Skip to main content

​
Overview

The Standards crosswalk relationship connects state mathematics standards to their closest matching Common Core State Standards (CCSSM) based on measurable overlap of Learning Components (LCs). Crosswalks provide developers and content providers with a scalable way to extend mappings from CCSSM to state-specific frameworks without having to independently replicate matching logic. By leveraging the LC superset, crosswalks show where state and CCSSM standards converge in content coverage. This data can be used to more easily adapt content aligned to CCSSM for use in specific jurisdictions Key characteristics:
  • Evidence-based mapping: Crosswalks are built only when standards share at least one LC.
  • Similarity measurement: Each relationship includes a jaccard similarity score and supporting counts of LCs.
  • Directionality: Crosswalks always connect from a state standard → CCSSM standard and not between states.
  • Scope: Limited to math standards in states where LC alignment exists.
This design ensures that crosswalks are transparent, consistent, and extensible as additional states’ LC alignments are completed.

​
Data relationship diagram

State standards to Common Core State Standard crosswalk diagram

​
How Crosswalks Are Generated

​
Relationship properties

Each crosswalk is represented as a directional relationship: (state standard) -[:hasStandardAlignment]-> (ccss standard) The relationship includes quantitative measures of similarity:
PropertyDescription
jaccardProportion of shared LCs between state and CCSS standards (0 < jaccard ≤ 1).
stateLCCountNumber of Learning Components supporting the state standard.
ccssLCCountNumber of Learning Components supporting the CCSS standard.
sharedLCCountNumber of Learning Components shared by both standards.
Only standards with at least one shared LC are included. Every hasStandardAlignment edge represents an evidence-based connection.

​
Understanding the Jaccard index

The Jaccard index measures similarity between two sets — here, the sets of Learning Components that support each standard. Jaccard=Shared LCsAll Unique LCs Across Both Standards{Jaccard} = \frac{\text{Shared LCs}}{\text{All Unique LCs Across Both Standards}}
  • A score of 1.0 means the standards share all of their Learning Components.
  • A score of 0.0 means they share none.
  • Scores between 0 and 1 indicate partial overlap, with higher values representing stronger similarity. Depending on your use case, you may be interested in overlaps above a threshold between 0 and 1.
    Example: If a state standard has 5 Learning Components and a CCSSM standard has 6, and they share 4 of them: Jaccard=4/(5+6−4)=0.57. This means about 57% of their underlying skills overlap.

​
Crosswalk relationship

​
hasStandardAlignment

A hasStandardAlignment connects a State Standard StandardsFrameworkItem to a CCSS Standard StandardsFrameworkItem when the two share overlapping Learning Components. (:StandardsFrameworkItem) -[:hasStandardAlignment]-> (:StandardsFrameworkItem)

​
Example

JSON
{
  "identifier": "e16cb044-365e-5019-9687-a3120d12c8f8",
  "relationshipType": "hasStandardAlignment",
  "description": "A hasStandardAlignment relationship connects a State standard to a CCSS standard when the two are supported by overlapping sets of Learning Components. The relationship indicates an evidence-based crosswalk derived from measurable overlap of deconstructed skills, expressed through properties such as jaccard and LC counts. It does not imply sequence, dependency, or pedagogical progression, only the degree of shared content between the two standards.",
  "sourceEntity": "StandardsFrameworkItem",
  "sourceEntityKey": "caseIdentifierUUID",
  "sourceEntityValue": "3f98a3f1-d7cc-11e8-824f-0242ac160002",
  "targetEntity": "StandardsFrameworkItem",
  "targetEntityKey": "caseIdentifierUUID",
  "targetEntityValue": "6b9e9181-d7cc-11e8-824f-0242ac160002",
  "dateCreated": "2025-11-18",
  "dateModified": "2025-11-18",
  "author": "Learning Commons",
  "provider": "Learning Commons",
  "license": "https://creativecommons.org/licenses/by/4.0/",
  "attributionStatement": "Knowledge Graph is provided by Learning Commons under the CC BY-4.0 license.",
  "jaccard": 0.4286,
  "stateLCCount": 3,
  "ccssLCCount": 7,
  "sharedLCCount": 3
}