Activity Set 11.1 Locating Sets of Points in the Plane
Many geometric figures are described or defined as sets of points in a plane with certain conditions placed on them. Students will locate points on paper under specified conditions to discover perpendicular bisectors, angle bisectors, circles, and other surprising figures. Just for Fun: Line Designs
Activity Set 11.2 Drawing Escher-type Tessellations
Escher type drawings are constructed by altering polygons that tessellate. Altering the sides of various polygons will produce translation tessellations, rotation tessellations, and glide-reflection tessellations. These tessellations become "Escher-type" when artistic details and color are added to the basic design. Just for Fun: Paper Puzzles—Paper Strip Cube, Folding Numbers in Order and
Activity Set 11.3 Devices for Indirect Measurement
In this activity students will devise methods and simple instruments for measuring distances based on knowledge of similar triangles. Simple sighting techniques are illustrated and devices like the clinometer, hypsometer, and transit are constructed to measure distances and heights. Just for Fun: Enlarging Drawings
If you have ever formed an Escher-type tessellation by tracing figures on paper or at a window, you will be amazed at the power of this interactive. You will be pleasantly surprised at how quickly figures and tessellations can be created.
