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Making Geometry Solid for Middle School. ESA 2 Summer Symposium for Educators June 18, 2007 Lincoln HS, SF. What do the NCTM Standards Say?. Analyze characteristics and properties of shapes. Describe spatial relationships using coordinate geometry. Apply transformations.
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Making Geometry Solid for Middle School ESA 2 Summer Symposium for Educators June 18, 2007 Lincoln HS, SF
What do the NCTM Standards Say? • Analyze characteristics and properties of shapes. • Describe spatial relationships using coordinate geometry. • Apply transformations. • Use visualization, spatial reasoning, and geometric modeling to solve problems.
Reasons to Use Motivators • Motivate students—obviously. • Set the stage for learning. • Makes class more fun for students and teachers.
Little Books • Something out of nothing. • Advanced Organizer-Solids in a little book. • Multiple uses.
Visualization • Square on the handout. • Exercise in following directions. • Expand the activity by relating the sizes of various shapes. This also helps you review fractional parts.
Identification of Solids • Build a paper cube • Traditional • Appears empty, not solid, to students • Build a Play-Doh Cube • Definitely solid
Characteristics of a Solid • Faces—paper cube • Vertices-gum drops and toothpicks • Edges—Q-tips
Platonic Solids • Tetrahedron—build with envelope • Cube—build with straws and tape • Octahedron • Icosahedron • Dodecahedron
Resources • Standards Books • SD Mathematics Content Standards • NCTM Principles and Standards • Websites • www.nctm.org • www.sdctm.org