Sample Web Sketch Gallery

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.