Students will launch the prom proposal challenge by analyzing authentic event-planning constraints from a community center coordinator, then translate those ideas into an initial team design brief with measurable criteria, early cost and capacity questions, and a first set of mathematical planning decisions.

Students will research realistic prom costs, translate stakeholder needs into measurable criteria and constraints, write and test linear equations and inequalities for budget and capacity, and assemble a design brief with an initial feasible plan for their team proposal.

Students will compare multiple prom plan concepts against measurable criteria, use systems of inequalities and feasible-region reasoning to choose a viable option, and begin assembling the shared proposal folder with individual math evidence. They will justify trade-offs with quantitative data, exchange structured peer feedback, and complete a gated checkpoint before moving into testing and revision.

Students will retest their prom proposal models using structured what-if scenarios, document quantitative evidence about feasibility, revise equations and inequalities based on failed cases and stakeholder feedback, and prepare a mathematically justified pitch that explains trade-offs, improvements, and remaining constraints.

Students will present their mathematically justified prom proposals to an authentic audience, defend their decisions with evidence from equations, inequalities, graphs, and constraint checks, and complete a final individual checkpoint that captures their math reasoning, revisions, and growth across the project.