Lesson Plan
Translation, Rotation, Reflection

The
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Lesson Plan  includes
some online activities Click on the blue links.
Abstract
This lesson is designed to introduce students to translations, reflections, and rotations.
Objectives
Upon completion of this lesson, students will:
* have been introduced to the concepts of translation, reflection, and rotation.
* have practiced translating, reflecting, and rotating twodimensional objects on the coordinate plane.

THIS
SITE USES interactive DIAGRAMS THAT
STUDENTS CAN MOVE SO THAT THEY CAN SEE THE EFFECTS.
In this series, you will study the four geometric
transformations—rotations, reflections, translations, and glide
reflections—as a mathematician would: learning how they are defined,
what they change, what they don't change, and how they are related to
each other.

Develop
your transformations skills. You will be able change shapes using
rotations, reflections, translations or enlargements  and your mouse.
This is at Mathsnet.
An excellent interactive resource.
Other interactive resources here
The link above leads to http://standards.nctm.org/document/eexamples/chap6/6.4/index.htm
It is described as
"Rotations;
translations, or slides; and reflections, or flips, are geometric
transformations that change an object's position or orientation but not
its shape or size. The interactive
figures in this fourpart example allow a user to
manipulate a shape and observe its behavior under a particular
transformation or composition of transformations."

An interesting concept "
This lesson allows students to explore the concepts of reflections,
translations, and rotations while working their way through a
snowboarding course. Students will also learn about M. C. Escher and
view some of his artwork. Students will ultimately create a geometric
design which they can incorporate into a graphic of a jacket." Online
activities at PBS Cyberschool.


Translations
and Rotations
Reflections
and Glide Reflections

Transformations
Examples of reflections, rotations and translations and explanations of
terms.
from primaryschool.com.au
 lots of great ideas on tessellations and tangrams too.

This site allows the
demonstration of the following
Interactive.

Ezgeometry
page  lots of links

A Disney named site called "Thirteen
org"
 Students explore the relationships
among geometric transformations (translations, reflections,
rotations, and dilations), tessellations (tilings), and congruence
and similarity.
 Students investigate and describe
geometry in nature and realworld applications.
 Students design a tessellation.
eg. Has a great site for making
tessellated patterns. Called Kali
Interactive.
Not all the links work but some excellent
ones worth exploring to see if they fit!

Some of the most fascinating tilings are the
socalled wallpaper tilings. These tilings are so symmetric that they
can be built up by starting with a single tile by following simple sets
of rules. But perhaps the most interesting thing about the wallpaper
tilings is that there are exactly seventeen of them! Interactive.

An excellent site with great
interactive resources at the
Math Interactive Site. R  12! Includes a great section on the
topic!

Another interactive site. A
great geometry resource. Lots of shapes that can be manipulated. The
Archytech organization. Useful as "Students will use a pattern
block applet written by Jacobo Bulaevsky to reinforce the idea of
rotational symmetry." Point out the rotation tool for the applet.
An activity is here.
The starting point for this activity was here.

This one lets you rotate and
flip shapes http://www.galaxy.gmu.edu/~devsuper/test8/geojrmain.html
Dr. Super! Give problems too.

Some tangram puzzles using interactive
materials at http://standards.nctm.org/document/eexamples/chap4/4.4/index.htm
"Describing
figures and visualizing what they look like when they are transformed
through rotations or flips or are put together or taken apart in
different ways are important aspects of geometry."
Also here http://standards.nctm.org/document/eexamples/chap6/6.4/index.htm
A "must
see" site http://illuminations.nctm.org/imath/index.html
See this for other activities.






Resources
Lots of geometry links http://www.gvsu.edu/math/students/geomsites.html
Varnelles introduction
to geometry  an excellent resource.
Geometry
sites on the internet  a resource.
An excellent site
called "Introduction to the World of Virtual Manipulatives. Key
Sites to Explore" is at http://inet.paterson.k12.nj.us/~pps/math/mathstuff.htm
Educational
Sites  Math
Geometry students can use these Java apps to explore transformations
such as translations, reflections, etc.
www.rcas.org/websites/esitesmath.htm
Transformation of a
pentagon
http://www.ies.co.jp/math/products/geo1/applets/gokaku/gokaku.html

Topic: Transformations and
symmetry
Topic: Reflection
Topic: Translation
Topic: Rotation
Topic: Glide
Topic: Dilation
Topic: Tessellations
Topic: Construction and loci
From
http://mathforum.org/mathtools/cell.html?rc=tool 
Also transformational
geometry Also called slides, flips, and
turns
Updates
Wayne
May 2004
