In this sinusoidal modeling project, students investigate a real-world phenomenon that follows a periodic pattern, such as temperature, tides, daylight hours, or other repeating cycles, and model it using sine or cosine functions. After collecting at least 20 data points, students will create a function that incorporates amplitude, midline, period, and phase shift, then graph their model alongside the data. The project concludes with a written reflection analyzing their process, mathematical decisions, and real-world insights. This project helps students connect trigonometric functions to meaningful, authentic applications while strengthening their modeling and analytical skills.

NOTE: This project is intended for advanced learners and for student choice. Therefore does not include pre-created equations or graph templates. The preview does include a sample project with a desmos graph.