This set of advanced analytic tools from Sketchpad's Samples collection includes calculations for tangents and function sectors, definitions of piecewise functions, and more. (Tools like these were used to construct the author's Icosahedron.) The tools in this kit are designed for drawing dynamic models of convex polyhedra whose faces, edges, and vertices correctly change their appearance depending on their visibility: edges become dashed and faces and vertices vanish when they appear on the back side of the solid as its shape is changed by dragging vertices or by spinning the entire image.
This toolkit contains a template 3D coordinate system you can reuse in other sketches, and tools and instructions for plotting points (given 3D coordinates), segments, and curves. The tools can also be extended to graph functions with restricted domains. This sketch contains tools and instructions for defining and graphing piecewise functions in Sketchpad.
#Download geometry sketchpad pdf
This set of tools and accompanying Instructional Manual (16 page PDF file) add many capabilities of advanced graphing calculators to Sketchpad, including finding roots, plotting tangents, and calculating integrals.
This toolkit showcases several example knots, provides some exercises for the reader, and supplies both a knot grid and the tools for constructing your own knots. Toolkit documents contain collections of related custom tools you may find useful in your own explorations.
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