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This applet, with multiple levels of difficulty, enables the student to explore the meaning of balance, a key concept in developing mathematical understanding of solving equations. First, students select to work with two to four shapes of differening weights. The chosen simulation gives the weight of one shape and allows the student to experiment to balance the virtual scale by adding shapes of unknown weights. After balancing the scale, the student must determine the unknown weight for the shape or shapes and enter the information into the simulation. The student can check the solution and, if correct, proceed to a new problem. If incorrect, the student can continue to experiment with the shapes to balance the scale or choose to see the solution and move to a new problem. Copyright 2005 Eisenhower National Clearinghouse

Summary

Subject keyword(s)Algebra, Education, Equations, Linear, Mathematics, Process skills
Grade levelElementary School, Middle School, High School, Informal Education
Intended audienceLearner
Resource typeAudio/Visual, Instructional Material
Resource formatimage, image/jpeg, text, text/html, text/plain
RightsCopyright 1994-2004 MSTE. All rights reserved.

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MSP2: Math and Science Pathways

Content contained within the resource

Balance Beam Activity The Concept:     Use basic equation principles with the virtualBalance to find the weights of various figures. You are presented witha number of shapes and one of their weights is known. Your goal is tofind the weights of the other objects by finding the relationshipsbetween the objects of various weights. This is achieved with asimulation of a balance beam to tell you how the weights relate. Instructions:     Put shapes on both sides of the Balance and observewhich side is heavier. When you are confident in your knowledge of theweight of the shapes, write the values into the appropriate fields.When you have all the weights filled in, ask the computer to check youranswer.     Controls: Check: Click the "Check" button to see if you guessed the weightsright. When running an "incremental" puzzle, if the answer is right,you are advanced to the next level. Answer: See the answer. Displays the weights in the fields nextto the shapes. Clear: Takes all the shapes off the balance. New: Generate a new problem. ThePurpose: Placing virtual shapes on a virtual balance beam is presentedhere to allow students to learn basic equation-solving skills withoutthe bounds presented by a physical balance beam. The students are able to solve balance beam puzzles with randomweight on every try. The weights vary between selected puzzle modes. Gives 3 puzzle modes to test your skills on. The Simulation: Run the Balance in 4 different modes: 2 Shapes     Standard, Weights vary randomly between 1 and 6     Complex, Weights varyrandomly between 2 and 10 3 Shapes    Standard, Weights vary randomlybetween 1 and 6     Complex, Weights varyrandomly between 2 and 10 4 Shapes    Standard, Weights vary randomlybetween 1 and 6     Medium,  Weightsvary randomly between 1 and 10     Complex, Weights varyrandomly between 2 and 10 Incremental: You start with 2shapes and advance to 4 shapes    Standard, Weights vary randomlybetween 1 and 6     Medium, Weights vary randomly between 1 and 10     Complex, Weights varyrandomly between 2 and 10 Problems?     If you are having trouble loading theApplet, a possible solution is to update your Java Runtime Environment.     To update your JRE, go to SUN's Java Webpageand follow the link to download Java software.     If you are having problems using the applet, pleasenotify PavelSafronov.         Please specify the applet you areusing, your web browser, operating system and the particular problemexperienced. Please be as detailed as possible. TheCredits: Applet designed and coded by PavelSafronov. Contact at MSTE offices: 505East Green Street, Suite 102 Champaign, IL 61820 Download the source code in txtfile: Balance     To run the source code, change the extension to.java Please e-mail me with comments,error reports or complaints you haveabout the applet.