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  Exponents  Powers of Ten  View the Milky Way at 10 million light years from the Earth.  3 
3 
3 

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 
Functions  Function pages from NLVM  Each of the following six pages has interactive investigations on functions. Quite comprehensive. Each link has multiple pages. 
2 
3 
3 

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

3

3


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

2

2


Regression Equations  Line
of Best Fit  enter a set of data, plot the data on a grid, and determine
the equation for a line of best fit (NCTM). 
3

2

3


The Regression Line  Click to enter the data (points). Can see the line change with each new point.  3

3

2


Least Squares Regression Line  Can drag the points. Can manipulate the line. Three different error calculations.  3

3

3

Questions  
Linear regression java applet  You type in the (x,y) pairs. Good one if you don't have a graphics calculator! Does it one point at a time (which is good).  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  
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  
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  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  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