I upload videos of my classroom mathematics lessons to my YouTube channel. If you’d like to use them to help you learn, search for the relevant topic below within the section that relates to you:

**Years 7 and 8****Years 9 and 10**- Years 11 and 12, select your course:
**Standard**,**Advanced**,**Extension 1**or**Extension 2**

A few other points for you to be aware of:

- These topics are aligned to the NSW Mathematics curriculum. If you live in another Australian state or territory, please use the Mathspace + Wootube portal.
- Some topics below have “
**related content**” – this includes videos that explain connected skills and concepts, but may not be within the scope of the syllabus. - In some lessons, I teach multiple topics so they don’t fit neatly into a heading below. You can find those videos in Mixed Topics.
- As part of enrichment classes, I’ve taught several concepts that aren’t related directly to the syllabus. You can find those in Mathematical Exploration.

## Stage 4 Mathematics (Years 7 & 8)

**Number & Algebra**

Topic | This playlist includes… |

Computation with Integers | Ordering & calculating with whole numbers |

Fractions, Decimals and Percentages | Operating & converting between number forms |

Basic Financial Mathematics | Purchasing goods |

Basic Ratios & Rates | Operations and graphical representation |

Basic Algebraic Techniques | Introduction to algebra & pronumerals |

Basic Indices | Operations with positive integer & zero indices |

Basic Equations | Solving simple equations |

Basic Linear Relationships | Number patterns & straight line graphs |

**Measurement & Geometry**

Topic | This playlist includes… |

Measuring Basic Shapes | Length, area & volume |

Time | Units of time & time zones |

Pythagoras’ Theorem | Calculating side lengths |

Basic Properties of Geometrical Figures | Classify shapes; congruent triangles |

Angle Relationships | Angle properties, parallel lines (and related content) |

**Statistics & Probability**

Topic | This playlist includes… |

Data Collection & Representation | Surveys, graphs & charts |

Basic Single Variable Analysis | Measures of location & range |

Basic Probability | Chance of simple & compound events |

## Stage 5 Mathematics (Years 9 & 10)

**Number & Algebra**

Topic | This playlist includes… |

Further Financial Mathematics | Earning, Spending & Investing |

Further Ratios and Rates | Proportion problems & working with graphs |

Further Algebraic Techniques | Algebraic fractions & quadratic expressions |

Further Indices | Operations with negative & fractional indices |

Further Equations | Solving quadratic, cubic & simultaneous equations (and related content) |

Further Linear Relationships | Coordinate geometry techniques (and related content) |

Non-Linear Relationships | Sketching & interpreting curved graphs |

Polynomials | Sketching, factor & remainder theorem |

Logarithms | Define logarithms & use laws |

Functions & Other Graphs | Use function notation & sketch graphs |

**Measurement & Geometry**

Topic | This playlist includes… |

Measuring Further Shapes | Area, surface area & volume |

Numbers of Any Magnitude | Scientific notation & significant figures |

Trigonometry | Angles & sides in triangles |

Further Properties of Geometrical Figures | Similar figures, geometric reasoning (and related content) |

Circle Geometry | Deductive arguments with circle theorems |

**Statistics & Probability**

Topic | This playlist includes… |

Further Single Variable Analysis | Quartiles, box plots, standard deviation |

Bivariate Analysis | Relationships between two variables |

Further Probability | Multi-step experiments (and related content) |

## Mathematics Standard 2

**Year 11**

MS-A1 Formulae and Equations

MS-A2 Linear Relationships

MS-M1 Applications of Measurement (and related content)

MS-M2 Working with Time

MS-F1 Money Matters

MS-S1 Data Analysis (and related content)

MS-S2 Relative Frequency and Probability

**Year 12**

MS-A4 Types of Relationships

MS-M6 Non-right-angled Trigonometry

MS-M7 Working with Rates and Ratios

MS-F4 Investments and Loans

MS-F5 Annuities

MS-S4 Bivariate Data Analysis (no specific content, but see related content in MA-S2)

MS-S5 The Normal Distribution

MS-N2 Network Concepts

MS-N3 Critical Path Analysis

## Mathematics Advanced

**Year 11**

MA-F1 Working with Functions (and related content)

MA-T1 Trigonometry and Measure of Angles

MA-T2 Trigonometric Functions and Identities (and related content)

MA-C1 Introduction to Differentiation

MA-E1 Logarithms and Exponentials (and related content)

MA-S1 Probability and Discrete Probability Distributions

**Year 12**

MA-F2 Graphing Techniques (and related content)

MA-T3 Trigonometric Functions and Graphs (and related content)

MA-C2 Differential Calculus (and related content)

MA-C3 Applications of Differentiation (and related content)

MA-C4 Integral Calculus (and related content)

MA-M1 Modelling Financial Situations (and related content)

MA-S2 Descriptive Statistics & Bivariate Data Analysis

MA-S3 Random Variables

## Mathematics Extension 1

**Year 11**

ME-F1 Further Work with Functions (and related content)

ME-F2 Polynomials (and related content)

ME-T1 Inverse Trigonometric Functions (and related content)

ME-T2 Further Trigonometric Identities (and related content)

ME-C1 Rates of Change

ME-A1 Working with Combinatorics

**Year 12**

ME-P1 Introduction to Proof by Mathematical Induction

ME-V1 Introduction to Vectors (comprehensive lessons by Miriam Lees)

ME-T3 Trigonometric Equations

ME-C2 Further Calculus Skills

ME-C3 Applications of Calculus (and related content)

ME-S1 The Binomial Distribution

## Mathematics Extension 2

**Year 12**

MEX-P1 The Nature of Proof

MEX-P2 Further Proof by Mathematical Induction

MEX-V1 Further Work with Vectors

MEX-N1 Introduction to Complex Numbers

MEX-N2 Using Complex Numbers

MEX-C1 Further Integration (and related content)

MEX-M1 Applications of Calculus to Mechanics (and related content)