Sketchpad 4 Summit

Kingston, Ontario

May 14-15

Sketches for the grades 5-8 group (led by Judy and Nathalie)
Unless otherwise noted, these sketches require Sketchpad 4.0 or later. Many of these documents contain multiple pages, in which case the previews show only one of the pages. These files remain the property of their respective authors. While you may use them in your classrooms, please contact their authors directly for permission to duplicate or disseminate.

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Sketch: Grouping.gsp

Accompanying Documents: A preliminary activity that introduces some Sketchpad basics as well as the idea of grouping: Grouping_Points.doc (for teachers); Grouping_Students.doc (worksheet for students); use Grouping_Teachers.doc for guidance on how to use the Grouping.gsp file with students.

Authors: Nick Jackiw and Nathalie Sinclair
Sketch: Pictures.gsp

(Geometry)

Author: Judy Dussiaume
Sketch: sorting.gsp

(Number sense and operations)

Author: Nathalie Sinclair
Sketch: Candle.gsp

(Geometry)

Author: Judy Dussiaume (adapted from Michael Battista's ShapeMakers)
Sketch: JumpAlong.gsp

(Number Sense and operations)

Accompanying documents: JumpAlong_Teachers.doc

Author: Nathalie Sinclair
Sketch: GhostPaths.gsp

(Geometry)

Accompanying documents: GhostPaths_Teachers.doc

Author: Judy Dussiaume

Sketch: CirclesAndSquares.gsp

(Number sense and operations; logical reasoning)

Accompanying documents: CirclesAndSquares_Teachers.doc

Author: Daniel Scher
Sketch: ShaperGame.gsp

(Geometry)

Author: Judy Dussiaume (adapted from Michael Battista's ShapeMakers)
Sketch:ConstructMenu.gsp

(Tour of Sketchpad's construct menu; geometry)

Author: Nathalie Sinclair
Sketch: MysteryShapes.gsp

(Geometry)

Author: Judy Dussiaume
Some problems we looked at:
Sketch: Balance.gsp

(Number sense and operations; logical reasoning)

Accompanying documents: Balance_Teachers.doc

Author: Daniel Scher
Sketch: TurningSquares.gsp

(Geometry; graphing; optimisation)

Author: Nathalie Sinclair
The mirror problem Suppose a mirror was to be placed flat on a wall that is perpendicular to the floor. What is the shortest mirror a 6 foot tall person could use so as to be able to see an image in the mirror from the top of the head to the toes? Assume the person is standing 5 feet from the mirror.
Tesselations 1. Construct an equilateral triangle and create a tesselation using any combination of transformations you want. Make sure you drag to verify that your triangles are "sticking" together! 2. Draw an arbitrary triangle. Can you find a way to create a tesselation using any combination of transformations?
Carpet Problem : What can you say about the shape created in the middle of the square? What relationships can you find between the original square and the shape in the middle?