These example web sketches suggest a wide range of mathematical applications.
Click a preview image to go to the sketch's sample page.
Basic Tools
Basic ruler and compass construction.
Conic Tools
Construct a parabola by specifying its directrix and focus. Construct an ellipse by specifying its two foci and a point on the curve itself.
Regular Polygon Tools
Build a tessellation from equilateral triangles, squares, and hexagons.
Label Tool
Basic use of the Label Tool.
Parallel And Perpendicular
Use the tools to construct a square.
Transformations
Sample tools for point transformations.
Integration
Approximating a Definite Integral by Accumulating Values.
AntiAnti
The blue curve starting at point A is an
approximation of F(x), the antiderivative of f(x). The pink curve starting
at point B is an approximation of the antiderivative of F(x).
Parabolic Function Plot
Just your basic parabola.
3D Parametric Curve
Visualize and interact with a 3D parametric curve.
David's Heart
Enjoy a fun example of a polar function plot.
Set Puzzles
Uuse logical reasoning skills to arrange numbers and circles so that the sum of the numbers in each circle is correct.
Equilateral Triangle
Drag an equilateral triangle construction and explain why it works.
Isosceles Triangle
Drag a triangle’s vertices to make it isosceles.
Centroid = Circumcenter?
Drag different parts of the triangle to move the centroid as close to the circumcenter as possible.
Measure a Picture
Use extensible rulers to measure parts of a photograph.
Where are 0 and 1?
Drag points on an unmarked number line, observing the location of their product to find 0 and 1.
Unit Circle Trigonometry
Drag θ around the unit circle to generate sine and cosine graphs.
Sum of Angles in a Triangle
Observe the sum of the angles in a triangle as you drag it, and see a visual proof of why this is so.
Box Net
Drag L, W, and H of a rectangular prism and see the effects on the net.
Prism Net
Tinker with the view and parameters of a prism and its net.