Algebra
Also refer to Maths notes
| Background knowledge | Description |
|---|---|
| What is algebra? | The lesson explains what algebra is and why it is so useful. A demonstration of what algebra is is given in the form of a magic trick that can be easily learned. |
| Solving linear equations | Explains how to solve linear equations. The reasoning behind the steps is explained and and the student is taken step by step through an example. |
| Simultaneous equations | These lessons explain what simultaneous equations are, methods for solving them, and the reasons why the methods work as they do. |
|---|---|
| Lesson 1 | Lesson 1 shows what simultaneous equations are and how to solve them graphically. |
| Lesson 2 | Lesson 2 shows how to solve them by equating and by substitution. |
| Lesson 3 | Lesson 3 shows how to solve them by adding equations. |
| Lesson 4 | Lesson 4 works through two examples. |
| Quadratic equations | Lessons that deal with solving quadratic equations. |
|---|---|
| Lesson 1 | Lesson 1 shows the simplest form of quadratic equations and demonstrates its wide range of usefulness despite its simplicity. |
| Lesson 2 | Lesson 2 introduces factorising and shows how to solve quadratic equations in which the coefficient of the squared term is equal to 1. |
| Lesson 3 | Lesson 3 shows how to solve more difficult quadratic equations in which the coefficient of the squared term is greater than 1. |
| Lesson 4 | Lesson 4 introduces a compact way of factorising quadratic expressions that is more efficient than the conventional method. |
| Lesson5 | Lesson 5 shows how to solve quadratic equations by completing the square. |
| Lesson 6 | Lesson 6 shows how to solve quadratic equations directly by using the quadratic formula. |
| Lesson 7 | Lesson 7 shows how to determine the nature of the roots of quadratic equations. |