Due June 15 at 11:59 PM HOL time. Suggested deadline: 15 of May
Please send your answers in two separate emails to [email protected] and put "HW 4 - HOL Name" or "EC 4 - HOL Name" in the subject line. Also remember to include your HOL name and your House in the body of your emails so I know who to award the points to.
Images must be uploaded to a site like postimg, tinypic, or photobucket and sent as a link. Attachments will NOT be opened.
Should you rely on assistive technology or have any other needs that should be taken into account, please contact me and we can discuss other options for certain parts of the assignments.
Please send your answers in two separate emails to [email protected] and put "HW 4 - HOL Name" or "EC 4 - HOL Name" in the subject line. Also remember to include your HOL name and your House in the body of your emails so I know who to award the points to.
Images must be uploaded to a site like postimg, tinypic, or photobucket and sent as a link. Attachments will NOT be opened.
Should you rely on assistive technology or have any other needs that should be taken into account, please contact me and we can discuss other options for certain parts of the assignments.
Homework
Fill in the Blanks (10 points)
Knight and Knave Puzzle (10 points)
Solve this knights are knave puzzle. 5 points for the correct answer and 5 points for an explanation of your thinking. If you are stuck, contact me and I will help you:
One day the king of the island asked the queen to bake some of her famous cookies. However, it turned out someone stole the sugar for the cookies! A quick search for the sugar discovered it in the Lady in Waiting's home. However, it turned out that either the Lady in Waiting or her Cook stole it, but not both of them at the same time. The two gave the following statements:
Lady in Waiting: "The Cook did not steal the sugar"
Cook: "The sugar was stolen by the Lady in Waiting"
The person who actually stole the sugar was a knave, however we do not know who the other one is. Who stole the sugar?
Research (10 points)
Research a sequence (or create your own!) we have not talked about in this lesson. It can be as simple or as complicated as possible. To get full credit, write out the first 10 terms of the sequence and write at least 50 words on the sequence (the history, why you found it interesting, etc). If you can, find the sequence on oeis.org/ and send me the link.
- The ratio between Fibonacci numbers converges to _________.
- Fibonacci numbers can be found in _________ triangle.
- In the _______________ the number you start with becomes the ending digit of all other terms.
- ___________ are liars while _________ are truth-tellers.
- There are _______________ many amount of primes.
Knight and Knave Puzzle (10 points)
Solve this knights are knave puzzle. 5 points for the correct answer and 5 points for an explanation of your thinking. If you are stuck, contact me and I will help you:
One day the king of the island asked the queen to bake some of her famous cookies. However, it turned out someone stole the sugar for the cookies! A quick search for the sugar discovered it in the Lady in Waiting's home. However, it turned out that either the Lady in Waiting or her Cook stole it, but not both of them at the same time. The two gave the following statements:
Lady in Waiting: "The Cook did not steal the sugar"
Cook: "The sugar was stolen by the Lady in Waiting"
The person who actually stole the sugar was a knave, however we do not know who the other one is. Who stole the sugar?
Research (10 points)
Research a sequence (or create your own!) we have not talked about in this lesson. It can be as simple or as complicated as possible. To get full credit, write out the first 10 terms of the sequence and write at least 50 words on the sequence (the history, why you found it interesting, etc). If you can, find the sequence on oeis.org/ and send me the link.
Extra Credit
Fibonacci (15 points)
Research the man, the myth, the legend, behind the Fibonacci numbers and write a 150 word biography on him and his work. You can be as creative as possible but the only requirement is at least 150 words!
Numbers in Nature (15 points)
This lesson we talked about Fibonacci numbers and how you can find them in shells. Draw a shell (or anything else you can find Fibonacci numbers in, for instance flowers) and be creative while doing so! All images should be uploaded to a site like Postimages and sent as a link. Attachments will NOT be accepted.
Hashi Puzzle (15 points)
Solve the following hashi puzzle and send me the finished solution. The rules can be found here.
All images should be uploaded to a site like Postimages and sent as a link. Attachments will NOT be accepted.
Link: https://postimg.cc/5XWn5SN6
Research the man, the myth, the legend, behind the Fibonacci numbers and write a 150 word biography on him and his work. You can be as creative as possible but the only requirement is at least 150 words!
Numbers in Nature (15 points)
This lesson we talked about Fibonacci numbers and how you can find them in shells. Draw a shell (or anything else you can find Fibonacci numbers in, for instance flowers) and be creative while doing so! All images should be uploaded to a site like Postimages and sent as a link. Attachments will NOT be accepted.
Hashi Puzzle (15 points)
Solve the following hashi puzzle and send me the finished solution. The rules can be found here.
All images should be uploaded to a site like Postimages and sent as a link. Attachments will NOT be accepted.
Link: https://postimg.cc/5XWn5SN6