Students will immerse themselves in researching diverse travel itineraries within Philadelphia through online resources and interviews, observing budget constraints and personal interests to better understand the needs and preferences of their target audience for crafting a trip plan.

Students will analyze data collected during the 'Design Your Dream Day' workshop to define a clear problem statement that reflects specific budget constraints and preferences, laying the foundation for creating a realistic and engaging itinerary for a week-long trip in Philadelphia.

Students will brainstorm and create multiple linear equation models representing various budget-friendly travel itineraries that align with their preferences, collaborating in small groups to present their most innovative solutions.

Students will develop prototype travel itineraries, using linear equations and graphical models to validate budget constraints, and simulate decision-making processes through engaging storytelling presentations within their small groups.

Students will validate their travel itinerary solutions by conducting user tests, refine based on feedback, and present their final 'Philly Adventure' proposal to stakeholders in a dynamic competition showcasing their algebraic reasoning and creative storytelling skills.