Page Contents:

Broad Expectation*  Topic  Link to Applet and Description 
How good for teacher demos (13)? 
How easy for students (13)? 
How good for exploration (13)? 
Available activities 
Understand numbers, ways of representing numbers, relationships among numbers, and number systems  
Understand meanings of operations and how they relate to one another  
Compute fluently and make reasonable estimate  
Broad Expectation*  Topic  Link to Applet and Description

How good for teacher demos
(13)?

How easy for students (13)?

How good for exploration
(13)?

Available activities

Understand patterns, relations, and functions  Slope  Slope Comparison  Manipulate two segments. Slopes shown in decimal and fraction form. Can study parallel and perpendicular lines.  2

3

3

Quickie 
Function (general)  Function Flyer  one of the best applets on the web. Allows user to input function, manipulate x, and manipulate coefficients.  3

3

3


Represent and analyze mathematical situations and structures using algebraic symbols  
Use mathematical models to represent and understand quantitative relationships  
Analyze change in various contexts  
Broad Expectation*  Topic 
Link to Applet and Description 
How good for teacher demos (13)?

How easy for students (13)?

How good for exploration (13)?

Available activities 
Analyze characteristics and properties of two and threedimensional geometric shapes and develop mathematical arguments about geometric relationships  Exterior Angles  The Sum of Exterior Angles of a Polygon  This shows the sum of the exterior angles of any (userdefined) polygon. 
3 
3 
3 

Inscribed and Central angles 
Inscribed
and Central Angles  One inscribed angle and central angle.
Use this first. In both cases, manipulate points on the circle. See the angles. Soccer Problem  Figure out when to shoot. 
3 
3 
3 

Pythagorean Theorem  Pythagorean Theorem (1) (2) and (5)  Visual (geometric) demonstrations of the Pythagorean Theorem. 
3 
3 
3 

Shapes  Geoboard – Use geoboards (virtual rubber bands) to illustrate area, perimeter, and more. 
3 
3 
3 
built in 

Congruent Triangles  Congruent Triangles – Build triangles by combining sides and angles. 
3 
3 
3 
built in 

Tessellations  Polygons
Around a Point  Use regular polygons to surround a point in
a plane. See if it tessellates. 
3 
3 
3 
Polygons Around a Point  
Similarity  Similar Triangles  Drag any orange dot at either triangle's vertex. Both triangles will change shape and remain similar to each other.  3 
3 
1 

Specify locations and describe spatial relationships using coordinate geometry and other representational systems  
Apply transformations and use symmetry to analyze mathematical situations  Transformations  Transmographer 2  Translate, reflect, or rotate point in the coordinate plane. 
3 
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3 

Transformations  Composition – Explore the effect of applying two of the following: translation, rotation, and reflection. 
3 
3 
3 
built in 

Transformations  Dilation – Dynamic dilation transformation. 
3 
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3 
built in 

Tessellations  Tessellations – Tile the plane. 
3 
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3 
built in 

Tessellate!  This tool allows you to make your own shape to tessellate the plane. (Shodor) 
3 
3 
3 

Use visualization, spatial reasoning, and geometric modeling to solve problems  Polyhedra  Platonic
Solids  Investigate the solids (cube, tetrahedron, ...). Rotate
the shape. Shiftclick the edges, vertices, and the faces to color (and
count them). V  E + F = ? Platonic Solid Duals  Investigate the solids and their duals. 
3 
2 
3 
Platonic Solids 
3D ShapesPlatonic Solids  Part of the Interactives site at Annenberg.  Test your skills (online)  
Euler's Theorem  Part of the Interactives site at Annenberg.  Test your skills (online)  
Truncate,
Expand, Snubify  From the five platonic solids, you can get other
solids using these three processes. 
3 
3 
3 

Drawing in Polyhedra  Draw segments on (or in) a polyhedron. Draw planes on (or in) a polyhedron. To draw a line, click on two (corner) points in the polyhedron. To draw a plane, click on a number of points then click on the first point again to draw the plane. Click and drag to rotate the polyhedron. 
3 
2 
3 

Nets  Cutouts, Nets  This applet folds a 2D net into a 3D object. Click and drag to manipulate the object/net. 
3 
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3 

3D Shapes  Part of the Interactives site at Annenberg. A couple pages of information then some interactive demos. Prisms, Pyramiods,  Test your skills (online)  
Solids of Revolution  Lathe  Click a line in the white area in the lower left corner to create a "curve." This curve is rotated around the axis to create a 3D shape. Manipulate the object with the mouse. 
3 
2 
3 

3D Visualization (Views)  Building Houses  Good Starter 3D visualization tool. Build with blocks and see the views. Click and drag to manipulate the object. 
3 
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3 

Houses with Height Numbers  Also a good beginner 3D visualization tool. Build with blocks. Click and drag to manipulate the object.  
Spheres  Great Circle – Use a 3D globe to visualize and measure the shortest path between cities. Spherical geometry. 
3 
3 
3 

Isometric Drawing  Isometric Drawing Tool  from NCTM.  3 
2 
2 

Broad Expectation*  Topic 
Link to Applet and Description 
How good for teacher demos (13)?

How easy for students (13)?

How good for exploration (13)?

Available activities 
Understand measurable attributes of objects and the units, systems, and processes of measurement  Rates  Understanding Distance, Speed, and Time Relationships  Simulation of two runners along a track. Explore slope and starting points. 
3 
2 
3 

Apply appropriate techniques, tools, and formulas to determine measurements  Angle Measure  Protractor applet  Very nice. Has an introduction (which can be skipped). Various interactive activities with and without a virtual protractor. 
3 
3 
3 
included 
Area and Perimeter  Shape Builder  Draw your own, or computer generate, shapes and investigate area and perimeter. Shodor  3 
3 
3 
Keep Score is build in 

Surface Area & Volume  Surface Area and Volume  Manipulate dimensions of polyhedra, and watch how the surface area and volume change. Also manipulate the solid. 
3 
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3 
use compute mode 

Three Dimensional Box Applet: Working With Volume  Cut (equal) corners from a rectangular piece of cardboard and fold into a box. 
3 
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3 
Find the maximum volume 

Convert Units  Converting Units  Interactive. "Multiply by a form of 1" to convert. 
3 
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3 
built in 
Broad Expectation*  Topic 
Link to Applet and Description

How good for teacher demos (13)?

How easy for students (13)?

How good for exploration (13)?

Available activities

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them  
Select and use appropriate statistical methods to analyze data  
Develop and evaluate inferences and predictions that are based on data  
Understand and apply basic concepts of probability  
Click here for the Index for >> Online Math Games, Demonstration/Exploration Tools, and Puzzles
(This page is organized using the five content areas in school mathematics, as articulated in the NCTM Principles and Standards, 2000.)
3=Excellent for class demonstrations of mathematics
2=Fair to Good for class demonstrations of mathematics
1=Not designed for class demonstrations of mathematics
3 = No advance instruction needed (very easy to use).
2 = Short demonstration helpful (pretty easy to use).
1 = Extensive demonstration needed (hard to use without an explanation).
3=Excellent for student exploration of mathematics.
2=Fair to Good for student exploration of mathematics.
1=Not designed for student exploration of mathematics.
by: James
R. Olsen, Western Illinois University
updated:
December 14, 2011