Process

Part 1: Defining Geometric TransformationS

Geometric transformation is the movement of a shape to a different position. There are two basic types of transformations - rigid transformation and non-rigid transformations. With rigid transformation the size and shape remains the same as the object is transformed, producing congruent figures. With non-rigid transformation the shape remains the same, but the size changes, producing similar figures.

You will begin by learning about the four types of transformations. Click on the paper icon to download the document to take notes on each types. Use the websites below in your search. Be sure to upload your work to Drive when you are finished.

Notes Template

WEBSITES

Transformations

http://www.mathsisfun.com/geometry/transformations.html
http://www.regentsprep.org/Regents/math/geometry/GT5/reviewTranformations.htm

Translations

http://www.mathsisfun.com/geometry/translation.html
http://www.regentsprep.org/Regents/math/geometry/GT2/Trans.htm

Reflections
http://www.mathsisfun.com/geometry/reflection.html
http://www.regentsprep.org/Regents/math/geometry/GT1/reflect.htm

Rotations
http://www.mathsisfun.com/geometry/rotation.html
http://www.regentsprep.org/Regents/math/geometry/GT4/Rotate.htm

Dilations
http://www.mathsisfun.com/geometry/resizing.html
http://www.regentsprep.org/Regents/math/geometry/GT3/Ldilate2.htm

Part 2: Exploring with viritual manipulatives

listen to ‘WebquestPart2’ on Audioboo

On the following National Library of Virtual Manipulatives select:

Transformations - Dilations
Transformations - Reflections
Transformations - Rotations
Transformations - Translations

Follow the instructions on each screen.

http://www.ct4me.net/images/VirtualManipulatives.jpg

Part 3: Transformations on the coordinate plane

listen to ‘WebquestPart3’ on Audioboo

Practice with the Math Playground
You will use Math Playground to practice transformations on the coordinate plane. Be sure to follow the instructions on the right hand side. Note: Once you select a transformation, there is a sliderbar underneath the change to the units.

Part 4: tutorials for graphing on a coordinate plane

listen to ‘WebquestPart4’ on Audioboo

Video Tutorials

Using the information from your practice in Parts 2 and 3 and the video tutorials, complete your notes. Click on the paper icon to download the template for your notes. Be sure to save your notes in Google Drive.

Translations
https://www.youtube.com/watch?v=XdjH_EWhCZ0

Reflections
https://www.youtube.com/watch?v=j1X_UIOvEwA&list=TLz6gMCkmgq8Ue0VQcwz3fUmnc6DeB39D6

Rotation
https://www.youtube.com/watch?v=QIidsuO7UDQ&index=3&list=TLz6gMCkmgq8Ue0VQcwz3fUmnc6DeB39D6

Dilations
https://www.youtube.com/watch?v=mWrvZdxQ0_A

Notes Template

Part 5: Identifying real life examples

listen to ‘WebquestPart5’ on Audioboo

Your final project will be to identify real life examples of geometric transformations. To get started watch the videos below.

https://www.youtube.com/watch?v=rtNRWfbdehM

https://www.youtube.com/watch?v=5TMpGQ2w1HA

Now it's your turn

Video Presentation
In this project you will take pictures or videos of real life examples of the four geometric transformations that you learned about. Click on the icon for instructions and rubric.

A Complex Machine
Chose a complex machine and analyze all the geometic transformations that are instrumentation in that machine functioning. Click on the icon for instructions and rubric.

Create a Rube Goldberg Machine
Rube Goldberg machines are contraptions that uses chain reactions to take a simple task and make it complex. You can create a Rube Goldberg Machine that incorporates all four geometric transformations. Click on the icon for instructions and rubric.

Transformations In Art
Art work, such as the picture in the Introduction screen of this webquest, are filled with geometric transformations. You can create a unique work of art, or use the Amalgamations from Transformations project, that incorporates all four geometric transformations. Click on the icon for instructions and rubric.

Evaluation