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Watersheds and Rivers Fractals are SMART: Science, Math & Art! www.FractalFoundation.org Copyright 2016 Fractal Foundation, all rights reserved 1 Overview In this exercise, students learn about fractal rivers, create their own watershed and discover what a watershed is. This activity wraps up with students creating their own fractal design using pipe cleaners. Appropriate for: grades K – 12, college and adults Objectives • To analyze fractal patterns in natural landscapes • To understand what a watershed is and create one • To create a map of their created watershed • To apply creativity in designing a fractal pattern Materials • Watersheds and Rivers worksheet • Pencil • Two options o garbage bag with edges cut so it is one large rectangle and a few students’ shoes and/or backpacks, or o a piece of paper per student and a marker • Spray bottle(s) with water • Pipe cleaners – some the original length, some cut in half, some cut quarter length Method for watershed activity You can do this as one large group with a plastic bag and spray bottle of water or have each student create their own watershed (more fun for everyone). If you’re doing this as a large group, lay out a large plastic bag whose edges have been cut so it is now one wide, long sheet of plastic. Have kids create a landscape under it using their shoes and backpacks. Make it rain on the landscape using a spray water bottle. For each student to create their own watershed, have each student crumples up their sheet of paper (not too much!) and then un-crumple it. Once your sheet of paper is open, mark the ridges of your paper or tops of the mountains of your watershed with a marker. Then see what happens when you spray water on the landscape (again, not too much!).

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Page 1: Watersheds and Rivers - Fractal Foundation · 2018-01-28 · • Spray bottle(s) with water • Pipe cleaners – some the original length, some cut in half, some cut quarter length

WatershedsandRivers

FractalsareSMART:Science,Math&Art!www.FractalFoundation.org

Copyright2016FractalFoundation,allrightsreserved

1

OverviewInthisexercise,studentslearnaboutfractalrivers,createtheirownwatershedanddiscoverwhatawatershedis.Thisactivitywrapsupwithstudentscreatingtheirownfractaldesignusingpipecleaners.Appropriatefor:gradesK–12,collegeandadultsObjectives

• Toanalyzefractalpatternsinnaturallandscapes

• Tounderstandwhatawatershedisandcreateone

• Tocreateamapoftheircreatedwatershed• Toapplycreativityindesigningafractal

pattern

Materials • WatershedsandRiversworksheet• Pencil• Twooptions

o garbagebagwithedgescutsoitisonelargerectangleandafewstudents’shoesand/orbackpacks,or

o apieceofpaperperstudentandamarker• Spraybottle(s)withwater• Pipecleaners–sometheoriginallength,somecutinhalf,somecutquarterlength

MethodforwatershedactivityYoucandothisasonelargegroupwithaplasticbagandspraybottleofwaterorhaveeachstudentcreatetheirownwatershed(morefunforeveryone).Ifyou’redoingthisasalargegroup,layoutalargeplasticbagwhoseedgeshavebeencutsoitisnowonewide,longsheetofplastic.Havekidscreatealandscapeunderitusingtheirshoesandbackpacks.Makeitrainonthelandscapeusingaspraywaterbottle.Foreachstudenttocreatetheirownwatershed,haveeachstudentcrumplesuptheirsheetofpaper(nottoomuch!)andthenun-crumpleit.Onceyoursheetofpaperisopen,marktheridgesofyourpaperortopsofthemountainsofyourwatershedwithamarker.Thenseewhathappenswhenyouspraywateronthelandscape(again,nottoomuch!).

Page 2: Watersheds and Rivers - Fractal Foundation · 2018-01-28 · • Spray bottle(s) with water • Pipe cleaners – some the original length, some cut in half, some cut quarter length

WatershedsandRivers

FractalsareSMART:Science,Math&Art!www.FractalFoundation.org

Copyright2016FractalFoundation,allrightsreserved

2

DiscussionSeewhathappenstothewater–wheredoesitgo?Wherearethehighpoints(mountainsandridges)andwherearethelowpoints(valleys,riversandlakes)?Canyoumapoutthewatershedofoneofoneriverorlake?Methodforactivitywithpipecleaners Haveeachstudentorsmallgroupsofstudents(2or3maximum)maketheirownfractaldesignwithpipecleanersthatwouldmaximizetheareacoveredbypipecleanersonyourdesk.Eachstudentgetsfourwholepipecleaners,eighthalf-sizedpipecleanersand16quarter-sizedpipecleaners.Afterwards,theclasswilljudgewhoorwhatteamcreatedthebestdesign.Usethedesignsintheworksheettohelpyoucreateyourdesign.

Page 3: Watersheds and Rivers - Fractal Foundation · 2018-01-28 · • Spray bottle(s) with water • Pipe cleaners – some the original length, some cut in half, some cut quarter length

WatershedsandRivers

FractalsareSMART:Science,Math&Art!www.FractalFoundation.org

Copyright2016FractalFoundation,allrightsreserved

3

CommonCoreStandardsforMathematics

CommonCoreStandardsforEnglishLanguageArts

Code Standard Grade Code Standard GradeOA OperationsandAlgebraic

Thinking5 G Geometry K–7

MD MeasurementandData 3 RP RatiosandProportionalRelationships

6,7

Code Standard GradesK–5 Grades6–8 Grades9–12RL Reading:Literature 1,4,7,10 1,4,7,10 1,4,10RI Reading:

InformationalText1,3,4,7,10 1,3,4,7,10 1,3,4,10

FS FoundationalSkills 1,2,3forgradesK–1;3and4forgrades2–5

Noneavailable Noneavailable

W Writing 2,3,8;4forgrades3–5 2,3,4 2,3,4,9SL Speakingand

Listening1,2,3,4,5,6 1,2,3,4,5,6 1,2,3,4,5,6

L Language 1,4,6;3forgrades2–5 1,3,4,6 1,3,4,6RST Scienceand

TechnicalSubjectsNoneavailable 1,3,4,6,7,10 2,3,4,6,7,10


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