Sketch the Derivative (Warm Up)

This interactive warm-up activity asks students to sketch the graph of the derivative of a given function f based on its visual appearance, with immediate feedback provided. The core mathematical concept is the geometric interpretation of the derivative: the value of the derivative at a point equals the slope of the tangent line to the original function at that point. Thus, intervals where f increases correspond to positive derivative values, intervals where f decreases correspond to negative values, and local extrema of f align with zeros of the derivative. The construction uses GeoGebra objects f (the original function), g (the derivative function), and a variable a likely used for feedback or dynamic adjustment. Students can draw or manipulate a curve, and the system checks its match with the true derivative graph. This resource is suitable for high school or introductory college calculus students, helping them build intuition about the relationship between a function and its derivative, and can be used as a classroom warm-up or self-assessment exercise.