This project involves 10th-grade students in an active exploration of geometric modeling with an emphasis on practical problem-solving. Students will master volume and surface area concepts by designing eco-friendly structures, employing both hands-on model construction and mathematical formulas. Through this process, students will link geometric principles to real-world objects, examining how geometry can transform the functionality and appeal of everyday items.

Students will explore and apply geometric modeling by designing and building scale models of eco-friendly buildings, using recycled materials and geometric principles to understand real-world applications of geometry. They will collaborate to calculate the volume and surface area of various solids, employing geometric formulas and problem-solving skills to iterate and improve their designs. Through reflection and documentation of their process, students will enhance their ability to communicate mathematical reasoning, ultimately gaining an ability to rethink everyday objects for improved functionality or aesthetics.

During this project, students will collaboratively produce a series of 3D eco-friendly building models that incorporate geometric shapes and volume calculations. By the end, they will compile a digital portfolio that includes photos, sketches, and reflections on their design process and problem-solving experiences, emphasizing how modeling can rethink objects for improved functionality or aesthetics. These portfolios will be presented to peers to highlight their creative and analytical approaches to addressing real-world challenges through geometric modeling.

Kick off with an 'Eco Habitats Expo' where students present their miniature eco-friendly building models, showcasing how geometric principles and volume calculations were used in their designs to rethink everyday buildings. Each group will explain the reasoning behind the shapes chosen for their building, how they calculated the volume for efficient use of space, and the materials they opted for sustainability. The expo will allow students to interact, evaluate each other's work, and ask questions that delve into the mathematical and design processes involved.

Students will host a "Geo-Expo" where they showcase their eco-friendly building models and insights from the 'Shape Hunt' challenge. Each group will present their design sketches, models made from recycled materials, and reflections on geometric principles they applied. They’ll display calculations of volume and surface area on visual boards, illustrating their quantitative reasoning. Family and community members can engage with students as they share their design processes, the technologies used, and the solutions they devised.