> ## 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 learning components
> Reference for Math learning components in Knowledge Graph: granular mathematics skills and concepts aligned to standards, with support for progressions and content tagging.
[Dataset last updated June 18, 2026.](#dataset-release-history)
## Overview
The Math learning components dataset uses Learning Components
[entities](/knowledge-graph/schema-reference/learning-components#entities) and
[relationships](/knowledge-graph/schema-reference/learning-components#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](/knowledge-graph/schema-reference/standards) down into measurable, teachable parts.
| | |
| :------------------- | :---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| **Source** | [Achievement Network](https://www.achievementnetwork.org/) ↗- 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**](/knowledge-graph/schema-reference/learning-components#entities) | - [`LearningComponent`](/knowledge-graph/schema-reference/learning-components#learningcomponent)
- Granular skill or concept (e.g. Use place value to add two two-digit numbers)
- [`StandardsFrameworkItem`](/knowledge-graph/schema-reference/standards#standardsframeworkitem) (in [Standards](/knowledge-graph/schema-reference/standards#entities))
- Standard that a Learning Component supports (e.g. 2.NBT.B.5)
|
| [**Relationships**](/knowledge-graph/schema-reference/learning-components#relationships) | - [`LearningComponent`](/knowledge-graph/schema-reference/learning-components#learningcomponent) → [`supports`](/knowledge-graph/schema-reference/learning-components#supports) → [`StandardsFrameworkItem`](/knowledge-graph/schema-reference/standards#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](/api-reference/learning-components/learning-components-for-a-standard)
|
## 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](/knowledge-graph/understanding-knowledge-graph/core-concepts#standards-frameworks) in upcoming releases.
## Related topics
Review entities, relationships, and property definitions for Learning
Components.
Explore English Language Arts Learning Components coverage and use cases.
Use Learning Components to analyze cross-state standards alignment.
Query learning components by ID, subject, or standard via the REST API.
See the standards that Learning Components support and align to.