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HANBO XU
Aug 06, 2022
In Question Board
This week, we learned about the Pythagorean Theorem and applied it to a variety of interesting problems. We also tried our hands at the Colored Loops puzzle. The puzzle in the picture has three solutions. Can you try to find all of the solutions? (hint: try starting on one color and finding a complete loop.) Here is the Jamboard where you can access the problems we solved and the class notes: https://jamboard.google.com/d/1prdftFsEDVCOCEWnDnNdJzxaBMut4DMYNR3aczH3cbk/viewer?f=4 Make sure to let us know if you have any questions!
Week 9 Discussion Problem: Colored Loops content media
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HANBO XU
Jul 31, 2022
In Question Board
In addition to some interesting AMC 8 problems, we solved some Domino Dissection puzzles. Puzzle 190 is a very hard 8x7 puzzle, see if you can solve it! Remember, you can only use each domino piece ONCE! https://www.jrmf.org/activities/domino-dissection
Week 8 Discussion Problem: Domino Dissection content media
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HANBO XU
Jun 04, 2022
In Question Board
In class, we started with the classic river crossing problem of a wolf, a goat, and a cabbage. We then moved on to a variation in which we need to carry humans and zombies instead. Remember, if there are more zombies than humans on any side of the river, all of the humans on that side will die. How would you solve the case with 4 humans and 4 zombies, along with a boat with two slots? Is it impossible? If so, what is your reasoning? The app is linked below: https://www.jrmf.org/activities/river-crossings
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HANBO XU
May 15, 2022
In Question Board
In class, we talked about how the Tower of Hanoi is based on recursive relations. We also found the recursive relation for the Tower of Hanoi with three pegs. We then explored the Tower of Hanoi with two rings of each color, four pegs, and five pegs. We ended by exploring the Tower of Hanoi with colored pegs. In particular, we explored the case where A and B are pegs of one color, while C is another color. You can only move rings between pegs of different colors. Can you find the number of moves with four rings and five rings for the Tower of Hanoi with colored pegs? The app is linked below: https://www.jrmf.org/activities/tower-of-hanoi For those of you who weren't able to make it, check out our meeting here: https://youtu.be/8OvXQtIE5ds Looking forward to seeing everyone next Friday night from 7 - 8!
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HANBO XU
May 15, 2022
In Question Board
Please follow these rules when you post on the Question Board: Do not spam. Excessive spamming will cause you to be banned. Please remain respectful. Inappropriate language and insulting another student will cause you to be banned. Do not post offensive posts, links, or images. Doing so will result in a ban. Please use the search function before asking a question. Someone else might have asked your question already! :)
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