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.

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

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