A round table has four deep pockets equally spaced around its perimeter. There is a cup in each pocket oriented either up or down, but you cannot see which. The goal of the game is to get all the cups ‘up’ or all the cups ‘down’. You do this by reaching into any two pockets, feeling the orientation of the glasses, and then doing something with them, (you can flip one, two, or none). However, as soon as you take your hands out of the pockets the table spins in such a way that you can’t keep track of where the pockets you have visited are. If the four glasses ever get oriented all up or all down a bell rings to signal you are done. Can you guarantee that you will get the bell to ring in a (maximum) finite number of moves, and if so, how many?
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Please feel free to post questions or your best answer in a comment… but do not ruin the challenge for others by explaining how you got to that answer here! If you feel compelled to share your method, please do so by contacting me. Thanks!
You have two glass orbs of equal strength and a 40 story building.
Your task is to determine the highest floor from which you can drop an orb without it breaking.
What is the least number of drops required to do this?
Both orbs may be broken in order to determine your answer.
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Please feel free to post your questions or best answer in a comment… but do not ruin the challenge for others by explaining how you got to that answer here! If you feel compelled to share your method, please do so by contacting me. Thanks!
Image: ‘Sphere_2720’by doviende
With the tag, all project photos can be seen in a single space.
A description of the project by Cool Cat Teacher is here.
The Trig. assignment/Ruberic developed by Darren Kuropatwa is here.
What a great assignment to do for Fractions or Geometry!
The use of Hotspots is what really ties the photo to the learning!
(‘Add Note’ on a Flickr photo).
This is “Tenny’s trig” photo from Darren’s class. (With Hotspots Here)
This can be used in Art and quite frankly, across the curriculum, but I really like the potential for using it in Math. Congrats to Darren – this is brilliant!