Monday, July 11, 2016

Dice Rolling Simulation

Click the Roll Dice button and record the sum of the number of dots. Do this for 20 times and tally the result.

Questions

1.) What do you observe?
2.) Which sum occurs more often? less often?
3.) Do the simulation for 30 times, 40 times, 50 times, 100 times. Are your observations still the same?
4.) Explain why your observations are such.



Tuesday, July 22, 2014

The Infinite Chocolate Puzzle

View the video below and observe what happens. Can you tell where did the extra chocolate come from?


Now, explore the GeoGebra applet below by moving point A (up and down) and moving points B and C along the diagonal.

  1. What do you observe about the video and the applet?
  2. Are the video and applet similar? 
  3. Where did the extra chocolate come from? 
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 Created with GeoGebra by Guillermo Bautista

Tuesday, March 18, 2014

The Date Problem

You and a friend arrange to meet between 12:00 and 1:00 in the afternoon. After a week neither of you remembers the exact meeting time. As a result, it is possible for you arrive at random between 12:00 and 1:00 and waits exactly 15 minutes for your friend to arrive. After 15 minutes, each of you leaves if the other person has not arrived. What is the probability that the two of you will meet?

Click the Play button at the bottom left of the applet.


Explore!

1.) Click Pause and see the exact time the two friends arrive.
2.) Refresh the browser to delete the point traces.
3.) Click Pause and drag the sliders to customize the time arrival.

***

Problem by Erlina R. Ronda
Created with GeoGebra by Guillermo P. Bautista Jr

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Tuesday, June 18, 2013

GeoGebra Tutorial: Exporting GeoGebra Worksheet to HTML 5

GeoGebra worksheets cannot run on devices that do not support Java. Examples of such devices are Apple’s iPads. To address this limitation, GeoGebra has created an export feature to HTML5. In this tutorial, we learn how to export a GeoGebra worksheet to HTML5.

Steps in Exporting a GeoGebra Worsheet to HTML5

1. Open the GeoGebra worksheet that you want to export to HTML5.   

2. Click the File menu, select Export, and then select Dynamic Worksheet as Webpage (html).


2. In the Dynamic Worksheet dialog box, select Export as Webpage button.

3. Type the Title of the web page and the texts needed above and below the construction.

4. Select the Advanced tab and be sure to check the Export to HTML only and Remove Line Breaks check boxes



5. Select File: html in the File section

6. Click the Export button


The exported HTML file can be used as a web page or embedded to websites or blogs. The HTML5 page does not need Java in order to run. 

Sunday, June 9, 2013

The Chebyshev Walking Machine

The Chebyshev linkage is a mechanical linkage that converts rotational motion to approximate straight-line motion. It was invented by the 19th century mathematician Pafnuty Chebyshev who studied theoretical problems in kinematic mechanisms.



One of these linkages is shown above. It is called the Chebyshev walking machine. Notice that the mechanism seems to reproduce the legs of an animal. Click the Play button to start the animation.

Snapshot

Reference
"Chebyshev Walking Machine"
 http://demonstrations.wolfram.com/ChebyshevWalkingMachine/
 Wolfram Demonstrations Project
 Published: November 5, 2012

Wednesday, April 10, 2013

Five Squares to One

Move points A and B to resize the squares. Drag the slider to the extreme right to move the parts of the square. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
Snapshot


Contributed by: Izidor Hafner

Monday, March 25, 2013

Dissecting an Octagon to Two Smaller Octagons

To dissect the octagon, move slider alpha to the extreme right and then move slider v to the extreme right.
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
Reference:

Contributed by: Izidor Hafner
Based on work by: Greg N. Frederickson


Snapshot