Introduction
Linear equations are the foundation of algebra and mathematics, representing relationships between two variables. In a linear equation of the form y = mx + c, ‘m’ is the slope, and ‘c’ is the y-intercept. To make this concept visually engaging, we can create a working model using LED lights to show the solution of linear equations, intersections, and the relationship between variables.
Objective
- To demonstrate linear equations visually.
- To help students understand how variables relate to each other.
- To show intersection points for two linear equations using LED lights.
- To make the learning process interactive and engaging.
Materials Required
- LED lights (different colors, e.g., red and green).
- Resistors (appropriate for LEDs).
- 9V battery with connector.
- Switches (to turn on/off LEDs).
- Wires and breadboard (for circuit connections).
- Cardboard or wooden base.
- Markers or graph grid (for plotting).
Video Construction Steps
- Prepare the Base
- Draw a coordinate grid on cardboard. Mark X and Y axes clearly.
- Set Up LED Lines
- Choose one color of LED (e.g., red) for the first equation.
- Place LEDs along the points corresponding to the equation y = m₁x + c₁.
- Connect them in series or parallel with resistors to the switch and battery.
- Set Up Second Equation
- Use another color LED (e.g., green) for the second equation y = m₂x + c₂.
- Place LEDs along the corresponding points on the same grid.
- Connect them separately with a switch to control.
- Intersection Point Demonstration
- At the intersection point of the two equations, both LEDs can light up simultaneously to highlight the solution of the system of linear equations.
- Power Circuit
- Use a 9V battery and switches to light up each equation individually.
- This allows demonstration of one equation at a time or both together to show intersection visually.