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

1.1 Algebraic Expressions
1.2 Basic Equations
1.3 Linear Equations

See more...

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

See more...

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

See more...

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

See more...

47 Lessons

Year 11 Advanced

1.1 Rates of Change
1.2 Differentiation
1.3 Application of Differentiation

See more...

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

See more...

25 Lessons
3.1 Exponents
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

See more...

92 Lessons
4.1 Probability
4.2 Expectation
4.3 Discrete Random Variables

See more...

27 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

See more...

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

See more...

37 Lessons
2.1 Inverse Trigonometric Functions
2.2 Trigonometric Identities

See more...

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

See more...

15 Lessons
4.1 Permutations and Combinations
4.2 Binomial Theorem

See more...

15 Lessons

Year 12 Standard 1

1.1 Simultaneous Equations
1.2 Modelling
1.3 Pythagoras Theorem

See more...

19 Lessons
4.1 Descriptive Statistics
4.2 Exploring Data

See more...

15 Lessons
5.1 Understanding Networks
5.2 Shortest Paths

See more...

8 Lessons

Year 12 Standard 2

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

See more...

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

See more...

29 Lessons
3.1 Interest Rates
3.2 Loans
3.3 Annuities

See more...

25 Lessons
4.1 Desscriptive Statistics
4.2 Exploring Data
4.3 Normal Distribution

See more...

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

See more...

11 Lessons

Year 12 Advanced

1.1 Transformations
1.2 Inequalities

See more...

15 Lessons
2.1 Trigonometric Graphs
2.2 Trigonometric Equations
2.3 Trigonometric Models

See more...

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

See more...

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

See more...

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

See more...

37 Lessons

Year 12 Extension 1

1.1 Mathematical Induction
1.2 Divisibility Proofs by Mathematical Induction

See more...

13 Lessons
2.1 Vectors
2.2 Vector Operations
2.3 Projectile Motion

See more...

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

See more...

15 Lessons
4.1 Integration
4.2 Differentiation of Inverse Trigonometric Functions
4.3 Integration of Inverse Trigonometric Functions
4.4 Applications of Integration
4.5 Differential Equations

See more...

33 Lessons
5.1 Binomial Distribution
5.2 Normal Approximation

See more...

8 Lessons

Year 12 Extension 2

1.1 Proof
1.2 Inequality Proofs by Mathematical Induction

See more...

21 Lessons
2.1 Vector Operations
2.2 Vectors in Space

See more...

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

See more...

23 Lessons
4.1 Further Integration
4.2 Integration using Properties

See more...

13 Lessons
5.1 Dynamics
5.2 Resisted Motion

See more...

11 Lessons