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England GCSE

England GCSE Mathematics · Foundation

Dedicated Foundation teaching, practice and assessment

Covers basic and additional Foundation content. Mixed-demand modules have separate Foundation editions. England GCSE remains separate from International GCSE; use your board’s current assessment arrangements and authorised specimen papers.

Official source: AQA 8300 basic and additional Foundation columns · DfE common content

Two-year teaching plan · 72 teaching weeks

Plan around four mathematics periods per week. Each module has three suggested sessions: explanation and worked examples; practice with correction; written application and feedback. Spread 51 modules over weeks 1–60, allowing extra time for difficult concepts. Use the remaining periods for diagnostics, retrieval, investigations and reteaching. Weeks 61–72 consolidate mixed problems and board-specific examination preparation.

Begin each term with retrieval and finish with a cumulative checkpoint. These original assessments support learning; they are not calibrated official mock exams and do not generate qualification grades. Use your board’s authorised specimen materials for final exam-format preparation.

Use the dedicated Foundation or Core route for lower-tier learners. Its lesson editions, practice and assessment papers are selected together; higher-tier extensions remain in the separate Higher and Extended routes. Review written reasoning alongside saved checks.

Course map and syllabus evidence

References are editorial links to syllabus topics, not certification that every possible examination problem is represented. Open a module in your workspace for teaching, examples, practice and its protected markscheme.

Number
  1. Signed numbers and operation order

    Foundation · 3 models · 12 checks · written application

    N1 · N2 · N3

  2. Primes, factors and multiples

    Foundation · 3 models · 12 checks · written application

    N4

  3. Fractions and mixed numbers

    Foundation · 3 models · 12 checks · written application

    N2 · N8 · N10 · R3

  4. Decimals, fractions and percentages

    Foundation · 3 models · 12 checks · written application

    N8 · N10 · N12

  5. Powers, roots and index laws

    Foundation · 3 models · 12 checks · written application

    N6 · N7

  6. Standard form and calculator displays

    Foundation · 3 models · 12 checks · written application

    N9

  7. Estimation, rounding and error intervals

    Foundation · 3 models · 12 checks · written application

    N14 · N15 · N16

Ratio and rates
  1. Ratios, sharing and proportional reasoning

    Foundation · 3 models · 12 checks · written application

    N11 · R4 · R5 · R6 · R7 · R8

  2. Percentage change, reverse percentages and interest

    Foundation · 3 models · 12 checks · written application

    R9

  3. Repeated percentage change

    Foundation · 3 models · 12 checks · written application

    R16

  4. Direct and inverse proportion in context

    Foundation · 3 models · 12 checks · written application

    R10 · R13 · R14

  5. Units, money, timetables and compound measures

    Foundation · 3 models · 12 checks · written application

    N13 · R1 · R11 · G14

  6. Scale drawings and best value

    Foundation · 3 models · 12 checks · written application

    R2

Algebra
  1. Algebraic language and substitution

    Foundation · 3 models · 12 checks · written application

    A1 · A2 · A3 · A6 · A7

  2. Expanding two brackets and common factors

    Foundation · 3 models · 12 checks · written application

    A4

  3. Factorising monic quadratics

    Foundation · 3 models · 12 checks · written application

    A4

  4. Linear equations and modelling

    Foundation · 3 models · 12 checks · written application

    A17 · A21

  5. Changing the subject of simple formulae

    Foundation · 3 models · 12 checks · written application

    A5

  6. Simultaneous linear equations

    Foundation · 3 models · 12 checks · written application

    A19 · A21

  7. Solving monic quadratics by factorising

    Foundation · 3 models · 12 checks · written application

    A18 · A21

  8. One-variable inequalities and number lines

    Foundation · 3 models · 12 checks · written application

    A22

  9. Linear, figurate and recursive sequences

    Foundation · 3 models · 12 checks · written application

    A23 · A24 · A25

Graphs
  1. Coordinates, length and midpoint

    Foundation · 3 models · 12 checks · written application

    A8 · G11

  2. Straight-line graphs and gradients

    Foundation · 3 models · 12 checks · written application

    A9 · A10

  3. Quadratic, cubic, reciprocal and practical graphs

    Foundation · 3 models · 12 checks · written application

    A8 · A11 · A12 · A14 · R14

Geometry
  1. Angle facts, triangles and polygons

    Foundation · 3 models · 12 checks · written application

    G1 · G3 · G4

  2. Quadrilaterals, symmetry and solids

    Foundation · 3 models · 12 checks · written application

    G1 · G4 · G12

  3. Similar lengths and congruent triangles

    Foundation · 3 models · 12 checks · written application

    G5 · G6 · G19 · R12

  4. Ruler-and-compass constructions and loci

    Foundation · 3 models · 12 checks · written application

    G2

  5. Nets, plans and elevations

    Foundation · 3 models · 12 checks · written application

    G12 · G13

  6. Bearings and scale geometry

    Foundation · 3 models · 12 checks · written application

    G15

  7. Reflections, rotations and translations

    Foundation · 3 models · 12 checks · written application

    G7

  8. Enlargement with positive scale factors

    Foundation · 3 models · 12 checks · written application

    G7 · G19

Mensuration
  1. Perimeter, area and compound shapes

    Foundation · 3 models · 12 checks · written application

    G16 · G17

  2. Circle measures, arcs and sectors

    Foundation · 3 models · 12 checks · written application

    G9 · G17 · G18

  3. Prisms, cylinders and surface area

    Foundation · 3 models · 12 checks · written application

    G16 · G17

  4. Cones, pyramids, spheres and composite solids

    Foundation · 3 models · 12 checks · written application

    G17

Trigonometry
  1. Pythagoras and its converse

    Foundation · 3 models · 12 checks · written application

    G6 · G20

  2. Right-triangle trigonometry

    Foundation · 3 models · 12 checks · written application

    G20

  3. Exact trigonometric values for acute angles

    Foundation · 3 models · 12 checks · written application

    G21

Vectors
  1. Column vectors and displacement arithmetic

    Foundation · 3 models · 12 checks · written application

    G24 · G25

Probability
  1. Two-set Venn diagrams

    Foundation · 3 models · 12 checks · written application

    P6 · P7

  2. Probability scale and exhaustive outcomes

    Foundation · 3 models · 12 checks · written application

    P1 · P3 · P4

  3. Experiments, relative frequency and expected counts

    Foundation · 3 models · 12 checks · written application

    P1 · P2 · P5

  4. Sample spaces, tables and independent events

    Foundation · 3 models · 12 checks · written application

    N5 · P6 · P7 · P8

  5. Dependent events without replacement

    Foundation · 3 models · 12 checks · written application

    P8

Statistics
  1. Sampling, bias and statistical questions

    Foundation · 3 models · 12 checks · written application

    S1 · S5

  2. Mean, median, mode, range and comparisons

    Foundation · 3 models · 12 checks · written application

    S2 · S4

  3. Frequency tables and grouped estimates

    Foundation · 3 models · 12 checks · written application

    S2 · S4

  4. Bar charts, pie charts, stem-and-leaf and time series

    Foundation · 3 models · 12 checks · written application

    S2

  5. Scatter diagrams, lines of best fit and interpretation

    Foundation · 3 models · 12 checks · written application

    S6

Review edition · Mathematical keys and application criteria are checked before release. Independent human subject moderation and board-specific paper calibration remain pending.