# NCERT alignment readiness and first Foundational Maths slice

Original alignment base: `4a7ba5a0476c7009694e2b11bfacdfc7343d1062`. That accepted slice added **31 associations across 28 existing topics**, in **28 new Indian jurisdiction contexts**, without adding or changing a mastery claim, prerequisite or catalogue record. It reviewed one formal goal and its 14 competencies. Associations cover 14 of those 15 records; the remaining record has a documented Gap.

## Source and stage meaning

The selected source is the official [NCF-SE 2023 framework](https://ncert.nic.in/pdf/NCFSE-2023-August_2023.pdf), **First Edition October 2024**, ISBN 978-93-5292-741-8. Pinned SHA-256: `0e2c5a1ddb48f758a5e9f867258da40d57f9f236b37fc7f8022261973425f099`. PDF page **214**, printed page **200**, Table **1.1iii**, supplies the selected CG-8 block. Its original layout and every selected row were checked against the verified private preparation artifact; source wording is not redistributed.

The IN interval **3–8** records the official full Foundational Stage, including Balvatika and Grades 1–2. It is a **stage window with a stage-end attainment reference**, not a statement that every linked performance is expected unchanged at every age, nor an invented deadline for an individual grade. The selected primary view is Grades 1–2, but the published formal source has not been clipped into fabricated per-grade standards. The age-only compatibility projection cannot carry that distinction; consumers must retain this qualification when interpreting the association.

Keys use the existing `ncert-ncfse-2023-ed2024` source and generated qualified identifiers. The table below abbreviates the namespace: competency `C-8.1`, for example, means `ncert-ncfse-2023-ed2024:IN-NCERT-NCFSE-2023-ED2024-FOUNDATION-COG-COMP-C-8.1`; the goal uses `...-FOUNDATION-COG-GOAL-CG-8`. These are not newly invented official NCERT codes.

The separate [2025 foundational publication](https://ncert.nic.in/pdf/publication/otherpublications/Learning_Outcome_for_the_Foundational_Stage.pdf) contains contextualisable, suggestive outcome positions. Its 67 Maths positions are **not** silently aliased to these formal records, and remain unreviewed for alignment in this slice.

## Catalogue-to-alignment readiness

The [complete factual readiness ledger](ncert-alignment-readiness-2026-11-10.json) accounts for **all 570 accepted keys exactly once**:

| Source / kind | Accepted records | Alignment review here |
| --- | ---: | ---: |
| 2025 suggestive table positions | 260 | 0 |
| 2025 Arts appendix outcome positions | 56 | 0 |
| October 2024 formal Foundational standards | 82 | 15 |
| October 2024 formal Preparatory standards | 172 | 0 |
| **Total** | **570** | **15** |

The formal inventory comprises 58 curricular goals and 196 competencies. The ledger distinguishes source kind, stage, area, shared bands, language/resource conditions and LS1/LS2 or Arts-choice metadata where published. **555 records are not alignment-reviewed here**; this is neither a finding of missing skills nor coverage inferred from ingestion. The ledger is reviewed evidence, not an alternative taxonomy graph or another acceptance gate.

This is an NCERT national baseline, not every Indian board. The existing [source-kind inventory](ncert-foundational-source-kinds-2026-11-09.md) still distinguishes syllabus content and activities from outcomes; the unverified Hindi-text/Urdu extraction, other Balvatika outcome cells, current grade-specific publications and legacy editions remain explicit source-discovery scope rather than fabricated standards or associations.

## Reviewed dispositions

The [code-by-code mapping](ncert-foundational-mathematics-alignment-2026-11-10.json) records complete topic IDs, contribution roles, rationales and remaining conditions. **Full** judges source coverage by the contributing claims together; it does not certify a learner or imply each component topic covers the whole standard. No link is added solely because a topic is a prerequisite.

| Source code | Disposition | Existing topic contributions | Remaining condition |
| --- | --- | --- | --- |
| CG-8 | Partial | `mt_fLOkq-HfPB`, `mt_fEuoBYw6bU`, `mt_DOe893F6gN` | Integration across the whole mathematical domain and the unresolved competency conditions below remain open; child-code links alone do not prove goal attainment. |
| C-8.1 | Full | `mt_JEtvvsAQjQ` | No uncovered source condition identified in this review. |
| C-8.2 | Full | `mt_ZjIFGc6zPW`, `mt_W3VOAuFwVw` | No uncovered source condition identified in this review. |
| C-8.3 | Partial | `mt_M5PPDJStGm`, `mt_nvdpxAJTBG` | The twenty-step performance/example remains to be demonstrated; it does not justify a new numerical-step topic. |
| C-8.4 | Partial | `mt_U0waNfD8PB` | A decreasing arrangement remains an assessment-evidence condition for the same ordering claim; an unillustrated example is not a missing topic. |
| C-8.5 | Full | `mt_x8TshvbbQT`, `mt_THl9GLxwoL` | No uncovered source condition identified in this review. |
| C-8.6 | Partial | `mt_cChv2j_-Da`, `mt_UQnAFPs83F`, `mt_DLcEzmmj2r` | Higher-result fluency and word-problem transfer remain evidence conditions, not authority for another numerical-range or difficulty-level topic. |
| C-8.7 | Full | `mt_PZ909yPrEC`, `mt_LpSuPgL31x` | No uncovered source condition identified in this review. |
| C-8.8 | Full | `mt_KJeEeTutJI`, `mt_Qcp2d_kuta`, `mt_2VR963szuk`, `mt_fEuoBYw6bU`, `mt_qeZYF6HZ4o` | No uncovered source condition identified in this review. |
| C-8.9 | Partial | `mt_DOe893F6gN`, `mt_e4x3l2JeLI` | Autonomous choice among weighing and volume instruments in the immediate environment remains an observation condition. Using a supplied instrument does not alone establish that choice. |
| C-8.10 | Partial | `mt__N55B7u7HD`, `mt_tVvZVWO5d6` | An explicit measured interval expressed in months is not established by the selected topic evidence. The larger year/leap-year facts topic is not a substitute for performing that task. |
| C-8.11 | Partial | `mt_FIkqA0qhnj`, `mt_pbuhUQJjtt`, `mt_6J1wmCWf41` | The full transaction must still be observed with actual or faithful INR materials within the source limit of INR 100. Numerical money problems and generic coin recognition are component evidence, not proof of that complete local performance. |
| C-8.12 | Partial | `mt_lMz9nAs7VO` | The measurement-language strand and the breadth of receptive/procedural vocabulary remain unverified by the selected evidence. |
| C-8.13 | Partial | `mt_fLOkq-HfPB`, `mt_f67qGDhyfi` | Learner-generated problem formulation and transfer across the full shape/space/measurement range remain open. Representing a supplied situation is not automatically inventing the problem. |
| C-8.14 | Gap | None | No suitable existing mastery claim found in this pass. Decide how domain-specific attitude should be evidenced before proposing a claim; this does not authorize a country-specific duplicate or imply a learner deficit. |

Totals: **5 Full, 9 Partial, 1 Gap**. **Nine Partial records do not mean nine missing topics.** The JSON classifies each residual as a performance/example, assessment-evidence, local-material or broad-goal condition. Only C-8.14 is a candidate claim gap, pending a pedagogical decision. The broad goal stays Partial. Counting in twenties, fluency beyond the selected arithmetic limit, complete local-currency transactions, some instrument-choice/time/language conditions and learner-generated problem formulation are recorded rather than hidden behind link counts.

## Reuse and excluded shortcuts

Every contributing topic was read beyond its title: description, evidence, assessment prompt and prerequisite relationships were checked. Several historical titles were misleading: the skip-counting topic includes multiple step sizes, a similarly named shape-pattern topic is actually about mathematical structure, and one word-problem topic concerns fractions. Those labels did not determine the mapping. Country-neutral cash recognition was found in Life Skills; mathematical notation and money calculations remain separate claims. No rupee-specific duplicate is proposed.

For C-8.14, the search included Mathematics, Learning to Learn and Personal & Social Development. General persistence and Growth Mindset were considered and excluded: their complete claims do not establish a mathematics-specific confidence/value attitude. The Gap does not authorize a new topic or a learner-state change. The taxonomy has no separately tracked difficulty levels; missing performance examples elsewhere in this report must not be turned into numerical-range clones. It first needs a decision about suitable observation and whether that attitude belongs in this mastery taxonomy.

## Preservation and validation

All pre-existing scoped contexts and their intervals are retained. Only IN associations use the new stage interval; no AU, CA, GB, US, global or framework record is rewritten. The standard generator supplies compatibility standards, global age bounds, research checksum binding and manifest counts. Those derived bounds may change because a new official stage window is present; topic descriptions, evidence, assessment prompts, research records and prerequisites remain unchanged.

Validation passed: `npm run alignments:generate`, `npm run validate`, `npm run alignments:generated-check` and `npm test` (**94 tests**). The test runner required subprocess access; the initial sandbox-only invocation could not run CLI-based suites, and the rerun passed.

An independent base/current comparison retained all **4,060** prior contexts exactly and found only the **28** new IN contexts. The **28** affected topic records differ only in generated standard lists and derived global age bounds. Every derived age row now includes the official stage start of three; this is a consequence of the stage-window projection, **not a recommendation to assess each full claim at age three**. Dependencies, catalogue, clusters, archived research and authored research records remain unchanged; only the topic checksum binding changes in the research envelope. A long-phrase scan found no eight-word reproduction of the restricted source descriptions in these new reports.

Repository review accepts semantics; downstream publication remains a separate maintenance operation.

A follow-up claim reconciliation against accepted `691911d` on 2026-11-10 preserves the original **31 associations across 28 topics**. The time component of C-8.10 now uses `mt__N55B7u7HD` for actual estimation, measurement and recording, following the [duration/clock claim review](time-duration-clock-claim-review-2026-11-10.md). The calendar contribution, official 3–8 stage window and unresolved month-interval performance condition are retained. This decomposition does not upgrade the Partial judgment.