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 | Integer Addition | Color Chips-Addition - Use color chips to illustrate addition of integers. | 3 |
3 |
3 |
built in |
Integer Subtraction |
Color Chips-Subtraction - 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 |
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| 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 |
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| 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 | ||||||
| Represent and analyze mathematical situations and structures using algebraic symbols | Expressions | Pan Balance-Expressions - Interactive pan balance allows numeric or algebraic expressions to be entered and compared. This balance is a natural extension of Pan Balance-Numbers and Pan Balance-Shapes. | 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 (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 | 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
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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
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built in
|
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| Combining
Transformations - Four levels of play. Use translation, rotation,
reflection, and dilation. |
3
|
3
|
3
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| Tessellations | Tessellations – Tile the plane. |
3
|
3
|
3
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built in
|
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| Tessellate! - This tool allows you to make your own shape to tessellate the plane. (Shodor) |
3
|
3
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3
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| Use visualization, spatial reasoning, and geometric modeling to solve problems | Polyhedra | Platonic
Solids - Investigate the solids (cube, tetrahedron, ...). Rotate
the shape. Shift-click 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 | Cut-out, Nets - Manipulate nets for the five Platonic Solids. Click and drag! See them open and close. |
3
|
3
|
3
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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 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 (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 | Graphing Data | Create a Graph Tool - for students (others) to make statistical graphs (NCES). |
3
|
2
|
3
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| Bar Graph - You may enter data to create a bar graph, then change the settings for the graph's appearance. |
3
|
2
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3
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| 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 box-and-whisker plot (NCTM). |
3
|
3
|
3
|
Available under the Exploration
|
||
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Comparing Properties of the Mean and the Median - Simplified version of "Mean and Median" above (only 7 data points and no box-and-whisker 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 | Ball-Dropping applet - Ball drops down through a series of pins. Probability and Pascal's Triangle. |
3
|
3
|
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
