Algebra Online Demonstration/Exploration Tools

 
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Explanation of Column Headings
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  Page Contents:

Number and Operations
Algebra
Geometry
Measurement
Data Analysis and Probability

Number and Operations

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.
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Understand meanings of operations and how they relate to one another GCD & LCM Some Integer Functions Involving Division - from the Wolfram Demonstrations Project. You do need to download the Player. (Powered by Mathematica.)
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Compute fluently and make reasonable estimate            
             

Algebra

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.
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Quickie
    Slope of a Line - Drag points A and B and see the slope change. See rise over run.
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  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.
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    Slope-intercept Form of a Line - Drag m and b.
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  Regression Equations Linear Model - Real basic. Good starter applet for regression.
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#28 in the Recording Sheets
             
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.
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Included online
  Distributive Property, Multiplying Binomials, and Factoring Algebra Tiles - Visualize multiplying and factoring algebraic expressions using tiles.
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  Solving Equations Algebra Balance Scales - Positive quantities represented by blocks, negative by balloons which lift. Uses and balance and the equation is solved algebraically.
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Recording Sheet
Use mathematical models to represent and understand quantitative relationships            
             
Analyze change in various contexts            
             
             

Geometry

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            
             

Measurement

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.
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    Learning about Rate of Change - cost per minute of phone use. Linear Functions Using Interactive Graphs. See also Changing Cost per Minute.
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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.
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built in
             

Data Analysis and Probability

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).
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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            
             
 
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Click here for the Index for >> Online Math Games, Demonstration/Exploration Tools, and Puzzles

Explanation of Column Headings

(This page is organized using the five content areas in school mathematics, as articulated in the NCTM Principles and Standards, 2000.)


by: James R. Olsen, Western Illinois University
updated: December 14, 2011