A modest collection of links and sketches for the use of educators and students.

The Geometer's Sketchpad® from Key Curriculum Press® lets you construct figures from simple textbook diagrams to working models, perspective drawings, tessellations, fractals, animated sine waves, and more and can be utilized at all grades and in all mathematics strands. Geometer’s Sketchpad® is a registered trademark or trademark of Key Curriculum Press® in the U.S.A. and/or other countries.

_Links
Dynamic Geometry The "official" on-line resource website for Geometer’s Sketchpad®; from Key Curriculum Press®
The Geometer's Sketchpad Resources A very large collection of sketches and links for grades K-11 by the Hastings and Prince Edward District School Board.
Resources for The Geometer's Sketchpad

A comprehensive collection of resources from the Sketchpad disk, and a wide variety of web resources, compiled by Ross Isenegger from the Near North DSB.

TIPS4RM

A collection of Targeted Implementation and Planning Supports for Revised Mathematics (TIPS4RM), grades 7-10, from the Ontario Ministry of Education

Also available: a collection of Grades 7, 8, 9, and 11 sketches developed 2004 to 2006.

Grade 7 | Grade 8 | Grade 9 | Grade 11

 

_Sketches

Sketches used for presentation at QSLMA, Kingston ON, 2007 November 10
Please note: In order for the link buttons in the presentation sketches to work, all sketches must reside in the same folder.

  • Main presentation (27.1 MB)
  • Sketches referred in this presentation are listed below

Sketches used for presentation at NCTM, Richmond VA, 2007 October 11
Please note: In order for the link buttons in the presentation sketches to work, all sketches must reside in the same folder.

 
Sketches designed to show advantages of the use of technology
Where’d You Get That Pi? Interactively learn how pi is determined; see the power of Sketchpad’s built-in measurement and calculation tools.
Sketch by William Lundy
(1.2 MB)
Marilyn the Measurer Sample showing the usage of digital images combined with Sketchpad’s tools
Sketch by William Lundy
(8.7 MB)
Triangle Angle Sum A simple sketch allowing users to manipulate a triangle to investigate the angle sum conjecture.
Sketch by William Lundy
(3 kB)
Solving Equations by Inspection A multifaceted tutorial in which students learn to use systematic trial to solve equations by inspection.
Sketch authored by PRISM-NEO authors July 2005
(8.7 MB)
Angle Guesser Practice estimating angle sizes
Sketch attributed to Shawn Godin, Ottawa DSB
(27 kB)
Area Model of Multiplication Drag the handles to visualize products from 1 x 1 to 11 x 11
Sketch attributed to Shawn Godin, Ottawa DSB
(10 kB)
Tiling Observe and manipulate tiling created by a glide reflection
Sketch idea attributed to D. Schattschneider, publicly available on many websites; this version obtained from Ontario Ministry of Education website
(17 kB)
Why Use Dynamic Geometry at this Grade Level?
Area of a Triangle Use and manipulate various triangles to develop a conjecture about how a triangle’s area relates to an overlapping rectangle; thus, leading to an understanding of the formula for triangle area.
Sketch by William Lundy (6 kB)
Triangle Area Students are challenged to build “clones” of a given triangle that have different dimensions but the same area as the original.
Sketch by William Lundy (3 kB)
Pickle Puss A student sketch from a family member; an example of personal expression using mathematical tools and processes (10 kB)
Starter-Uppers
Rotated Tessellation Sketch Sketch showing the development of a tessellated design that originated with a constructed equilateral triangle. Based on written directions available at several websites.
Sketch by William Lundy
(2.2 MB)
Student Samples Sketch based on a compilation of actual student work, underscoring the importance of using constructed figures.
Sketch by William Lundy
(41 kB)
Triangle Starter-Upper A constructed equilateral triangle: use this to save time and frustration when assigning a rotated tessellation design to students.
Sketch by William Lundy (2 kB)
GSP “Dot Paper” Electronic dot paper; segments snap to the dots in a fashion similar to geo-boards This sketch freely available from multiple web sources (2 kB)
Ready-to-Use Cartesian Grid A Cartesian grid set up with units and snapped points: another time-saver for students and teachers (to skip the multi-steps of setting up their own)
Sketch by William Lundy
(2 kB)
Interactive Exploration Tools
Patterning – Teacher Edition Companion to “Patterning – Student Edition” (below); to be used by teacher as a teaching tool about patterning, and demonstration prior to students working with their own versions.
Sketch by William Lundy
(1.3 MB)
Triangle Types Teaching Tool Use this as a demonstration tool to manipulate vertices and/or sides to show the various types of triangles and their properties.
Sketch by William Lundy (4 kB)
Visualizing Fractions Manipulate the parts of the diagram to learn how many equivalents there are to a given fraction.
Sketch by Nick Jackiw - please contact Nick.
Visualizing Division Uses a grouping model to visualize division of a whole (set) into parts.
Sketch attributed to Shawn Godin, Ottawa DSB
(19 kB)
Fraction Demo Use this sketch in teacher PD to show the progression of student thinking from concepts to developing an algorithm.
Sketch by William Lundy, based on John van de Walle material
(41 kB)
Common Multiples Visualize multiples, common multiples, and LCM.
Sketch by Nick Jackiw - please contact Nick.
Patterning – Student Edition Companion to “Patterning – Student Edition” (above); designed for students to investigate, explore, and save.
Sketch by William Lundy
(1.8 MB)
Pentominoes Learn about the properties and characteristics of pentominoes, then make designs, solve puzzles, and play a 2-person game.
Sketch by William Lundy; pentominoes from a custom tool by Greg Clarke, Simcoe County CDSB (560 kB)
Fraction Circles Visualize, compare, and determine equivalent fractions.
Sketch by Ross Isenegger, Near North DSB
(11 kB)
Base ten Blocks Make designs with the base ten blocks and state the “value” of each design
Sketch by William Lundy; base ten block from a custom tool by Greg Clarke, Simcoe County CDSB
(125 kB)
Patterned Squares Investigate patterned squares, based upon the article "Just Five Does It: Using Five Numbers to Make Patterned Squares" that appeared in Mathematics Teaching in the Middle Schools, Volume 12 No 8, April 2007
Sketch by William Lundy
(55 kB)
Interactive Tutorials
Line Symmetry A simple tutorial about straight-line symmetry
Sketch by William Lundy
(1.3 MB)
Area Schmarea This lengthy tutorial develops the concept of area, and the relationship between a rectangle’s dimensions and its area (but does not delve into the actual A = BH calculation)
Sketch by William Lundy
(4.4 MB)
Parallelogram Area Students investigate the area pf a parallelogram, by counting and using the half-square rule; also, includes a problem whereby they manipulate two parallelograms to have different dimensions but the same area.
Sketch by William Lundy
(38 kB)
How-To
Developers’ Tutorial A details sketch describing text options, use of custom tools, link buttons, hide/show, presentation buttons, movement, sliders, and other topics.
Sketch by Judi Dussiaume (principal author), Rainbow DSB
(3.3 MB)
Uber Sketch A large collection of custom tools ranging from appearance tools and widgets, to Boolean operators.
Sketch by Greg Clarke, Simcoe CDSB
(1.9 MB)
All sketches by William Lundy are governed by Creative Commons copyright and fair-use doctrines; other sketches are copyright their respective owners/attribuitants.

 

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Page last modified 2007-09-20