Assess students' ability to model and solve real-world problems using quadratic equations: analyze projectile motion (formulate height as a quadratic in time, find time of flight, maximum height, and horizontal range using vertex form or the quadratic formula, and interpret roots and units) and solve area-optimization tasks (express area as a quadratic under given constraints, determine dimensions that maximize area using vertex/completing-the-square, and justify assumptions). Problems require algebraic solution, interpretation of results, and clear explanation of reasoning.