Roadmap

Algebra

AL1, AL3 - Algebraic vocabulary and polynomial operations
AL2 - Surds and exact values
AL3, AL4 - Dividing polynomials and the factor theorem
AL2 - Simplifying algebraic fractions
AL5 - Completing the square
AL6 - Setting up equations in one unknown
AL6 - Simultaneous equations in two unknowns
AL7, AL8 - Linear and quadratic inequalities
AL9 - Graphing inequalities in two variables
AL10, AL11 - Recurrence relationships and modelling

Enumeration (counting and probability)

EN2 - Tree diagrams, tables and Venn diagrams
EN3 - Counting with the product rule
EN4 - Permutations (ordered selections)
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EN5 - Combinations (unordered selections)
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EN1 - The binomial expansion
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EN2 - The binomial distribution
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EN6 - Counting and probability problems
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Coordinate geometry

CG1, CG2 - Distances and mid-points
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CG3 - The equation of a circle
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CG4 - Sketching and plotting polynomial graphs
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CG5 - Gradient, intercept, tangent and normal
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CG6–CG8 - Linear programming
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Pythagoras' theorem and trigonometry

PT1 - Trigonometric ratios of any angle
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PT2 - The sine and cosine rules
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PT2 - Ambiguous case of the sine rule
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PT3, PT4 - Trigonometric identities
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PT5 - Solving trigonometric equations
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PT6 - Solving problems in two dimensions
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PT6 - Solving problems in three dimensions
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Calculus

CA1–CA3 - Differentiation and the gradient function
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CA4 - Tangents and normals to curves
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CA5, CA6 - Finding and classifying stationary points
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CA7 - Sketching curves using stationary points
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CA8–CA10 - Integration as the reverse of differentiation
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CA10–CA12 - Definite integrals and areas under curves
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CA13 - Area between two curves
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CA14 - Kinematics with variable acceleration
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CA15 - Constant acceleration formulae
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Exponentials and logarithms

EL1 - Exponential functions and their graphs
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EL2, EL3 - Logarithms and their laws
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EL4, EL5 - Straight-line graphs for exponential models
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EL4, EL5 - Straight-line graphs for power laws
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EL6 - Solving exponential equations
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EL7 - Exponential growth and decay
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Numerical methods

NM1 - Locating roots by change of sign
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NM2, NM3 - Iteration and when methods fail
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NM4, NM5 - Estimating gradients with chords
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NM6–NM8 - The trapezium rule and area estimates
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NM9 - Numerical methods in context
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