Websites with Three-Dimensional Emphasis
Below is a list of a variety of websites devoted to
the topic of three-dimensional geometry.
Illuminations Three Dimensional Geometry and Isometric Drawings
“In this interactive
geometry investigation, students explore polyhedra using different
representations and perspectives for three dimensional block figures. In
addition, students will examine area and volume concepts for block figures
within this context.”
“In this unit, students
explore circles. In the first lesson students apply the concepts of area and
circumference to explore arrangements for soda cans that lead to a more
efficient package. They then experiment with three-dimensional arrangements to
discover the effect of gravity on the arrangement of soda cans in the second
lesson. The final lesson allows students to examine the more advanced mathematical
concept of curvature.”
Illuminations Building Tetrahedral Kites
“Each student
constructs a tetrahedron and describes the linear, area and volume using non‑traditional
units of measure. Four tetrahedra are combined to form a similar tetrahedron
whose linear dimensions are twice the original tetrahedron. The area and volume
relationships between the first and second tetrahedra are explored, and
generalizations for the relationships are developed.”
“This lesson uses a real-world
situation to help develop students' spatial visualization skills and geometric
understanding. Emma, a new employee at a box factory, is supposed to make cube‑shaped
jewelry boxes. Students help Emma determine how many different nets are
possible and then analyze the resulting cubes.”
Illuminations Cubes Everywhere
“In this lesson,
students use cubes to develop spatial thinking and review basic geometric
principles through real-life applications. Students are given the opportunity
to build and take apart structures based on cubes.”
Illuminations Linking Length, Perimeter, Area and Volume
“These lessons are
designed for students to understand ratio, proportion, scale factor, and
similarity using perimeter, area, volume and surface area of various
rectangular shapes.”
Electronic Examples of Standards activities for grades 9 - 12
Illuminations: Explorings Three Dimensional Shapes
“In this interactive
geometry investigation students will explore geometric solids and their
properties.”
InterMath Three Dimensional Geometry Investigations
Illuminations Activity: Which Net Will Form a Cube?
Illuminations Activity: Create Vertex-edge graphs
“This tool can be used
to draw and manipulate vertex-edge graphs.”
Illuminations Activity: Isometric Drawing Tool
“Use this interactive
tool to create dynamic drawings on isometric dot paper. Draw figures using
edges, faces, or cubes. You can shift, rotate, color, decompose, and view
in 2‑D or 3‑D. Start by clicking on the cube along the
left side; then, place cubes on the grid where you would like them.”
Accessories for Symmetry, Shape, and Space by Christine Kinsey and Teresa E. Moore
“You will find
downloadable files that correspond to the Symmetry, Shape, and Space with The
Geometer’s Sketchpad: Student Lab Manual. In addition to viewing individual GSP
and JavaSketchpad files, you can download an archive of the complete collection
of GSP sketches. The files that use JavaSketchpad technology are dynamic and
useful for demonstration purposes right on the Web.”
Geometer’s Sketchpad Resource Center
“The Advanced Sketch
Gallery is a collection of sketches featuring advanced mathematical concepts,
custom tools, and striking visualizations, created by both Sketchpad developers
and Sketchpad users from around the world.”
“This is the EggMath
version 1.5, a collection of web modules (including many interactive applets)
covering different topics in mathematics related to eggs; it is intended for
use in K-12 classrooms, as in the Chickscope
project at the Beckman Institute.”
Site devoted to Crystallography
Site devoted to Activities About Polyhedra