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Positive NET Results MathFest 2018 Sarah & Lance Bryant Shippensburg Area Math Circle for 4 th and 5 th Graders

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Page 1: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

PositiveNETResults

MathFest2018Sarah&LanceBryantShippensburgAreaMathCirclefor4thand5thGraders

Page 2: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

ElevatorIntroUs&OurMathCircle

Page 3: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish
Page 4: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

NetsActivityCaveat:

Thereismoreherethanyoucouldpossiblydoina1houror1.5hoursession.That’sok.

Beingover-preparedwithinterestingstuffisRine.

Butalso…youshouldbereadytobesidelinedbyeven*more*interestingquestionsfromyourparticipants.

Page 5: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

InspirationalPurchase

LearningResourcesRealWorldFoldingGeometricShape

$27amazon.com

Page 6: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

InspirationalTexts/Resources

Page 7: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

InspirationalTexts/Resources

Page 8: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

InspirationalTexts/Resources

Page 9: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

InspirationalTexts/Resources

“MeettheCube”

Page 10: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

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

Page 11: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

Warm-upUsesixtoothpickstomakefourtrianglesofequalsizeandequalshape

Page 12: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

IntroWhatisacube?

Howcanwedrawacubeonpaper?

Howisthisadrawingofacube?

Ashapewithsixidenticalsquarefaces

Let’scallthisanet-a2D“unfolded”versionofa3Dshape

Page 13: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

RealShapes

Page 14: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

QuickDrawDrawthreedifferentnetsforacube.CanyouRindmore?

Whenaretwonetsdifferent?

Page 15: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

OnlineAppsontheSmartboardFindthenets

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

Illuminations/Interactives/Cube-Nets/

Page 16: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

Let’sWonderDoesevery3Dshape(polyhedron)haveanet?

Page 17: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

Let’sPlayWhatwouldthenetofaRubik’scubelooklike?Howwouldthepuzzleworkifweplayedwiththenet?

https://nrich.maths.org/cubicnet

Page 18: ive NET - MAAsigmaa.maa.org/mcst/documents/NETS.pdfInspirational Texts/ Resources “Meet the Cube” Activity Day 0 Warm-up: Six toothpicks, four triangles 0 Intro: Draw a cube! Establish

Nets:LotsofConnections!

• MathKangaroo

•  Zometool

•  Origami•  Euler’sFormula

Edges,Vertices,Faces

Paperfolding

Processofelimination3Dobjects