Quadratic Equations

This topic explores quadratic equations, which are polynomial equations of degree two. Students will learn various methods to solve quadratic equations including factoring, completing the square, and using the quadratic formula. They will also understand the graphical representation of quadratic functions, roots of equations, and how to apply quadratic equations to solve practical problems involving areas, motion, and optimization.

Learning Outcomes:
The learner should be able to:

• Identify and write quadratic equations in standard form.
• determine the roots of quadratic equations using factorisation, completing the square and the formula.
• form a quadratic equation given its roots.
• make a table of values for a quadratic function and draws the graph.
• link the solutions of a quadratic equation with its graphical representation.
• solve simultaneous equations involving one quadratic equation and a linear equation.
• Apply quadratic equations to solve real-world problems.