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This activity is aligned to NCTM Standards - Grades 6-8: Geometry, Problem Solving, Reasoning and Proof, and Communication and to California Mathematics Standards Grade 7: Measurement and Geometry #1.2 and Mathematical Reasoning #1.1, 3.2, 3.3.
Glencoe's Interactive Mathematics text provides an activity (Units 7-12, p. 4) called Quad Squad.
The activity is kinesthetic. It is designed to develop group interaction and cooperation while working with constructing a large parallelogram, square, rectangle, rhombus and trapezoid using rope held by the participants.
Warm up activity - Using Pattern Blocks:
Setting up the main activity:
Processing the activity:
The main objective of this activity is as a team builder, however, it could also be used as an introduction to working with quadrilaterals including construction, area, perimeter, etc. Here are some interesting resource ideas:
Dr. Math Archives:Three Dimensions:Is a Square a Rhombus?Guess the Quadrilateral - Geometry Problem of the Week, April 18-22, 1994
Animated Crystallographic Polyhedra - Steffen WeberAnimated polyhedra developed from a Java applet by John N. Huffman (ChemRote 1.0). Contents include: Bucky ball; Triacontahedron; Icosahedron; Hexakisoctahedron; Triakisoctahedron; Icositetrahedron; Tetrakishexahedron; Octahedron; Cube; Hexakistetrahedron; Tetrahedron; Deltoiddodecahedron; Diakisdodecahedron; Pentagonal Icositetrahedron; Dodecahedron and Pentagonal, Rhombic, Tetrahedral Pentagonal, and Deltoid Dodecahedrons; Hexagonal and Trigonal Dipyramids; Hexagonal and Tetragonal Trapezohedrons; Tetragonal and Ditrigonal Scalenohedrons; Rhombohedron; Trigonal Trapezohedron; and Tetragonal, Hexagonal, and Trigonal Pyramids.The Isometric (Cubic) Crystal System - John N. HuffmanJava applets which show some of the major forms for the Hexoctahedral Class (symmetry 4/m3bar2/m) of crystals. By rotating the applets, you can examine and identify the symmetry elements and location in each form. Figures include the cube or hexahedron, octahedron, various stages in a progression from cube to octahedron, dodecahedron, and a combination of cube and dodecahedron. You can also find information about the graphics behind these figures, and the public may use this applet free of charge.
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