transformations! translations, reflections, and rotations (also known as slides, flips, and turns)...
TRANSCRIPT
Transformations!Translations, Reflections, and
Rotations (also known as Slides, Flips, and Turns)
Mel BalserEME 4401
November 7, 2007
Free powerpoint template: www.brainybetty.com2
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.
Free powerpoint template: www.brainybetty.com3
Materials
• Computer• SmartBoard and accessories
(markers, eraser, etc)• Internet access• Video Camera• Editing Software (such as
iMovie)
Free powerpoint template: www.brainybetty.com4
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!
Free powerpoint template: www.brainybetty.com5
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.
Free powerpoint template: www.brainybetty.com6
What is a translation?
M.C. Escher
Butterfly Wing Close-up
Free powerpoint template: www.brainybetty.com7
What is a translation?
• Translate these objects however you want!
Example:
Free powerpoint template: www.brainybetty.com8
What is a translation?
• What are some examples of translations that you have seen?
Free powerpoint template: www.brainybetty.com9
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.
Free powerpoint template: www.brainybetty.com10
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
Free powerpoint template: www.brainybetty.com11
What is a reflection?
• Can you flip these objects over the line of reflection?
Example:
Free powerpoint template: www.brainybetty.com12
What is a reflection?
• What are some examples of reflections that you have seen?
Free powerpoint template: www.brainybetty.com13
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.
Free powerpoint template: www.brainybetty.com14
What is a rotation?
• Rotations are made clockwise or counterclockwise
Check this out!
Free powerpoint template: www.brainybetty.com15
What is a rotation?
• Can you rotate these objects?• Example:
Free powerpoint template: www.brainybetty.com16
What is a rotation?
• What are some examples of rotations that you have seen?
Free powerpoint template: www.brainybetty.com17
Let’s make it a bit more interactive…
•Geoboard Practice•Play Golf! Try and Make Par!
•The Less Moves, the Better!
Free powerpoint template: www.brainybetty.com18
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.