1 / 18

Where’s the missing square?

Where’s the missing square?. Dang! It’s Math again… . I know how you feel. Really. But Math can be fun, very fun.  . Math, fun? Really? . Let’s start with a classic. Choose a 3 digit number, ABC. Form a new number by repeating your number twice, i.e. ABCABC is my new number.

helia
Download Presentation

Where’s the missing square?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Where’s the missing square?

  2. Dang! It’s Math again… I know how you feel. Really. But Math can be fun, very fun. 

  3. Math, fun? Really? • Let’s start with a classic. Choose a 3 digit number, ABC. Form a new number by repeating your number twice, i.e. ABCABC is my new number. Divide it by 7, 11, then 13 What is the final number you’ve got?

  4. Magic squares? Look again.

  5. This is so fun! What is all this about? An introduction to recreational Math 20/7/14

  6. A mysterious invention: Mobius Strip

  7. Polynominoes

  8. Polynominoes • Shapes made by connecting certain number of equal-sized squares, each joined together with at least 1 other square along an edge

  9. Polynominoes: So what? • Another classic

  10. More Polynominoes • Consider this: • Given 2 squares, we can form 1 distinct shape of dominoes. • Given 3 squares, we can form 2 distinct shapes of trominoes.

  11. More Polynominoes • Given 4 squares, we can form 5 distinct shapes of tetrominoes • Given 5 squares, we can form 12 distinct shapes of pentominoes

  12. More Polynominoes • So, how many distinct shapes can we form with squares?

  13. Paradoxes They are everywhere! “Don't believe anything you read on the net. Except this. Well, including this, I suppose.” ― Douglas Adams “Good judgment comes from experience, and experience comes from bad judgment.” ― Rita Mae Brown, Alma Mater

  14. Paradoxes in Math • Zeno’s Paradoxes • Birthday Paradox In a room of just 23 people there’s a 50-50 chance of two people having the same birthday. In a room of 75 there’s a 99.9% chance of two people matching.

  15. “Education is the kindling of a flame, not the filling of a vessel.” ― Socrates • Some recommended topics for reading: • Game Theory (e.g. Prisonner’s Dilemma) • Paradoxes! (e.g. Zeno’s, Newcomb’s, Birthday, Friends, Missing Square) -Recreational Math (Martin Gardner!)

  16. Math is beautiful

  17. Teaching should be such that what is offered is perceived as a valuable gift rather than a hard duty.- Albert Einstein Thank you, and hope you have enjoyed this talk! 

  18. Quiz Time: This is really ingenius I would say

More Related