Project Outline: 3D Paper Model

This is the project idea we created (Sunny & Sukie).  We want to focus on the math topic of surface areas, volume and nets of prisms to engage students in designing a template to form a 3D paper model.  We researched our idea from academic papers, websites, and videos (annotated bibliography is attached as a Google Doc).  We wish to try the idea by ourselves first and introduce it to the class --- and of course, if you are willing to join this 3D paper model design challenge, feel free to let us know!  We are happy to hear from you! 

**Complete project outline with annotated bibliography is attached as a Google Doc: Link to complete outline

Contributors: Sunny Hu & Sukie Liu 

Name of the math project: 3D Paper Model: From Nets to Spatial Structures

Grade level: 8 – 10 mathematics, Richmond School District 

Project Idea:

In this project, students will design and draw a 2D template composed of multiple geometric shapes that can be assembled into a 3D paper model of their choice, such as an animal, fruit, or vehicle. Through the process of planning, measuring, and constructing their designs, students will apply their understanding of nets of prisms, surface area, and volume to combine different geometric forms into a coherent structure. The transformation from a flat template to a completed 3D model emphasizes spatial reasoning and embodied learning, as students physically fold, assemble, and refine their designs. By integrating mathematical accuracy with creative choice, this activity positions mathematics as both a problem-solving tool and a medium for artistic expression. 

 

Examples of final product

(source: https://www.polypapercraft.com/products/fox-low-poly-papercraft-kit)

Mathematical topics:

-       Nets of 3D shapes and transformations from 2D to 3D 

-       Surface area and volume 

-       Geometric solids (prisms and related polyhedral)

-       Spatial reasoning and visualization

-       Mathematical communication through design and construction

Embodied and arts-based pedagogical approaches:

-       Students design, cut, fold, and assemble 3D paper models to physically experience mathematical structures 

-  Using origami-inspired techniques, students fold and form-making to emphasize precision, symmetry, and geometric relationships 

-       Learning through touch and manipulation of materials support conceptual understanding

-       Combining mathematics, visual design, and craftsmanship encourage creativity