Diagram Masterclass

Provenance (2026-09-29): written to answer one question — does WMA12 credit a diagram or graph, as its own object, with distinct, separately-markable marks (the way an economics supply/demand diagram, a business decision-tree, a mechanics force diagram, or a statistics box plot is separately marked on other papers)? Checked against: research/veridian/WMA12-verified-facts.md (read in full, §1–§9, specifically §6.3, §6.7, §6.8, §6.9 and the lesson-audit log's entries for the-circle.ts, trigonometric-equations.ts, stationary-points-and-curve-sketching.ts, definite-integrals-and-areas.ts and the-trapezium-rule.ts); every existing file in content/veridian/technique-hub/wma12/ that mentions "diagram," "sketch," "graph," "CAST" or "figure" (codex-deep-dive-the-circle.md, codex-deep-dive-the-trapezium-rule.md, codex-deep-dive-stationary-points-and-curve-sketching.md, signal-topic-brief-trigonometric-equations.md, signal-topic-brief-stationary-points-and-curve-sketching.md, forge-exam-technique-guide.md, codex-formula-and-method-bank.md); and the relevant content/veridian/curriculum/wma12/*.ts lesson files' own diagram blocks (the-trapezium-rule.ts, stationary-points-and-curve-sketching.ts, definite-integrals-and-areas.ts). No new primary PDFs were opened for this document — everything below is a synthesis of findings this course's own research has already verified and cross-checked against primary sources in the files just named; every claim below cites the file that carries the original verification.

#Does a "Diagram/Graph Masterclass" apply to WMA12? No — and here is the real evidence

Verdict: no. WMA12 (Pure Mathematics 2) does not treat diagrams or graphs as a distinct, cross-topic, separately-markable skill. There is exactly one place in the whole paper where reading information off a plotted figure carries its own real mark — and that skill is already fully taught, with a purpose-built diagram and drill, in the lesson file itself, with the course's own existing deep-dive on that topic stating explicitly that there is "nothing to add." Everywhere else checked, a sketch or graph is either a recommended thinking aid with no mark of its own, or a one-off instance too thin to generalise into a taught skill. Forcing a masterclass here would mean padding around an absence, which this course's standing discipline rules out.

#What was actually checked, topic by topic

Curve sketching (spec 7.1) — no anchor for the sketch itself being marked. This is the most obvious candidate for a maths "graph masterclass," and this course's own research has already looked for it directly and come up empty. codex-deep-dive-stationary-points-and-curve-sketching.md states plainly: "'Sketch the curve' as its own separately mark-scored instruction has no confirmed real WMA12 anchor in this course's research distinct from finding-and-classifying the stationary points that feed it." Every real anchor found for this topic (Jan 2021 Q2, Oct 2019 Q10, Jan 2025 Q3, June 2025 Q9/Q8) tests the calculus — differentiate, solve, classify — never a drawn picture's own accuracy. signal-topic-brief-stationary-points-and-curve-sketching.md (a fully independent brief, cross-checking the deep-dive's own citations) does not overturn this. The spec's own curve-sketching clause is one appended sentence to 7.1, not a separately weighted skill, and nothing in either verified-facts or the technique-hub contradicts that.

Exponentials (spec 5.1, y = aˣ and its graph) — no confirmed question at all. codex-formula-and-method-bank.md flags this directly: "5.1 (y=aˣ and its graph) has no confirmed real WMA12 question in the source material reviewed that directly tests sketching or interpreting this graph." Every real 5.1 anchor this course has verified is about solving aˣ = b, never the graph.

Trigonometric equations — a CAST diagram is recommended strategy, never a credited mark. The one real examiner-report line touching diagrams here is explicit that too few candidates used one, not that using one earns anything: "very few sketched helpful graphs or CAST diagrams" (October 2022, Q5, quoted in both WMA12-verified-facts.md §6.7 and signal-topic-brief-trigonometric-equations.md). No mark scheme line anywhere in this course's verified material ties a mark to the diagram's presence — the marks on that question are for the algebra (correctly rewriting cos2θ, not dropping a coefficient). A sketch is advice for avoiding the algebra error, not a mark-scheme object.

The circle — one real diagram mark, and it is a single, already-documented one-off. codex-deep-dive-the-circle.md independently verified fifteen real circle question-instances across fourteen sittings — the deepest sweep this course has of any WMA12 topic. Exactly one of those fifteen carries a mark for a sketch: the WMA12/01a regional-variant paper, June 2025, Q9 (an axis-tangency construction), where the deep-dive records a 1-mark allocation for sketching the circle before the 4-mark equation-finding that follows. That is one mark, on one question, on a regional-variant sitting, out of fifteen verified circle questions — not a recurring, generalisable skill with its own labelling conventions to teach, and it is already named, sourced, and corrected for its exact paper variant in that deep-dive's §2 and §9. Elsewhere on the same topic, the January 2021 Q9 examiner report calls a sketch merely "advisable for candidates to use" (forge-exam-technique-guide.md) — help, not a mark.

Definite integrals and areas — diagrams are teaching illustrations, not student-drawn, marked objects. definite-integrals-and-areas.ts carries a diagram block showing the region between a curve and a line, but it exists to show the student what the region looks like; the real marks on this topic (verified against Jan 2020 Q4 and others) are for finding the correct limits, subtracting in the right order, and evaluating — never for producing a picture. The codex-formula-and-method-bank's own advice — "sketch if unsure" which graph is on top — is the same category as the CAST-diagram advice above: a private check, not a scored deliverable.

The trapezium rule — the one genuine exception, and it is already fully taught with nothing left to add. This is the one real, mark-scheme-confirmed case of a diagram carrying its own distinct credit: Pearson's October 2023 Q6 mark scheme awards a B1 for correctly identifying the strip width and an M1 for the ordinate sum specifically when those values must be read off a labelled graph (Figure 1) rather than taken from a table or formula — and the real examiner report names graph-extraction, not table-extraction, as what actually discriminated on that question. the-trapezium-rule.ts already teaches exactly this with a purpose-built diagram block (a pond cross-section with two zero-valued endpoint ordinates) and an immediately following chain-drill built to close this exact gap. codex-deep-dive-the-trapezium-rule.md checked this directly and recorded: "Fully covered by the lesson's own diagram... and the chain-drill immediately after it... Nothing to add." Writing a masterclass chapter for this single skill would duplicate a block that already exists and that this course's own research has already confirmed is complete.

#Why this rules out a masterclass, not just shrinks it

A masterclass earns its place when a paper has a family of diagram types each carrying its own real labelling/marking conventions worth teaching once, in one place, across topics — the pattern the task brief names for economics, business, mechanics and statistics papers. WMA12 does not have that family. It has one real diagram-literacy skill (trapezium-rule graph-reading), confined to a single topic and already taught to the point of "nothing to add," and one isolated 1-mark sketch instance on one regional-variant paper, already named and sourced in the circle deep-dive. Everywhere else, sketches are advice, not marks. Building a cross-topic masterclass on top of that would mean re-teaching the trapezium-rule block that already exists, generalising a single 1-mark circle instance into a "skill" the evidence does not support, and filling the remaining pages with the kind of restated advice ("sketch if you're unsure") that carries no mark of its own — exactly the padding this course's standing discipline forbids.

#If this call should be revisited

Two things would change this verdict, and neither is true today: (1) a second, independently verified circle sketch-mark on a different sitting, which would start to look like a real recurring skill rather than one instance; or (2) a confirmed mark scheme line crediting a sketch or CAST diagram, by itself, on a trigonometric or curve-sketching question — searched for directly in this pass and not found anywhere in the verified-facts bank or the existing technique-hub documents. Until either shows up in a primary source, this file's verdict stands: no masterclass, and no gap left unfilled by leaving it unwritten.