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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>Geometry Playground — Swift Playgrounds Curriculum</title>
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<meta name="description" content="Geometry Playground is a free six-chapter Swift Playgrounds curriculum that teaches high school geometry through code — coordinate geometry, polygons, angles, and more. For iPad and Mac." />
<meta name="keywords" content="Swift Playgrounds, geometry curriculum, iPad coding, high school math, Integrated Math, IM1, IM2, IM3, Swift programming, coordinate geometry, polygon properties, Apple Education, Daniel Budd" />
<meta name="author" content="Daniel Budd" />
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<link rel="canonical" href="https://dbbudd.github.io/" />
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<meta property="og:site_name" content="Geometry Playground" />
<meta property="og:title" content="Geometry Playground — Swift Playgrounds Curriculum" />
<meta property="og:description" content="A free six-chapter Swift Playgrounds curriculum teaching high school geometry through code. Aligned with Integrated Maths 1. Runs on iPad and Mac." />
<meta property="og:url" content="https://dbbudd.github.io/" />
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<meta name="twitter:creator" content="@DanielBBudd" />
<meta name="twitter:title" content="Geometry Playground — Swift Playgrounds Curriculum" />
<meta name="twitter:description" content="A free six-chapter Swift Playgrounds curriculum teaching high school geometry through code. Aligned with Integrated Maths 1. Runs on iPad and Mac." />
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{ "@type": "CourseInstance", "name": "Chapter II — Shape Properties with Variables", "url": "https://dbbudd.github.io/02.html" },
{ "@type": "CourseInstance", "name": "Chapter III — Polygon Patterns with Loops", "url": "https://dbbudd.github.io/03.html" },
{ "@type": "CourseInstance", "name": "Chapter IV — Sorting Shapes with Conditionals", "url": "https://dbbudd.github.io/04.html" },
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mobile: { enabled: false }
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/* ── Index page base ──────────────────────────────────── */
body { display: block; }
/* ── Topbar overrides for index page ─────────────────── */
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0 48px 96px rgba(0,0,0,0.2),
0 0 0 1px rgba(255,255,255,0.1) inset,
0 1px 0 rgba(255,255,255,0.06) inset;
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border-radius: 28px;
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gap: 12px;
color: #8e8e93;
font-size: 0.82rem;
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/* ── Sections ──────────────────────────────────────────── */
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color: #6e6e73;
line-height: 1.7;
max-width: 580px;
margin-bottom: 48px;
}
/* ── How to Download ───────────────────────────────────── */
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.dl-step code {
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padding: 1px 5px;
border-radius: 4px;
font-size: 0.78rem;
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/* ── Curriculum ────────────────────────────────────────── */
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display: grid;
grid-template-columns: repeat(3, 1fr);
gap: 20px;
margin-bottom: 40px;
}
@media (max-width: 900px) { .ch-grid { grid-template-columns: repeat(2, 1fr); } }
@media (max-width: 580px) { .ch-grid { grid-template-columns: 1fr; } }
.ch-card {
background: #fff;
border: 1px solid #e5e5ea;
border-radius: 16px;
overflow: hidden;
text-decoration: none;
color: inherit;
transition: transform 0.15s, box-shadow 0.15s;
display: flex;
flex-direction: column;
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transform: translateY(-3px);
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background: linear-gradient(135deg, #eef0f5 0%, #dde1ed 100%);
display: flex;
align-items: center;
justify-content: center;
color: #c7c7cc;
font-size: 0.75rem;
font-weight: 600;
letter-spacing: 0.06em;
text-transform: uppercase;
}
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padding: 20px;
display: flex;
flex-direction: column;
flex: 1;
}
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font-size: 0.7rem;
font-weight: 700;
letter-spacing: 0.08em;
color: var(--brand-navy);
text-transform: uppercase;
margin-bottom: 6px;
}
.ch-card h3 {
font-size: 1rem;
font-weight: 700;
color: #1d1d1f;
margin-bottom: 8px;
}
.ch-card p {
font-size: 0.83rem;
color: #6e6e73;
line-height: 1.6;
flex: 1;
margin-bottom: 14px;
}
.ch-card-meta {
font-size: 0.74rem;
color: #aeaeb2;
display: flex;
gap: 10px;
flex-wrap: wrap;
}
.math-callout {
background: rgba(31,69,127,0.06);
border-left: 4px solid var(--brand-navy);
border-radius: 0 12px 12px 0;
padding: 20px 24px;
max-width: 680px;
}
.math-callout h4 {
font-size: 0.875rem;
font-weight: 700;
color: var(--brand-navy);
margin-bottom: 6px;
}
.math-callout p {
font-size: 0.84rem;
color: #3a3a3c;
line-height: 1.65;
}
/* ── Integrated Math ──────────────────────────────────── */
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display: grid;
grid-template-columns: 1fr 1fr;
gap: 32px;
margin-bottom: 56px;
}
@media (max-width: 680px) { .im-intro { grid-template-columns: 1fr; } }
.im-intro p { font-size: 0.92rem; color: #3a3a3c; line-height: 1.8; margin: 0; }
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gap: 8px;
margin-top: 16px;
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background: rgba(31,69,127,0.08);
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font-weight: 700;
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letter-spacing: 0.03em;
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color: rgba(255,255,255,0.9);
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/* ── About the Developer ───────────────────────────────── */
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/* ── Footer ────────────────────────────────────────────── */
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/* ── Responsive ────────────────────────────────────────── */
/* ── IM progression cards ──────────────────────────────── */
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margin: 32px 0 40px;
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.index-section { padding: 64px 6vw; }
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.dev-headshot { width: 88px; height: 88px; }
}
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<span>◆</span>Geometry Playground
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<a href="01.html"><span class="dd-num">I</span> Coordinate Geometry</a>
<a href="02.html"><span class="dd-num">II</span> Shape Properties</a>
<a href="03.html"><span class="dd-num">III</span> Polygon Patterns</a>
<a href="04.html"><span class="dd-num">IV</span> Sorting Shapes</a>
<a href="05.html"><span class="dd-num">V</span> Similarity</a>
<a href="06.html"><span class="dd-num">VI</span> Composite Figures</a>
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HERO
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<div class="hero-eyebrow">◆ Swift Playgrounds Curriculum</div>
<h1>Geometry,<br>through code.</h1>
<p class="hero-sub">A six-chapter curriculum that teaches geometry concepts using Swift — from drawing simple shapes to building a complete suburban scene — with Maths connections throughout.</p>
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HOW TO DOWNLOAD
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<p class="s-eyebrow">Getting started</p>
<h2 class="s-title">How to Get Started</h2>
<p class="s-lead">Getting the playground onto your device takes under a minute. <br />Here's how it works.</p>
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<div class="dl-step-num">1</div>
<h3>Install Swift Playgrounds</h3>
<p>Download <strong>Swift Playgrounds 4</strong> for free from the App Store on iPad or Mac. It's the app you'll use to open and run all the code in this curriculum.</p>
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<p>Press the <strong>Subscribe in Swift Playgrounds</strong> button on this page. It opens a deep link (<code>developer.apple.com/ul/sp0</code>) that registers this feed directly in the app.</p>
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<div class="dl-step-num">3</div>
<h3>Open your library</h3>
<p>The Geometry Playground appears in your <strong>Subscriptions</strong> section inside Swift Playgrounds. Tap it once to download the full playground file.</p>
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<div class="dl-step-num">4</div>
<h3>Stay up to date</h3>
<p>Swift Playgrounds checks the feed periodically. When a new version is published a badge appears — tap once to update. No re-subscribing needed.</p>
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CURRICULUM
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<section class="index-section" id="curriculum">
<p class="s-eyebrow">The curriculum</p>
<h2 class="s-title">Six chapters. One complete picture.</h2>
<p class="s-lead">Each chapter builds on the last — introducing a new programming concept alongside the geometry it makes possible.</p>
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<a href="01.html" class="ch-card">
<img class="ch-card-img" src="images/ch01-hero.png" alt="Coordinate Geometry with Sequences — Chapter I of Geometry Playground">
<div class="ch-card-body">
<div class="ch-card-num">Chapter I of VI</div>
<h3>Coordinate Geometry with Sequences</h3>
<p>Meet the Pen API. Draw squares, rectangles, triangles, and stars one command at a time — laying down sequences of lines and turns to build geometric intuition.</p>
<div class="ch-card-meta">
<span>10 sections</span><span>2 tutorials</span><span>8 exercises</span>
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<img class="ch-card-img" src="images/ch02-hero.png" alt="Shape Properties with Variables — Chapter II">
<div class="ch-card-body">
<div class="ch-card-num">Chapter II of VI</div>
<h3>Shape Properties with Variables</h3>
<p>Store side lengths, colours, and coordinates in <code>var</code> and <code>let</code>, then reuse them to build diamonds, crosses, snowflakes, and rhombuses while exploring symmetry and shape properties.</p>
<div class="ch-card-meta">
<span>21 sections</span><span>3 tutorials</span><span>18 exercises</span>
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<img class="ch-card-img" src="images/ch03-hero.png" alt="Polygon Patterns with Loops — Chapter III">
<div class="ch-card-body">
<div class="ch-card-num">Chapter III of VI</div>
<h3>Polygon Patterns with Loops</h3>
<p>Harness the <code>for</code> loop to draw regular polygons, spirals, and stars. Derive the interior-angle formula from nothing but a few lines of Swift.</p>
<div class="ch-card-meta">
<span>9 sections</span><span>1 tutorial</span><span>8 exercises</span>
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<img class="ch-card-img" src="images/ch04-hero.png" alt="Sorting Shapes with Conditionals — Chapter IV">
<div class="ch-card-body">
<div class="ch-card-num">Chapter IV of VI</div>
<h3>Sorting Shapes with Conditionals</h3>
<p>Use <code>if</code>, <code>else</code>, and Boolean logic to sort triangles, quadrilaterals, and angles by their properties. Meet <code>Input()</code> for live, interactive testing.</p>
<div class="ch-card-meta">
<span>9 sections</span><span>2 tutorials</span><span>7 exercises</span>
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</div>
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<img class="ch-card-img" src="images/ch05-hero.png" alt="Similarity with Functions — Chapter V">
<div class="ch-card-body">
<div class="ch-card-num">Chapter V of VI</div>
<h3>Similarity with Functions</h3>
<p>Define reusable <code>func</code>tions with parameters, then call them at different scales to draw flags from around the world — exactly what similarity in geometry means.</p>
<div class="ch-card-meta">
<span>21 sections</span><span>2 tutorials</span><span>19 exercises</span>
</div>
</div>
</a>
<a href="06.html" class="ch-card">
<img class="ch-card-img" src="images/ch06-hero.png" alt="Composite Figures in Action — Chapter VI">
<div class="ch-card-body">
<div class="ch-card-num">Chapter VI of VI</div>
<h3>Composite Figures in Action</h3>
<p>Bring everything together. Combine functions, loops, and conditionals to build a house, a tree, a fence, a car — then compose them into a complete suburban scene.</p>
<div class="ch-card-meta">
<span>10 sections</span><span>1 tutorial</span><span>9 exercises</span>
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</section>
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INTEGRATED MATH
══════════════════════════════════════════════════════════ -->
<section class="index-section alt" id="integrated-math" style="display:none;">
<p class="s-eyebrow">Standards alignment · IM1 · IM2 · IM3</p>
<h2 class="s-title">Integrated Maths</h2>
<div class="im-intro">
<p>The Integrated Maths sequence is a three-part high school mathematics programme that weaves algebra, geometry, and statistics into a unified curriculum — rather than treating them as separate subjects. Each course builds on the last, progressing from visual geometric reasoning through proportional thinking to analytic and algebraic geometry.</p>
<div>
<p>Geometry Playground is designed to sit alongside IM1, giving students a hands-on coding context for the geometric concepts they are studying in class. Because the curriculum emphasises reasoning and abstraction, it also lays the conceptual foundations that students will formalise in IM2 and IM3.</p>
<div class="im-badge-row">
<span class="im-badge">Coordinate Geometry</span>
<span class="im-badge">Polygon Properties</span>
<span class="im-badge">Angle Relationships</span>
<span class="im-badge">Shape Classification</span>
<span class="im-badge">Functions & Abstraction</span>
<span class="im-badge">Composite Figures</span>
</div>
</div>
</div>
<!-- ── Three-course progression ── -->
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<div class="im-prog-card im1-card">
<div class="im-prog-label">IM 1</div>
<h4>Geometric Structure</h4>
<p>Visual reasoning, transformations, congruence, and foundational measurement. <em>Primary alignment for Geometry Playground.</em></p>