Page Contents:
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| Broad Expectation* | Topic | Link to Applet and Description |
How good for teacher demos (1-3)? |
How easy for students (1-3)? |
How good for exploration (1-3)? |
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 |
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| 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
(1-3)?
|
How easy for students (1-3)?
|
How good for exploration
(1-3)?
|
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
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3
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3
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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 |
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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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3
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3
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| Quadratic Functions | Quadratic Functions - Complete Square form f(x) = a(x-h)² + k. Manipulate a, h, and k. | 2
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3
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3
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| Quadratic Functions - General form. f(x) = ax² + bx + c. Manipulate a, b, and c. Calculates discriminant and shows axis of symmetry. | 2
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3
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3
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| Exponential Functions | Exponential Functions - y = a*b^x. Manipulate a and b, sliders or points on the graph. | 2
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3
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3
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| Translating Graphs | Translating Graphs of Functions - Manipulate h and k in y = f(x-h) + k. | 3
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3
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3
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| 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
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3
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| Inverse Functions | Inverse Functions - Graphs function and the inverse relation (6 function types, linear, cubic, etc.). | 1
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2
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2
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| 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
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2
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3
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| The Regression Line - Click to enter the data (points). Can see the line change with each new point. | 3
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3
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2
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| Least Squares Regression Line - Can drag the points. Can manipulate the line. Three different error calculations. | 3
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3
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3
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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
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3
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3
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| 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
(1-3)?
|
How easy for students (1-3)?
|
How good for exploration
(1-3)?
|
Available activities
|
| Analyze characteristics and properties of two- and three-dimensional 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
(1-3)?
|
How easy for students (1-3)?
|
How good for exploration
(1-3)?
|
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
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2
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3
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| Apply appropriate techniques, tools, and formulas to determine measurements | Convert Units | Converting Units - Interactive. "Multiply by a form of 1" to convert. | 3
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3
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3
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built in
|
| Broad Expectation* | Topic | Link to Applet and Description
|
How good for teacher demos
(1-3)?
|
How easy for students (1-3)?
|
How good for exploration
(1-3)?
|
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 | Ball-Dropping applet - Ball drops down through a series of pins. Probability and Pascal's Triangle. | 3
|
3
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3
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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
