Summary
| Subject keyword(s) | Education, Geometry, Mathematics, Polyhedra, Process skills, Solid geometry, Spatial sense, Visualization |
|---|---|
| Grade level | Elementary School, Middle School, Informal Education, Vocational/Professional Development Education |
| Intended audience | Educator, Learner |
| Resource type | Instructional Material |
| Resource format | text, text/html |
| Rights | 2000 - 2009 National Council of Teachers of Mathematics All content found in the Illuminations Web site including text, graphics, logos, button icons, images, audio clips, applets, activities and programs, as well as the collection, arrangement, and assembly of all content on the site is the exclusive property of the National Council of Teachers of Mathematics (NCTM) and is protected by U.S. and international copyright laws. No right, title, or interest in any permissible downloaded materials is transferred to you as a result of any such downloading. NCTM reserves complete title and full intellectual property rights in any content you download from this web site. © 2000 - 2011 National Council of Teachers of Mathematics http://illuminations.nctm.org/termsofuse.aspx |
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Activities | Lessons | Standards | Web Links NCTM Resources | About | Terms of Use | Search | Join NCTM Geometric Solids and Their Properties Share| Unit Overview Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 In five interactive geometry investigations, students explore geometric solids and their properties. Throughout the unit, students analyze characteristics and properties of three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. Students construct various geometric solids using an interactive tool, and explore and create nets for various geometric solids. Within each lesson, students use visualization, spatial reasoning, and geometric modeling to solve problems. Individual Lessons Lesson 1 - Getting to Know the SolidsStudents are introduced to some of the basic polyhedra. Students explore the shapes of the faces of these solids. Lesson 2 - Study the SolidsIn this interactive geometry investigation, students explore geometric solids and their properties. Specifically, students count the number of faces, edges, and corners (vertices) in various solids. Lesson 3 - Looking for Patterns Students discover Euler's Formula, a way of calculating the number of faces, edges, and vertices of geometric solids. Lesson 4 - Construct a Solid Students construct physical models of geometric solids. Lesson 5 - Making A Shape Jacket Students identify which geometric solids can be made from given nets. Students also create nets for common geometric solids. NCTM Resources Navigating through Geometry in Grades 3‑5 More and Better Mathematics for All Students © 2000 National Council of Teachers of Mathematics Use of this Web site constitutes acceptance of the Terms of Use The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and professional development to support teachers in ensuring mathematics learning of the highest quality for all students. The views expressed or implied, unless otherwise noted, should not be interpreted as official positions of the Council.