This project aims to immerse students in a practical application of exponential functions by modeling a savings plan for purchasing a car, bridging mathematical concepts with real-world financial literacy. Through active engagement with a local car dealership and hands-on exercises, students learn to create and analyze mathematical models, fostering a deep understanding of relationships between quantities involved in financial decisions. The project culminates in a dynamic 'Dealership Day' simulation where students showcase their mathematical strategies, demonstrating not only their grasp of the concepts but also their ability to apply them effectively in real-world scenarios.

Students will learn to create and interpret mathematical models in the context of developing a savings plan for purchasing a car, focusing on exponential and linear functions. They will apply these models to real-world scenarios involving interest rates and vehicle depreciation, enhancing their problem-solving skills. Students will develop proficiency in constructing and graphing equations that reflect relationships between quantities, fostering an understanding of financial strategy and planning for future goals. Additionally, students will communicate their findings effectively through infographics and presentations, demonstrating their ability to utilize models for practical decision-making.

During the learning experience, students will design personalized infographics that detail their financial strategies for purchasing their chosen cars. These infographics will be presented during 'Dealership Day,' where students simulate real-world car buying and negotiation scenarios. Additionally, each student will contribute a slide to a class presentation, showcasing how they employed exponential functions in their savings and purchase strategies, integrating visual and textual analyses of their mathematical models.

Kick off the project with a 'Car Comparison Hunt' where students visit a local car dealership to explore various car models, gather information on costs, and discuss financing options directly with a dealership representative. Equipped with this context, students can begin to model real-world scenarios related to car purchases. This hands-on exploration sets a practical foundation for understanding mathematical functions in creating a successful savings plan to purchase a car.

During the 'Dealership Day' simulation, students will role-play as car buyers or dealers, presenting their personalized infographics and pitch their savings strategy and purchase plans. They will use their mathematical models to negotiate terms with dealership representatives and audience members, applying the skills and knowledge they've developed. Families and community partners will observe, ask questions, and provide feedback, turning the event into a celebration of practical learning and real-world application.