


 The
Topic:
 Patterns

 Easier  Patterns are
things that repeat over and over. Patterns can be sets
of objects, actions, or characteristics. They are
things that are arranged or occur naturally. Examples
of patterns are a set or combination of repeated
lines, colors, letters, numbers, shapes, forms,
figures, and actions or behaviors. You can find many
patterns in nature such as honey combs and snow
flakes.

 Harder  A pattern
can be a sample, a guide, or model that someone copies
such as a pattern for a foundry casting, a machine
part, or a piece of clothing. Patterns are also the
typical activities of a thing, a person, or a group.
Events or qualities can happen in the same way or in
the same order. Things sometimes behave according to a
pattern. A pattern occurs or can be used over and over
again.

 Patterns
by S. Alejandre from MathForum
 http://www.rialto.k12.ca.us/frisbie/patterns.html
 This linkssite contains information on a wide
array of patterns.
 Note: Above site has broken links but is
still a useful collection.
 Another Website from the MathForum:
 2) Symmetry and Pattern: The Art of Oriental
Carpets http://mathforum.org/geometry/rugs/index.html
 Related LinksSites:
 3) Investigating Patterns: Symmetry and
Tessellations http://ccins.camosun.bc.ca/~jbritton/jbsymteslk.htm
 4) Number Patterns: Fun with Curves & Topology
http://ccins.camosun.bc.ca/~jbritton/jbfunpatt.htm
 5) Patterns, Patterns Everywhere http://cte.jhu.edu/techacademy/web/2000/heal/index.htm

 Patterns
from Utah Education Network's Themepark
 http://www.uen.org/themepark/html/patterns/
 A pattern whether part of nature, representing
mathematical concepts, or imbedded in art relies upon
three characteristics: a motif or unit, repetition,
and a system of organization.

 Patterns
in Mathematics from D. Cohen, the
Mathman
 http://www.shout.net/~mathman/html/patterns.html
 Some people say that mathematics is the science of
patterns. That's not a bad description. Not only do
patterns take many forms over the range of school
mathematics, they are also a unifying theme.
 Related Sites:
 2) Chaos Theory and Patterns from Ask A
Scientist: Mathematics Archive
 http://newton.dep.anl.gov/askasci/math99/math99004.htm
 3) Patterns in Mathematics from Ask
Jeeves
 http://www.learner.org/teacherslab/math/patterns/index.html

 What
is a 'Natural' Pattern? by I. Alexander
 http://easyweb.easynet.co.uk/~iany/patterns/natural.htm
 The whole of human scientific and artistic
endeavor can be seen as the attempt to discover
pattern in nature.
 Related Website:
 2) Fibonacci Numbers and Nature (Advanced Level)
by R. Knott
 http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
 3) Finding Out How the Patterns of Nature Develop
from ScienceNet
 http://www.sciencenet.org.uk/slup/CuttingEdge/Sep01/patterns.html
 4) Patterns in Nature from Sir Robert Hitcham's
Primary School
 http://atschool.eduweb.co.uk/sirrobhitch.suffolk/patterns_nature/index.htm
 5) Patterns in Nature: Rhythms of Life (Advanced
Level) by R. Pellegrino
 http://www.microweb.com/ronpell/PatternsInNature.html

 After visiting several of the
websites, complete one or more of the
following activities.

 Create Kaleidoscope Designs
Online. Follow the instructions found
at Kaleidoscope
Painter (Javascript Capability
Required) by F. Permadi.

 Identify Some Patterns. Print
out (1) Dinosaur
Patterns from Enchanted
Learning. Then circle the animal that
comes next in the pattern. Also you may
want to try (2) Which
One Comes Next? from Suessville
University, (3) What
Comes Next? from mathSURF, and
(4) Pattern
Mania from Primary Games.

 Create Music Patterns. Go to
Pattern
Builder from Harcourt School
Publishers and explore creating and
listening to your own music patterns.

 Explore Some Wallpaper Designs.
Create wallpaper patterns at Java
Kali by M. Phillips from Geometry
Center (Requires Java
Capabilities).

 See If You Can Construct A
FaultFree Wall. See how you do with
the Brick
Activity from the Math Forum.
Use dominoes for handson exploration.
What is the smallest faultfree wall that
you can construct, remember the wall has
to be a square or rectangle and you cannot
cut these "bricks."

 Complete A Patterns WebQuest.
Follow or adapt the procedures found at
the following webQuest sites:
 1) BeadQuest (Grade 3) by S. Kimmel
http://www.guilford.k12.nc.us/webquests/beadquest/beadquest.htm
 2) Patterns in Nature WebQuest (Grades
48) by J. Wilson
 http://www.webandflow.com/members/jwilson3/pattern/webquest.htm
 3) Patterns of Poetry by E. Gorman
(Grade 6)
 http://www.sinc.sunysb.edu/Stu/egorman/poetrywebquest1.html
 4) Webquest on Patterns http://www2.corvallis.k12.or.us/lincoln/Webquests/patterns/Webquest.htm

 Make A Ukrainian Egg. (Advanced
Level) Note that this activity involves
heating and melting wax over a flame an
should not be completed by young learners
without direct supervision. But if you are
interested in learning or just in viewing
these neatly patterned eggs, visit
How
to Make Ukrainain Easter Eggs
(Pysanky) by A. Morash and Georgia's
Ukranian Easter Eggs. Click on any
design and you'll be taken to the
instructions for it.

 Create A Hex Sign. The
"Pennsylvania Dutch" or "Pennsylvania
Germans", best known as the "fancy" Dutch,
created beautiful folk art type designs
commonly referred to as "hex signs." These
signs were painted on barns and houses.
This is a very old art form and the
precise significance of the shapes and
colors is not known for certain. You can
find the instructions for creating your
own at Design
and Paint Your Own Hex Sign!!

 Draw Your Own Navajo Rug
Design. Navajo rugs are collected the
world over for their beauty and exquisite
craft work. Select a color scheme of two,
three, or four different colors and use
them to draw your own Navajo rug design on
10 x 10 grid paper. Find more information
at Navajo
Rugs from PrenticeHall,
Inc.

 Photograph Patterns In Nature,
Architecture, and Our Lives. Find some
examples at (1) Pattern
from Gary Luhm Photography, (2)
Patterns
in Nature from Kaufman
Photography, (3) Patterns
in Nature (Slide showBe patient, Slow
loading site), and (4) Patterns
in Nature, a Corbis ECard
site. You also may find some subject ideas
at (5) The
Patterns in Nature by W. Lynch and A.
Lang. Then photograph your own images and
display your own collection.

 Websites By Kids For Kids
 Pattern
Palace (ThinkQuest Project)
 http://library.thinkquest.org/CR0213184/
 Read poems about patterns, find out about
symmetry, tessellations, fractals, and palindromes,
and have fun with the royalty of Pattern Kingdom.

 More Websites
 Cinquain
Poetry
 http://teams.lacoe.edu/documentation/classrooms/amy/algebra/56/activities/poetry/cinquain.html
 Learn the pattern used in a cinquain, a five line
poem.
 Related Website:
 2) A MAZE : The Cinquain Journal by L.J.
Cohen
 http://www.amazecinquain.com/front.html
 Another Poetry Pattern:
 3) Diamante Poetry
 http://teams.lacoe.edu/documentation/classrooms/amy/algebra/56/activities/poetry/diamante.html

 M.C.
Escher  Life and Work from National
Gallery of Art
 http://www.nga.gov/collection/gallery/ggescher/ggeschermain1.html
 Wander the four virtual rooms devoted to the art
of M.C. Escher.

 Musical
Patterns (Advanced Level) by B. Hammel
 http://graham.main.nc.us/~bhammel/MUSIC/compose.html
 This is an essay on patterns in musical
composition transformations, mathematical groups, and
the nature of musical substance.

 Repetition
 http://www.english.upenn.edu/~afilreis/88/repetition.html
 Here is a detailed look at how repetition of a
sound, syllable, word, phrase, line, stanza, or
metrical pattern is a basic unifying device in all
poetry.

 Those
Amazing Palindromes by S. Bacchus from
University of Georgia
 http://jwilson.coe.uga.edu/emt669/Student.Folders/Bacchus.Mohamed/pal/pal.html
 Here you find some history of the palindrome, a
few examples, and the mathematical proof.

 Websites For Teachers
 Calculator
Pattern Puzzles by A. Holsten
 http://www.coled.org/cur/math/math06.txt
 This lesson was designed to allow young children
to explore number patterns and relationships while
introducing them to the calculator at the same
time.

 Emergent
Literacy: Building Patterns, Solving Problems
(Grades K1)
 http://www.lite.iwarp.com/cra2000.html#patterns
 This thematic unit plan directs students to
locate, explore and create patterns with shapes and
text.

 Math
Patterns in Children's Literature (PreK to
Grade 2) from Carol Hurst's Children's Literature
Site
 http://www.carolhurst.com/subjects/math/patterns.html
 In problem solving, facility with patterns enables
children to see the important information in a
realworld math problem, how the various pieces of
information relate to each other, and the
possibilities for predicting the outcome.

 Patterns
 http://www.tlp.on.ca/DICE/DICE6_Group_4/index.htm
 This patterns project involved teachers from three
different schools across several grade levels and a
variety of subject areas: music, science, social
science, mathematics, and social studies.
 Related Website:
 2) Patterns Exist in All Aspects of Life (Scroll
down for entire content) http://www.op97.k12.il.us/instruct/Iarts/Patterns/index.html

 Patterns
in Music and Math from Family Education
Network, Inc.'s TeacherVison
 http://www.teachervision.com/lessonplans/lesson10343.html
 Students learn how to solve music and math
problems by finding patterns.
 Related Lesson Plan:
 2) Math/Patterns (K  Grade 1) by A. Lund from
Lesson Plans Page
 http://www.lessonplanspage.com/MusicMathPatterns.htm

 Patterns
in Nature by P. Welsh from Access
Excellence
 http://www.accessexcellence.org/AE/AEC/AEF/1995/welch_patterns.html
 In this interdisciplinary learning project,
students research patterns in nature which illustrate
biological and mathematical concepts. They design
group projects that model these concepts in a
cooperative setting with fourth graders.

 Patterns
in Nature from Boston University, Center
for Polymer Studies
 http://polymer.bu.edu/pins/index.html
 These activities encourage students to explore how
fundamentally random microscopic events can give rise
to fractal macroscopic patterns.

 Patterns
in Nature Booklet (Grades K3) from
CanTeach
 http://www.canteach.ca/elementary/pattern4.html
 Students will examine patterns on objects in
nature, then use rubbings of these patterns to create
pattern booklets.

 Patterns
Here, There and Everywhere by A. Hanlin &
B. Amundrud
 http://mathcentral.uregina.ca/RR/database/RR.09.96/hanlin1.html
 The goal for this lesson is an understanding of
numbers, patterns, counting, and operations.

pattern

shape

linear pattern

nonlinear pattern

concentric

repetition

procedure

poetry

routine

symmetry

branch

number
system

M. C. Escher

palindrome

predict

microscopy

spiral

maze

stripe

ambigram

polygon

tessellation

circle

kaleidoscope

set of actions

inversion

ray

recognition

cryptography

characteristics

fractal

sample

observation

guide

model

motif




 Created by
Annette
Lamb and
Larry
Johnson,
10/02.
