Math Coherence Map

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 (SAP)

Source

Student Achievement Partners’ ↗ Coherence Map for Common Core State Standards for Mathematics ↗

Supported grades

K-12

Includes

Math Coherence Map (SAP)

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
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)

Data model

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)


Requires files from other datasets	Math standards
References files from other datasets	None
REST API endpoints	Prerequisites for a standard Standards a standard builds towards Related standards for a standard

Requires files from other datasets

Math standards

References files from other datasets

None

REST API endpoints

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

Date

Changed

September 23, 2025

First release based on the Student Achievement Partners Coherence Map ↗ for CCSSM.

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

Understanding Knowledge Graph

Getting Started

Using Knowledge Graph

Datasets

Schema Reference

Resources

Overview

Use cases

Schema

Usage details

Dataset release history

Learning progressions schema reference

Tutorial: Generate practice questions

​Overview

​Use cases

​Schema

​Usage details

​Dataset release history

​Related topics

Learning progressions schema reference

Tutorial: Generate practice questions

Overview

Use cases

Schema

Usage details

Dataset release history

Related topics