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

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FractalFoundationFractivities

Sierpinskitriangle–makeafractaltrianglecomposedofsmallerandsmallertrianglesTetrahedron–constructalarge,complextetrahedronoutofmarshmallowsandtoothpicksCutoutcard-makea3-dimentionalfractalcutoutcardbyrepeatingasimpleprocessofcuttingandfoldingXaoS–usefreefractalsoftware,exploremathematicsandinteractwithfractalsinacompellingandartisticwayFractiontree–usethebranchingofatreetoexplorefractionsKochcurveandcoastlines–transformasimpleshapeintoacomplexfractalcurvebyrepeatingthesameoperationatsmallerandsmallerscalesandtrackchangestotheperimeterateachstep;applythistomeasuringcoastlinesWatershedsandrivers–learnabouthowriversarefractals,whatawatershedisandthecreateyourownfractaldesignFractaltrees–usethenaturalfractalbranchingofatreetoexplorequotientsandratiosinasimple,tangiblewayExponents–learnaboutexponents,specificallywiththebasesof2,3,4and10FibonacciSequenceandFractalSpirals–investigatetheFibonaccisequenceandhownaturalspiralsarecreated

CommonCorestandardsinK–8Mathematics(1of2)

Code Standard FractionTree

KochCurveandCoastlines

WatershedsandRivers

FractalTrees

Exponents FibonacciSequenceandSpirals

OA OperationsandAlgebraicThinking 3–5 3–5 5 4,5 4,5 K–5NBT NumberandOperationsinBaseTen 4 K–5NF NumberandOperations–Fractions 3–5 4,5 4 MD MeasurementandData 3–5 3–5 3 4,5 4,5 K–4G Geometry 3 3,5,6 K–7 4,5 5 6NS NumberSystem 6,7 6,7 6,7 6,7 7RP RatiosandProportionalRelationships 6,7 6,7 6,7 6,7 6,7 6,7EE ExpressionsandEquations 7 7 6–8 F Functions 8 8 SP StatisticsandProbability 6

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

Copyright2015FractalFoundation,allrightsreserved

CommonCorestandardsinK–8Mathematics(2of2)

CommonCorestandardsinHighSchoolMathematics

Code Standard SierpinskiTriangle Tetrahedron CutoutCard XaoSCC CountingandCardinality K K K KNBT NumberandOperationsinBaseTen K,1 K,1 K,1 K,1OA OperationsandAlgebraicThinking K–5 K–5 K–5 K–5MD MeasurementandData K–5 K–5 K–5 KG Geometry K–8 K–8 K–8 K–4NF NumberandOperations–Fractions 4 4 NS NumberSystem 6,7 6 RP RatiosandProportionalRelationships 6,7 6,7 6,7 6,7SP StatisticsandProbability 6 6 6–8 EE ExpressionsandEquations 6,7 6F Functions 8 8

Code Standard KochCurveandCoastlines

FractalTrees

Exponents

N-RN NumberandQuantity–RealNumberSystem

X

N-Q NumberandQuantity–Quantities X X A-SSE Algebra–SeeingStructureinExpressions XA-CED Algebra–CreatingEquations X XF-BF Functions–BuildingFunctions XF-LE Functions–Linear,Quadraticand

ExponentialModelsX X

Modeling Modeling X X G-MG Geometry–ModelingwithGeometry X X G-SRT Geometry–Similarity,RightTrianglesand

TrigonometryX X