Year 12 Further Mathematics

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)
Pure AS Integration

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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]

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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]

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Year 12 Spring

Mech AL Projectiles [10]
Mech AL Moments of forces [6]
Pure A2 Sequences and series [8]

Stats AS Collecting and interpreting data (section 1) [10]
Stats AS Large data set resources [12]

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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]

Year 12 Summer

Year 13 Autumn

Year 13 Spring