ive net - maasigmaa.maa.org/mcst/documents/nets.pdfinspirational texts/ resources “meet the...

PositiveNETResults

MathFest2018Sarah&LanceBryantShippensburgAreaMathCirclefor4thand5thGraders

ElevatorIntroUs&OurMathCircle

NetsActivityCaveat:

Thereismoreherethanyoucouldpossiblydoina1houror1.5hoursession.That’sok.

Beingover-preparedwithinterestingstuffisRine.

Butalso…youshouldbereadytobesidelinedbyeven*more*interestingquestionsfromyourparticipants.

InspirationalPurchase

LearningResourcesRealWorldFoldingGeometricShape

$27amazon.com

InspirationalTexts/Resources

InspirationalTexts/Resources

InspirationalTexts/Resources

InspirationalTexts/Resources

“MeettheCube”

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

Warm-upUsesixtoothpickstomakefourtrianglesofequalsizeandequalshape

IntroWhatisacube?

Howcanwedrawacubeonpaper?

Howisthisadrawingofacube?

Ashapewithsixidenticalsquarefaces

Let’scallthisanet-a2D“unfolded”versionofa3Dshape

RealShapes

QuickDrawDrawthreedifferentnetsforacube.CanyouRindmore?

Whenaretwonetsdifferent?

OnlineAppsontheSmartboardFindthenets

ColoringCubeshttps://nrich.maths.org/1140https://www.nctm.org/Classroom-Resources/

Illuminations/Interactives/Cube-Nets/

Let’sWonderDoesevery3Dshape(polyhedron)haveanet?

Let’sPlayWhatwouldthenetofaRubik’scubelooklike?Howwouldthepuzzleworkifweplayedwiththenet?

https://nrich.maths.org/cubicnet

Nets:LotsofConnections!

• MathKangaroo

•  Zometool

•  Origami•  Euler’sFormula

Edges,Vertices,Faces

Paperfolding

Processofelimination3Dobjects

Thanks!LanceBryantlebryant@ship.edu

SarahBryantbryants@dickinson.edu