**Year 12 Further Mathematics**

**Year 12 Further Mathematics**

**Topics in Year 12**

**Topics in Year 12**

## Prior Knowledge

**Pure AS**

**Coordinate geometry**

**Pure AS**

**Surds and indices**

**Pure AS**

**Quadratic functions**

**Pure AS**

**Equations and inequalities**

**Pure AS**

**Polynomials**

**Pure AS**

**The binomial distribution**

**Pure AS**

**The binomial expansion**

**Pure AS**

**Differentiation**

**Mech AS**

**Kinematics**

**Mech AS**

**Variable acceleration (Part 1: Using calculus**

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**Pure AS**

**Integration**

**Year 12 Autumn**

Pure AS Exponentials and logarithms [10]
Pure AS Problem solving, Pure A2 Proof [10] Pure AS Coordinate geometry, Quadratic functions, Polynomials [6] Pure AS Graphs and transformations [10, with next section] Pure A2 Functions [included above] |
Pure AS Trigonometry, Pure A2 Trigonometry, Pure A2 Trigonometric functions, Pure A2 Trigonometric identities [20]
Pure AS Differentiation (part), Differentiation (part), Further differentiation [16] |

**November Assessment - this will cover all topics from the start of the year.**

SMC [6]
Pure AS Vectors and Pure A2 Vectors [6] Mech AS Variable acceleration [4] Mech AS Kinematics [4] Mech AS Forces and Newton's laws [6] Mech A2 Kinematics, Mech A2 Forces and motion [7] AL Friction [6 |
Pure AS Differentiation (rest)
Pure A2 Differentiation (rest) Pure A2 Further differentiation (rest) [8] Stats AS Probability [4] REVIEW AS The binomial distribution [2] REVIEW Pure AS The binomial expansion [2] Pure AL Algebra [6] Stats AS Statistical hypothesis testing [6] Stats AS Collecting and interpreting data (sections 2 & 3, not sampling) [8] |

**Year 12 Spring**

**February Assessment - this will cover all topics from the start of the year.**

Pure AL Numerical methods [8]
For 2018 this topic has already been covered on the Pure/Stats side. This time will instead be used to finish mechanics. |
Review Differentiation [4]
Review Pure AS Integration [prior knowledge] Pure A2 Integration [18] Also: Integrate by inspection! Pure AL Differential equations [4] |