This project aims to immerse students in the practical application of calculus by analyzing their own physical activity data. Through hands-on experiences, students will explore how derivatives and regression analysis can provide insights into the dynamics of movement and predict future trends. The project encourages students to engage with mathematics in a meaningful way, connecting abstract concepts to real-world scenarios, thereby enhancing their understanding and appreciation of the subject.

Students will develop a comprehensive understanding of calculus concepts, specifically derivatives, and their application in analyzing physical activity data. They will learn to calculate average and instantaneous rates of change, and apply regression analysis to predict trends. Through graphing and data visualization, students will enhance their ability to interpret and communicate findings effectively. Additionally, they will cultivate skills in collaboration, problem-solving, and self-assessment, reflecting on the real-world relevance of mathematics in everyday life.

Throughout the project, students will develop a comprehensive multimedia presentation that showcases their analysis of physical activity data using calculus principles. This presentation will include detailed graphs, data visualizations, and photographs that illustrate their understanding of average and instantaneous rates of change. Students will also produce a regression function model based on their data, demonstrating their ability to apply derivatives for predictive analysis. Additionally, students will engage in self-assessment and peer review activities to refine their work and ensure clarity and accuracy in their final product.

Kick off the project with an engaging 'Data Dash' event where students participate in a group physical activity, such as a relay race or a hike, while using Strava to record their data. This shared experience will provide real-world data for analysis and set the stage for the project. Students will have the opportunity to connect physical activities with mathematical concepts, fostering curiosity and enthusiasm for the upcoming tasks.

Host a "Calculus in Motion" showcase where students present their multimedia projects to peers, teachers, and family members. Set up stations where each group can display their graphs, data, and analysis, allowing attendees to interact with the presentations and ask questions. Encourage students to demonstrate their understanding by explaining how derivatives and regression analysis were applied to their physical activity data. Include a Q&A session where students can discuss the insights they gained and the real-world applications of their findings. Conclude with a reflection circle where students share their learning experiences and how the project has changed their view of mathematics.