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 |
| 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) |
| 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 |
| 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 |
| 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)
Wootube 
Thank you so much for this organized list! You are the best! 🙂