Translation, Rotation, Reflection
I used here.
|Lesson Plan - includes
some online activities Click on the blue links.
This lesson is designed to introduce students to translations, reflections, and rotations.
Upon completion of this lesson, students will:
* have been introduced to the concepts of translation, reflection, and rotation.
* have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.
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
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
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 four-part 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.
and Glide Reflections
Examples of reflections, rotations and translations and explanations of
- lots of great ideas on tessellations and tangrams too.
|This site allows the
demonstration of the following
page - lots of links
A Disney named site called "Thirteen
- Students explore the relationships
among geometric transformations (translations, reflections,
rotations, and dilations), tessellations (tilings), and congruence
- Students investigate and describe
geometry in nature and real-world applications.
- Students design a tessellation.
eg. Has a great site for making
tessellated patterns. Called Kali
Not all the links work but some excellent
ones worth exploring to see if they fit!
Some of the most fascinating tilings are the
so-called 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
|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
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
see" site http://illuminations.nctm.org/imath/index.html
See this for other activities.
Lots of geometry links http://www.gvsu.edu/math/students/geomsites.html
to geometry - an excellent resource.
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
Sites - Math
Geometry students can use these Java apps to explore transformations
such as translations, reflections, etc.
Transformation of a
Topic: Transformations and
Topic: Construction and loci
Also called slides, flips, and