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  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 

Quadratic Functions  Quadratic Functions  Complete Square form f(x) = a(xh)² + k. Manipulate a, h, and k. 
2 
3 
3 

Quadratic Functions  General form. f(x) = ax² + bx + c. Manipulate a, b, and c. Calculates discriminant and shows axis of symmetry. 
2 
3 
3 

Exponential Functions  Exponential Functions  y = a*b^x. Manipulate a and b, sliders or points on the graph. 
2 
3 
3 

Translating Graphs  Translating Graphs of Functions  Manipulate h and k in y = f(xh) + k. 
3 
3 
3 

Expanding & Reflecting Graphs  Expanding, Compressing, or Reflecting Graphs of Functions  Manipulate a and b in y = a*f(bx). 
2 
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3 

Inverse Functions  Inverse Functions  Graphs function and the inverse relation (6 function types, linear, cubic, etc.). 
1 
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2 

Conic Sections  Conic Section Explorer  Actually cut the cone and see that the cross section is a circle, ellipse, paraboly, or hyperbola. 
3 
3 
3 
built in  
Conic Flyer  Manipulate h, k, r, etc. in the equation and see the resulting effects on the graph. (Shodor)  3 
3 
3 

Circles  Manipulate r, h, and k and manipulate the center (the point). (Blond) 
3 
3 
3 

Circle Maker  Go from the equation to the graph. Click the center (on the graph) drag out to the radius. (Blond) 
2 
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3 
built in 

Ellipses and Hyperbolas  Manipulate a, b, h, and k. Does not show foci. (Blond) 
2 
3 
3 

Represent and analyze mathematical situations and structures using algebraic symbols  
Use mathematical models to represent and understand quantitative relationships  Solving Polynomial Equations  Real & Complex Roots of a Polynomial  You may change the 5 coefficients in teh fourth degree polynomial (or make some zero). The graph of y = f(x) is shown and all the solutions are show in the complex plane. By Daniel Heath. 
2 
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3 

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  Trigonometry  Unit Circle  Pick modes from 4 to 24 points on the circle. Manipulate points on circle  Exact or Approximate. 
2 
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3 

Sine curve visualization tool  real basic. Manipulate point on the unit circle. 
3 
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3 

Circular Sine Function  Shows unit circle and graph. Real basic. 
5 
3 
2 

Circular Functions  Sine, Cosine, and Tangent. Shows unit circle and graph. This would not be the first one I'd use. Has the feature of "solving" for a specific function value. 
2 
2 
3 

Six Trigonometric Functions  Unit circle and angle of rotation. Uses color. (Does not show the graph.) 
2 
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3 

Vertical
Transformations of Sine and Cosecant  Manipulate (only)
amplitude and vertical shift. 
2 
3 3 3 3 
3 3 3 3 

Specify locations and describe spatial relationships using coordinate geometry and other representational systems  
Apply transformations and use symmetry to analyze mathematical situations  
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 Points  3D Point Plotter  Enter ordered triples (x, y, z,). Very nice. Easy to manipulate.  3 
3 
3 

Spheres  Great Circle – Use a 3D globe to visualize and measure the shortest path between cities. Spherical geometry. 
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  
Apply appropriate techniques, tools, and formulas to determine measurements  Convert Units  Converting Units  Interactive. "Multiply by a form of 1" to convert. 
3

3

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