Tessellation Project

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

Math Forum Closed

This is to inform you that the above Math Forum is temporarily closed. The forum has been getting spam messages.  

If this spam problem cannot be resolved then it will be closed for good.

Origami

Here are some samples of origamis submitted by St. Augustine class.

Project #2: Origami – The Art of Paper Folding

Your second project is about origami. The details of this project can be downloaded at our Geometry website, Origami Project #2.pdf

Here are some helpful links on the origin and history of origami. You can also find illustrations and instructions on how to fold origami projects in these links.

http://library.thinkquest.org/27458/nf/origami/history.html
http://www.origamiwithrachelkatz.com/origami/origami.htm
http://www.origami.as/Info/history.php
http://www.origami-instructions.com/history-of-origami.html
http://www.origami-usa.org/
http://dev.origami.com/diagram.cfm (many examples are available here)
http://www.origami.com/folders_web.html
http://www.teach-nology.com/crafts/origami/
http://www.origamicorner.com/orre.html

http://www.associatedcontent.com/article/1511868/a_brief_history_of_origami.html?cat=4

http://origami.ousaan.com/library/historye.html
http://www.youtube.com/origamicorner

All links open in a new tab or window.

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

How to become a follower

1. Click the Follow button. A 'Follow Geometry' dialog box opens.
2. Click Google or Yahoo! whichever is your email address account. A new dialog box opens.
3. Type your desired name in the 'Name' textbox. Formal names only please.
4. Choose either 'Follow publicly' or 'Follow privately.'
5. Click ‘More options.’ A new dialog box opens. Here you may edit your profile, etc.
6. Click ‘Edit basic information’ and type your desired name again. You may opt to leave the ‘About Me’ textbox blank. Then click the ‘Save ‘ button.
7. Finally, click the Follow button.
   

How to stop following the blog

1. Click ‘Sign in.’ A dialog box opens. Click Google or Yahoo! Follow the directions. You will be told to sign in to your email account.
2. The dialog box closes and your picture in ‘Followers’ sidebar in the Geometry blog appears highlighted. Click ‘Options.’ If another dialog box opens instead, go to Step 4.
3. Click "Site settings" A Geometry Settings dialog box opens.
4. Click ‘More options.’
5. Click ‘Stop following this site.’ A ‘Stop Following Geometry’ dialog box opens.
6. Click the ‘Stop Following’ button.
   

How to change your ‘follower name’
If your name appears to be in random letters and numbers, you must sign in to change your name. Click ‘Sign in’ and follow Steps 2 to 7 in ‘How to become a follower.’

Followers not showing up in Internet Explorer
There are times that the Followers widget will not show up in Internet Explorer. I recommend you switch browsers to Firefox, Opera, Chrome, Safari, or any other browsers.

Sometimes the issue of Followers widget not showing up is a matter of allowing the browser to finish loading the page.

If all else fails
Go to Blogger Help.

Internet Safety

If today is Wednesday July 15th 2009, then you are probably one of my students in Geometry III - St. Augustine.

Here is an advice for you and to all CST students.

1. This site is not a chat room. This site is NOT Friendster or any other social network!
2. Do not divulge your full name or personal profile when commenting. Identification by first name only is accepted here.
3. Do not write your email address when posting or commenting.
4. Use a formal and proper email address. No to cutie_pie@something.com or pogi@somewhere.com. I will ban you from this site if you use such email addresses.
5. If you are interested to be a Follower, use pictures that are low in quality—probably less than 2kb in size. Use of decent avatars is recommended (see the picture above).
6. Btw, you are not allowed to chat here. You may exchange information through commenting without limit as long as it is relevant to the post or to your classroom activities.
   
7. Post comments and suggestions not related to a particular post in the Mini Forums. See left sidebar.
   
8. Your comments are to be filtered by your teacher.
9. Finally, visit the following sites: Internet Safety for Parents, Safe Surfing Tips for Teens, FBI Publications - A Parent's Guide to Internet Safety

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.

A Journey through Geometry

This is how we are going to deal with our Geometry subject. First, we will discuss points, lines, planes, and space (we already did). Then, we will discuss the basics of polygons and triangles.

With this introduction to triangles, I will walk you through the introduction to Two-Column Proofs. Then, we will discuss parallel and perpendicular lines, and continue to plane and solid geometry. The illustration below summarizes our topics and lessons for the school year.

Our projects will focus through the real-world applications of Geometry; one project for the first grading period, another one for the second and third grading period which is about origami; the project for the fourth grading period is about creating tessellations.

Welcome to Geometry Class

Welcome 3rd year students and parents to Colegio de Sta. Teresita's Geometry class! My name is Arnel Dy and I am your teacher in Geometry III-St. Augustine.

It is my goal to provide you educationally challenging, yet fun, experience in our classroom. We will learn the wonderful world of Euclidean Geometry and apply your learning in real-world situations. In addition, it is also my goal to make you a productive, able, and responsible citizen of the community.

I have high expectations for all my students and we should work together to maintain those expectations. I encourage you to attend my class every day so you can learn and practice the lessons I have prepared for you each day.

I believe it is important that we should have a clear and open line of communication so we can work together for our students' progress. If you have questions and concerns, please feel free to visit me at school. I am available from 2:45 p.m. to 3:15 p.m. and from 4:15 p.m. to 4:45 p.m.

I am thrilled to learning about who my students are and I hope that you come to school with an open mind and a determination to perform well in my classroom.