## Common Core State Standards for Mathematics

Grade(s) 6 resources related to the following standard:
Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

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This interactive Java applet allows users to explore many types of polyhedra including the Platonic and Archimedean solids, as well as prisms and pyramids among other more advanced shapes. The shape can be rotated and viewed as a solid or a frame. Other tabs allow the user to use slider bars to animate cutting, unfolding to form nets, and other modeling options including truncating the shape. A link is also provided for a printable net of the shape. The resource loads on PC's only.
Interactive Media
Grade Level: 3, 4, 5, 6+
This lesson helps students develop spatial visualization skills and geometric understanding by exploring the different nets that can be folded into a cube. The lesson is placed in the context of a young woman who is trying to build a jewelry box. The lesson provides an activity sheet, a link to a helpful applet (Cube Nets, cataloged separately), questions for students and teachers, and ideas for assessment and extensions.
Activity, Interactive Media, Lesson Plans
Grade Level: 3, 4, 5, 6+
This interactive applet helps students develop spatial visualization skills and geometric understanding in both two and three dimensions. From an array of possible nets, students try to select the ones that actually fold to a cube. The applet supports the lesson Building a Box (cataloged separately). An animation that shows one net being folded is included.
Activity, Interactive Media
Grade Level: 3, 4, 5, 6+
This Cyberchase iOS geometry app (\$) enables students to use 2D nets to create 3D shapes. The app includes eight levels which increase in difficulty; increasing the complexity of the nets and combining different 3D shapes together.
Game, Interactive Media, Mobile App
This narrative document describes the progression of Geometry across the K-6 grade band. It is informed both by research on children's cognitive development and by the logical structure of mathematics. The document discusses the most important goals for elementary geometry in three categories, namely, geometric shapes and their categories, composing and decomposing geometric shapes, and spatial relations and spatial structuring.
Reference Materials, Article
Grade Level: K, 1, 2, 3, 4, 5, 6+
Resource is part of a PD collection
Explore geometric solids and their properties with these interactive tools, beginning with an introduction to the faces of basic polyhedra; counting the number of faces, edges, and corners (vertices) in various solids; discovering Euler's Formula; constructing physical models of geometric solids; and identifying which geometric solids can be made from given nets.
Interactive Media, Unit of Instruction
Grade Level: 3, 4, 5, 6+
Resource is part of a PD collection
In this 4-lesson unit, students identify, compare, and analyze attributes of two- and three-dimensional shapes, and develop geometric vocabulary. Students use basic linear measurement, understand and create scale representations, and explore perimeter and area measurement as they design their clubhouses. Activity sheets (pdf), lesson extensions and other commentary are provided.
Activity, Interactive Media, Project, Unit of Instruction
Grade Level: 3, 4, 5, 6+
Resource is part of a PD collection