Pre-made 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 Sketch | PC | Mac |

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 paper | graphpaper.gsp | graphpaper.gsp.hqx |

Sketch of polar graph paper | polargraph.gsp | polargraph.gsp.hqx |

Grades 6-8

Description of Sketch | PC | Mac |

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 Sketch | PC | Mac |

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.gsp | ptriangle.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.gsp | sample.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.gsp | cooltri.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 Sketch | PC | Mac |

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 Sketch | PC | Mac |

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 Sketch | PC |

Intro to Sketchpad | Tour 2 |

Exploring the parallelogram | Parallelogram |

Exploring the trapezoid | Trapezoid |

Exploring rotation and reflection symmetry | Symmetry exploration 5 |

Exploring rotation and reflection symmetry | Symmetry exploration 6 |

Introduction to animation | Animation Tour |

Animation and basketball | Shooting a basket |