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Preamble

(Apologies for the long preamble.)

Although this vault will contain a student’s personal notes, please do NOT use this as a substitute for your own notes. You may treat this as a supplementary study resource for additional information and other perspectives.

This vault attempts its best to comply with NESA’s All My Own Work program. It is intending to provide students an additional online resource for (mostly) syllabus-based¹ and textbook-based² notes . If those from NESA wish to take this down, please contact icecoldcup.corsage594@passinbox.com.

Warnings

This vault is in a constant work-in-progress state. Notes may be updated, added, or removed depending on its reliability and state of completion. Below, you will see the progress of each subject’s status of completion in terms of compiling notes in this vault.

For Mathematics Advanced, diagrams and visual aids will NOT be available due to technical limitations. To substitute this, consider using https://desmos.com/calculator and calculate the equations provided.

Legacy Notes

Notes from Stage 5 may be imported in the future when the author has time. These notes (specifically for Science) may also need re-formatting due to technical changes (swapping from LaTeX to Typst).

However, they are still available on the old website: https://cups-code.github.io/toPi/

toPi, 2nd Edition

toPi 2e is a set of published notes, authored by davopi, for certain Stage 6 (NSW) subjects. These subjects include the following:

• 🧮 Mathematics Advanced (2024 Syllabus)
• 👨‍👩‍👧 Community and Family Studies
• 🧑‍🤝‍🧑 Society and Culture

The subjects may be added in the future. There is currently no notes available online for these subjects.

• ✏️ English Advanced (2024 Syllabus)
• 🇰🇷 Korean Continuers
• 🎼 Music 1

You can navigate these notes by:

1. going to the links in the bottom section of this homepage, or
2. using the explorer on the left-hand side (you can also click on each topic to see a list of files in that folder), or
3. using CMD/CTRL+K.

✏️ English Advanced (2024 Syllabus)

Unavailable

There is no content currently available for this section.

🧮 Mathematics Advanced (2024 Syllabus)

Note

These notes are based on chapters and exercises on the Stage 6 Maths in Focus 5th Edition.

Year 11

Functions and Relations (🚧)

• 3.01 - Functions and Relations
• 3.02 - Function Notation and Piecewise Functions
• 3.03 - Domain, Range, Even, and Odd Functions
• Linear Functions :: N/A at this time

Introduction to Differential Calculus (Differentiation)

• 6.01 - Rates of Change
• 6.02 - Differentiation from First Principles
• 6.03 - The Derivative of xⁿ
• 6.04 - Applications of Differentiation
• 6.05 - Tangents and Normals
• 6.06 - The Chain Rule
• 6.07 - The Product Rule
• 6.08 - The Quotient Rule
• Bonus Content
  • Describing the Behaviour of Functions
  • Differentiation Notation
  • Differentiation Rules

Exponentials and Logarithmic Functions

• 7.01 + 7.02 - Exponential Functions and Euler’s Number
• 7.04 - Logarithms

Transformations

• 8.01 + 8.02 - Translations
• 8.03 - Reflections
• 8.04 + 8.05 - Dilations
• 8.06 + 8.07 - Combined Transformations

👨‍👩‍👧 Community and Family Studies

Year 11

Core 1 – Fundamental Concepts

• MF-1 Fundamental Concepts of Resource Management

🎼 Music 1

Unavailable

This content is currently unavailable, as it must be validated to comply with NESA’s AMOW program.

🧑‍🤝‍🧑 Society and Culture

Before continuing with this section, consider reading the overview.

Footnotes

1. e.g. the Society and Culture section of this vault ↩

2. e.g. the Mathematics Advanced section of this vault, which is complementary to Maths in Focus 5e ↩