Thursday, October 14, 2010

Pre-AP Geometry Transformations Mural Project: Transforming New Tech

[ Note to regular geometry students: this project is not required for you, but is available for extra credit.]

  • Get in a group of 2-3 people (no more than 3, and no working alone).
  • Use Geogebra to design a mural (logo or image to be painted on a wall) for New Tech that uses all four transformations plus a composite transformation (two or more transformations used at once). Your design should show pride in New Tech and all it stands for (21st century skills, Professionalism 24/7, Trust, Respect, and Responsibility). This is a competition, judged by New Tech teachers, Akins math teachers, and Mr. Bacom. Winner(s) will be painted on my classroom wall.
  • Original images only! No inserted clipart.
  • Use the transformation tools in Geogebra; you'll save yourself a lot of time and effort!
  • Use the "insert text" tool to write in all the transformation rules, and to put your team members' names on it.
  • Finally, do a printscreen and save it as an image, and then turn it in to my dropbox.
This is due by end of class next time (Wednesday).

Rubric:
(Points are earned in content, collaboration, professionalism, written communication, digital literacy, and critical and inventive thinking.)
unsatisfactory
(0-69%)
proficient
(70-89%)
advanced
(90-100%)
reflection
5 points per learning outcome
Transformation is absent, tools are used improperly, or rule is missing or incorrect. Transformation is completed using the tools in Geogebra, and transformation rule is completely and correctly written.  More than one example of this transformation is present, with transformation rules accurate for all.
rotation
5 points per learning outcome
Transformation is absent, tools are used improperly, or rule is missing or incorrect. Transformation is completed using the tools in Geogebra, and transformation rule is completely and correctly written.  More than one example of this transformation is present, with transformation rules accurate for all.
translation
5 points per learning outcome
Transformation is absent, tools are used improperly, or rule is missing or incorrect. Transformation is completed using the tools in Geogebra, and transformation rule is completely and correctly written.  More than one example of this transformation is present, with transformation rules accurate for all.
dilation
5 points per learning outcome
Transformation is absent, tools are used improperly, or rule is missing or incorrect. Transformation is completed using the tools in Geogebra, and transformation rule is completely and correctly written.  More than one example of this transformation is present, with transformation rules accurate for all.
composite
5 points per learning outcome
Transformation is absent, tools are used improperly, or rule is missing or incorrect. Transformation is completed using the tools in Geogebra, and transformation rule is completely and correctly written.  More than one example of this transformation is present, with transformation rules accurate for all.

Monday, October 4, 2010

Transformations and Tessallations.

Wednesday Oct. 6, 5th, 6th, and 8th period geometry:

You should have been given a paper with shapes on it as you came in. Right away, get scissors from one of the silver bins, and cut out the shapes. Hang on to them.

In class,
  • Arrange the shapes on your grid paper to find a repeating pattern (tessellation) – your pattern must include at least two different types of regular polygon. If there is another shape included, that’s fine, as long as there are two different regular polygons.
  • Trace the shapes to repeat the pattern across the whole page of graph paper.
  • Find at least two examples of different geometric transformations (reflection, rotation, translation, or dilation).
  • Use a marker to outline the two examples of transformations (one shape for each)
  • Use a ruler and protractor to figure out the transformation rules, and write the rules on your paper (choose two).
When you are finished, turn in your tessellation. Then, work on the transformations homework assignment. If you need another copy, get one off the table in the front of the room. This is due next time.

If you need practice with the transformations, use the websites below:
http://nlvm.usu.edu/en/nav/frames_asid_296_g_4_t_3.html (dilation)
http://nlvm.usu.edu/en/nav/frames_asid_298_g_4_t_3.html%22%3Ehttp://nlvm.usu.edu/en/nav/frames_asid_298_g_4_t_3.html%3C/a%3E %28reflection (reflection)
http://nlvm.usu.edu/en/nav/frames_asid_300_g_4_t_3.html%22%3Ehttp://nlvm.usu.edu/en/nav/frames_asid_300_g_4_t_3.html%3C/a%3E %28rotation (rotation)
http://nlvm.usu.edu/en/nav/frames_asid_302_g_4_t_3.html (translation)

Thursday, September 30, 2010

Transformations assignment: personal business cards

*NOTE* This assignment is required for Pre-AP, and is an extra-credit option for my regular geometry students.

 Assignment, part 1: Make a business card for yourself. It must include your name and examples of at least 3 of the 4 types of transformations. The transformations must be exact! You can use Paint, PowerPoint, Flash, or any other program you like, or do it on paper and then take a picture of it or scan it in. Be creative! All images must be original. I did my example (below) in PowerPoint, using word art and the "auto shapes."
business card example (image)

Assignment, part 2: Once you have your image, place it in a Geogebra file. (http://www.geogebra.org)Use the transformations tools to figure out the transformation rules, and label them (see my example below).
business card example (in geogebra)

Once you finish, take a printscreen of your geogebra file and save it in Paint. You should now have two image files - your original and the print screen from geogebra. Make sure that both file names include your name, and put them both in my drop box (S:\\NTHS\shared\students\Holland Drop Box). This assignment is due by the end of class Tuesday, Oct. 4 (pre-AP students only).

Sunday, September 26, 2010

Transformations Project: company logos

logosexample
(click the picture to see it larger)
You'll need to find an example of each of the four transformations (rotation, reflection, translation, dilation) in company logos. You can take your own pictures around town or use google images, but you may NOT use Chevron, Target, BP, or McDonalds.

Once you have the four images, place them one in each quadrant of a geogebra (download from http://www.geogebra.org/ ) file as I have done here.

Then, use the coordinate grid in geogebra and the transformation tools to figure out the transformation rule for each one. Type each rule directly into your geogebra file.

  • Pre-AP students must include all FOUR transformation rules. 
  • Regular geometry students may write the rules for whichever TWO transformations they choose.

Work individually, please.

When you finish, please take a print screen of your geogebra screen, making sure that all images and transformations rules show at once. Then go into Paint and hist "paste" or Control V. Save the image as "logo_[your name]." Then, put it in my drop box: S:\\NTHS\shared\students\Holland Drop Box.

If you need to practice and learn more about how the transformations work, try these websites:
http://nlvm.usu.edu/en/nav/frames_asid_296_g_4_t_3.html (dilation)
http://nlvm.usu.edu/en/nav/frames_asid_298_g_4_t_3.html (reflection)
http://nlvm.usu.edu/en/nav/frames_asid_300_g_4_t_3.html (rotation)
http://nlvm.usu.edu/en/nav/frames_asid_302_g_4_t_3.html (translation)

Also practice using the transformation tools in geogebra - you'll need to know how to use them for your project (which I'll tell you about later).

Here's the rubric:

logosrubric