> ## Documentation Index
> Fetch the complete documentation index at: https://docs.learningcommons.org/llms.txt
> Use this file to discover all available pages before exploring further.

# Math Coherence Map

> Reference for the Math Coherence Map dataset in Knowledge Graph based on the Student Achievement Partners' Coherence Map: buildsTowards and relatesTo relationships for tracing prerequisite and successor standards.

[Dataset last updated September 23, 2025.](#dataset-release-history)

## Overview

The Math Coherence Map dataset represents how students traverse learning paths to develop understanding over time.

It includes both directional progressions and non-sequential conceptual links.

|                      |                                                                                                                                                                                   |
| :------------------- | :-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| **Source**           | [Student Achievement Partners'](https://achievethecore.org/) ↗ [Coherence Map for Common Core State Standards for Mathematics](https://tools.achievethecore.org/coherence-map/) ↗ |
| **Supported grades** | K-12                                                                                                                                                                              |
| **Includes**         | Math Coherence Map (SAP)                                                                                                                                                          |

## Use cases

| Use case                                                      | Examples                                                                                                                                                                                          |
| :------------------------------------------------------------ | :------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ |
| **Trace prerequisite and successor academic standards**       | <ul><li>Query prerequisites for the 4.NBT.B.5 standard</li><li>Find all the standards that the 3.OA.A.1 standard builds towards</li></ul>                                                         |
| **Build coherent instructional sequences and learning paths** | <ul><li>Ensure students have mastered prerequisite skills before introducing new ones</li><li>Explore both directional (prerequisite and successor) and non-sequential conceptual links</li></ul> |

## Schema

The data models how student understanding develops over time with the following entities and relationships:

|                                                                                            |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |
| :----------------------------------------------------------------------------------------- | :---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| **Data model**                                                                             | <Frame><img src="https://mintcdn.com/czi-60a2a443/bb-F2r75Gz83PPsi/images/kg/coherence-map-dataset_data-model-diagram_high-level.svg?fit=max&auto=format&n=bb-F2r75Gz83PPsi&q=85&s=65f4a6d966366569e055e38bbba6e055" alt="Data model diagram: StandardsFrameworkItem nodes connected by buildsTowards and relatesTo (Coherence Map learning progressions)" width="1384" height="900" data-path="images/kg/coherence-map-dataset_data-model-diagram_high-level.svg" /></Frame> |
| [**Entities**](/knowledge-graph/schema-reference/standards#entities)                       | <ul><li>[`StandardsFrameworkItem`](/knowledge-graph/schema-reference/standards#standardsframeworkitem) (defined in [Standards](/knowledge-graph/schema-reference/standards#entities))<ul><li>Standard from Common Core Math (e.g. <em>3.OA.A.1</em> or <em>4.NBT.B.5</em>)</li></ul></li></ul>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |
| [**Relationships**](/knowledge-graph/schema-reference/learning-progressions#relationships) | <ul><li>[`StandardsFrameworkItem`](/knowledge-graph/schema-reference/standards#standardsframeworkitem) → [`buildsTowards`](/knowledge-graph/schema-reference/learning-progressions#buildstowards) → [`StandardsFrameworkItem`](/knowledge-graph/schema-reference/standards#standardsframeworkitem) (e.g. 3.OA.A.1 → 4.NBT.B.5)</li><li>[`StandardsFrameworkItem`](/knowledge-graph/schema-reference/standards#standardsframeworkitem) → [`relatesTo`](/knowledge-graph/schema-reference/learning-progressions#relatesto) → [`StandardsFrameworkItem`](/knowledge-graph/schema-reference/standards#standardsframeworkitem) (e.g. 3.NF.A.1 ↔ 3.NF.A.2)</li></ul>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |

## Usage details

|                                          |                                                                                                                                                                                                                                                                                                                                                      |
| :--------------------------------------- | :--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| **Requires files from other datasets**   | Math standards                                                                                                                                                                                                                                                                                                                                       |
| **References files from other datasets** | None                                                                                                                                                                                                                                                                                                                                                 |
| **REST API endpoints**                   | <ul><li>[Prerequisites for a standard](/api-reference/academic-standards/prerequisites-for-a-standard)</li><li>[Standards a standard builds towards](/api-reference/academic-standards/standards-a-standard-builds-towards)</li><li>[Related standards for a standard](/api-reference/academic-standards/related-standards-for-a-standard)</li></ul> |

## Dataset release history

| Date               | Changed                                                                                                                               |
| ------------------ | ------------------------------------------------------------------------------------------------------------------------------------- |
| September 23, 2025 | First release based on the [Student Achievement Partners Coherence Map](https://tools.achievethecore.org/coherence-map/) ↗ for CCSSM. |

## Related topics

<CardGroup cols={2}>
  <Card title="Learning progressions schema reference" icon="share-nodes" href="/knowledge-graph/schema-reference/learning-progressions">
    Review entities, relationships, and property definitions for Learning
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  </Card>

  <Card title="Tutorial: Generate practice questions" icon="graduation-cap" href="/knowledge-graph/getting-started/tutorials/generate-practice-questions">
    Use progressions to find prerequisites and generate practice content.
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</CardGroup>