ive net - maasigmaa.maa.org/mcst/documents/nets.pdfinspirational texts/ resources “meet the...
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PositiveNETResults
MathFest2018Sarah&LanceBryantShippensburgAreaMathCirclefor4thand5thGraders
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ElevatorIntroUs&OurMathCircle
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NetsActivityCaveat:
Thereismoreherethanyoucouldpossiblydoina1houror1.5hoursession.That’sok.
Beingover-preparedwithinterestingstuffisRine.
Butalso…youshouldbereadytobesidelinedbyeven*more*interestingquestionsfromyourparticipants.
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InspirationalPurchase
LearningResourcesRealWorldFoldingGeometricShape
$27amazon.com
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InspirationalTexts/Resources
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InspirationalTexts/Resources
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InspirationalTexts/Resources
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InspirationalTexts/Resources
“MeettheCube”
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ActivityDay0 Warm-up:Sixtoothpicks,fourtriangles0 Intro:Drawacube!Establishsomevocabularyterms0 RealShapes:Ingroupsmatchthenet(s)totheobject[sneaky:onenetismissing]
0 QuickDraw:Sketchatleast3netsforacube…aretheremore?0 OnlineApp:Whichisacubenet?Dowehavethemall?0 Let’sWonder:Doesevery3Dshape(polyhedron)haveanet?0 Let’sPlay:OnlineappnetversionofRubik’scube
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Warm-upUsesixtoothpickstomakefourtrianglesofequalsizeandequalshape
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IntroWhatisacube?
Howcanwedrawacubeonpaper?
Howisthisadrawingofacube?
Ashapewithsixidenticalsquarefaces
Let’scallthisanet-a2D“unfolded”versionofa3Dshape
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RealShapes
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QuickDrawDrawthreedifferentnetsforacube.CanyouRindmore?
Whenaretwonetsdifferent?
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OnlineAppsontheSmartboardFindthenets
ColoringCubeshttps://nrich.maths.org/1140https://www.nctm.org/Classroom-Resources/
Illuminations/Interactives/Cube-Nets/
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Let’sWonderDoesevery3Dshape(polyhedron)haveanet?
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Let’sPlayWhatwouldthenetofaRubik’scubelooklike?Howwouldthepuzzleworkifweplayedwiththenet?
https://nrich.maths.org/cubicnet
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Nets:LotsofConnections!
• MathKangaroo
• Zometool
• Origami• Euler’sFormula
Edges,Vertices,Faces
Paperfolding
Processofelimination3Dobjects