Students act as city planners to design a small city in which each building’s dimensions match a clear community purpose, such as housing, safety, health, or education. They apply area of bases, surface area, volume, and density to make realistic design choices and explain why each building fits its role. Through feedback from peers and an architect or building designer, they revise their models and communicate their reasoning on a city planning poster for a public Build-a-City Fair.

Students will model a small city by selecting appropriate geometric shapes and calculating each building’s base area, surface area, and volume to match its purpose. They will apply area- and volume-based density ideas to explain how a building’s size supports uses such as housing, health care, education, or public safety. Students will collaborate to critique and revise their designs using peer feedback and input from a building design professional. They will communicate their mathematical reasoning clearly on a city planning poster and during presentations at the preview day and Build-a-City Fair.

Students will create a city planning poster that includes a list of buildings such as a school, hospital, police station, and housing, with each building’s purpose, dimensions, base area, surface area, and volume clearly labeled. Throughout the lesson, they will also produce quick draft sketches, building calculation notes, and brief written reflections explaining how each building’s measurements fit its city role. During peer critique, students will revise their poster using feedback on whether each design realistically matches its purpose. The final product will be presented at the Neighborhood Build-a-City Fair and previewed earlier in a short poster station share-out.

Open with a fast Neighborhood Build-a-City Preview Day: in teams, students examine 3–4 sample building cards (hospital, school, police station, apartment) and decide which dimensions, base area, surface area, and volume best match each building’s purpose. An architect or building designer shares one or two real design constraints, then students use those ideas to sketch one city building and justify why its size fits its job. Teams post their quick draft at a mini poster station, do a short gallery walk, and leave peer feedback on whether the measurements make sense for the building’s role. Close with the essential question and a brief written prediction about how surface area and volume will guide their full city design.

Host a Neighborhood Build-a-City Fair where student teams display their city planning posters at table stations organized like a mini city map. Invite classmates, families, school staff, and a local architect or building designer to visit each station, ask questions, and review how each building’s dimensions, base area, surface area, and volume match its purpose. Have peers and visitors complete short reflection cards explaining which building design was most effective and why it fits the needs of the city. End with a brief gallery walk share-out in which students highlight one design revision they made after peer critique and how it improved the model.