Learning+About+Shapes+and+Properties

= Online Resources =

**Cube Nets (NCTM)**

**Great visualization challenge!** Shows arrangements of squares. The challenge is to find the 11 arrangements that will fold into a cube.
**Cut Out Nets** Nets of the Platonic solids can be folded one side at a time and the shape rotated freely at any point in three dimensions. Fascinating!

**Cutting Corners (NCTM)** A cutting tool allows any one of three simple shapes to be sliced into parts along any straight line. Shapes can be rearranged, rotated, and flipped.

**Geoboards (NLVM)** The NLVM library has four geoboards. The first measures areas and perimeters. The circular board has pins in a circular arrangement. The isometric board has pins in a triangular arrangement (like isometric dot paper). The coordinate board shows coordinates for each peg when the cursor is on it. It measures the slope and distance between two points joined by a band and then the perimeter and area of banded shapes. **GeoGebra** This is a free downloadable dynamic geometry software that emphasizes geometry and algebra. Like //Geometer’s Sketchpad//, you can construct with points, segments, and lines. **Math Forum** As part of the Math Forum website, this page nicely divides into different sub-categories of elementary geometry. These links can be an excellent resource for students to review earlier geometry concepts, or to use as a reference when just beginning a new concept. **Maze Game (Shodor)** Provides practice with coordinates. The user plots points to guide a robot through a mine field. **Mirror Tool (NCTM)** A nice tool for early investigations of mirror or line symmetry. **Platonic Solids (NLVM)** This applet allows you to display, rotate, and resize different Platonic solids. It also allows you to select vertices, edges, and faces, and observe that the number of vertices minus the number of edges plus the number of faces is always equal to 2 (Euler's formula). **Pythagorean Relationship (NCTM)** This compelling, dynamic proof of the Pythagorean relationship uses the idea that rectangles and parallelograms with the same height and base have the same area. **Shape Tool (NCTM)** Draw, color, paste, slice, rotate, reflect, expand, and contract any shapes that you can create. **Slicing Platonic Solids (NLVM)** Any one of five Platonic solids can be shown in a window that is a plane of intersection with the solid. As the solid is rotated freely, the portion above and below the plane changes. The plane intersection shape is always shown in a second window. this is a virtual version of "Water Slices," Activity 21.37. **Space Blocks (NLVM)** This applet allows the user to create “buildings” made of cubic blocks rather easily. Explore surface area. **Tangrams (NLVM)** These virtual tangrams can be manipulated freely. Plus, there are 14 puzzle shapes to fill in with all 7 tangrams. **Turtle Geometry (NLVM)** This involves the same process used in logo programming and is a little more sophisticated than the than other primary level logo activities. **Visualizing Transformations (NCTM)** This four-part applet provides an excellent exploration of the three rigid-motion transformations including composition of two transformations. **The World of M.C. Escher** A tribute to M.C. Escher’s work, this website provides discussion forums, resources and items for sale.

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