Exploring 3D Geometry with SketchUp
STANDARDS:
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.
OVERVIEW:
Using SketchUp Make, students can experiment and create nets for a variety of three-dimensional figures.
After creating the nets, they can use the nets to explore surface area.
CLASSROOM ACTIVITY:
Begin with a concrete activity using rectangular pieces of paper to make cylinders (roll a rectangular piece of paper and tape the edges together). Continue by folding a rectangular paper along a series of parallel lines. Overlap one or more of the sections and create a prism (showing lateral sides). For more information on making the prisms with folded paper see: Prisms and Pyramids: Constructing Three-Dimensional Models to Build Understanding by Beverly A, Koester posted at http://nimsgeometry2010.pbworks.com/f/prismsandpyramids.pdf
Introduce SketchUp Make to the students. Allow them to explore the features of SketchUp Make and figure out how to make different shapes.
Introduce making a net using SketchUp Make. Specific directions are available in the 3DVinci SketchUP Teacher Guide at http://www.3dvinci.net/teacherguide/SketchUpMathProject_6-9.pdf
Once students have had the opportunity to make and print different sizes and varieties of nets, use the nets to explore the idea of surface area.
RESOURCES:
Project Ideas for Using SketchUp while teaching Geometry
Information about downloading SketchUp Make to use in your classroom
Oberdorf, Christine D. and Jennifer Taylor-Cox. “Shape Up!” Teaching Children Mathematics 5 (February 1999): 340-345.
Using Nets to Develop Children's Understanding of 3D Shapes
OVERVIEW:
Using SketchUp Make, students can experiment and create nets for a variety of three-dimensional figures.
After creating the nets, they can use the nets to explore surface area.
CLASSROOM ACTIVITY:
Begin with a concrete activity using rectangular pieces of paper to make cylinders (roll a rectangular piece of paper and tape the edges together). Continue by folding a rectangular paper along a series of parallel lines. Overlap one or more of the sections and create a prism (showing lateral sides). For more information on making the prisms with folded paper see: Prisms and Pyramids: Constructing Three-Dimensional Models to Build Understanding by Beverly A, Koester posted at http://nimsgeometry2010.pbworks.com/f/prismsandpyramids.pdf
Introduce SketchUp Make to the students. Allow them to explore the features of SketchUp Make and figure out how to make different shapes.
Introduce making a net using SketchUp Make. Specific directions are available in the 3DVinci SketchUP Teacher Guide at http://www.3dvinci.net/teacherguide/SketchUpMathProject_6-9.pdf
Once students have had the opportunity to make and print different sizes and varieties of nets, use the nets to explore the idea of surface area.
RESOURCES:
Project Ideas for Using SketchUp while teaching Geometry
Information about downloading SketchUp Make to use in your classroom
Oberdorf, Christine D. and Jennifer Taylor-Cox. “Shape Up!” Teaching Children Mathematics 5 (February 1999): 340-345.
Using Nets to Develop Children's Understanding of 3D Shapes
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