Canonical Gymnasium Mathematics Bundeslaender Status

Snapshot: 2026-04-03T00:00:00Z

This file is generated from:

• curricula/DE/Gymnasium/provenance/math-bundesland-rollout-tracker.json
• curricula/DE/Gymnasium/canonical/DE_DEU_S_GYM_CANONICAL_MATHEMATIK.de.json

Headline

• Tracked states: 16
• Canonical source coverage present: 6/16
• State-weighted rollout score: 54.7%
• States with active snapshots (P2+): 12/16
• States with structural anchors mapped (P3+): 12/16
• States with reviewed corridor (P4+): 12/16
• States with broad coverage (P5+): 4/16
• Active canonical corridors: 5/6
• Priority active: 6
• Priority next_wave: 4
• Priority backlog: 6

Steering model

• Primary work unit: canonical_corridor
• Canonical view rule: Treat the canonical DE mathematics view as a curated pedagogical source of truth, not as the raw union of all state-specific atoms.
• State view rule: Treat Bundesland views as projections that stay as close as possible to the canonical view while omitting atoms that would violate the local curriculum.
• Execution sequence:
• Refine one canonical corridor until its atomic inventory and internal progression are pedagogically round.
• Map that corridor against all 16 state curricula and classify each reviewed bridge as exact, partial, not_applicable, or state_local.
• Only then stabilize state-scoped composition views and learner-facing cluster shapes for the affected scopes.
• Canonical atom admission:
• Add a canonical atom only if it improves the pedagogical completeness of the shared DE math graph.
• Do not add canonical atoms only to mirror one state's packaging, table layout, or wording.
• Prefer canonical subtree quality over short-term mapping convenience.

Canonical corridor register

Corridor	Status	Focus states	Next step
SEK1.J10.FUNCTION_FAMILIES Sek I J10 function families	active	DE-BY, DE-BW, DE-SH, DE-NI, DE-SN	Treat the now-closed BY J10 exponential / trigonometric strip and the newly opened Sachsen K10 function strip as canonical-quality checkpoints, and continue only with equally explicit adjacent atoms instead of reopening broad generic function parents.
SEK1.J10.5D_GEOMETRY Sek I J10 bodies, volumes, and plausibility	active	DE-BY, DE-BW, DE-SH	Treat the inspected Schleswig-Holstein J10 5D bands as intentionally broad in the current snapshot: Pyramiden und Kegel and Kugeln do not yet expose narrower source atoms than the existing reviewed partial bridges, so further 5D tightening should wait for a cleaner source split instead of inventing new state-local canonical residue.
SEK2.ANALYSIS Sek II analysis and integral / exponential deepening	active	DE-HE, DE-NW, DE-SH, DE-BW, DE-BY, DE-NI, DE-SN	Treat the reviewed Bavaria exponential/logarithmic and integral strips, the Schleswig-Holstein upper-secondary E-analysis strip, the explicit Baden-Wuerttemberg Euler-number leaf, and the Niedersachsen base-e, derivative-use, asymptotic-bounded-growth, context-asymptotics, growth-model-comparison, and exponential-equation leaves as exact- or corridor-resolved at explicit source-residue level and keep tightening only equally explicit analysis atoms before reopening broad parents.
SEK2.GEOMETRY_LINEAR_ALGEBRA Sek II geometry and linear algebra	active	DE-NW, DE-BB, DE-BE, DE-SH, DE-BW, DE-BY, DE-SN	Keep closing narrow canonical space-geometry and matrix atoms where the current NRW/BB/BE/SH/BW/BY strips expose them cleanly; avoid broad umbrella cleanup as the primary steering unit.
SEK2.STOCHASTICS Sek II stochastics	active	DE-NW, DE-BE, DE-BB, DE-SH, DE-NI, DE-BW, DE-BY, DE-SN	Use the reviewed Nordrhein-Westfalen, Berlin/Brandenburg, Schleswig-Holstein, and Bavaria strips to stabilize canonical random-variable, distribution, test, and interval atoms before widening broad residual parents.
SEK1.FOUNDATIONS Sek I foundations, proportionality, and early algebra	next_wave	DE-BW, DE-NW, DE-BB, DE-BE, DE-SH, DE-NI	After the active J10 and Sek-II corridors settle, run a canonical-first coverage pass on the early Sek-I arithmetic / proportionality / algebra spine instead of treating those rows only as state-local cleanup.

Program phases

Program phase	Status
F0 Tracking scaffold	completed
F1 Active five-state base	in_progress
F2 Remaining source onboarding	in_progress
F3 Nationwide first-corridor pass	in_progress
F4 Lower-secondary breadth	pending
F5 Upper-secondary breadth	pending
F6 Cutover and maintenance	pending

State phase scale

Phase	Score	Meaning
P0 Placeholder	0%	README/source links only, no active math rollout lane.
P1 Source archived	15%	Math source material is archived in the DE-level input lane.
P2 Snapshots active	30%	Math source snapshots and provenance are active.
P3 Anchors mapped	50%	Canonical structural anchors are mapped on the shared spine.
P4 First corridor reviewed	65%	At least one didactically closed reviewed corridor is mapped.
P5 Broad state coverage	85%	The state has broad reviewed coverage across the main math spine.
P6 State cutover ready	100%	The state is operationally ready on the canonical math landscape.

State view

State	Phase	Score	Applicability	Mappings	Source stage	Priority
DE-BY Bayern	P5 Broad state coverage	85%	yes	312	archived_inputs	active
DE-HE Hessen	P5 Broad state coverage	85%	yes	487	snapshots_active	active
DE-NW Nordrhein-Westfalen	P5 Broad state coverage	85%	yes	122	snapshots_active	active
DE-BW Baden-Wuerttemberg	P4 First corridor reviewed	65%	yes	165	snapshots_active	active
DE-NI Niedersachsen	P4 First corridor reviewed	65%	yes	158	snapshots_active	active
DE-ST Sachsen-Anhalt	P4 First corridor reviewed	65%	no	45	snapshots_active	active
DE-BB Brandenburg	P4 First corridor reviewed	65%	yes	120	snapshots_active	next_wave
DE-BE Berlin	P4 First corridor reviewed	65%	no	148	snapshots_active	next_wave
DE-SH Schleswig-Holstein	P4 First corridor reviewed	65%	no	149	snapshots_active	next_wave
DE-SN Sachsen	P4 First corridor reviewed	65%	no	123	snapshots_active	next_wave
DE-HB Bremen	P5 Broad state coverage	85%	no	68	snapshots_active	backlog
DE-HH Hamburg	P4 First corridor reviewed	65%	no	64	snapshots_active	backlog
DE-TH Thueringen	P1 Source archived	15%	no	0	partial_inputs_archived	backlog
DE-MV Mecklenburg-Vorpommern	P0 Placeholder	0%	no	0	mapping_scaffolded	backlog
DE-RP Rheinland-Pfalz	P0 Placeholder	0%	no	0	mapping_scaffolded	backlog
DE-SL Saarland	P0 Placeholder	0%	no	0	mapping_scaffolded	backlog

Immediate queue

• DE-BY (P5, active): Keep Bavaria as the second broad comparison lane, but treat the first reviewed Sek-II analysis, stochastics, AGV, and LM passes as baseline coverage and widen BY further only where another equally explicit source corridor appears instead of reopening broad parent cleanup.
• DE-HE (P5, active): Keep Hessen as the precision baseline while broader mixed lanes in other states are being pressure-tested.
• DE-NW (P5, active): Treat the currently opened Nordrhein-Westfalen LK normal-distribution strip as exhausted at explicit source-residue level: the imported leaves for normal-distribution concept, approximation-in-situations, and mu/sigma are now exact-resolved, so further NRW widening should only happen if another equally explicit NRW corridor is imported; otherwise continue with the next active broad comparison lane such as Bayern instead of reopening broader parent cleanup inside the current NRW snapshots.
• DE-BW (P4, active): Treat the active BW lower-secondary pilot snapshot as source-exhausted but note that the tightened J10 5D corridor now also exact-resolves the Kugelformeln leaf; further 5D work should prefer Schleswig-Holstein projection cleanup or intentionally imported retained BW non-core sections instead of generic BW parent cleanup.
• DE-NI (P4, active): Treat the currently opened Niedersachsen Sek-I right-triangle / similarity and quadratics follow-ons as exhausted at explicit source-residue level; widen Niedersachsen further only if the next lower-secondary source corridor is imported cleanly or a separate Berufliches-Gymnasium lane is opened intentionally.
• DE-ST (P4, active): Open the next reviewed Sachsen-Anhalt lower-secondary geometry corridor, most cleanly on the JG 5/6 angle, triangle, and quadrilateral strips.
• DE-BB (P4, next_wave): Treat Brandenburg's current linear-representation/projection side lane as exhausted at the explicitly source-exposed residue level; only widen it further if a clearly exposed matrix / linear-model follow-on appears, otherwise return to Berlin optional-course residue or another Brandenburg strip with equally explicit source-to-canonical alignment.
• DE-BE (P4, next_wave): Treat the Berlin matrix/transition, sequences/series, differential-equations, complex-numbers, logic, and reasoning/proof side lanes as now also parent-anchored on the corresponding shared canonical clusters; widen Berlin further only where the remaining analysis-deepening or numerical-mathematics residues stay equally explicit, otherwise decide whether Brandenburg's new linear-representation/projection side lane should widen next.
• DE-SH (P4, next_wave): Treat the inspected SH J10 5D lower-secondary bands Pyramiden und Kegel and Kugeln as intentionally broad in the current snapshot, but treat the SH upper-secondary E-analysis strip plus the adjacent Q1 e-Funktion and source-split Integralrechnung leaves as exact-resolved at explicit source-residue level; the next clean SH move should avoid reopening broad Q1/Q2 analysis parents unless a genuinely narrower source split appears.
• DE-SN (P4, next_wave): Switch from Sachsen lower-secondary residue work to the next still-open state lane, most plausibly Sachsen-Anhalt (ST) onboarding.

Next steps

• DE-BY: Keep Bavaria as the second broad comparison lane, but treat the first reviewed Sek-II analysis, stochastics, AGV, and LM passes as baseline coverage and widen BY further only where another equally explicit source corridor appears instead of reopening broad parent cleanup.
• DE-HE: Keep Hessen as the precision baseline while broader mixed lanes in other states are being pressure-tested.
• DE-NW: Treat the currently opened Nordrhein-Westfalen LK normal-distribution strip as exhausted at explicit source-residue level: the imported leaves for normal-distribution concept, approximation-in-situations, and mu/sigma are now exact-resolved, so further NRW widening should only happen if another equally explicit NRW corridor is imported; otherwise continue with the next active broad comparison lane such as Bayern instead of reopening broader parent cleanup inside the current NRW snapshots.
• DE-BW: Treat the active BW lower-secondary pilot snapshot as source-exhausted but note that the tightened J10 5D corridor now also exact-resolves the Kugelformeln leaf; further 5D work should prefer Schleswig-Holstein projection cleanup or intentionally imported retained BW non-core sections instead of generic BW parent cleanup.
• DE-NI: Treat the currently opened Niedersachsen Sek-I right-triangle / similarity and quadratics follow-ons as exhausted at explicit source-residue level; widen Niedersachsen further only if the next lower-secondary source corridor is imported cleanly or a separate Berufliches-Gymnasium lane is opened intentionally.
• DE-ST: Open the next reviewed Sachsen-Anhalt lower-secondary geometry corridor, most cleanly on the JG 5/6 angle, triangle, and quadrilateral strips.
• DE-BB: Treat Brandenburg's current linear-representation/projection side lane as exhausted at the explicitly source-exposed residue level; only widen it further if a clearly exposed matrix / linear-model follow-on appears, otherwise return to Berlin optional-course residue or another Brandenburg strip with equally explicit source-to-canonical alignment.
• DE-BE: Treat the Berlin matrix/transition, sequences/series, differential-equations, complex-numbers, logic, and reasoning/proof side lanes as now also parent-anchored on the corresponding shared canonical clusters; widen Berlin further only where the remaining analysis-deepening or numerical-mathematics residues stay equally explicit, otherwise decide whether Brandenburg's new linear-representation/projection side lane should widen next.
• DE-SH: Treat the inspected SH J10 5D lower-secondary bands Pyramiden und Kegel and Kugeln as intentionally broad in the current snapshot, but treat the SH upper-secondary E-analysis strip plus the adjacent Q1 e-Funktion and source-split Integralrechnung leaves as exact-resolved at explicit source-residue level; the next clean SH move should avoid reopening broad Q1/Q2 analysis parents unless a genuinely narrower source split appears.
• DE-SN: Switch from Sachsen lower-secondary residue work to the next still-open state lane, most plausibly Sachsen-Anhalt (ST) onboarding.
• DE-HB: Use Bremen only as pressure test for shared function packaging unless the source lane is later split more finely.
• DE-HH: Only split the remaining broad Hamburg J8 mixed function corridor further if the source can separate A3, A4, F3, and F4 more cleanly.
• DE-TH: Resolve access to the current 2025 Thueringen Gymnasium mathematics PDF for classes 5/6 and 11/12, then derive the first lower-secondary and upper-secondary source snapshots before activating shared provenance.
• DE-MV: Archive the official Mecklenburg-Vorpommern mathematics source bundle under curricula/DE/Gymnasium/input/MV/, then derive the first lower-secondary and upper-secondary source snapshots before activating shared provenance.
• DE-RP: Archive the official Rheinland-Pfalz mathematics source bundle under curricula/DE/Gymnasium/input/RP/, then derive the first lower-secondary and upper-secondary source snapshots before activating shared provenance.
• DE-SL: Archive the official Saarland mathematics source bundle under curricula/DE/Gymnasium/input/SL/, then derive the first lower-secondary and upper-secondary source snapshots before activating shared provenance.

Regeneration

python3 scripts/render_canonical_math_bundesland_status.py