This math unit begins by familiarizing students with the basics of the quadratic formula, specifically identifying coefficients \(a\), \(b\), and \(c\) in quadratic equations. Progressing, it explores solving for complex roots using the quadratic formula, deepening the understanding of discriminants' impact on root nature. The unit then transitions into practical applications, starting with translating word problems about geometrical contexts into quadratic expressions and equations. Focus shifts to solving real-world quadratic equation problems concerning the height of objects over time, optimizing variables like time and height, and concluding with maximizing or analyzing real-life economic scenarios like profit and revenue based on changes in production volume or price. Throughout, students incrementally build proficiency in framing, manipulating, and solving quadratic equations in various practical and theoretical contexts, enhancing their analytical and algebraic skills.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.