Dear
Educators of the World,
In
my experience of using this website with my classes I find outcomes are achieved
more effectively when the children have a focus. I tend to let them explore the
site first and then give them a series of questions and tasks to complete.
So
here are some questions and tasks that you might like to include in a 'Learning
Quest', 'Webquest' or 'Scavenger Hunt' based on this website. Feel free to copy
and paste whatever you need into a word processing document and create a guide
that will cater for the needs of your students.
NB There are Bloom's
Taxonomy, de Bono's Thinking Hats and TABA activities and tasks towards the bottom of this page.
Once
you've experienced the site, make sure you take a walk into the real world and
look for examples of symmetry. You may be surprised by just how much symmetry
your students find with their newly trained eyes.
Best of Luck with
it.
Adrian
The
Home Page  Symmetry Around the World Project

How would you define the term 'line symmetry'?
 Why might some people see line symmetry as a thing
of beauty?
Page
2  The Butterfly
 Is the butterfly animation worth the wait? Why do you think this way? 

Page
3  Symmetry at the Beach

List 3 animals that have line symmetry on this page.
 Why do you think that this type of symmetry is
sometimes called reflectional symmetry?
 What is the technical name for the dividing line
in this type of symmetry?
Page
4  Symmetry in the Animal Kingdom

Sketch your favourite animal from this page and draw in its line of symmetry.
 What
are the criteria for living thing to be an animal?
 Is a fish an animal? Why?
Page
5  Symmetry of Masks

Using only isosceles triangles design/draw a mask that has one line of symmetry
from forehead to chin.

Which of these masks would you most liked to make? Why?
Page
6  The Proportions of Man

Given that this drawing by Leonardo da Vinci is a great work of art, comment on
the appropriateness of
this image for demonstrating symmetry in the human form to your age group.
 List 4 other parts of the body that have reflective symmetry that are not
mentioned on this page.
Page
7  Reflections in Water
 Do you consider this image to have a line of symmetry? Why or why not?
 Is the line
of symmetry along the horizontal or vertical axis?

Page
8  The Taj Mahal

Do a simple line drawing of one of the photographs of this building and draw in
the lines of symmetry.

From memory, draw a famous building from your country that has line symmetry. 

Write a question about this page that will demand at least ten minutes of thought
or research to answer.

When you die would you like to be buried in a tomb like this? Why or why not?
Page
9  Symmetry and Regular 2D Shapes

How could you prove that a square really does have 4 lines of symmetry and not
2.
 A
rectangle has 4 lines of symmetry. True or False? How could you prove it?
 What pattern
can you see emerging on this page?
Page
10  Rotational Symmetry
 How would you define the term 'rotational symmetry'?
 Find a playing deck and look at the picture cards.Which
ones have rotational symmetry?
Page
11  Challenge One

Have a go at the challenge on this page.
Page
12  Challenge Two

Place your mouse pointer on each of the challenge solutions to see what we think.
 List each objects
order of rotation?
Page
13  The Symmetry of Hubcaps

Do you agree with our answers on each of the hubcaps?
 Where else in a car would you find objects with
rotational symmetry?
Page
14  The Symmetry of Kaleidoscopes

If you have a kaleidoscope at home, bring it in for your class to view intricate
patterns with
rotational symmetry.
Page
15  Flips, Slides and Turns

Invent a board game that would help a child between the ages of 6 and 9 to
learn about flips,
slides and turns.
Page
16  The Symmetry of Letters
 What would be the purpose of exploring each of the letters of the alphabet for
their
symmetrical
properties?
Page
17  The Symmetry of Advertising
 Using either newpapers or magazines
find some advertising logos that have line symmetry and rotational symmetry.
 Make a class book or wall display of the examples you find.
 Do any on
the TV stations in your country use symmetry in their logos?
The Ink Blots Page
 What can you see in each of our
ink blots? (Please, no butterflies).
 How many lines of symmetry can you
see in each ink blot?
 Challenge  Try to make an ink blot with more than
2 lines of symmetry. Is it possible?
The
Plug Page

Write down your hypothesis as to why plug holes are round and not square?
 Organise an email to an expert to ask them why plug holes are round and not
square.
The
Rugs Page

Find a rug in your school and sketch the symmetrical patterns.
 Design your
own colourful rug that uses symmetrical patterns.
 Use a piece of computer
software to design your rug.
The
Biological Hazard Symbol

This symbol is used in hospitals a lot. Where in the hospital and why?
The Say Gidday Page

What does the Mark Twain quote mean to you?
 Why might the creators of this
page have had to put it there.
 The teacher who made this page now lives
in Byron Bay Australia. Where is Australia?
 Send a message of thanks to
Australia using this page.
Stained
Glass Page

Sketch a piece of stained glass from your community.
 Why might people include
symmetry in windows of this kind?
The
Symmetry Challenge Game

Many argue that this game wastes class time as the children spend way too long
on it. Others feel that it is good to interact with the site and that way you
learn more about symmetry by doing something. What is your opinion? Should it
stay or should it go? Why?
 Your task is to make this game more challenging
by writing up some rules.
Dot
Paper Challenge

Create an artwork that is both complex and beautiful using the method outlined
on this page.
 Limit yourself to 2, 3 or 4 colours if you wish.
Face
Challenge

Take a digital photo of one of your friends. MAKE SURE you are directly
face on. Print out the picture, cut it in half vertically and then complete the
activity the way this page shows you.
'Some faces are more symmetrical
than others.' Is this True?

Why are the faces so different?
 Try this task in a piece of photo manipulation software.Paint.NET is really good and free. :)
Bloom's
Taxonomy Questions
Knowledge
 After viewing and interacting
with this site I now know that symmetry is...
 In your own words, what is
line symmetry?
 In your own words, what is rotational symmetry?
 Sketch
an object from the natural world and draw in its line of symmetry.

Write down 5 facts about symmetry that you have learnt by viewing this site.
 What is the best example of line symmetry on this site?
Comprehension
 List 5 examples of line symmetry found in your classroom or lounge
room.
 What is the difference between line symmetry and rotational
symmetry.
 Write a brief summary of this website for your school newsletter.
Application

Construct a model by folding paper that will demonstrate an aspect of symmetry.
 Create a storybook for a younger grade to explain line symmetry.
 Create
a jigsaw puzzle that uses a symmetrical pattern. Make sure the pieces have rotational
symmetry of order 2 or 4.
 Design a badge for your class that has both line
symmetry and rotational symmetry.
Analysis

Design a quick quiz to see if your classmates have fully understood the concepts
presented on this website.
 Compare this website to a page in an old maths
text book. Which is the most effective way of teaching? Why?
Synthesis

Design and make a game that will reinforce the symmetry concepts outlined on this
site.
 Create a comic strip where all the symmetrical objects from your school
have disappeared. What are the implications? What might be funny? What might be
serious?
 Made up a new code for the alphabet using only symmetrical characters.
Send positive messages to your friends.
 Create new and unusual uses for
a (symmetrical object).
 How would you check that your friends have gained
the knowledge required by your country's/state's math syllabus?
Evaluation

Create a list of criteria to judge a website. Apply this list to this website.
Indicate priority and ratings.
 Do you feel this website is effective or
ineffective? Why?
 Write a letter to the website creators advising them of
examples of symmetry that they may have overlooked
and you think are important.
 Do you think the study of symmetry is relevant or irrelevant in a modern
education? Why or why not?
 An authority figure in your school community
doesn't believe this website is a good way to learn but you do. Defend your position.
General
Questions

How are line symmetry and rotational symmetry alike and different?

What do you think was the main purpose of our class putting together this site?
 What
do you think are the benefits for a class of learning about symmetry by making
web pages?

What changes do you feel need to be made to this symmetry site?

Who would you recommend this site to?

Go into the playground and find a natural object that has symmetry then sketch
it.

Write a question about this site that will take your friends about 10 minutes
to answer.

Write a question about this site that will take your friends about 10 seconds
to answer.
Reflection
Questions

Write down one question you still have regarding symmetry after viewing this site.

Why do you think you need to learn about symmetry?

Each child writes an anonymous question to be answered next lesson.
de
BoNo's HaTs

List ten facts that you either found interesting or didn't know before you visited
our Symmetry Webpage.

These pages were created by Yr 6 students in Australia. How does this make you
feel?
 What
do you think are the positives of learning about symmetry using this Internet
site?

What do you think our class gained by working on this multimedia presentation?
 List 5 good
points about this learning resource.
 What do you feel have been the benefits to you
of using this page?

What critical comments can you make as a result of viewing our site?
 You might like to consider: layout, knowledge,
appropriateness to age group, too structured, too
many........, problem solving .......
Taba
Questions

One this website the authors have focused on the natural and built world.
What else could they have focused on?
 How sucessful was this site in teaching
your class about symmetry? How can you find out?
 What is a completely different
way to use this website?
 If you had to invent a new word for symmetry, what
would it be? Why?
 What do you mean when you say 'symmetry'?
 What do
you mean when you say 'rotational symmetry'?
 Maths teachers love this website
because... Give 3 examples.
 What 5 pages would you group together on a wall
display in your room because they are alike?
 Why do you think the teacher
who made this site did all this work?
 What was your reaction to the page
that has the flipped faces joined together? What are your thoughts? How do the
photos make you feel?