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