OMD Documentation

OMD

A JavaScript library for rendering mathematical visualizations and expressions as SVG.

Installation

npm install @teachinglab/omd

Getting Started

import { omdDisplay } from '@teachinglab/omd';

const display = new omdDisplay(document.getElementById('container'));

// Render a math string
display.render('3*x + 2');

// Render any visualization from JSON — one line
display.loadFromJSON({ omdType: 'numberLine', min: 0, max: 10, dotValues: [3, 7] });

Quick Start

import { omdDisplay, omdNumberLine } from '@teachinglab/omd';

// Render an expression
const display = new omdDisplay(document.getElementById('container'));
display.render('3*x + 2');          // expression
display.render('2*x + 3 = 7');      // equation (auto-detected by =)

// Render a visualization from JSON
display.loadFromJSON({ omdType: 'numberLine', min: 0, max: 10, dotValues: [3, 7] });

// Or build a component and load it
const line = new omdNumberLine();
line.loadFromJSON({ min: 0, max: 10, dotValues: [3, 7] });
display.load(line);

Core Concepts

omdDisplay

Renders a single component into a DOM container. The SVG sizes to fit the content and is aligned within the container.

const display = new omdDisplay(container, {
    alignment: 'center',   // 'center' | 'left' | 'right' (default: 'center')
    autoScale: true,       // shrink to fit if too large (default: true)
    maxScale: 1,           // never upscale past natural size (default: 1)
    padding: 8,            // padding around content in px (default: 8)
});

display.render('sqrt(x + 4)');                                      // string → auto-detected
display.loadFromJSON({ omdType: 'numberLine', min: 0, max: 10 });   // from JSON
display.load(myVisual);                                             // pre-built component
display.clear();
display.destroy();

omdCanvas

A multi-object stage. Add components at explicit positions.

const canvas = new omdCanvas(document.getElementById('stage'), {
    width: 1100,
    height: 500,
});

const plane = new omdCoordinatePlane();
plane.loadFromJSON({ xMin: -5, xMax: 5, yMin: -5, yMax: 5 });

// Position via add options
canvas.add(plane, { x: 30, y: 40 });

// Or position beforehand — equivalent
plane.setPosition(30, 40);
canvas.add(plane);

const eq = new omdEquation();
eq.loadFromJSON('2*x + 3 = 7');
canvas.add(eq, { x: 400, y: 200, scale: 1.5 });

canvas.move(plane, 60, 40);
canvas.remove(eq);
canvas.clear();

Components

Expressions & Equations

Expressions & Equations

Class Description Example input
omdExpression Math expression '3*x + 2' or { expression: '3*x+2', fontSize: 24 }
omdEquation Equation with = '2*x + 3 = 7' or { equation: '...', fontSize: 24 }
omdEquationStack Stacked equations aligned by = { equations: ['2x+3=7', '2x=4', 'x=2'] }
omdEquationWork Step-by-step worked solution { rows: [{kind:'equation', left:'2x+3', right:'7'}, ...] }

All expression/equation components support:

expr.setBackgroundColor('#fff');      // set background color
expr.hideBackgroundByDefault();       // transparent background

Number Visualizations

Number Visualizations

Class Description
omdNumberLine Number line with optional dot markers
omdDoubleNumberLine Two parallel number lines
omdBalanceHanger Balance scale with variables and numbers
omdRatioChart Pie, dot, or bar ratio chart
omdSpinner Circular spinner with divisions

Tape Diagrams

Tape Diagrams

Class Description
omdTapeDiagram Part-whole tape diagram
omdDoubleTapeDiagram Two stacked tape diagrams

Graphing & Data

Graphing & Data

Class Description
omdCoordinatePlane 2D graph — plot equations, points, segments
omdTable Data table from an equation or manual data
omdTileEquation Algebra tile equation

Shapes

Shapes

Class Description
omdRectangle Rectangle with dimension labels
omdRectangularPrism 3D rectangular prism
omdRightTriangle Right triangle
omdIsoscelesTriangle Isosceles triangle
omdCircle Circle with optional points and segments
omdEllipse Ellipse
omdAngle Angle diagram with rays and arc markers
omdRegularPolygon Regular polygon (triangle, hexagon, etc.)

Examples

Number Line

import { omdDisplay, omdNumberLine } from '@teachinglab/omd';

const line = new omdNumberLine();
line.loadFromJSON({
    min: 0,
    max: 20,
    increment: 2,
    dotValues: [6, 14],
    title: 'Miles walked',
});

new omdDisplay(document.getElementById('line-container')).load(line);

Coordinate Plane

import { omdCoordinatePlane } from '@teachinglab/omd';

const plane = new omdCoordinatePlane();
plane.loadFromJSON({
    xMin: -10, xMax: 10,
    yMin: -10, yMax: 10,
    graphEquations: [
        { equation: 'y = x^2 - 4', color: '#e11d48' },
        { equation: 'y = 2*x + 1', color: '#0f766e' },
    ],
    dotValues: [[2, 0, '#e11d48']],
});

Balance Hanger

import { omdBalanceHanger } from '@teachinglab/omd';

const hanger = new omdBalanceHanger();
hanger.loadFromJSON({
    leftValues: ['x', 'x', '3'],
    rightValues: ['9'],
});

Rectangle with Labels

import { omdRectangle } from '@teachinglab/omd';

const rect = new omdRectangle();
rect.loadFromJSON({
    width: 8,
    height: 5,
    unitScale: 40,
    showLabels: true,
    centerLabel: '40 sq ft',
});

Equation Work

import { omdEquationWork } from '@teachinglab/omd';

const work = new omdEquationWork();
work.loadFromJSON({
    rows: [
        { kind: 'equation', left: '2x + 3', right: '11' },
        { kind: 'operation', left: '-3', right: '-3' },
        { kind: 'line' },
        { kind: 'equation', left: '2x', right: '8' },
        { kind: 'operation', left: '÷2', right: '÷2' },
        { kind: 'line' },
        { kind: 'equation', left: 'x', right: '4' },
    ],
});

Factory Function

All components can be created from a JSON object using createFromJSON. The JSON structure is flat — the same object you pass to the factory is what loadFromJSON expects on each class directly.

import { createFromJSON } from '@teachinglab/omd';

// All fields are at the top level alongside omdType
const visual = createFromJSON({
    omdType: 'numberLine',
    min: 0,
    max: 10,
    dotValues: [3, 7],
});

// This is equivalent to:
const line = new omdNumberLine();
line.loadFromJSON({ omdType: 'numberLine', min: 0, max: 10, dotValues: [3, 7] });

// Or render directly via omdDisplay.loadFromJSON — one line:
display.loadFromJSON({ omdType: 'numberLine', min: 0, max: 10, dotValues: [3, 7] });

Documentation

Dependencies

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