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Transformations!Translations, Reflections, and
Rotations (also known as Slides, Flips, and Turns)
Mel BalserEME 4401
November 7, 2007
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Sunshine State Standardsand
National Educational Technology
Standards • MA.C.2.2.2: The student visualizes and
illustrates ways in which shapes can be combined, subdivided, and changed - predicts, illustrates, and verifies which figures could result from a flip, slide, or turn of a given figure.
• Technology productivity tools – Students use technology tools to enhance learning,
increase productivity, and promote creativity. – Students use productivity tools to collaborate in
constructing technology-enhanced models, prepare publications, and produce other creative works.
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Materials
• Computer• SmartBoard and accessories
(markers, eraser, etc)• Internet access• Video Camera• Editing Software (such as
iMovie)
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What is a transformation?
• A transformation is a change in the position or size of an object
• Movements that do not change the size or shape of the object moved are called “rigid transformations”
• There are three types of rigid transformations: Translations, Reflections, and Rotations. These are more commonly referred to as Slides, Flips, and Turns.
• To learn more about each, check this out!
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What is a translation?• Take one step in any direction• You have just “translated” yourself!• More commonly known as “slides”• A translation "slides" an object a fixed
distance in a given direction. • The original object and its translation
(known as the image) have the same shape and size, and they face in the same direction.
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What is a translation?
M.C. Escher
Butterfly Wing Close-up
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What is a translation?
• Translate these objects however you want!
Example:
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What is a translation?
• What are some examples of translations that you have seen?
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What is a reflection?• Take a look in the mirror.• You are staring at a reflection of
yourself!• More commonly known as “flips”• An object and its reflection have the
same shape and size, but the figures face in opposite directions.
• A reflection can be seen in water, in a mirror, in glass, or in a shiny surface.
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What is a reflection?• A reflection can be thought of as flipping
an object over the line of reflection
In water
In a mirror
In glassIn a shiny surface
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What is a reflection?
• Can you flip these objects over the line of reflection?
Example:
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What is a reflection?
• What are some examples of reflections that you have seen?
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What is a rotation?• Turn yourself to the right• You have just rotated yourself!• Commonly known as turns• A rotation is a transformation that turns
a figure about a fixed point called the center of rotation.
• An object and its rotation are the same shape and size, but the figures may be turned in different directions.
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What is a rotation?
• Rotations are made clockwise or counterclockwise
Check this out!
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What is a rotation?
• Can you rotate these objects?• Example:
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What is a rotation?
• What are some examples of rotations that you have seen?
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Let’s make it a bit more interactive…
•Geoboard Practice•Play Golf! Try and Make Par!
•The Less Moves, the Better!
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Want to try more?• Use a video camera to go outside
and find examples of transformations in nature and around the school. Be sure to include slides, flips, AND turns in your video. Use iMovie to edit your video. Make it good! These will be presented to the class and posted on YouTube to help others in their quest to learn more about translations, reflections, and rotations.
