M1Maths |
AlgebraLevel 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 1 is Years 5-7, Level 6 Years 11-12. The learning sequence for Algebra is somewhat unconventional. Algebra is treated as the study and use of relations, a relation being information which allows us to find the value of one quantity if we know the value of another quantity. As such, all new knowledge is presented as a technique for solving real-life problems: nothing is introduced as an abstract idea or as something that will be needed later. This avoids the common lament of 'When are we ever going to use this?' By the time a student reaches the end of Level 4 or 5, s/he will know evrything a student taught traditionally will know, but the knowledge will seem more coherent, meaningful and useful. |
A1: Algebra - Level 1 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 1 modules. |
A1-1 | pdf docx | Relations 1 |
| 3 h | |
A1-2 | pdf docx | Relations 2 |
| 3 h | A1-1 |
A1-3 | pdf docx | Patterns |
| 3 h | A1-2 |
A1-4 | pdf docx | Discrete vs Continuous Relations |
| 2 h | A1-3 |
A1-5 | pdf docx | Substitution |
| 3 h | A1-4 |
A1-6 | pdf docx | Equations |
| 7 h | A1-5 |
A2: Algebra - Level 2 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 2 modules. |
A2-1 | pdf docx | Writing Equations |
| 3 h | |
A2-2 | pdf docx | Collecting Terms |
| 2 h | A2-1 |
A2-3 | pdf docx | Expanding |
| 3 h | A2-2 |
A3: Algebra - Level 3 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 3 modules. |
A3-1 | pdf docx | Undoing the Unknown |
| 3 h | |
A3-2 | pdf docx | Choosing the Unknown |
| 2 h | A3-1 |
A3-3 | pdf docx | Squares and Fractions |
| 4 h | A3-2 |
A3-4 | pdf docx | Rearranging Formulae |
| 2 h | A3-3 |
A3-5 | pdf docx | Solving by Graphing |
| 2 h | |
A3-6 | pdf docx | Domain and Range |
| 2 h | |
A3-7 | pdf docx | Functions |
| 3 h | A3-6 |
A3-8 | pdf docx | Linear Functions |
| 5 h | A3-7 M3-3 |
A3-9 | pdf docx | Reciprocal Functions |
| 2 h | A3-8 |
A3-10 | pdf docx | Index Laws 1-5 |
| 4 h | |
A3-10 | pdf docx | Index Laws 1-5 | Alternative 'Learn' Section: Learning by Thinking | 5 h |
A4: Algebra - Level 4 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 4 modules. |
A4-1 | pdf docx | Factorising |
| 5 h | |
A4-2 | pdf docx | Quadratic Functions |
| 6 h | A4-1 |
A4-3 | pdf docx | Simultaneous Equations - Linear |
| 6 h | |
A4-4 | pdf docx | Inequalities |
| 1 h | |
A4-5 | pdf docx | Algebraic Fractions |
| 3 h | A4-1 |
A4-6 | pdf docx | Algebraic Proofs |
| 2 h |
A5: Algebra - Level 5 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 5 modules. |
A5-1 | pdf docx | Polynomial Functions |
| 3 h | < |
A5-2 | pdf docx | Index Laws 6-10 |
| 3 h | |
A5-2 | pdf docx | Index Laws 6-10 | Alternative 'Learn' Section: Learning by Thinking | 4 h | |
A5-3 | pdf docx | Power Functions |
| 2 h | A5-2 |
A5-4 | pdf docx | Exponential Functions and Logs |
| 5 h | A5-2 |
A5-5 | pdf docx | Simultaneous Equations - General |
| 6 h | A5-3 A5-4 |
A5-6 | pdf docx | Finding Formulae for Functions |
| 3 h | A5-5 |
A5-7 | pdf docx | Model Functions |
| 3 h | A5-6 |
A5-8 | pdf docx | Calculator Equation Solving |
| 1 h | A5-1 |
A5-9 | pdf docx | Algebraic Transformations |
| 4 h | |
A5-10 | pdf docx | Further Relations |
| 5 h | A5-1 |
A5-11 | pdf docx | Trigonometric Functions |
| 5 h | M5-1 |
A5-12 | pdf docx | Trigonometric Equations |
| 5 h | A5-11 M5-1 |
A5-13 | pdf docx | Logs |
| 7 h | A5-4 |
A6: Algebra - Level 6 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 6 modules. |
A6-1 | pdf docx | Combinations and the Binomial Expansion |
| 6 h | |
A6-2 | pdf docx | Arithmetic Sequences |
| 4 h | |
A6-3 | pdf docx | Geometric Sequences |
| 3 h | A6-2 |
A6-4 | pdf docx | Linear Programming |
| 3 h | |
A6-5 | pdf docx | Further Methods of Proof |
| 3 h | |
A6-6 | pdf docx | Loci and Conic Sections |
| 4 h |
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