Quadratic Equations
Quadratic equations are a fundamental part of algebra, connecting symbolic manipulation, factorisation, roots, discriminants, and the geometry of parabolas.
The resources collected here introduce quadratic equations step by step, from their standard form and basic types to factoring methods, completing the square, the general formula, and the analysis of the discriminant.
Quadratic Equations – Intro & Solved Exercises
An introductory presentation on quadratic equations.
The material introduces the standard form of a quadratic equation, roots and real solutions, square roots, pure quadratic equations, and a first collection of solved exercises.
Complete Quadratic-Equation Slides
The full presentation adds factoring, completing the square, the general formula and the discriminant, with exercises and solutions.
Quadratic Functions and Vertical Motion
Quadratic structures also appear naturally in physics.
The slides relate the vertex of a quadratic function to the maximum height of a vertically launched ball. They include the model assumptions, a calculated graph and a worked exercise, followed by the range formula for equal launch and landing heights.
Interdisciplinary