Every math diagram. Precisely correct. Standards-aligned.

For curriculum teams who need a production workflow. For developers who need an API.

For curriculum teamsFor developers

Every diagram reviewed by a curriculum expert. Every receipt standards-documented.

Tape diagram showing 7 plus unknown equals 20207?

Part-whole · Missing addend · Grade 1–2 · CGI: Join (Result Unknown)

Generating a diagram is easy. Generating the right one is the hard part.

Double ten frame showing fourteen as ten plus four

Ten Frame (Double)

Composing teen numbers as ten and some more. Subitizing and place value foundation.

Place value · Grade K–1 · 10 = 10, 14 = 10 + 4

Tape diagram showing three groups of six equals eighteen66618

Tape Diagram (Equal Groups)

Three groups of six modeled as equal partitions of an eighteen-unit whole.

Equal groups · Grade 3 · Multiplication structure

Number line showing three-fourths between zero and one01/41/23/41

Number Line (Fractions)

Locating three-fourths on a partitioned unit interval — fractions as numbers.

Fractions on a number line · Grade 3 · 3.NF.A.2

Area model showing twenty-three times fourteen with partial products2032310414200308012

Area Model (Multi-Digit Multiplication)

Twenty-three times fourteen decomposed by place value into four partial products.

Multi-digit multiplication · Grade 4–5 · Distributive property

Comparison tape diagram: forty-five compared to unknown, difference of seventeen45?17

Tape Diagram (Comparison)

Comparing forty-five with an unknown quantity, with a difference of seventeen.

Comparison · Grade 2–3 · Subtraction structure

Ten frame showing seven dots

Ten Frame (Subitizing)

Seven shown as five and two — anchoring early number sense to the ten frame.

Counting and composition · Grade K · Subitizing

Integer number line from negative three to positive three with point at negative one−3−2−10123

Number Line (Integers)

Negative one positioned on a signed number line spanning negative three to positive three.

Integers · Grade 6 · 6.NS.C.6

Tape diagram showing three-fifths of a whole3/5

Tape Diagram (Fraction of a Whole)

Three-fifths shown as three of five equal parts of a single whole unit.

Fraction of a whole · Grade 3–5 · 5.NF.B.4

Not just diagrams. The right diagrams.

  1. 01

    Standards-aligned

    Every output is grounded in Illustrative Mathematics scope and sequence and the CZI Learning Commons knowledge graph.

  2. 02

    Pedagogically accurate

    The system knows which CGI problem types map to which representations, and which grade bands they’re appropriate for.

  3. 03

    Schema-first

    You describe the math; the engine decides the optimal visual. The API returns a ready-to-embed SVG.

{
  "mathType": "part_whole",
  "semantics": "join",
  "variation": "result_unknown",
  "parts": [7, null],
  "total": 20,
  "grade_band": "1-2"
}

Returns a pedagogically correct, standards-aligned SVG. Every time.

Built for the products curriculum teams actually build

Whether you’re building inside a curriculum platform, an authoring tool like Canva for education, or an LMS integration — the representation engine handles the hard part. Pedagogical accuracy, standards alignment, and grade-band appropriateness are decided for you, so your team can focus on the experience around the math.

Every diagram is deterministic, consistent across surfaces, and grounded in the same scope and sequence your editorial team already trusts.

Get in touch →

An API that understands math education

A schema-driven API with deterministic outputs. Describe the math; receive standards-aligned SVG that renders anywhere — web, print, or embedded learning experience. REST endpoint coming. SDK available.

Get in touch →
{
  "mathType": "equal_groups",
  "semantics": "multiplication",
  "groups": 3,
  "per_group": 6,
  "grade_band": "3"
}