Math Coherence Map

Dataset last updated September 23, 2025.

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’ ↗ Coherence Map for Common Core State Standards for Mathematics ↗
Supported grades	K-12
Includes	Math Coherence Map
Dataset dependencies	U.S. academic standards - Math standards
REST API endpoints	Prerequisites for a standard Standards a standard builds towards Related standards for a standard

Use cases

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

Schema

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

Data model diagram: StandardsFrameworkItem nodes connected by buildsTowards
and relatesTo (Coherence Map learning
progressions)


Entities	`StandardsFrameworkItem` (defined in Standards) Standard from Common Core Math (e.g. 3.OA.A.1 or 4.NBT.B.5)
Relationships	`StandardsFrameworkItem` → `buildsTowards` → `StandardsFrameworkItem` (e.g. 3.OA.A.1 → 4.NBT.B.5) `StandardsFrameworkItem` → `relatesTo` → `StandardsFrameworkItem` (e.g. 3.NF.A.1 ↔ 3.NF.A.2)

Dataset release history

Date	Changed
September 23, 2025	First release based on the Student Achievement Partners Coherence Map ↗ for CCSSM.

Learning progressions schema reference

Review entities, relationships, and property definitions for Learning Progressions.

Tutorial: Generate practice questions

Use progressions to find prerequisites and generate practice content.

Understanding Knowledge Graph

Getting Started

Using Knowledge Graph

Datasets

Schema Reference

Resources

Overview

Use cases

Schema

Dataset release history

Learning progressions schema reference

Tutorial: Generate practice questions

​Overview

​Use cases

​Schema

​Dataset release history

​Related topics

Learning progressions schema reference

Tutorial: Generate practice questions

Overview

Use cases

Schema

Dataset release history

Related topics