A five-question structured worksheet on real-world applications of quadratic models: concert revenue, solar-farm output, drone altitude, tidal data and a ski-jump trajectory. Students complete the square, read vertex form, solve for roots, and evaluate model limitations. Full worked solutions included.
Vertex-form revenue model — interpret a sensible price and find a price for a revenue target; a cumulative energy model — evaluate and identify a model limitation.
Projectile-style model — complete the square for maximum height and time to ground; compare two polynomial models against a data table and justify the better fit.
Build a quadratic from geometric constraints (maximum height and landing point) and find the horizontal distance at a given height.
Editable .tex for adapting this resource.