INVESTIGATING THE NATURE OF ROOTS IN A QUADRATIC EQUATIONS

At Beyond Countables, we believe learning mathematics should be an exciting and immersive experience. We ensure students build a strong, lasting understanding by connecting concepts to real-life applications. Our lessons present them with opportunities to investigate and explore the true nature of mathematics, thereby enhancing their curiosity. Through visual tools, learners gain deeper insights. Our environment fosters collaboration and exploration at every step.

Exploring quadratic equations through graphing makes learning engaging and visually appealing. As students plot the curve, they investigate its intersection with the x-axis. By repeating the activity for various curves, they discover the nature of roots. A parabola crossing the x-axis twice shows two real and distinct roots, touching once shows equal real roots, and no intersection means no real roots. This visual, hands-on approach bridges their geometrical and algebraic view and thus sparks a deeper appreciation for the beauty of mathematics.