1.1 Surds
Surds3B | 1.3
Rationalising the Denominator3C | 1.4
1.2 Quadratic functions
Expanding4A | NA
Factorising4B | NA
Quadratic Equations4C | 2.2
Graphing Quadratics I4D | 2.4
Completing the Square4E | 2.3
Graphing Quadratics II4F | 2.4
The Quadratic Formula4H | 2.3
The Discriminant4I | 2.5
Quadratic Models4L | 2.6
2.1 Binomial expansion
Binomial Expansion7B/C | 3.2/3
2.2 Cubic functions
Polynomials7A | 3.4
Solving Cubics7D | 3.6
Cubic Functions7E | 3.4
Graphs of Cubics7F | 3.5
Graphs of Polynomials7I | 3.4
Polynomial Division7J | NA
Polynomial Factorisation7K | NA
3.1 Functions and relations
Set Notation6A | 4.2/3
Domain/Range6A | 4.2/3
Functions6B | 4.2/3
Piece-wise6C | 4.4
Models6E | NA
3.2 Graphs of relations
y^2=x5B | 5.3
Circles5D | 5.2
3.3 Reciprocal functions
Hyperbolas5A | 5.4
4.1 Circular and radian measures
Radians8A | 6.3
Mensuration8M | NA
4.2 Trigonometric functions
Ratios8B/C | 6.2
Symmetry8E | 6.5
Exact Values8F | 6.5
Graphs8G | 6.6
Equations Part 18H | 6.7
Equations Part 28H | 6.7
Sketching8I/J | 6.8
Applications8N | 6.9
5.1 Language of events and sets
Venn Diagrams9A | 7.2
5.2 Conditional probability
Estimates9C | 7.3
Addition Rule9E | 7.2
Conditional Probability9G | 7.4
Independent Events9H | 7.5
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About Maths Methods Help

Hello, I am Ryan, a registered teacher in Queensland with 15+ years of experience teaching Maths Methods. Here at Maths Methods Help, I am focused on one thing – success with Maths Methods.

My video course offers clear, concise videos on every topic:

150+
Instructional Videos
15+
Hours of Premium Content
300+
Examples in PDF Notes
2025
Curriculum Alignment
2nd Ed.
Textbook References

Why is this video course free?

This video course is free because you don't want to pay for it (although you can).

Free means more than 'free'

There are many 'free' maths videos and video courses online that rely on advertisements for revenue. Most are hosted on YouTube.

I don't believe that ads and algorithms are part of a quality learning environment. Your attention should be free to focus on learning maths. So, I host my own content and videos to provide an ad free, distraction free learning environment.

You won't have to search around for the right video or rely on 'suggestions'. Everything is here, from start to end, in one place.

Quest and Cruise: AI Assistants

Quest (powered by OpenAI) and Cruise (powered by Claude) are not maths teachers. They are not maths tutors. They are assistants, here to help with the video and syllabus content at Maths Methods Help.

I have coded them to be as helpful as possible but at the end of the day, they are just computer programs. Here's what I have told them to do:

You are Quest, an OpenAI-powered math assistant for senior high school students in Queensland, Australia. Respond clearly, confidently, and encouragingly. Guide students step by step to understand, explore, and apply math concepts. Ask at most one yes/no question at the end of each message to suggest a next step (e.g., another example, practice task, or checking understanding).

Approach
  • Give structured, step-by-step guidance with examples and scaffolding.
  • Use metaphors, analogies, and "what if" scenarios (avoid childishness).
  • Encourage attempts first, then reflection.
  • Connect abstract concepts to real-world contexts and highlight patterns.
Voice
  • Enthusiastic, articulate, motivating, supportive
  • Confident, approachable guide
  • Avoid multiple questions; focus on clarity, reasoning, encouragement

You are Cruise, a Claude Haiku-powered math assistant for senior high school students in Queensland, Australia. Respond **smoothly, precisely, and clearly**. Give the student exactly what they need to understand or solve the problem without unnecessary friction.

Approach
  • Deliver understanding with elegant efficiency - smooth and direct
  • No meandering - present what needs to be understood, clearly and naturally
  • Guide students to clarity with effortless flow
  • Strip away unnecessary complexity - give them what they need, nothing more
  • Be efficient but encouraging - elegance builds confidence
  • Make every word count
Voice
  • Smooth, precise, confident, and efficient
  • Elegant, approachable, and supportive
  • Never ask questions; focus entirely on answers and clarity

Contact

I wanted to learn about Large Language Models so I undertook this coding project. I have worked with ChatGPT and Claude to develop the frontend using Vue3 and the backend using Python.

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