➗ Applied Geometry & Data Visualization with Circuits

This advanced course connects geometry, measurement, and data analysis to real-world electronics and design. Students explore how geometric reasoning—angles, symmetry, and spatial layout—guides circuit construction and how mathematical data becomes visible through sensors, color, and on-screen dashboards.  

Using the Arduino Uno, learners collect and graph sensor readings, map motion through angles, and visualize changing values on LCDs and RGB lights. By the end of the course, students will transform mathematical concepts into working prototypes that measure, calculate, and display data in real time.

Companion to: 💡 Arduino Inventors Lab: Smart Systems & Displays (Level 3)

By the end of this course, students will:

• Apply geometric concepts such as angles, proportion, and scale to physical circuit design.
   
• Use measurement and coordinate geometry to model sensor and component placement.
   
• Collect, organize, and analyze real sensor data (light, temperature, distance).
   
• Create visual dashboards and graphs to communicate quantitative information.
   
• Interpret data trends to improve design accuracy and efficiency.

Phase C — Level 3: Applied Geometry & Data Visualization with Circuits

Week Math Focus Applied Arduino Connection 

Week 1 – Measurement & Scale Metric / Imperial conversion & precision tools Measure and plan circuit layouts; compare scaled diagrams to real builds.

Week 2 – Angles & Rotation Degrees, radians, and circle fractions Program servo motors to move specific angles; model geometric rotation.

Week 3 – Coordinate Geometry Plotting points and spatial mapping Represent LED and sensor positions using (x, y) coordinates.

Week 4 – Data Collection & Tables Organizing and interpreting data sets Record sensor values (temperature/light) in tables for comparison.

Week 5 – Graphing & Visualization Constructing and reading graphs Display sensor trends on LCD screens or through RGB color changes.

Week 6 – Capstone Integration Geometry + data application Build a “Smart System” prototype that collects and visualizes data in real time. 

• Computer (Windows or Mac) with USB port + Arduino IDE software (free).
   
• Arduino Official Starter Kit (K000007) or equivalent with LCD module, RGB LED, and basic sensors.
   
• Ruler, calculator, and graph paper for manual calculations.
   
• Internet connection for video lessons and teacher feedback.

MTC instructors are certified STEM and mathematics educators with experience in data science and engineering design. They help students connect geometric concepts to coding and circuit layout, building confidence through real-world data visualization projects.

This is a self-paced course for independent learners who have completed Arduino Level 2 or equivalent experience. Parents may assist with kit setup and workspace organization. All activities use low-voltage components and include safety instructions for home learning.

Common Core Math

• CCSS.MATH.CONTENT.7.G.A.1 – Solve scale and measurement problems.
   
• CCSS.MATH.CONTENT.8.G.A.5 – Understand angle relationships and parallel lines.
   
• CCSS.MATH.CONTENT.8.SP.A.1–4 – Analyze and interpret bivariate data.
   

NGSS / CSTA Connections

• MS-ETS1 – Engineering Design: Model and optimize solutions using data.
   
• 3A-AP-16 – Integrate hardware inputs/outputs into computational artifacts.
   
• 3B-AP-21 – Develop programs that visualize and model real-world systems.
   

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(Join Applied Geometry & Data Visualization with Circuits and see math light up your designs!)