Technique Masterclasses

Pure Mathematics 1

Spaced Repetition Schedule

Provenance: compiled 2026-09-29. Built from signal-frequency-and-boundaries.md §1–§3 of this same folder (the real, per-strand and per-sub-topic frequency table this schedule's tiering is derived from, row by row) and research/veridian/WMA11-verified-facts.md §2 (assessment structure — 75 marks, 90 minutes, the formula-booklet asymmetry), §4 (per-topic examiner-report material), §6 ("topics with enough verified material for a genuine standalone lesson" — used here as a second, independent signal alongside raw frequency), and §7 (flagged gaps). Also read in full: all seventeen signal-topic-brief-*.md files in this folder, each of which supplies a sub-topic-level frequency count finer than signal-frequency-and-boundaries.md's own strand-level or Strand-1-only table — this schedule could not have been built from the frequency document alone. Cross-checked against forge-exam-technique-guide.md (timing, mark-coding, the common-error digest) and codex-formula-and-method-bank.md (formulas and worked methods) so neither is repeated here. The seventeen curriculum lesson files in content/veridian/curriculum/wma11/ were checked by filename against this folder's topic-brief list to build the tier mapping in §2, not re-read in full — their own worked exemplars are not reproduced here. Not affiliated with or endorsed by Pearson Edexcel. No likelihood percentage or grade boundary appears anywhere below. Every repetition count and day-interval in §3 is this course's own scheduling construction, not a cited psychology finding, and reuses the six-cycle Day-0/2/5/10/18/30 widening-interval pattern already established for this course in content/veridian/technique-hub/wbs11/forge-spaced-repetition-schedule.md §3 — flagged as a reused convention, not a new finding, exactly as that document flags it. WMA11's technique-hub does not yet have a forge-forty-eight-hour-checklist.md or forge-error-pattern-tracker.md of the kind WBS11/12/13 have; §5 below states what that means for this document's scope, honestly, rather than inventing cross-references to documents that don't exist for this paper yet.

WMA11 — Spaced Repetition Schedule (Unit 1: Pure Mathematics P1)

0. What this is, and what it deliberately doesn't repeat

This document answers one question: given WMA11's real, uneven distribution of exam coverage across its seventeen taught lesson topics, how many times should a student revisit each one before the exam, and in what order? It does not re-teach content, and does not reproduce:

What it adds: an actual repetition count per lesson topic, built by reading the real sightings-per-topic across the seventeen SIGNAL topic briefs as a weighting signal, rather than assuming every one of this paper's seventeen taught topics deserves the same number of passes. No other WMA11 technique-hub document does this.

1. Why repetition count should track this paper's real, uneven frequency

Three real, paper-specific facts argue against a flat schedule.

First, the strands themselves are not equally reliable. Algebra and functions is confirmed in 5 of the 5 fully-read series; Trigonometry, Differentiation and Integration are each confirmed in 4 of 5; Coordinate geometry — the spec's thinnest strand, with only two numbered sub-points against Algebra's twelve — is confirmed in just 2 of 5 [signal-frequency-and-boundaries.md §1]. Algebra and functions also supplies the largest single share of marks in the one series with a full mark-weight reconstruction available (Jan 2023: 30 of 75 marks, across four separate questions), more than double Trigonometry's 14 and Integration's 13, and six times Coordinate geometry's 5 [signal-frequency-and-boundaries.md §1]. A flat schedule would spend as much repetition on Coordinate geometry as on Algebra and functions despite one strand being confirmed almost twice as often and worth six times the marks in the one paper where that can actually be checked.

Second, appearance-frequency and mark-weight don't move together for every strand — Differentiation is the clearest case. It is confirmed in 4 of 5 series, the same rate as Trigonometry and Integration, but in the one paper with a full mark-weight reconstruction it supplies only 5 marks — the same as Coordinate geometry, and barely a sixth of Algebra and functions' 30 [signal-frequency-and-boundaries.md §1]. Frequency alone would rank Differentiation alongside Trigonometry and Integration; the one real weight data point available says it sits with Coordinate geometry instead. This schedule treats both signals as real and states, per topic below, which one is actually driving each tier assignment.

Third, this is a paper where memorised recall matters more than most, which is a real, checkable fact about WMA11 specifically, not a generic study-skills claim. The P1 section of the exam formula booklet contains exactly two entries — a sphere/cone mensuration line and the cosine rule — and nothing else: not the quadratic formula, not the sine rule, not the area-of-a-triangle formula, not arc length or sector area, not the differentiation or integration power rules [WMA11-verified-facts.md §2]. Every one of those must be retrieved from memory under exam conditions. A spaced-repetition schedule for a paper with a thin formula booklet is doing more real work than one for a paper where most formulas are printed in front of the candidate — which is a reason to weight the schedule by real frequency rather than treat every topic's recall demand as interchangeable.

None of this licenses skipping a thin topic: every strand is compulsory spec content [signal-frequency-and-boundaries.md §1, §3]. What it licenses is an honest allocation of repeated practice — a topic confirmed only once, or not at all, in the fully-read series has no repeatable past-paper pattern to drill against, so one accurate encoding pass is the honest ceiling repeated practice can add; a topic confirmed across several series, especially one carrying the same named trap each time, has a real pattern worth rehearsing again and again.

2. The five tiers, built from the real per-topic frequency data

All seventeen taught topics below are placed by two real signals: the sub-topic's own confirmed sighting count (from its own SIGNAL topic brief, which is finer-grained than signal-frequency-and-boundaries.md's own strand- or Strand-1-only table), and, where it exists, the "genuine standalone lesson" ranking independently reached by WMA11-verified-facts.md §6, which uses repeatable-named-trap evidence rather than raw count. Both denominators — "of 5" (the five fully question-by-question-read series: Jan 2019, Oct 2020, Oct 2021, Jan 2023, Jan 2025) and any wider count stated per topic — are the honest bases each topic brief itself uses; a "0" or "1" means this research pass's own read is thin, not that the topic is unlikely to appear.

Tier 1 — the single most frequently confirmed named sub-topic on the whole paper

Tier 2 — strong evidence: either 3 of 5, or 2 of 5 with a confirmed, repeatable, named trap

Tier 3 — real, but thinner: 2 of 5, without (yet) a confirmed cross-series trap match

Tier 4 — thin, real, single-digit sightings

Tier 5 — confirmed zero as a standalone question in the fully-read base, but compulsory content

3. The six-cycle schedule

This reuses the six-cycle, widening-interval pattern (Day 0, 2, 5, 10, 18, 30) already established for this course in wbs11/forge-spaced-repetition-schedule.md §3 — a scheduling convention, stated here as one, not a new cited finding. The widening exists so Tier 1 and Tier 2 material gets revisited before it can fade, while Tier 4/5 material gets one or two concentrated passes instead of being spread thin across cycles that thin material doesn't need. If fewer than 30 days remain, compress by dropping the latest cycles first and keep Cycle 1 and Cycle 2 intact, since Tier 5's single pass and Tier 1's first derivation both live there.

CycleDayTier 1 (every cycle)Tier 2 (rotates, most cycles each)Tier 3 (2 passes each)Tier 4 (2 passes each)Tier 5 (one pass only)
10Yes — re-derive the four transformations (af(x), f(x)+a, f(x+a), f(ax)) from a fresh, wordy descriptionSector area/arc length; discriminant (first pass)Cubic sketching; perpendicularity (first pass)Sine/cosine ambiguous case; surds — first pass, rehearsed only inside whichever Tier 2/3 topic's own worked answer needs an exact surd this cycle (see §4)Both Tier 5 items — one CODEX/lesson-file recall pass each, not repeated later
22YesTrig graphs period/domain; hidden-quadratic substitution (first pass)Quadratic inequalities; simultaneous equations (first pass)Splitting fractions (first pass)—
35YesIntegrate-twice-two-constants family (first pass)Differentiating indices; hidden higher-degree equations (first pass)Sine/cosine ambiguous case (second pass)—
410YesSector area/arc length; discriminant (second pass)Cubic sketching; perpendicularity (second pass)Splitting fractions (second pass)—
518YesTrig graphs period/domain; hidden-quadratic substitution (second pass)Quadratic inequalities; simultaneous equations (second pass)Surds — second pass, same rule as Cycle 1—
630YesIntegrate-twice-two-constants family (second pass)Differentiating indices; hidden higher-degree equations (second pass)——

Reading this as repetition counts rather than a calendar: Tier 1's one topic gets six passes, the most of anything, matching its status as this paper's single most frequently confirmed named sub-topic. Tier 2's five topics each get two passes, spread across the six cycles. Tier 3's six topics each get exactly two passes. Tier 4's three items get two passes each, except surds, which is deliberately not given its own fixed slot — see §4. Tier 5's two items get exactly one pass, in Cycle 1 only, and are not scheduled again inside this document, consistent with §1's reasoning: a topic with zero confirmed dedicated sightings in the fully-read series has no repeatable exam-question pattern to drill against beyond what its host topics already rehearse.

4. Three topics that needed a judgement call, stated explicitly

Surds manipulation is not given a fixed cycle slot because its own real record says it shouldn't be. Four of its six real sightings are an exactness requirement riding on a different topic's answer (a differentiation gradient, a discriminant critical value, a hidden-quadratic solution) — its own dedicated appearance is 1 of 17 series searched [signal-topic-brief-surds-manipulation-and-exact-answers.md]. Scheduling it as its own isolated slot would rehearse it out of the context it actually appears in. Instead, every cycle above that includes a Tier 2/3 topic whose worked answer involves a surd (discriminant, differentiation, or hidden-quadratic substitution) should end that pass with the specific habit this topic's real record best supports: write the intermediate combining or expansion line explicitly before the final surd value, since the one clearly repeated, cross-topic finding is the accuracy mark withheld for a correct final surd with the intermediate step skipped, not for the surd itself being wrong [signal-topic-brief-surds-manipulation-and-exact-answers.md].

Quadratic functions gets one dedicated pass, not zero, despite 0 of 5 as a standalone question. Its core mechanic is not genuinely thin on this paper — it is the constant embedded sub-step inside three separate Tier 2/3 topics (discriminant, hidden-quadratic substitution, simultaneous equations), each of which already gets its own two-plus passes above, so the underlying skill gets real, repeated implicit rehearsal regardless of this tier placement. What is genuinely undertested, and what the single dedicated Cycle-1 pass should target specifically, is the one confirmed direct-question angle: reconstructing f(x) from a turning point plus one other point, with the leading multiplier a genuine unknown — the one angle the examiner report shows candidates missing even when they know the correct quadratic shape [signal-topic-brief-quadratic-functions.md].

Simultaneous equations by substitution is tiered on the broader of two real counts, not the narrower one, and that choice is stated here rather than left silent. signal-frequency-and-boundaries.md §1's own table scores this topic 1 of 5, counting only a line meeting a non-linear curve. The topic's own dedicated brief scores it 2 of 5, because it also counts a curve-meeting-curve pairing (Jan 2019 Q11) that carries no line at all but is still genuine spec-1.6-by-substitution content [signal-topic-brief-simultaneous-equations-by-substitution.md]. Both counts are real and both are cited above; this schedule follows the broader, more recently researched one for tiering, and flags the discrepancy here so a future revision of this schedule doesn't silently re-introduce the narrower count without knowing why the wider one was chosen.

5. Where this document's scope ends

WMA11's technique-hub does not yet have a forge-forty-eight-hour-checklist.md or a forge-error-pattern-tracker.md — both exist for WBS11/12/13 and are cross-referenced by that paper's own spaced-repetition schedule, but no equivalent has been built for WMA11 at the time this document was written. That means, honestly, that this schedule currently covers the whole run-up to the exam with no separate document to hand off the final 48 hours to, unlike the WBS11 pattern it otherwise follows. Until such a document exists for WMA11, treat Cycle 6 (Day 30, or the compressed final cycle under this document's own §3 compression rule) as the end of this schedule's ordered revision, and fall back on forge-exam-technique-guide.md §5's exam-day protocol for the final approach — that section already exists and is not repeated here.

6. Honesty notes