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Transformations

Please read through the first two website and answer all the questions. After reading through the second webpage click on the link that says "Take A Quiz", please answer all these questions too. Remember that when you find an answer that helps you with your handout stop and answer it. Please explore the rest of the links on this page to help you understand the concept better, especially the next 4 links, and the PowerPoint/Slide presentations.

1. Transformations - a Flash movie which demonstrates flips, slides, and turns
2. Transformations - a very good definition is found here, along with great flash movies demonstrating what a transformation is.

• Printable - Transformations Notes Page (pdf) - Print this page so that students can take notes while they view the webpages.

Transformations - Reflection – Dynamically interact with and see the result of a reflection transformation.

Transformations - Rotation – Dynamically interact with and see the result of a rotation transformation.

Transformations - Translation – Dynamically interact with and see the result of a translation transformation.

Transformations - Composition – Explore the effect of applying a composition of translation, rotation, and reflection transformations to objects.

• Source: http://nlvm.usu.edu/en/nav/ category_g_3_t_3.html

Motion in Geometry

Transformations

Symmetry, Rotation, Translation, Reflection

Geometric Transformations

Web list

33.01 The Coordinate Plane - Translation Designs with Ordered Pairs

http://argyll.epsb.ca/jreed/math7/strand3/3301.htm

33.02 Transformations

http://argyll.epsb.ca/jreed/math7/strand3/3302.htm

• Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
• Flip, Slide, or Turn - six flash movies allow you to watch the path an object takes while it is being transformed
• Flips, Slides, and Turns - a manipulative which allows you to view the effect of applying reflection, translation, and rotation transformations
• Mathsnet Transformations - [this link opens on a new page] interactive site. a collection of approaches to this topic to offer you a choice. All require Java and a recent browser.
• Sam's Similar Shapes - [this link opens on a new page] Students learn about shapes that are different sizes but the same shape. ( Author - Paulette Boggs )
• Spy Guys Interactive - Slides and Flips - Click Skip Intro , then select Lessons , and then click on Lesson 17
• Transformations - [ designed for 7th grade ] how to identify, describe, perform, and analyze transformations involving translations, reflections, and rotations
• Further investigating reflections, rotations, and translations
  http://www.utc.edu/~cpmawata/transformations/translations/ - Read through this site. Be sure to click on each of these words.
  .translation
  .reflection
  .rotation
  Then write what happend when you followed the instructions with each section.
• Transformation Study Guide
  http://www.tyler.sprnet.org/Schools/Moore/Teachers/Gandy/Gandy/sgtransformation.htm - Use this site for researching slide, reflection, and rotation.
• Introduction to Isometries
  http://www.scienceu.com/library/articles/isometries/ - Use this site for researching slide, reflection, and rotation.
• Translation, Reflection, Rotation
  http://www.mathquest.com/library/drmath/view/57839.html - Use this site for researching slide, reflection, and rotation.
• National Library of Virtual Manipulatives
  http://nlvm.usu.edu/en/nav/category_g_3_t_3.html - These are colorful, interactive manipulatives to experiment with.  Scroll to the bottom of this list and try all 4 of the basic transformations: dilation, reflection, rotation and translation.  If you find the basic transformations too easy, try the composite transformations.
• Elizabethan Blackwork
  http://www.blackworkarchives.com/bw_variations.html - Look at these different embroidery patterns for more examples of the use of geometric transformations.
• Transformations in Coordinate Geometry - Translations
  http://regentsprep.org/Regents/math/cotran/trans.htm - Read over the page below.  Answer the following questions.
• NCTM's site Visualizing Transformations
  http://standards.nctm.org/document/eexamples/chap6/6.4/

Math Movies

Transformations