Adventure 1 – Introduction and Measuring the World

Use this intro on your own: story, video, and worksheets that show how area and slope power all of calculus.

🌍 1) Start With the Measure The World Story

First, read Measuring the World by Slices and Sticks. 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.

  • 📖 Read / Listen: “Measuring the World by Slices and Sticks”
  • 🌍 2) Next Do the Interactive Activity and measure the World your self

    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.

    🎥 3) Watch the Video The Essence of Calculus (Chapter 1)

    Next, watch 3Blue1Brown — The Essence of Calculus (Chapter 1)

    ✏️ 4) Worksheets in This Intro (Do These in Order)

    Use this intro on your own: story, video, and worksheets that show how area and slope power all of calculus.

    📈 5) What You Will Discover

    Two ideas power almost all of calculus:
    🧠 Questions to Keep in Mind

    🚀 6) Why This First Adventure is Important

    This Introductory adventure prepares you for motion, velocity, acceleration, exponentials, limits, derivatives, and the DiVA charts. Everything in the Adventures series grows out of these two ideas: area and slope.

    💡 7) If You Get Stuck

    Redraw the picture, re‑shade the region, or re‑estimate a slope. Your best tools are still triangles, rectangles, and your eyes.