Interactive STEAM Classroom Lab: Solar Trigonometry, 3D Geology & Clean Energy

Transforming Abstract Math into Real-World Exploration

When students learn trigonometry or physics from a textbook, formulas like $\tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}}$ can feel detached from reality.

By framing these concepts around an actual nature journey—measuring shadows across seasons, scouting bluffs in Google Earth, and solving the route logistics of a field trip with smart algorithms—students see firsthand how science and mathematics shape the world around them.

This open-source STEAM Lab requires zero software installation and runs entirely within Google Colab on any school Chromebook, tablet, or home laptop.

🔬 The 4 Hands-On Student Lab Modules

┌─────────────────────────────────────────────────────────────┐
│                 INTERACTIVE STUDENT MODULES                 │
├──────────────────────────────┬──────────────────────────────┤
│ ☀️ 1. Solar Physics & Trig   │ Sun altitude & shadow math   │
│ 🌋 2. 3D Landscape Scouting  │ Google Earth photogrammetry  │
│ 🚌 3. The On-Time Bus Route  │ Smooth return before bell    │
│ 🌱 4. Clean Energy Economics │ Diesel vs. EV Bus emissions  │
└──────────────────────────────┴──────────────────────────────┘

Module 1: Solar Altitude & Shadow Length (Trigonometry in Action)

Students use an interactive slider in Colab to simulate how the sun’s position changes throughout the day:

$\text{Shadow Length} = \frac{\text{Student Height}}{\tan(\theta)}$

• Classroom & Backyard Experiment: Students measure a friend’s shadow on the playground or sidewalk at 09:00 AM, 12:00 PM, and 02:00 PM, then compare their physical tape-measure observations against the Python model output!

Module 2: Virtual 3D Scouting in Google Earth

Students become geological cartographers:

• Exporting 3D GPS waypoint placemarks (KML) for iconic landscapes like Mount Hood and Crater Lake Caldera.
• Using Google Earth’s Sunlight Slider to simulate horizon light occlusion and identify why alpine peaks catch morning alpenglow before valleys.

Module 3: The On-Time Bus Route Puzzle

Students explore the friendly math behind the Traveling Salesperson Problem with Time Windows (VRPTW):

• The Mission: Connect 3 science destinations (Planetarium, Hydroelectric Dam, Old-Growth Forest).
• The Goal: Return smoothly to school or home base with a built-in 30-minute cushion before dismissal, eliminating rush and traffic stress.
• The Solution: Students execute Google’s open-source OR-Tools solver and observe how friendly computer algorithms find the most relaxed, fuel-efficient sequence.

Module 4: Clean Energy & Electric Bus Economics

Students calculate the real-world carbon footprint of their field trip:

• Diesel Bus: $\text{Gallons} = \frac{\text{Miles}}{7.5\text{ MPG}}$, producing $22.4\text{ lbs of }\text{CO}_2/\text{gallon}$.
• Electric School Bus (EV): $0.0\text{ lbs tailpipe emissions}$, saving over $40.00 in fuel per trip.

🧑‍🏫 Teacher Facilitator Resources

Teachers can access full Next Generation Science Standards (NGSS) alignments, classroom discussion prompt keys, and printable student worksheets in our open-source educator guide:

• Teacher Curriculum & NGSS Standards Guide
• Interactive Google Colab Lab Notebook
• Full Open Source Android App Repository