Students use geometry to solve a real campus wellness need by designing a calming space for the library or parent center that is welcoming, functional, and safe. They apply area and volume concepts to measured rooms, scaled floor plans, and 3D models while incorporating partner feedback from the librarian, parent liaison, and mental health counselor. Through critique, revision, and a public design pitch gallery, students build mental health outreach awareness and show how math can support community care.
Learning goals
Students will apply area and volume concepts, including circles, sectors, polygons, prisms, cylinders, cones, and spheres, to measure real rooms, create scaled floor plans, and build accurate calming-space models for the library or parent center. They will solve authentic design problems by calculating square footage, planning traffic flow, and revising layouts for safety, accessibility, comfort, and function using feedback from the librarian, parent liaison, and mental health counselor. Students will communicate design choices clearly through labeled plans, oral design pitches, gallery feedback, and brief reflections that explain how math supports mental health outreach spaces. They will also collaborate to make shared decisions, respond to critique, and strengthen confidence in using geometry to address a real community need.
Standards
[California] F1.5 - Develop and explore basic outreach approaches that can be successful in increasing awareness about mental health services.
[California] F5.4 - Construct multiple steps to solve complex problems using real-world scenarios in mental health services.
[California] B5.2 - Understand the measurements of interior spaces and how to determine square footage.
[California] 10.13 - Assess the principles and factors that influence space planning and interior design, including universal access.
[Common Core] CCSS.Math.Content.HSG-MG.A.3 - Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
Competencies
Collaboration - Students co-design projects with peers, exercise shared-decision making, strengthen relational agency, resolve conflict, and assume leadership roles.
Effective Communication - Students practice listening to understand, communicating with empathy, and share their learning through exhibiting, presenting and reflecting on their work.
Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
Content Expertise - Students develop key competencies, skills, and dispositions with ample opportunities to apply knowledge and engage in work that matters to them.
Products
Students create measurement field notes, scaled sketches, and draft floor plans from the library or parent center, then develop a labeled 2D plan and a 3D calming-space model that show seating, storage, movement zones, and safety features. Throughout the project, teams maintain design logs that document calculations for polygons, circles, sectors, prisms, cylinders, cones, and spheres, along with revisions based on peer and partner feedback. By the end, each team produces a final measured floor plan, a scaled model with area and volume labels, and a short oral design pitch for the gallery explaining how the layout supports comfort, function, universal access, and mental health outreach. Staff and community partners can use these products to review feasibility, traffic flow, and welcoming features for possible implementation.
Launch
Begin with a Calming Space Kickoff Quest where student teams tour the library and parent center, take rough measurements, and document stress points, traffic flow, and underused areas with photos or sketches. Then host a Community Calm Walkthrough with the librarian, parent liaison, and a local mental health counselor, who share what makes a space feel safe, welcoming, and functional for different users. Students close the launch by drafting a quick scaled sketch and posting one design question about area, volume, safety, or accessibility that they will investigate during the project.
Exhibition
Host a Design Pitch Gallery in the library or parent center where teams display their scaled calming-space models and labeled floor plans with area and volume calculations for seating, storage, and movement zones. Invite the school librarian, parent liaison, mental health counselor, families, and community partners to circulate, ask questions, and leave feedback using sentence stems focused on safety, comfort, function, and welcome. Each team gives a brief oral walkthrough explaining how their geometric decisions support mental health outreach needs and universal access in the space. Conclude by having partners identify design elements they could realistically adopt, so students see how their work connects to real school and community use.