Applied Algebra with Interactive Circuits

This self-paced course brings algebra to life through real electronics. Students learn how variables, equations, and inequalities directly shape the behavior of Arduino-powered circuits. Each lesson turns math into motion — LEDs blink in patterns, motors change speed, and sensors respond to environmental data based on algebraic relationships.

Through short video tutorials, guided challenges, and feedback from MTC instructors, learners connect the logic of coding with the structure of mathematics. By the end of the course, they’ll be able to translate equations into functioning code, analyze sensor data, and design their own interactive systems driven by math.

Companion to: ⚙️ Arduino Engineering Lab: Interactive Gadgets & Sensors (Level 2)

By the end of this course, students will:

• Represent sensor input and output using variables and algebraic expressions.
   
• Connect conditional logic (if/else statements) to inequalities.
   
• Use equations to calculate timing, brightness, and motor speed.
   
• Build and test proportional systems that model real-world relationships.
   
• Collect and graph circuit data to identify mathematical patterns and trends.

Level 2: Applied Algebra with Interactive Circuits

Week Math Focus Applied Arduino Connection 

Week 1 – Variables & Expressions Writing and evaluating expressions Control LED brightness and motor speed using variables in code.

Week 2 – Equations in Action Solving one- and two-step equations Apply Ohm’s Law (V = IR) to determine component values.

Week 3 – Inequalities & Logic Solving and graphing inequalities Program if/else conditions that respond to sensor thresholds  (<, >). 

Week 4 – Ratios & Proportions Scaling quantities and comparisons Link sensor input to output brightness or sound proportionally.

Week 5 – Functions & Relationships Creating tables and function graphs Model sensor data as input-output functions and visualize on graphs.

Week 6 – Data Analysis & Integration Interpreting graphs and optimizing designs Analyze data from interactive gadgets to refine final project. 

• Computer (Windows or Mac) with USB port + free Arduino IDE software.
   
• Arduino Official Starter Kit (K000007) or equivalent containing LEDs, resistors, sensors, and a breadboard.
   
• Calculator and graph paper for data analysis.
   
• Internet connection for video lessons and feedback.

MTC instructors are certified math and STEM educators experienced in integrating algebra with coding and engineering design. They help students see how numbers become behavior—translating formulas into real, measurable results through hands-on projects.

This self-paced course is ideal for independent learners with basic Arduino experience (Phase A recommended). Parents may assist with kit ordering and workspace setup. All projects include clear safety instructions and require only standard low-voltage components.

Common Core Math

• CCSS.MATH.CONTENT.6.EE.A.2 — Write, interpret, and use expressions and equations.
   
• CCSS.MATH.CONTENT.7.EE.B.4 — Use variables to represent quantities and construct simple equations and inequalities.
   
• CCSS.MATH.CONTENT.8.F.A.1-3 — Define, evaluate, and compare functions.
   

NGSS / CSTA Connections

• MS-ETS1 — Engineering Design: Apply data to optimize solutions.
   
• 2-CS-02 — Design programs using loops, conditionals, and variables.
   
• 3A-AP-16 — Integrate hardware inputs and outputs into computational artifacts.
   

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(Bring algebra to life by coding circuits that think, react, and shine!)