Solving Quadratics with Absolute Value

Description

This learning resource focuses on solving quadratic equations that involve absolute value expressions. The content begins by defining absolute value as the distance of a number from zero, emphasizing that this distance is always positive. It provides a clear explanation of how to set up two separate equations from a given absolute value problem, illustrated through a worked example where the equation |x² - 3x| = 4 is solved. The resource outlines a step-by-step approach, encouraging students to first create two cases from the absolute value equation, then solve each case individually, and finally combine any solutions. The document includes practice problems, a group challenge, visualization tasks, error analysis, and opportunities for reflection on learning. Key techniques for tackling these types of problems are summarized at the end, emphasizing the importance of isolating expressions, splitting into equations, and verifying solutions.