Bring Algebra 1 to life with this engaging, real-world performance task! Understanding Drone Flight bridges the gap between abstract mathematical concepts and practical application by tasking students with analyzing, calculating, and graphing the flight paths of commercial drones used in aerial photography.

This comprehensive, three-part performance task is designed for Algebra 1 or introductory High School Algebra students to demonstrate mastery of core function concepts, average rate of change, and coordinate graphing. It moves students beyond rote memorization into higher-order analysis, making it an excellent tool for formative assessment, a end-of-unit project, or a rigorous review activity.

Part 1: Analyzing a Drone's Flight (Graph Features): Students interpret a provided piecewise linear graph representing a drone test flight. They will identify and contextualize critical features of the function, including vertical intercepts, horizontal intercepts, maximum values, intervals of increase/decrease/constant behavior, and apply formal function notation.

Part 2: Calculating the Rate of Change (Contextual Math): Using a new flight scenario, students calculate the average rate of change across different phases of flight (climb, hover, photography descent, and landing). They must apply appropriate units (meters per second), interpret the physical meaning of positive and negative rates, and critically compare the speeds of different phases.

Part 3: Modeling & Interpreting a New Flight Scenario: Students are given a detailed text profile of a longer drone mission. They must apply their knowledge to sketch a complete graph from scratch, label axes and critical coordinates, estimate rates of change, compare physical behaviors, and translate real-world benchmarks into formal function notation statements.