Mathematics Extension 1 – Functions

1.1 Graphs1.2 Inequalities1.3 Inverse Functions1.4 Parameters1.5 Remainder and Factor Theorem1.6 Polynomials

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16 Lessons

## HSC Year 11 Mathematics Extension 1 – Trigonometric Functions

2.1 Inverse Trigonometric Functions2.2 Trigonometric Identities

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12 Lessons

## HSC Year 11 Mathematics Extension 1 – Calculus

3.1 Rates of Change3.2 Exponential Growth and Decay3.3 Related Rates of Change

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13 Lessons

## HSC Year 11 Mathematics Extension 1 – Combinatorics

4.1 Permutations and Combinations4.2 Binomial Theorem

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# Year 12 Standard 1

16 Lessons

## HSC Year 12 Mathematics Standard 1 – Algebra

1.1 Simultaneous Equations1.2 Modelling1.3 Pythagoras Theorem

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17 Lessons

## HSC Year 12 Mathematics Standard 1 – Measurement

2.1 Trigonometry2.2 Rates

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13 Lessons

## HSC Year 12 Mathematics Standard 1 – Financial Mathematics

3.1 Interest Rates3.2 Borrowing Money

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13 Lessons

## HSC Year 12 Mathematics Standard 1 – Statistical Analysis

4.1 Descriptive Statistics4.2 Exploring Data

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6 Lessons

## HSC Year 12 Mathematics Standard 1 – Networks

5.1 Understanding Networks5.2 Shortest Paths

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# Year 12 Standard 2

20 Lessons

## HSC Year 12 Mathematics Standard 2 – Algebra

1.1 Simultaneous Equations1.2 Exponential Model1.3 Quadratic Model1.4 Reciprocal Model

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25 Lessons

## HSC Year 12 Mathematics Standard 2 – Measurement

2.1 Non-Right Angled Triangles2.3 Trigonometry2.3 Ratios

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22 Lessons

## HSC Year 12 Mathematics Standard 2 – Financial Mathematics

3.1 Interest Rates3.2 Loans3.3 Annuities

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19 Lessons

## HSC Year 12 Mathematics Standard 2 – Statistical Analysis

4.1 Desscriptive Statistics4.2 Exploring Data4.3 Normal Distribution

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8 Lessons

## HSC Year 12 Mathematics Standard 2 – Networks

5.1 Understanding Networks5.2 Shortest Paths5.3 Critical Path Analysis

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13 Lessons

## HSC Year 12 Mathematics Advanced – Functions

1.1 Transformations1.2 Inequalities

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16 Lessons

## HSC Year 12 Mathematics Advanced – Trigonometric Functions

2.1 Trigonometric Graphs2.2 Trigonometric Equations2.3 Trigonometric Models

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32 Lessons

## HSC Year 12 Mathematics Advanced – Calculus

3.1 Differentiation3.2 Application of Differentiation3.3 Integration3.4 Application of Integration

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17 Lessons

## HSC Year 12 Mathematics Advanced – Financial Mathematics

4.1 Annuity4.2 Arithmetic Sequences and Series4.3 Geometric Sequences and Series4.4 Financial Mathematics

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33 Lessons

## HSC Year 12 Mathematics Advanced – Statistical Analysis

5.1 Descriptive Statistics5.2 Exploring Data5.3 Bivariate Data5.4 Normal Distribution

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# Year 12 Extension 1

11 Lessons

## HSC Year 12 Mathematics Extension 1 – Proof

1.1 Mathematical Induction1.2 Divisibility Proofs by Mathematical Induction

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21 Lessons

## HSC Year 12 Mathematics Extension 1 – Vectors

2.1 Vectors2.2 Vector Operations2.3 Projectile Motion

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12 Lessons

## HSC Year 12 Mathematics Extension 1 – Trigonometric Functions

3.1 Trigonometric Properties3.2 Trigonometric Double Angle Formula3.3 Trigonometric Identities

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28 Lessons

## HSC Year 12 Mathematics Extension 1 – Calculus

4.1 Integration4.2 Differentiation of Inverse Trigonometric Functions4.3 Integration of Inverse Trigonometric Functions4.4 Applications of Integration4.5 Differential Equations

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6 Lessons

## HSC Year 12 Mathematics Extension 1 – Statistical Analysis

5.1 Binomial Distribution5.2 Normal Approximation

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# Year 12 Extension 2

19 Lessons

## HSC Year 12 Mathematics Extension 2 – Proof

1.1 Proof1.2 Inequality Proofs by Mathematical Induction

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10 Lessons

## HSC Year 12 Mathematics Extension 2 – Vectors

2.1 Vector Operations2.2 Vectors in Space

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18 Lessons

## HSC Year 12 Mathematics Extension 2 – Complex Numbers

3.1 Complex Numbers3.2 Complex Conjugates3.3 Argand Diagram3.4 Polar Form3.5 De Moivre's Theorem

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11 Lessons

## HSC Year 12 Mathematics Extension 2 – Calculus

4.1 Further Integration4.2 Integration using Properties

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9 Lessons

## HSC Year 12 Mathematics Extension 2 – Mechanics

5.1 Dynamics5.2 Resisted Motion

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