Tessellations

Our project for the 4th grading period is about tessellations. We will create Escher-like tessellations. 

There will be tutorials on how to create tessellations.
 

The transformation concepts of translation, reflection, and rotation will also be discussed.
 
Tutorials on tessellations can be downloaded at the school computer lab—including the rubrics.

Meanwhile, here are some links for additional information and tutorials on tessellations. Don’t forget to visit M. C. Escher’s and Marjorie Rice’s websites.
 
Recommended:
http://tessellations.org/
 
Tessellation images and information:
http://www.mathsisfun.com/geometry/tessellation.html
http://42explore.com/teslatn.htm
http://homepage.mac.com/efithian/Geometry/Activity-12.html
http://library.thinkquest.org/16661/gallery/thumbnails.html
http://42explore.com/teslatn.htm
http://en.wikipedia.org/wiki/Uniform_tiling

How tos:
http://homepage.mac.com/efithian/Geometry/Activity-12.html

The Official M.C.Escher Website:
http://www.mcescher.com/

Marjorie Rice’s website:
http://tessellations.home.comcast.net/~tessellations/

Tessellation software online:
http://www.mathsisfun.com/geometry/tessellation-artist.html
http://ejad.best.vwh.net/java/patterns/patterns_j.shtml

How to Make an Escher-esque Tessellation
http://www.youtube.com/watch?v=212XC1zfxXY

Two-Column Proofs

I have just finished checking your test papers this evening and found out that most of you have difficulty solving two-column proofs. I understand the uneasy situation you are in right now and I must tell you that you are not alone in this kind of predicament.

I have published a series of posts about two-column proofs in our Geometry website. I recommend you read them and download the available file for your review.

Remember, it's never late to learn proving theorems even after your First Periodical Test.

There is also a PowerPoint presentation, Writing a Good Proof, at Available Documents.

How to Sign Up As a Follower, Stop Following This Blog, or Changing Your Name

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How to Take My Exams

The following are tips for taking my exams. My exams are easy if you always attend my class, and actively join in our discussions.

1. Review your notes and not your textbook. I gather information from many sources, so the lessons that we have discussed and you took note in the classroom are the most likely materials that will come out in my exams.
2. The list of postulates, theorems, and corollaries is the bible of our geometry class. Always remember and understand what each statement means and how to demonstrate it.
3. Always bring a ruler, protractor, pencil, compass, pen, and lots of papers.
4. Check the number of pages of the test papers and ask for the missing copy from the proctor or test administrator if they are incomplete.
   
5. Answer the easiest test items first. Handle the not easy ones later. Do not spend too much time on one item if you don’t know the answer.
6. Ask for some clarification from the proctor if the test items are vague or are not clear to you. But don’t ask for the answers :-)
   
7. If you have enough time—review your answers. Do not pass your paper(s) in a hurry. Remember, in my exams, you don't get additional points for passing early.
8. Finally an advice for you—PRACTICE, PRACTICE, PRACTICE.
   

The True Representation of a Point

The following is the correct representation of a point, say point A.

The following is not the correct representation of a point.

A point has no circle around it.