Quadratic Equations

• Covers: This module provides a thorough exploration of quadratic expressions and equations. It begins with techniques for manipulating quadratics, including expanding brackets, various methods of factorizing (simple, complex, and special quadratics), and completing the square. The module then focuses on solving quadratic equations using factorization, completing the square, and the quadratic formula. Finally, it delves into the applications of quadratics, examining the discriminant, the nature of roots, solving quadratic inequations, and applying quadratics to geometry and kinematics problems.

•  Outcomes:  Master the expansion and factorization of various types of quadratic expressions.  Fluently apply the method of completing the square.  Solve quadratic equations efficiently using factorization, completing the square, and the quadratic formula.  Understand and use the discriminant to determine the nature of quadratic roots.  Solve quadratic inequations.  Apply quadratic concepts to solve problems in geometry and kinematics.