Math learning components

Dataset last updated June 18, 2026.

Overview

The Math learning components dataset uses Learning Components entities and relationships.

The Math learning components dataset represents granular mathematics skills or individual concepts that operate at the instructional level – i.e., a lesson, an activity, or even a single question. It essentially breaks broad Standards down into measurable, teachable parts.


Source	Achievement Network ↗ Includes Common Core State Standards for Mathematics (CCSSM), Alabama, Arkansas, California, Colorado, Connecticut, Delaware, Florida, Georgia, Hawaii, Idaho, Illinois, Iowa, Kansas, Kentucky, Louisiana, Maine, Maryland, Massachusetts, Michigan, Mississippi, Missouri, Montana, Nevada, New Hampshire, New Jersey, New Mexico, New York, North Carolina, North Dakota, Ohio, Oregon, Pennsylvania, Rhode Island, South Dakota, Tennessee, Texas, Utah, Vermont, Washington, Washington, D.C., West Virginia, Wisconsin, and Wyoming
Supported grades	K-12
Includes	Math learning components

Use cases

Use case	Examples
Target specific skills	Build lesson plans around granular skills like Use place value to add two two-digit numbers Create activities that cater to specific concepts or skills, vs. a broader standard
Tag educational content accurately	Tag questions, activities, and materials to the specific skills they assess Improve search and recommendations by focusing on specific skills rather than broad standards
Identify where students may need support on individual standards	Give each student a score for each Learning Component entity in the Knowledge Graph Pinpoint the gaps in a student’s skills for a given standard
Underpin learning progressions	Plan a student’s learning journey with skill-level granularity Group students by the specific skills they have mastered or still need to learn

Some standards do not have Learning Component alignments.Categories like Standards for Mathematical Practice (SMPs), Pre-K, advanced math such as calculus, financial literacy in Texas, and certain state-specific groupings are intentionally excluded from Learning Component generation.

Schema

The data connects granular skills to academic standards with the following entities and relationships:


Data model
Entities	`LearningComponent` Granular skill or concept (e.g. Use place value to add two two-digit numbers) `StandardsFrameworkItem` (in Standards) Standard that a Learning Component supports (e.g. 2.NBT.B.5)
Relationships	`LearningComponent` → `supports` → `StandardsFrameworkItem` (e.g. Use place value to add two two-digit numbers → 2.NBT.B.5)

Usage details


Requires files from other datasets	None
References files from other datasets	Math Standards
REST API endpoints	Learning Components

Dataset release history

Date	Changed
June 18, 2026	Removed duplicate Learning Components.
September 23, 2025	First release with Mathematics Learning Components.

Roadmap

We will be expanding Mathematics support for more state standards frameworks in upcoming releases.

Learning components schema reference

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

ELA learning components dataset

Explore English Language Arts Learning Components coverage and use cases.

Tutorial: Compare Common Core and state frameworks

Use Learning Components to analyze cross-state standards alignment.

Learning Components API endpoints

Query learning components by ID, subject, or standard via the REST API.

Standards schema reference

See the standards that Learning Components support and align to.

Understanding Knowledge Graph

Getting Started

Using Knowledge Graph

Datasets

Schema Reference

Resources

Overview

Use cases

Schema

Usage details

Dataset release history

Roadmap

Learning components schema reference

ELA learning components dataset

Tutorial: Compare Common Core and state frameworks

Learning Components API endpoints

Standards schema reference

​Overview

​Use cases

​Schema

​Usage details

​Dataset release history

​Roadmap

​Related topics

Learning components schema reference

ELA learning components dataset

Tutorial: Compare Common Core and state frameworks

Learning Components API endpoints

Standards schema reference

Overview

Use cases

Schema

Usage details

Dataset release history

Roadmap

Related topics