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The curriculum framework

From first questions to serious study.

A planned library of reviewed, sequenced Knowledge Trees spanning core subjects, meaningful electives, undergraduate depth, and Biblical Studies through seminary-level work.

Curriculum coverage
10subject fields
6learning levels
K–23–56–89–12CollegeSeminary+

Every row represents one field. Every column shows how that field can deepen from early foundations through advanced study.

Ten connected fields

Broad enough for a whole education. Structured enough to navigate.

Each field is designed as a family of Knowledge Trees with declared objectives, prerequisite relationships, assessment evidence, sources, and reviewer state. Select any field to explore its named subject examples across all six levels.

Field 01 of 10

Patterns · Reasoning · Proof

Mathematics

The learning progression begins with counting, advances through operations and generalization, and culminates in proof. Each level turns the previous level’s answers into the next level’s objects: numbers become expressions, expressions become functions, and functions become subjects of analysis.

Early Years

K–2 subject examples

5 planned Knowledge Trees

01

Early Number Sense

What numbers are — counting one-to-one, recognizing small amounts at a glance, comparing groups by matching, and reading and writing digits

02

Addition & Subtraction

Joining and separating groups, the language of "how many altogether" and "how many left", and the facts within ten

03

Shapes & Spatial Thinking

Naming and sorting two- and three-dimensional shapes, describing position, and seeing how shapes combine and come apart

04

Measurement Through Play

Comparing length, weight, and capacity directly, then with repeated non-standard units, before any ruler appears

05

Patterns & Mathematical Talk

Finding, copying, extending, and inventing patterns, and saying out loud why a thing comes next

Mathematics
One library, changing depth

Age shapes presentation. Readiness shapes placement.

Grade level helps set reading density, pacing, examples, and independence. Demonstrated mastery determines whether a learner is ready for the next branch.

Biblical Studies

Transparent conviction. Serious scholarship.

Biblical and theological study is planned from age-appropriate biblical literacy through original-language work, hermeneutics, exegesis, church history, systematic theology, ethics, apologetics, ministry, and seminary-depth research.

Worldview and interpretive commitments should be named rather than hidden. Sources, traditions, and contested positions remain visible to the adult or responsible parent.

Important boundary

Comprehensive does not mean accredited.

Curiosity Tree is being designed to provide curriculum, assessments, grades, records, portfolios, and unofficial transcripts. It does not currently award diplomas, college credit, degrees, seminary credentials, licenses, or accreditation.

Follow the build

A curriculum can be coherent without being confining.

Follow the build as the first reviewed Knowledge Trees move from prototype to family pilot.

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