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  Integer Addition  Color ChipsAddition  Use color chips to illustrate addition of integers.  3 
3 
3 
built in 
Integer Subtraction 
Color ChipsSubtraction  Use color chips to illustrate subtraction of integers.  3 
3 
3 
built in 

Percent  Percentages 
Solve __% of __ is __ problems. ("What percent of a number is a number") 
3 
3 
3 

Fractions/Decimals/ Percents 
Fraction Model Applet  Set model, length model, and circle (area) model. Nice multiple representation tool from NCTM.  3 
3 
2 

Understand meanings of operations and how they relate to one another  Factoring Numbers  Factor Tree  Prime factorization. Computer generated numbers or make your own.  3 
3 
2 
built in 
Integer Multiplication  Rectangle Multiplication of Integers – Visualize multiplication of integers using an area representation.  3 
3 
3 

Prime Numbers 
Sieve of Eratosthenes  an (ancient, but still good) way to find the primes. Sieve of Eratosthenes – another one  click at the bottom of the table. Sieve of Eratosthenes – another one. 
3 
3 
3 

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  
Represent and analyze mathematical situations and structures using algebraic symbols  Expressions  Pan BalanceExpressions  Interactive pan balance allows numeric or algebraic expressions to be entered and compared. This balance is a natural extension of Pan BalanceNumbers and Pan BalanceShapes.  3 
3 
3 
Included online 
Distributive Property, Multiplying Binomials, and Factoring  Algebra Tiles  Visualize multiplying and factoring algebraic expressions using tiles.  3  2  3  
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  Shapes  Geoboard – Use geoboards (virtual rubber bands) to illustrate area, perimeter, and more. 
3

3

3

built in

Specify locations and describe spatial relationships using coordinate geometry and other representational systems  2D relationships  Turtle Geometry – Explore numbers, shapes, and logic by programming a turtle to move. 
3

3

3


Apply transformations and use symmetry to analyze mathematical situations  Transformations  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

3

3

built in


Combining
Transformations  Four levels of play. Use translation, rotation,
reflection, and dilation. 
3

3

3


Tessellations  Tessellations – Tile the plane. 
3

3

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 
Platonic Solids  Nets  Cutout, Nets  Manipulate nets for the five Platonic Solids. Click and drag! See them open and close. 
3

3

3

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 
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

3

3

use compute mode


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  Graphing Data  Create a Graph Tool  for students (others) to make statistical graphs (NCES). 
3

2

3


Bar Graph  You may enter data to create a bar graph, then change the settings for the graph's appearance. 
3

2

3


Select and use appropriate statistical methods to analyze data  Mean, Median, Mode  Plop It!  allows the user to experiment with mean, median, and mode by using a bar graph (Shodor). 
3

3

3

Available under the Learner tab

Mean and Median  user experiments with mean, median, and applet shows the boxandwhisker plot (NCTM). 
3

3

3

Available under the Exploration


Comparing Properties of the Mean and the Median  Simplified version of "Mean and Median" above (only 7 data points and no boxandwhisker plot). 
3

3

3

On web page


Develop and evaluate inferences and predictions that are based on data  
Understand and apply basic concepts of probability  Experimental probability  BallDropping applet  Ball drops down through a series of pins. Probability and Pascal's Triangle. 
3

3

3


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