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Mathematics · A Level · £6.99

A Level Mathematics
Scheme of Work

A Level Maths Scheme of Work — Board-Neutral

Forty-eight pages built on the one document every specification in England is made from: the DfE subject content for AS and A level mathematics, its nineteen lettered sections and its three overarching themes. It runs unchanged on every board. Differentiation from first principles gets a full week before the rule, and every Year 13 technique is derived from something already known rather than announced. The last six weeks are diagnosis-led: every lost mark on two mock papers is categorised, and each student’s plan is built from their own totals.

£6.99The A Level scheme: 6 units across Year 12 and Year 13, 48 pages

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Read before publication by the serving head of that department and by senior leaders, in school.

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Complete your Mathematics

Every key stage: Maths scheme of work

Everything else this site has for Mathematics: Mathematics teaching resources

  1. 1aFoundations: Proof, Algebra, Functions and Coordinate Geometry
  2. 1bCalculus Begins: Trigonometry, Exponentials, Differentiation and Integration
  3. 1cApplied Mathematics: Statistics, Mechanics and Vectors
  4. 2aExtending the Pure: Functions, Series, Identities and Advanced Differentiation
  5. 2bCompleting the Course: Integration, Numerical Methods, and the Applied Extensions
  6. 2cSynoptic Fluency: Diagnosis, Technique and the Examinations
Cover of A Level Mathematics Scheme of Work

Ten sections per unit, in the same order every time. Phases rather than single lessons, because A Level mathematics is timetabled at five hours a week.

The nineteen sections are distributed across six units rather than taught in alphabetical order, and the three overarching themes are named where each is deliberately taught rather than left as a claim that they are threaded throughout.

One diagram per unit: the discriminant as a condition, the shrinking chord, the critical region, one curve differentiated three ways, the trapezium rule’s error, and the four-category mark analysis the last term is planned from.

Written to
The DfE subject content for AS and A level mathematics (for teaching from 2017)
Intended for
heads of department, subject leaders and every teacher who has to deliver it
Extent
48 pages · 15 sections

The sequence

What this scheme of work covers, unit by unit

The 6 units of the A Level Mathematics Scheme of Work, in teaching order, with the term each one runs in and the question it is built to answer.

  1. 1a

    Foundations: Proof, Algebra, Functions and Coordinate Geometry

    Year 12 · Autumn · approx. 13 weeks · September – December

    Why is an argument that works for every case you tried still not a proof?

  2. 1b

    Calculus Begins: Trigonometry, Exponentials, Differentiation and Integration

    Year 12 · Spring · approx. 11 weeks · January – March

    What is a gradient at a single point, when a gradient needs two?

  3. 1c

    Applied Mathematics: Statistics, Mechanics and Vectors

    Year 12 · Summer · approx. 12 weeks · April – July

    What is a hypothesis test actually telling you, and what is it not?

  4. 2a

    Extending the Pure: Functions, Series, Identities and Advanced Differentiation

    Year 13 · Autumn · approx. 13 weeks · September – December

    Why does the chain rule work, rather than merely happen to?

  5. 2b

    Completing the Course: Integration, Numerical Methods, and the Applied Extensions

    Year 13 · Spring · approx. 11 weeks · January – March

    What do you do when the integral has no answer?

  6. 2c

    Synoptic Fluency: Diagnosis, Technique and the Examinations

    Year 13 · Summer · approx. 6 weeks · April – May

    You know the mathematics. Why are you still losing marks?

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Contents

All 15 sections

Taken from the book’s own contents page, so the page numbers are the real ones.

01Subject content coveragep4
021A · Foundations: Proof, Algebra, Functions and Coordinate Geometryp6
031B · Calculus Begins: Trigonometry, Exponentials, Differentiation and Integrationp12
041C · Applied Mathematics: Statistics, Mechanics and Vectorsp18
052A · Extending the Pure: Functions, Series, Identities and Advanced Differentiationp24
062B · Completing the Course: Integration, Numerical Methods, and the Applied Extensionsp30
072C · Synoptic Fluency: Diagnosis, Technique and the Examinationsp36
08Marking loadp41
09Retrieval and spacingp42
10The three overarching themes, and where each is actually assessedp43
11The prerequisite map — what each unit assumes, and what breaks without itp44
12Core representations — the pictures this course actually needsp45
13What the calculator is for, and what it must not replacep46
14What varies between boards — check these before you timetablep47
15How we know it workedp48
Next: Year 7 Science

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