Students will launch the investigation by testing mystery containers and solid models, generating early evidence about volume and surface-area efficiency, and framing questions for the architecture design challenge.

Students will refine an investigable geometry question, test and compare methods for measuring and calculating solids, build a documentation-ready plan for volume and surface-area analysis, and revise their approach through peer critique before a competency checkpoint.

Students will present and defend their final solid-design solution to classmates and an architecture audience, respond to questions about volume, surface area, unit-rate efficiency, and tradeoffs, gather feedback on fit and material use, and close with a brief reflection on mathematical reasoning and teamwork.