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<a href="index.html"><button>🧭 Hub</button></a>
<a href="adventure_1_activity_1_Student.html"><button>🌍 Measure the World</button></a>
<a href="adventure_1_activity_2_Student.html""><button>✏️ Activity</button></a>
<a href="adventure_1_story.html"><button>📖 Story</button></a>
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<h1>✨ Adventure 1 — Introduction and Measuring the World ✨</h1>
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Use this intro on your own: story, video, and worksheets that show how area and slope power all of calculus.
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<h2>🌍 1. Start With the Story & Interactive</h2>
<p>
First, read <strong><em>Measuring the World by Slices and Sticks</em></strong>. Think about how a tiny
shadow angle could reveal the size of the whole Earth. Eratosthenes used one slice of sunlight to
understand the planet.
</p>
<p>Then open the interactive activity:</p>
<ul>
<li>🌍 <strong><a href="adventure_1_activity_1_Student.html">Measure the World — Adventure</a></strong></li>
<li>📖 <strong><a href="adventure_1_story.html">Read / Listen: “Measuring the World by Slices and Sticks”</a></strong></li>
</ul>
<p>
In this activity you use a small angle and a known distance to estimate Earth’s circumference. You are
doing with shadows and circles what we will later do with areas and slopes: using simple local
information to understand something big.
</p>
<h2>🎥 2. Watch the Entire Video</h2>
<p>
Next, watch <strong><a href="https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr&index=1" target="_blank" rel="noopener"><a href="https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr&index=1" target="_blank" rel="noopener">3Blue1Brown — The Essence of Calculus (Chapter 1)</a></a></strong>
</p>
<h2>✏️ 3. Worksheets in This Intro (Do These in Order)</h2>
<ul>
<li>🧩 <strong><a href="adventure_1_activity_2_Student.html">Open: Activities 1 & 2 — Student Worksheet Page</a></strong></li>
</ul>
<ul>
<li><strong>Worksheet A — Area Under a Line</strong></li>
<li><strong>Worksheet B — Tangent & Slope</strong></li>
</ul>
<h2>📈 4. What You Will Discover</h2>
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Two ideas power almost all of calculus:
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<li><strong>Area = total change</strong></li>
<li><strong>Slope = instantaneous change</strong></li>
</ul>
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<strong>🧠 Questions to Keep in Mind</strong>
<ul>
<li>How does the shaded area grow as x increases?</li>
<li>Why do steeper lines change the growth rate?</li>
<li>What does a tangent line tell you about “right now”?</li>
<li>How is Eratosthenes using a tiny angle to understand something big?</li>
</ul>
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<h2>🚀 5. Why This Intro Matters</h2>
<p>
This Intro prepares you for motion, velocity, acceleration, exponentials, limits, derivatives, and the
DiVA charts. Everything in the Adventures series grows out of these two ideas: <em>area</em> and <em>slope</em>.
</p>
<h2>💡 6. If You Get Stuck</h2>
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Redraw the picture, re‑shade the region, or re‑estimate a slope. Your best tools are still triangles,
rectangles, and your eyes.
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