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  Complex numbers  Complex plane  Plot complex numbers as points in the plane (rectangular and polar coordinates given. Perform various operations on the complex number.  2

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Complex numbers  Complex maps  "f(z)"  Input is a complex number and output is a complex number. Input is shown (in the plane) and output is shown (in another plane).  3

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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  Functions 
Function pages from NLVM  Each of the following six pages has interactive investigations on functions. Quite comprehensive. Each link has multiple pages. 
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Function (general)  Function Flyer  one of the best applets on the web. Allows user to input function, manipulate x, and manipulate coefficients.  3 
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Geogebra  Great program for exploring functions, algebra, calculus, and geometry. 
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Represent and analyze mathematical situations and structures using algebraic symbols  
Use mathematical models to represent and understand quantitative relationships  Derivatives  Surfing Derivatives  A man is riding on the surf. f(x) as the curve of the wave . Notice the slope of the surfboard. You may trace of the slope is the derivative of f(x). Real nice! 
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Secant Line and Tangent Line  the classic diagram (tangent is the limit of the secant), but it is manipulatable with the mouse! 
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SecantTangent Applet  show secant lines converging on a tangent line. Very nice!  3 
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Geogebra  Great program for exploring functions, algebra, calculus, and geometry.  3 
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Derivative Matching Game  Match the function and it's derivative. Click here to go directly to the game. Takes a few moments to load.  3 
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Tangents Applet  This applet draws the graph of a function and its derivative. Similar to surfing derivatives, but you can use any function you wish. Clickanddrag on either graph. Very nice! 
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Derivatives Applet  This applet draws the graph of a function and its derivative (similar to the applet above).  3 
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Onesided derivative  This shows that the derivative does not exist when then left and right hand derivatives are different 
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Differentiation
1  has a number of real nice applets for looking at graphs
of functions, derivative, and second derivatives. (part of Maths
Online) 
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built in 

Estimating Slope of the Tangent Line  Pick point on curve and estimate the tangent line. Can zoom in on the point. By Daniel Heath.  
The Derivative Function  Similar to "surfing derivatives." Trace the curve and see the derivative graphed. By Daniel Heath.  
Derivative and Integral  Calculus Grapher  (no formulas) can drag points of function and show the Derivative and/or Integral AMAZING ! (from PhET).  3 
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Function, Derivative and Integral  (no formulas) can drag points of function and show the Derivative and/or Integral (from cuttheknot)  3 
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Riemann Sums  Riemann Sums  Use rectangles to approximate the area under the curve. 
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Riemann Sums  Use rectangles to approximate the area under the curve. (Similar to the applet above.) 
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RiemannSums Applet  One more, similar to those above.  3 
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Limit  Piecewise Functions, Limits, and Continuity  does lefthand, righthand, and 2sided limit.  3 
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The d  e Definition of a Limit  Stepbystep process of choosing a, L, e, and (lastly) d to see if the limit exists (and is, in fact, L). By Daniel Heath. 
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OneVariable Continuity Applet  d  e Definition of a Limit. You may type in any formula for f(x). You need to click the button to run the applet. 
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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. 
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LimitsTrig 
Limit of sin(x)/x  Make arc approach 0 and see what happens. 
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Specify locations and describe spatial relationships using coordinate geometry and other representational systems  Solids of Revolution  Volume of Revolution  Shows the function and the solid of revolution. You can set f(x), a, b, and the axis of rotation. 
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Apply transformations and use symmetry to analyze mathematical situations  
Use visualization, spatial reasoning, and geometric modeling to solve problems  Spheres  Great Circle – Use a 3D globe to visualize and measure the shortest path between cities. Spherical geometry. 
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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  Surface Area & Volume  Three Dimensional Box Applet: Working With Volume  Cut (equal) corners from a rectangular piece of cardboard and fold into a box. 
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Find the maximum volume

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