Mathematics

this document provides notes on the nature of roots suitable for a grade 12 learner that comes with an example and practise questions as well as answers

This document is the complete breakdown of basic mathematics to help you under each section much more clearer and with a better understanding

This document contains a collection of essential theorems and their proofs, covering key concepts in geometry. Each theorem is presented on a separate page, making it easy to focus on individual concepts. The notes are designed to help students understand the underlying principles and develop their proof-writing skills. Key Features: - Clear and Concise: Each theorem and proof is presented straightforwardly, using clear language and concise explanations. - Step-by-step Proofs: The proofs ...

These notes cover the following topics: - Trigonometric ratios - Co-ratios - Reduction formulae - Special angles - K-substitution - Identities - Trig equations - General solutions - Trig functions - Sine, cosine, and tangent graphs - Right-angled triangles - The area rule - The sine rule - The cosine rule - Compound angle identities - Double angles identities These notes are concise and easy to understand. They are perfect for students who want to review trigonometry quickly...

This document is a summary of key concepts and theorems in Euclidean geometry, focusing on: - Parallel Lines: Includes relationships involving corresponding, alternate, and co-interior angles. - Circles: Covers properties of centres, diameters, radii, angles in semicircles, and relationships between them. Also addresses chords, perpendicular bisectors, and the theorem regarding a tangent perpendicular to a radius. - Tangents: States that tangents from the same point are equal in length. - ...

These comprehensive notes cover key concepts in analytical geometry. Whether you're a student tackling the subject for the first time or looking for a quick refresher, these notes cover all the essential concepts and formulas: - Circles: Understand equations, find centres and radii, and explore intersecting circles. - Straight Lines: Grasp gradients, midpoints, distances, and the relationships between parallel and perpendicular lines. - Special Lines: Learn about medians, altitudes, and ...

Detailed Paper 1 Mathematics notes for grade 10 -12. Made by an IEB student (but is suitable for the NSC curriculum) who matriculated in 2023 and got a final mark of 95% using these notes. Including some worked through examples. Includes the following sections: - Algebra, equations and inequalities - patterns and sequences - Finance, growth and decay - Functions and graphs - Differential calculus - Probability

Detailed Paper 2 Mathematics notes for grade 10 -12. Made by an IEB student (but is suitable for the NSC curriculum) who matriculated in 2023 and got a final mark of 95% using these notes. Including some worked through examples. Includes the following sections: - Statistics/ Data handling - Analytical geometry - Trigonometry - Euclidean geometry - Measurements (areas of common shapes)

This document is a summary of a grade 12 mathematics topic.So the topic is now summarized in a document