Pre-made Sketches
These sketches can be used as demonstration sketches (for example, showing that the angles of a triangle sum to 180 degrees) or they can be downloaded by students for their own investigations. Many sketches correspond to well-known problems such as the Ladder problem and the Shadow problem. Special thanks to Christopher George who contributed many of these sketches
Jump to: Utility sketches | Grades 6-8 | Grades 9-10 | Grades 11-12 | Calculus
Tips on making sketches
Go to how to plot an equation using Sketchpad to learn how you can plot linear and non-linear equations, as well as trigonometric and exponential ones too!

Utility sketches
Description of SketchPCMac
POSTERS to put up in your classrooms: the toolbox, construction help, measure help, calculation tips, table tips, printing tips, how to construct a square/rectangle/different types of triangles. Contributed by Judy Dussiaume. GSPosters.pdf
Sketch of graph papergraphpaper.gsp graphpaper.gsp.hqx
Sketch of polar graph paperpolargraph.gsp polargraph.gsp.hqx

Grades 6-8
Description of SketchPCMac
A visual proof of the 180 degree triangle sum theorem. sum180.gsp sum180.hqx
Sketch with different shapes: quadrilaterals, triangles, etc. shapes.gsp shapes.gsp.hqx
Sketch showing different types of transformations, not all affine. exotica1.gsp exotica1.gsp.hqx
Making paperdolls using translation paperdolls.gsp paperdolls.gsp.hqx
Sketchpad model of Pool which can be used to investigate reflection properties. pool.gsp pool.gsp.hqx
Dilating shapes dilatePi.gsp dilatePi.gsp.hqx

Grades 9-10
Description of SketchPCMac
You are a scientist who has landed at point P in Triangle Land. You are charged with the task of investigating how the sun near this world behaves. Start your investigation by dragging point P and studying the behavior you witness. triland1.gsp
You are a scientist who has landed at point P in Triangle Land. You are charged with the task of investigating how the sun near this world behaves. Start your investigation by dragging point P and studying the behavior you witness. triland2.gsp
Mystery P. This sketch has a mystery point in a triangle which you can try to identify. Suitable for Grade 9 curriculum. See Stories for a description on how to use this sketch in your classroom. ptriangle.gspptriangle.gsp.hqx
Mystery Q. This sketch has a mystery point in a triangle which you can try to identify. Suitable for Grade 9 curriculum. See Stories for a description on how to use this sketch in your classroom. qtriangle.gsp qtriangle.gsp.hqx
Median triangle. This sketch is an investigation with the medians of triangles and has a surprising result which is used to make a model for a mobile. Suitable for Grade 9 curriculum. sample.gspsample.hqx
Tracing Points. This sketch investigates the location of the special points of the triangle by tracing them for a family of triangle. Suitable for Grade 9 curriculum. cooltri.gspcooltri.hqx
A variation on the Pythagorean theorem--using semi-circles instead of squares pythagoras_circles.gsp pythagoras_circles.gsp.hqx
Another animated version of the Pythagorean theorem that shows unusual configurations of the squares pythagorean_double.gsp pythagorean_double.gsp.hqx
Investigating the relationship between the slope of the sun to the ground and the length of the shadow of a tree. A nice non-linear relationship! SunShadow.gsp SunShadow.gsp.hqx
Investigating the general quadratic equation y = a(x-h)2 + k by manipulating the three parameters. quadratic.gsp quadratic.gsp.hqx
An initial investigation of the trigonometric function using the Ferris Wheel model. FerrisSketch.gsp FerrisSketch.gsp.hqx
The trignometric ratios trig.gsp trig.gsp.hqx

Grades 11-12
Description of SketchPCMac
Sketch of a quadratic function, allowing the user to control a, b and c. Contributed by Peter Thompson. This sketch also makes the circle construction that Peter Harrison describes in his article, to show the roots of the corresponding equation.Quadratic function Quadratic function
Sketch of the calculus definition of the tangent. Contributed by Christopher George who writes "The kids LOVED it." tangent.gsp tangent.gsp.hqx
Sketch of the limit as h goes to zero of the function sin h/h. Contributed by Christopher George: Read classroom notes. sinxoverx.gsp sinxoverx.gsp.hqx
The Farmer's Fence problem: maximizing the area of a rectangular enclosure. FarmersFence.gsp FarmersFence.gsp.hqx
Looking at the relationship between the area and the perimeter of a rectangle. area_rectangle.gsp area_rectangle.gsp.hqx
A dynamic representation of the creation of a cone. conecreation.gsp conecreation.gsp.hqx
Tracing out a parabola using its tangent. parabola_tangential_trace.gsp parabola_tangential_trace.gsp.hqx
Animation of hyperbolas. Hyperbolicanimation.gsp Hyperbolicanimation.gsp.hqx
A double Ferris wheel. Make sure to look at the trace of one of the riders! doubleFerriswheel.gsp doubleFerriswheel.gsp.hqx

Calculus
Description of SketchPCMac
Two sketches looking at the definition of the tangent. defn_tangent.preliminary.gsp and defn_tangent.gsp defn_tangent.preliminary.gsp.hqx and defn_tangent.gsp.hqx
A related rate problem: The Boat and the pedestrian. boat_pedestrian.gsp boat_pedestrian.gsp.hqx
Another related rate problem: The Ball drop. Balldroprelatedrate.gsp and Balldropsolution.gsp Balldroprelatedrate.gsp.hqx and Balldropsolution.gsp.hqx
The falling plagpole problem. fallingflagpole.gsp fallingflagpole.gsp.hqx
The kite problem. kiteproblem.gsp kiteproblem.gsp.hqx
The ladder problem. ladderquestion.gsp ladderquestion.gsp.hqx

Ellensburg workshop
Description of SketchPC
Intro to SketchpadTour 2
Exploring the parallelogramParallelogram
Exploring the trapezoidTrapezoid
Exploring rotation and reflection symmetrySymmetry exploration 5
Exploring rotation and reflection symmetrySymmetry exploration 6
Introduction to animationAnimation Tour
Animation and basketballShooting a basket