_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.


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 builtin
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 PRISMNEO 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) 
StarterUppers 
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 StarterUpper 
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 geoboards This
sketch freely available from multiple
web sources (2 kB) 
ReadytoUse Cartesian Grid 
A Cartesian grid set up
with units and snapped points: another timesaver for students and
teachers (to skip
the multisteps 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 2person 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
straightline 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 halfsquare
rule; also, includes a problem
whereby they manipulate two parallelograms to have different dimensions
but the same area.
Sketch by William Lundy (38 kB) 
HowTo 
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 fairuse doctrines; other sketches are copyright
their respective owners/attribuitants. 