@hassanyehiaa: I've received a lot of direct messages these past two days, and many tutors and teachers have offered suggestions — I'm truly grateful. I've been continuously improving the knowledge graph content, and based on everyone's feedback, I've increased the difficulty levels of the question banks as well as expanded the number of questions. Details are as follows: Difficulty tiers: Questions for each knowledge point are divided into three tiers — Basic, Advanced, and Extension. Diagnostic order: Present the Advanced question first; if answered correctly, use an Extension question to confirm mastery. If answered incorrectly, follow up with a Basic question; if still incorrect, trace back to related knowledge points from earlier grades, with the prerequisite knowledge highlighted on the interface.
Summary
The author updated the open-source K-12 knowledge graph project cn-math-taxonomy, adding three difficulty tiers (Basic/Advanced/Extension) of questions for each knowledge point, and improving the adaptive diagnostic order and prerequisite backtracking logic. The project covers math, Chinese, science, English, and physics, and provides an online diagnostic tool, though the author notes it is an AI-generated draft that still awaits teacher review.
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Cached at: 10/29/26, 11:59 AM
Over the past couple of days I’ve received many private messages, and many tutors and teachers have shared suggestions — thank you all sincerely. I’ve been continuously improving the knowledge graph content, and based on everyone’s feedback I’ve increased the difficulty levels of the question bank and expanded its size. Details are as follows:
Difficulty tiers: Questions for each knowledge point are divided into three levels: Basic, Intermediate, and Advanced.
Diagnostic flow: Intermediate questions are presented first. If answered correctly, Advanced questions follow to confirm mastery. If answered incorrectly, a Basic question is inserted; if that’s still wrong, the system traces back to the related knowledge point from an earlier grade, with prerequisite knowledge labeled in the interface.
I’ve had too many private messages to reply to everyone in time. Going forward, I’ll first complete all subjects and then revisit and fine-tune details.
Thanks again!
- GitHub: https://github.com/xiaoyang111222/cn-math-taxonomy
- Online site: https://math.pansgo.com
xiaoyang111222/cn-math-taxonomy
Source: https://github.com/xiaoyang111222/cn-math-taxonomy
K–12 & High School Knowledge Graph (Math + Chinese + Science + English + Physics)
Aligned with the Compulsory Education Mathematics Curriculum Standards (2022 Edition, 2025 Revision) (Ministry of Education, Daily Revision Version of Primary and Secondary School Curriculum Plans and Standards, Textbook [2025] No. 1), the General Senior High School Mathematics Curriculum Standards (2017 Edition, 2025 Revision) — covering the Compulsory and Selective Compulsory modules — as well as the Compulsory Education English Curriculum Standards (2022 Edition) Levels 1, 2, and 3 (Grades 7–9) and the General Senior High School English Curriculum Standards (2017 Edition, 2025 Revision) Compulsory and Selective Compulsory modules. The mathematics textbooks follow the PEP (People’s Education Press) editions: Grades 1–9, PEP A Edition (2019) Compulsory Books 1–2 and Selective Compulsory Books 1–3. English follows PEP (starting from Grade 3, revised edition per the 2022 curriculum standards) from Grade 3 Book 1 to Grade 6 Book 1 (Grade 4 Book 2 densified per pep4x_2026 for Spring 2026; Grade 5 Book 2 new edition not yet published, temporarily densified per the current peps5x; Grade 6 Book 2 densified per the current peps6x), the new PEP Go for it! editions from Grade 7 Book 1 to Grade 9 Book 1 (Grade 9 Book 2 new edition not yet published, temporarily following the old full-volume Grade 9 book, Units 9–14, etc.), as well as PEP (2019) high school Compulsory Books 1–3 and Selective Compulsory Books 1–4. Junior high school physics follows the new PEP edition (revised per the 2022 curriculum standards) — Grade 8 Book 1, Grade 8 Book 2, and the full-volume Grade 9 book — aligned with the Compulsory Education Physics Curriculum Standards (2022 Edition, 2025 Revision); senior high school physics follows PEP (2019 approved edition) Compulsory Books 1–3 and Selective Compulsory Books 1–3, aligned with the General Senior High School Physics Curriculum Standards (2017 Edition, 2020 Revision). Includes adaptive prerequisite diagnostics and a question bank. In mathematics, incorrect answers trigger backtracking along prerequisite edges from high school, through junior high, all the way down to the specific elementary school knowledge point. English forms a separate graph with no edges to mathematics; junior high English connects back to elementary school English, and high school English primarily connects back to junior high English. Physics is also a separate graph; the mathematics it relies on is recorded in the mathLinks field of each knowledge point and does not count as prerequisite edges. The repository name remains cn-math-taxonomy.
Scope: Mathematics covers high school through the Compulsory and Selective Compulsory modules, using only the PEP A Edition (2019); English covers Grades 3 through high school (PEP 2019 Compulsory Books 1–3, Selective Compulsory Books 1–4). This is an AI-generated first draft.
Section 7.3 “Trigonometric Form of Complex Numbers” is treated as optional per the textbook and does not have its own knowledge point. Definite integrals are not part of the Selective Compulsory content requirements, so no knowledge point was created. English has no listening or speaking questions.
License: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
→ Online Diagnostic Demo (Demo: Completing the Square)
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Home page: three-step guide, live statistics, and grade entries
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Knowledge graph: prerequisites near “completing the square” (2 levels up, 1 level down)
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Diagnostic result example: completing the square → traced back to the perfect square formula
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Knowledge graph: prerequisites near the high school “concept of function”
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Diagnostic: high school concept of function traced back to junior high quadratic functions
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Knowledge graph: Selective Compulsory “concept of derivatives”
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Diagnostic: full screening of Selective Compulsory Book 2
| Knowledge Points | Prerequisite Edges | Curriculum Standard Items | Question Bank | |
|---|---|---|---|---|
| Elementary (Grades 1–6) | 284 | 459 (within elementary) | 77 (Stages 1–3; 4 items added on 2026-10-21 per the 2025 revision) | 1136 |
| Junior High (Grades 7–9) | 315 | 563 (within junior high, unchanged) | 157 (Stage 4) | 1407 |
| High School Compulsory | 143 | 144 (within high school) | 48 (2017 Compulsory, pending verification) | 572 |
| High School Selective Compulsory | 128 | 148 (within Selective Compulsory) | 32 (2017 Selective Compulsory, pending verification) | 512 |
| Math Total | 870 | 1459 (plus 45 junior-high→elementary, 54 cross-stage in Compulsory, 46 cross-module in Selective Compulsory) | 314 | 3627 |
| Elementary English (Grades 3–6) | 275 | 368 (hard 117, soft 251; no edges to math) | 35 (2022 English Levels 1 and 2, all pending verification) | 1100 |
| Junior High English (Grades 7–9) | 257 | 361 (hard 117, soft 244; of which 29 hard edges point to elementary English) | 37 (2022 English Level 3, all pending verification) | 1028 |
| High School English (Compulsory Books 1–3, Selective Compulsory Books 1–4) | 259 | 299 (hard 44, soft 255; of which 22 point to junior high English) | 44 (2017 High School English, all pending verification) | 1036 |
| Junior High Physics (Grade 8 Books 1–2, full-volume Grade 9) | 92 | 123 (hard 100, soft 23; no edges to math; plus 34 mathLinks) | 89 (2022 Edition, 2025 Revision; proofread after OCR) | 368 |
| High School Physics (Compulsory Books 1–3, Selective Compulsory Books 1–3) | 177 | 514 (hard 277, soft 237; of which 105 point to junior high physics; no edges to math; plus 64 mathLinks) | 108 (2017 Edition, 2020 Revision: 87 content requirements + 21 mandatory student experiments, pending verification) | 708 |
Data format modeled after Marble os-taxonomy (topics + dependencies).
Feedback / Error Reports: If there are issues with question stems, answers, or prerequisite relationships, or if you’d like to suggest features, please open an issue (“Question Correction” and “Feature Suggestion” templates are provided).
Status disclaimer: This is an AI-generated first draft that has not been reviewed by any teacher. This applies equally to elementary, junior high, and high school mathematics, as well as elementary, junior high, and high school English. The granularity of knowledge point breakdowns, mastery criteria, diagnostic question answers, and especially prerequisite relationships (which are hard, which are soft, and whether a given edge should exist at all) all require review by frontline teachers before being used for instruction, diagnosis, or learning-path recommendations. Elementary and junior high mathematics diagnostic questions have automated verification; junior high mathematics additionally has blind-solve cross-checking, and elementary mathematics has an independent program-based review. High school and English questions have not undergone blind solving;
verifyand the answer come from the same expression. Elementary school volume catalogs, high school curriculum standard text, and high school chapter catalogs have mostly not been checked page-by-page against official sources. The English curriculum standard text, PEP, Go for it!, and PEP (2019) high school English unit catalogs have not been verified page-by-page; items marked “pending verification” should not be treated as official text or page numbers.Volume labeling: PEP A Edition Compulsory Book 2 is typically taught in the second semester of Grade 10. To split the two books into two
gradevalues, this repository labels Compulsory Book 1 as 10 / Grade 10 and Compulsory Book 2 as 11 / Grade 11 Compulsory. The three Selective Compulsory books continue as 12 / Selective Compulsory 1, 13 / Selective Compulsory 2, and 14 / Selective Compulsory 3 — not displayed as “Grade 12” or “Grade 13” on the site. For English, high school grades 10–12 correspond to Compulsory Books 1–3, and grades 13–16 correspond to Selective Compulsory Books 1–4; the site displays these as “Compulsory 1” through “Compulsory 3” and “Selective Compulsory 1” through “Selective Compulsory 4,” not as Grades 10–13. None of this is prescriptive for instructional pacing and is awaiting teacher adjustment.
Data Sources and Alignment Basis
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Curriculum Standards: Ministry of Education Compulsory Education Mathematics Curriculum Standards (2022 Edition) Stages 1–4 (Grades 1–9) [Content Requirements], and publicly available summaries of the five themes of Compulsory and the Selective Compulsory modules (Functions, Geometry and Algebra, Probability and Statistics, Mathematical Modeling and Mathematical Inquiry) from the General Senior High School Mathematics Curriculum Standards (2017 Edition, 2025 Revision).
data/cn-curriculum-standards.jsoncurrently contains 314 items (234 compulsory education + 48 high school Compulsory + 32 high school Selective Compulsory). The elementary section was reviewed and missing items were added on 2026-10-21 per the (2022 Edition, 2025 Revision) (see docs/moe2025-alignment.md);source.revision*records the current edition and verification scope. Stage 4 items are still the original text OCR’d from the Ministry of Education PDF; Stages 1–3 and high school items have not been verified page-by-page against the MoE PDF — all high school items are markedverbatim: falsewithpage_or_refset to “pending verification.” Sources, rules, coverage, and limitations are documented in docs/standards-mapping.md. High school item IDs use this graph’s own numbering schemecms-2017:H..NN, not the Ministry of Education’s original numbering. -
Textbook Sequence: PEP (People’s Education Press) Compulsory Education Mathematics textbooks. Junior high uses the new edition approved in 2024; chapter catalogs were obtained from the third-party e-textbook catalog site dzskb.com (not an official PEP page). Verification status is as follows (elementary volumes are listed in the “Elementary School Volume Catalogs” section below):
| Volume | Catalog Used | Verification Status | |—|—|—|—| | Grade 7 Book 1 | Chapter 1 Rational Numbers … Chapter 6 Introduction to Geometric Figures | Officially verified: Table of contents page preview checked on the National Smart Education Platform for Primary and Secondary Schools on 2026-10-22 (title marked “Revised per the 2022 Edition Curriculum Standards,” PEP ISBN 540ac93d); chapters and sections match this graph | | Grade 7 Book 2 | Chapter 7 Intersecting Lines and Parallel Lines … Chapter 12 Data Collection, Organization, and Description | Officially verified: Table of contents page preview checked on the National Smart Education Platform on 2026-10-22 (title marked “Revised per the 2022 Edition Curriculum Standards,” PEP ISBN 81d65033); chapters and sections match this graph | | Grade 8 Book 1 | Chapter 13 Triangles … Chapter 18 Algebraic Fractions (2024 approved edition) | Officially verified: Table of contents page preview checked on the National Smart Education Platform on 2026-10-22 (title marked “Revised per the 2022 Edition Curriculum Standards,” PEP ISBN 81264e9e); chapters and sections match this graph | | Grade 8 Book 2 | Chapter 19 Quadratic Radicals … Chapter 24 Data Analysis (2024 approved edition) | Officially verified: Table of contents page preview checked on the National Smart Education Platform on 2026-10-22 (title marked “Revised per the 2022 Edition Curriculum Standards,” PEP ISBN e91a6f80); chapters and sections match this graph | | Grade 9 Book 1 | Chapter 25 Quadratic Equations in One Variable … Chapter 30 Relative Positions of Lines and Circles (2024 approved edition) | Officially verified: Table of contents page preview checked on the National Smart Education Platform on 2026-10-22 (title marked “Revised per the 2022 Edition Curriculum Standards,” PEP ISBN 937a48c1); chapters and sections match this graph | | Grade 9 Book 2 | Chapter 31 Similarity; Chapter 32 Acute Trigonometric Functions (chapter-end Integrated Practice: Parking Design Problem); Chapter 33 Projections and Views (chapter-end Integrated Practice: Mathematics in Architecture); Chapter 34 Probability of Random Events (34.1.1 Random Events, 34.1.2 Probability, 34.2 Finding Probability by Enumeration, 34.3 Estimating Probability by Frequency) | Unofficial, pending verification. See “Sources and Verification Status for the Grade 9 Book 2 Catalog” below. On 2026-10-22, the Smart Education Platform showed that the PEP Grade 9 Book 2 (ab188631) title still does not include “Revised per the 2022 Edition Curriculum Standards” — the new edition is not yet online |
The new textbooks represent significant changes from the old editions (e.g., polygons moved to Grade 8 Book 2 “Quadrilaterals,” inverse proportional functions moved to Grade 9 Book 1, new “Data Quartiles” and “Integrated Practice” topics, probability moved from Grade 9 Book 1 to Book 2 and renamed “Probability of Random Events,” etc.). This graph follows the new edition catalog.
Sources and Verification Status for the Grade 9 Book 2 Catalog (investigation date: 2026-10-17; unofficial, pending verification)
Conclusion: No official 2024-edition Grade 9 Book 2 table of contents page was found on the PEP website (pep.com.cn). The official “New Textbook Introduction” page only describes the editorial approach and does not list chapter contents for each volume; the “Mathematics Grade 9 Book 2” page on pep.com.cn shows the old edition cover with no table of contents displayed. The 2024-edition Grade 9 Book 2 textbook is expected to be put into use starting in the spring semester of 2027. The following catalog is the most reliable inference synthesized from third-party sources and is not official text. Chapter names and numbers should be confirmed against the physical textbook or the official PEP table of contents.
| Chapter | Chapter Name Used | Basis | |—|—|—|—| | Chapter 31 | Similarity | Source A (search snippet); connects to Source D’s Grade 9 Book 1 final chapter “Chapter 30” | | Chapter 32 | Acute Trigonometric Functions; chapter-end “Integrated Practice: Parking Design Problem” | Source A (search snippet) | | Chapter 33 | Projections and Views; chapter-end “Integrated Practice: Mathematics in Architecture” | Source A (search snippet) | | Chapter 34 | Probability of Random Events: 34.1.1 Random Events, 34.1.2 Probability, 34.2 Finding Probability by Enumeration, 34.3 Estimating Probability by Frequency | Sources B, C |
Sources:
- A: Zhihu column post Revised PEP Junior High Mathematics Textbook Catalogs for Grades 7–9, Fall 2024 Semester https://zhuanlan.zhihu.com/p/706262283 — the body requires login and could not be read; only the search result snippet was visible: “Grade 9 Book 2: Chapter 31 Similarity, Chapter 32 Acute Trigonometric Functions, Integrated Practice: Parking Design Problem, Chapter 33 Projections and Views, Integrated Practice: Mathematics in Architecture, Chapter 34 Random…” (snippet truncated).
- B: LibreMath teaching-aid page https://libremath.cn/textbook/renjiao-jiuxia-sui-ji-shi-jian-de-gai-lv/ — labeled “PEP (2024 approved) Grade 9 Book 2, Chapter 34 Probability of Random Events,” listing sections 34.1.1–34.3, and noting that the new edition is used from spring 2027 and the chapter name changed from “Introduction to Probability” to “Probability of Random Events.” Third-party teaching aid, not official.
- C: 21cnjy new textbook Grade 9 Book 2 search snippet (https://mip.21cnjy.com/mulu/7/326226-2.html; the page itself timed out): “Chapter 34 Probability of Random Events, 34.1 Random Events and Probability, 34.2 Finding Probability by Enumeration…” — consistent with B.
- D: dzskb.com Grade 9 Book 1 2024 page https://www.dzskb.com/rjbsx9sc-2024.html — Grade 9 Book 1 covers Chapters 25–30 (inverse proportional functions are in Grade 9 Book 1, Chapter 27), so Grade 9 Book 2 starts at Chapter 31, consistent with A.
Sources not adopted: The dzskb.com page labeled “2024 approved edition (current)” for Grade 9 Book 2 (https://www.dzskb.com/rjbsx9sce-2024.html) lists “Chapter 26 Inverse Proportional Functions / 27 Similarity / 28 Acute Trigonometric Functions / 29 Projections and Views” — identical in content to the old-edition page on the same site, and contradictory with its own Grade 9 Book 1 2024 page (inverse proportional functions cannot simultaneously be in Grade 9 Book 1 Chapter 27 and Grade 9 Book 2 Chapter 26). This was judged to be a mislabeled old-edition catalog and was not adopted.
Parts still pending verification: (1) Section numbers for Chapters 31–33 have not been found; the chapter field only goes as far as the chapter level, without section numbers. Chapter 34 section numbers come from B and C. (2) The two “Integrated Practice” items come only from Source A’s snippet; the specific activity content has not been verified — the descriptions and prerequisite edges for cnm_290 and cnm_291 were inferred from the topic names. (3) Knowledge points within each chapter carry over the breakdowns from the first version and have not been compared section-by-section against the new textbook. (4) The Chapter 34 name “Probability of Random Events” comes from third-party sources B and C; Source A’s snippet was truncated.
Elementary School Textbook Catalogs (PEP; investigation date 2026-10-19; Grades 1 and 2 re-verified per the new editions on 2026-10-22)
No official catalog listing all volumes for Grades 1–6 with their unit contents was found on the PEP website (pep.com.cn). The new editions (approved progressively since 2024) have public catalogs covering only some of the lower grades; Grade 3 Books 1–2, Grade 4 Book 1, Grade 5 Book 1, and Grade 6 Book 1 have switched to the new edition units (from 2026-10-22). Grade 5 Book 2 has been aligned to the Spring 2026 new edition catalog (2026-10-27). Grade 6 Book 1 section assignments were re-verified against the official Fall 2026 catalog (2026-10-27). Grade 4 Book 2’s new edition has not yet been published (or is pending verification). Grade 6 Book 2’s new edition has not yet been published; the current dzkbw xs6x_new was used to fill in sections for legacy units (2026-10-27), retaining placeholder points migrated from Grade 6 Book 1. The table below lists the units actually used in this graph; those not found on official sites are marked “unofficial, pending verification.” General review and organizing-and-review units do not get knowledge points. The chapter field is written as “Grade X Book Y Unit N Unit Name”; integrated practice items are written as “Grade X Book Y Integrated Practice Name” (without extra spaces — the diagnostic tool parses the volume from this format).
| Volume | Catalog Used | Verification Status |
|---|---|---|
| Grade 1 Book 1 (Fall 2024, new edition) | Opening “Math Games” (cnm_p015 up/down/left/right, cnm_p022 find and sort, originally hung under “My Classroom” and “Math Games Sharing,” re-hung); Unit 1 Numbers within 5 and Addition/Subtraction; Unit 2 Numbers 6–10 and Addition/Subtraction (new: cnm_p253 Solving problems with addition and subtraction); Unit 3 Recognizing Solid Figures (new: cnm_p254 Put-together puzzles); Unit 4 Numbers within 20; Unit 5 Addition with Carrying within 20 (new: cnm_p251 Adding 5, 4, 3, 2, cnm_p252 Reverse-use of addition to solve problems); Unit 6 Review and Connections (no points) | Officially verified: Unit catalog checked on the National Smart Education Platform (basic.smartedu.cn) on 2026-10-22, marked “Revised per the 2022 Edition Curriculum Standards.” Section-level alignment done on 2026-10-28 against dzkbw xs1s_2024 (http://www.dzkbw.com/books/rjb/shuxue/xs1s_2024/). Grade 1 Book 1 now has 26 knowledge points. “Solving problems with addition / subtraction / addition and subtraction” merged into cnm_p253; “Re-understanding 10,” “Simple addition and subtraction,” and “Solving problems” merged into existing points, not created separately. |
| Grade 1 Book 2 (Spring 2025, new edition) | Unit 1 Recognizing Plane Figures (cnm_p023 renamed “Recognizing Plane Figures,” including parallelograms; cnm_p024 renamed “Combining Shapes”; new: cnm_p255 Tangram); Unit 2 Subtraction with Borrowing within 20 (new: cnm_p256 Solving problems with redundant information); Unit 3 Numbers within 100 (cnm_p028 renamed “Counting and Place Value,” cnm_p029 renamed “Number Order and Comparing Size,” cnm_p030 renamed “Simple Addition and Subtraction”; new: cnm_p257 Reading and writing, cnm_p258 Understanding 100); Unit 4 Mental Addition and Subtraction within 100 (cnm_p031 renamed “Mental Addition,” cnm_p032 renamed “Mental Subtraction”; new: cnm_p259 Solving problems with consecutive subtraction); Unit 5 Written Addition and Subtraction within 100 (cnm_p033 renamed “Written Addition,” cnm_p034 renamed “Written Subtraction”); Unit 6 Addition and Subtraction Relationships between Quantities (cnm_p035 renamed “Part and Whole”; cnm_p217 Finding the difference, cnm_p218 Finding a number that is more/less than another); ☆ Happy Shopping Street (new: cnm_p260 I Run the Shop); Unit 7 Review and Connections (no points) | Officially verified: Unit catalog checked on the National Smart Education Platform (basic.smartedu.cn) on 2026-10-22, marked “Revised per the 2022 Edition Curriculum Standards.” Section-level alignment done on 2026-10-28 against dzkbw xs1x_2025 (http://www.dzkbw.com/books/rjb/shuxue/xs1x_2025/). Grade 1 Book 2 now has 22 knowledge points. Organizing-and-review, optional “Place and Think,” and mini lecture hall are not created as separate points; mental addition/subtraction is not split into carrying and borrowing. |
| Grade 2 Book 1 (Fall 2025, new edition) | Unit 1 Sorting and Organizing (cnm_p037; new: cnm_p261 Hierarchical sorting); Unit 2 Multiplication Tables for 1–6 (cnm_p038 renamed “Introduction to Multiplication,” cnm_p039 renamed “Multiplication Facts for 2–6,” cnm_p057 renamed “Multiply-Add and Multiply-Subtract,” cnm_p048 renamed “Choosing an Operation to Solve Problems”; new: cnm_p262 Solving shopping problems with multiplication); Unit 3 Division within Multiplication Tables for 1–6 (new: cnm_p263 Equal sharing (partitive), cnm_p264 Equal sharing (measurement); cnm_p046 renamed “Using Multiplication Facts for 2–6 to Find Quotients,” cnm_p047 renamed “Basic Division Applications”); ☆ Campus Tour Guide (cnm_p049 renamed “Understanding North, South, East, West”; new: cnm_p267 Designing a tour route); Unit 4 Centimeters and Meters (cnm_p040/cnm_p041 renamed to include “Measuring with…”; new: cnm_p265 Understanding line segments, cnm_p266 Solving problems with estimation); ☆ Body Rulers (cnm_p045 renamed “Finding, Measuring, and Using Body Rulers”); Unit 5 Multiplication and Division Tables for 7–9 (cnm_p042/cnm_p044 now use “~”; new: cnm_p268 Solving two-step consecutive questions); Unit 6 Review and Connections (no points) | Officially verified: Unit catalog checked on the National Smart Education Platform on 2026-10-22, marked “Revised per the 2022 Edition Curriculum Standards.” Section-level alignment done on 2026-10-29 against dzkbw xs2s_2025 (http://www.dzkbw.com/books/rjb/shuxue/xs2s_2025/). Grade 2 Book 1 now has 22 knowledge points. Multiplication facts for 2, 3, 4, and 6 merged into cnm_p039; organizing-and-review not created as separate points. |
| Grade 2 Book 2 (Spring 2026, new edition) | ☆ Where Is Time? (cnm_p061 renamed “Understanding Time,” cnm_p062 Conversion between hours, minutes, and seconds, cnm_p063 renamed “My Time Story”; new: cnm_p273 My Time Booklet); Unit 1 Division with Remainders (cnm_p050 renamed “Division with Remainders,” cnm_p051, cnm_p052); Unit 2 Multiplication and Division Relationships between Quantities (cnm_p219); Unit 3 Numbers within 10,000 (cnm_p053 renamed “Numbers within 1000”; new: cnm_p269 Numbers within 10000, cnm_p270 Simple addition and subtraction; cnm_p054/cnm_p055 retained); Unit 4 Addition and Subtraction within 10,000 (cnm_p071/cnm_p072 renamed “Addition” and “Subtraction”; cnm_p064–p066, cnm_p220; new: cnm_p271 Sudoku game); ☆ Math Comic Strips (new: cnm_p272 Comic strip sharing session); Unit 5 Review and Connections (cnm_p060 Simple patterns provisionally placed under Application Enhancement, pending verification) | Officially verified: Unit catalog checked on the National Smart Education Platform on 2026-10-22, marked “Revised per the 2022 Edition Curriculum Standards.” Section-level alignment done on 2026-10-29 against dzkbw xs2x_2026 (http://www.dzkbw.com/books/rjb/shuxue/xs2x_2026/). Grade 2 Book 2 now has 22 knowledge points. Organizing-and-review and mini lecture hall are not created as separate points. Grams and kilograms remain in Grade 3 Book 1. |
| Grade 3 Book 1 (Fall 2025, new edition) | Unit 1 Observing Objects (cnm_p221; new: cnm_p274 Guessing block shapes from diagrams; cnm_p222 renamed “Unfolding a rectangular box”); Unit 2 Mixed Operations (cnm_p223 renamed “Same-Level and Two-Level Operations,” cnm_p058 renamed “Two-Level Operations with Parentheses,” cnm_p059 renamed “Solving problems with mixed operations”); Unit 3 Millimeters, Decimeters, and Kilometers (cnm_p067–p069 renamed to include “Understanding/Unit conversion”; new: cnm_p279 Estimating distances); ☆ Cao Chong Weighs the Elephant (cnm_p056 renamed “Understanding Units of Mass,” cnm_p070, cnm_p224 renamed “Substitution of Equal Quantities”); Unit 4 Multiplying Multi-Digit Numbers by One Digit (new: cnm_p275 Mental multiplication, cnm_p276 Estimating products; cnm_p074 renamed “Written multiplication,” cnm_p075); ☆ Number Codes (cnm_p076 renamed “Understanding Number Codes”; new: cnm_p280 Creating student ID numbers); Unit 5 Lines and Angles (cnm_p099 renamed “Concepts of Line Segments, Rays, and Lines”; new: cnm_p277 Comparing line segment lengths with a compass; cnm_p225, cnm_p101 renamed “Right, Acute, and Obtuse Angles”); Unit 6 Introduction to Fractions (new: cnm_p278 Understanding one-half; cnm_p079/p226/p080 renamed; cnm_p227); Unit 7 Review and Connections (cnm_p073 Understanding multiples, cnm_p081 Sets provisionally placed under Quantitative Relationships, old-edition placement pending verification; cnm_p095 renamed “Arrangement Problems” and re-hung here, corresponding to Math Corner: Arrangement Problems) | Officially verified (units): Unit catalog checked on the National Smart Education Platform on 2026-10-22, marked “Revised per the 2022 Edition Curriculum Standards.” Section-level alignment done on 2026-10-29 against dzkbw xs3s_2025 (http://www.dzkbw.com/books/rjb/shuxue/xs3s_2025/). Grade 3 Book 1 now has 31 knowledge points. Organizing-and-review, mini lecture hall, and weighing challenge are not created as separate points; written computation is not split into carrying sub-categories (the zero case still uses cnm_p075). Rectangles and squares (cnm_p077, p078) moved to Grade 3 Book 2. |
| Grade 3 Book 2 ( |
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