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1Translations, Rotations, & Reflections
Teacher Notes
Subject: Math
Topic: Geometry and Motion
Title: Translations, Rotations, and Reflections
Grade(s): 4 and 5
PA Academic Standard: Math 2.9.5.K
Intended learning outcomes• Students recognize translations, rotations, and reflections in 2D figures.• Students identify translations, rotations, and reflections in real world objects. • Students construct their own translations, rotations, and reflections.
Recommended usage: It is recommended that slides 114 be used as the introductory lesson, and that the later slides be used either as enrichment or challenge activities.
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Windows(R) operating system software.
Submitted by John SwartsGr. 4 Kennedy Elem.
Translations, Rotations, and Reflections
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ACTIVITY OVERVIEW
Page 4: Converting old vocabulary into new vocabularyPage 5: Defining TranslationsPage 6: ExamplesPage 7: Creating TranslationsPage 8: Defining RotationsPage 9: ExamplesPage 10: Creating RotationsPage 11: Defining ReflectionsPage 12: ExamplesPage 13: Creating ReflectionsPage 14: Identify real world translations, rotations,
and reflectionsPage 15: Some interactive online activities
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Terms you already know:
Now becomes
Now becomes
Now becomes
Slide
Turn
Flip
Old words New words
Translation
Rotation
Reflection
(drag to reveal New Word)
(drag to reveal New Word)(drag to reveal New Word)
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Translations can be close together...
or far apart.
They can slide diagonally from each other.
The figure changes in no other way.
(click and delete to reveal next rule)
(click and delete to reveal next rule) (click and delete to reveal next rule)
119
Rotations always turn around a single point... and can
rotate a little bit...
or a lot. They can even rotate around a point that does NOT touch the figure.
(click and delete to reveal next rule)
(click and delete to reveal next rule) (click and delete to reveal next rule)
1210
Using the Dot boards to help you, drag the shape and turn using the green handle to create a Rotation.
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Reflections can be close to or touch the line...
or they can be far from the line.
The line can be drawn in any direction...
or not drawn at all.
(click and delete to reveal next rule)
(click and delete to reveal next rule) (click and delete to reveal next rule)
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Using the Dot boards to help you, choose which image would correctly complete the Reflection.
A B
DC
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Can you find Translations, Rotations, and Reflections in real life?
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1 2
6
4
5
Answers1. Windows Translation2. Quilt Rotation3. Washington Monument Reflection4. Pinwheel Rotation5. Train Tracks Translation6. Comic + Mirror Reflection
(Click and delete to reveal answers)
1715
Now, use the graph paper to create a Translation, Rotation, and Reflection.
You may choose the shape you use, but you must have one of each type of transformation labeled...also make sure your beginning shape is labeled.
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Now, use the online pattern blocks to create a Translation, Rotation, and Reflection.