Partners for Mathematics Learning - Grade One Geometry Concepts

Explore key geometry concepts for grade one mathematics learning, including shapes, classifications, and spatial reasoning. Understand the importance of developing spatial awareness and reasoning in young learners. Delve into topics such as polygons, quadrilaterals, parallelograms, rectangles, and rhombuses. Discover essential standards and vocabulary crucial for students to grasp for successful learning outcomes.

• Mathematics
• Geometry
• Grade One
• Spatial Awareness
• Shapes

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1. 1 PARTNERS forMathematicsLearning GradeOne Module4 Partners forMathematicsLearning

2. 2 WhatisGeometry? geo -meansearth metry meansmeasure Measurementoftheearth Partners forMathematicsLearning

3. 3 Weknowthat Childrendevelopspatial awarenessandreasoning overtimeasaresultof whattheyexperience Veryearlytheylearnto recognizebasicshapes evenwhentheydonot alwaysattachan appropriateterm Partners forMathematicsLearning

4. 4 EssentialStandards Classifyaccordingtogeometricattributes2-D shapesasparallelograms,rhombuses, trapezoids,andhexagonsand3-Dshapesas prismsandpyramids Comparegeometricfiguresintermsoftheir perspectives,orientations,attributes,and properties Representdifferentperspectivesand orientations,describeafigure sgeometric attributesandproperties,anddeterminehow figuresarealikeanddifferent Partners forMathematicsLearning

5. 5 WhatDoWeRemember? Turntohandout1andtakeafewminutes tocompletethechart Thinkabout:Whatwillstudentsneedto knowandbeableto doforthesestandards? Whatnewvocabulary dostudentsneedto learnthisyear? Partners forMathematicsLearning

6. 6 Polygon Closedplanefigureboundedbythreeor morelinesegmentsthatmeetonlyattheir endpoints NOTpolygons polygons 2-Dfigures Canbeclassifiedbythenumberofsides Partners forMathematicsLearning

7. 7 Quadrilateral Polygonwithfoursides Whyarethesefiguresnotquadrilaterals? Partners forMathematicsLearning

8. 8 Parallelogram Quadrilateralwithoppositesidesparallel andequalinlength Oppositeanglesarecongruent parallelograms Partners forMathematicsLearning

9. 9 Rectangle Closedfigurewithfourlinesegments,2 pairsofparallellines,andfourrightangles ( squarecorners ) NOTrectangles rectangles Studentsneedtoseerectanglesthatare rotated-notparalleltoedgeofpaper Partners forMathematicsLearning

10. 10 Rhombus(RhombusesorRhombii) Havefoursidesallhavethesamelength Closedfigurewithoppositesidesparallel Diagonalsareperpendicular NOTrhombus rhombus Partners forMathematicsLearning

11. 11 Square Hasfoursides(linesegments)allofthe samelengthaswellasfourrightangles Everysquareisarectangle Closedfigure squares Partners forMathematicsLearning

12. 12 SquaresAreRhombusesAre quadrilaterals rectangles squares rhombuses polygons Partners forMathematicsLearning

13. 13 Trapezoid Closedfigure,madeoffourlinesegments, exactlytwoofwhichareparallel(onepair ofparallelsides) Redpatternblockisanexample trapezoid NOTtrapezoid Partners forMathematicsLearning

14. 14 Hexagon Polygonwithsixsides Theyellowpatternblock(liketheredone below)isahexagon hexagons nothexagons Partners forMathematicsLearning

15. 15 AvoidingMisconceptions If isahexagon Is ahexagon? Partners forMathematicsLearning

16. 16 Two-Dimensional(2-D)Shapes Alsocalledplanefigures Shapesthatcanbecompletelyseenin oneplane(shownonaflatsurface) Circlesareplanefiguresbutarenot polygons Partners forMathematicsLearning

17. 17 Shapes,Sides,Corners,Congruent? Whatisthisshape? Howmanysides? Howmanyvertices? HowcanIcutthisshapetogettwo smallerrectangles? Arethetworectanglescongruent? Arethereotherwaystocutthisshapeto have2rectangles? Partners forMathematicsLearning

18. 18 CuttingCorners Get5indexcardsandmakestraightcuts fromonesidetoanadjacentsidetomake A.Atriangleandapentagon B.Twoquadrilateralsthataretrapezoids C.Tworectangles D.Twotriangles E.Atriangleandaquadrilateralthatisatrapezoid Howmanysidesandverticesaretherefor eachshape? Partners forMathematicsLearning

19. 19 Cutting B.. A. C. D. E. Doyourshapeshavetolookexactlylike thesetobecorrect?Whyorwhynot? Partners forMathematicsLearning

20. 20 . . . . . . . . . . . . . . . . . . . . . . ShapesonaGeoboard . .. Predicthowmanyexamplesofyourshape (differentsizeandshape)youcanmake onyourgeoboard Decidehowyouwillkeeparecord Makeashape,record,makethenext shape(reuserubberbandssothatonly onefigureatatimeisontheboard) Makeasmanydifferentexamplesasyou canusingyourgeoboard Partners forMathematicsLearning

21. 21 FashioningFour Useageoboardand rubberbandstocreate four-sidedfigures Howmanydifferent shaped,closedfigures withfoursidescanyou create? Howcouldwesortthese? Partners forMathematicsLearning

22. 22 PolygonButNotaQuadrilateral? Areallquadrilateralspolygons? Areallpolygonsquadrilaterals? Allsquaresarerectangles Areallrectanglessquares? Canthesamefigurebeaparallelogram andarectangleandarhombus? Areallpolygonsclosedfigures? Areallplanefigurespolygons? Partners forMathematicsLearning

23. 23 BigIdeaforGeometry Two-dimensionalshapesarecombinedto makethree-dimensionalshapes Partners forMathematicsLearning

24. 24 2-Dimensionalto3-Dimensional Polyhedronmeans manyfaces Edge--3-Dterm Formedwhere twofaces coincideFace 3-Dterm Aflatsurfaceon Vertex apointApolyhedron wheretwoormore(Facesarepolygons) edgesmeet Partners forMathematicsLearning

25. 25 Pyramid Hasabasethatisapolygonandsidesthat aretriangles Hasonepointatthetop,calledanapex triangularpyramid squarepyramid rectangularpyramid Partners forMathematicsLearning

26. 26 Prisms Thesearethree- dimensionalshapes whosesidesareall formedbypolygons Theyareprisms becauseends(or bases)arecongruent andsidesare parallelograms Partners forMathematicsLearning

27. 27 Three-DimensionalShapes Partners forMathematicsLearning

28. 28 BuildingonStrengths Somestudents'capabilitieswith geometricandspatialconceptsexceed theirnumberskills.Buildingonthese strengthsfostersenthusiasmfor mathematicsandprovidesacontextin whichtodevelopnumberandother mathematicsconcepts. RazelandEylon1991 forMathematicsLearning

29. 29 MoreInformation Whatvocabularywill youusewithfirst graderstoteachthis standard? Giveexamplesof vocabularyusedfor: Perspective Orientation Attribute Property Comparegeometricfigures intermsoftheir perspectives,orientations, attributes,andproperties Partners forMathematicsLearning

30. 30 OralMap Standbesideyourchair Countyourstepsoutloudasyoumove towardtheclassroomdoor Saywhichwayyouareturning Keepcountingoutloudasyoumovetothe door Howdothedirectionschangeifyougo backtoyourseatfromhere? forMathematicsLearning

31. 31 ThePathHome Placearedandagreencube onoppositesidesofthe geoboard Userubberbandstomakea pathfromonecubetothe other Describethepathorallyand haveyourpartnerrecordon dotpaperwithoutseeingyour geoboard Partners forMathematicsLearning

32. 32 OvertheWall Openafoldertomakea wall betweenyouandyourpartner Person1buildsadesignwithpatternblocks Describehowyourpartnercanmakethe samedesignontheothersideofthewall Takethewalldownandseeiftheshapes arethesame Discuss:Whatadditionaldirectionsmight yougivestudentsastheyfirstdothetask? Partners forMathematicsLearning

33. 33 DifferentPerspectives FromwhereIamstanding WhenIlookupIsee . Lookingdownmakesitlooklike Partners forMathematicsLearning

34. 34 Composeanddecompose geometricfiguresinterms oftheirperspectives, MoreInformation orientations,attributes,and properties Thisstandardhasbeen changed Whatdostudentsneedto knowandbeabletodoto masterthisstandardasit nowexists? Partners forMathematicsLearning

35. 35 PatternBlockPuzzles Chooseapuzzle Coverthepuzzlewithpatternblockpieces Howmanypiecesdidyouuse? Didsomeoneelseusemoreorless? Partners forMathematicsLearning

36. 36 GoodMoves Howdidyoubegintofillinthe puzzleoutline? Asyouworked,howdidyou decidewheretoplaceyour blocks? Didyourstrategychangeas thepuzzlebecamecloserto beingfull?Ifso,how? Partners forMathematicsLearning

37. 37 ShapeSorters Smallgroupsofstudentsaregivena collectionofgeometricsolidsandattribute blockpieces Studentsthen Groupthecollectioninseveraldifferentways Sharefindingswithinthesmallgroups Smallgroupssharesortingpossibilities together forMathematicsLearning

38. 38 TeacherLedDiscussions Askstudentstoexplaintheirsorts Directstudentstosortbyspecificcriteria Havestudentsfindthepolygonsthatare thefacesforthepolyhedra Remember-thisisayear-longactivity! Partners forMathematicsLearning

39. 39 ModelWaysToRecord Studentscanrecordtheirobservationsand comparisonsofshapes Stamping Tracing Drawing Remember-activitieswithout conversationmaynothelp childrenmakeconnections Partners forMathematicsLearning

40. 40 Two-PieceShapes Decomposing2-Dshapes Decompose Takingapart Composing2-Dshapes Composing Puttingtogether Partners forMathematicsLearning

41. 41 Two-PieceShapes Howmanydifferentwayscanyouputthe trianglestogether? Isanyshapebiggerthananother? Partners forMathematicsLearning

42. 42 BlocksWithFaces Tracearoundthefacesoneachblock Areanyofthefacesthesame? Areanyofthefacesdifferent? Howmanyfacesdoesyourblockhave? Canyoumatchthefacesyoudrewto facesonotherblocks? Partners forMathematicsLearning

43. 43 FaceMaps Afacemapofa_____________ Partners forMathematicsLearning

44. 44 MysteryShapeMaps WhosefaceamI? Partners forMathematicsLearning

45. 45 MyShapeJournal Writethenameoftheshapeontheline Tellhowyouknowthisisthenameofyour shape DrawapictureORcutapictureofyour shapefromamagazine Whatdoesyourshapelooklike? kite soupcan Partners forMathematicsLearning

46. 46 QuiltWithMe Choosefoursquares Cutsomeofthesquaresdiagonally Arrangetheshapestocoverthecard Whatshapesdoyouseeinyourquilt square? Partners forMathematicsLearning

47. 47 WhatDoYouSee? Makealistoftheshapesand geometricvocabularyillustrated inyoursquare Passyoursquaretothepersononyourright Addtothelistoftermsillustratedandkeep passing Putyoursquarestogethertomakeatable quilt Partners forMathematicsLearning

48. 48 MathFairBlues 2-and3-dimensional shapesandobjects helpSethandhis friendstobecomea hitattheMathFair Partners forMathematicsLearning

49. 49 StillCircling Whatdostudentsneedtoknowandbe abletodotomastertheseEssential Standards? Partners forMathematicsLearning

50. 50 DPIMathematicsStaff EverlyBroadway,ChiefConsultant ReneeCunninghamKittyRutherford RobinBarbourMaryH.Russell CarmellaFairJohannahMaynor AmySmith PartnersforMathematicsLearningisaMathematics-Science PartnershipProjectfundedbytheNCDepartmentofPublicInstruction. Permissionisgrantedfortheuseofthesematerialsinprofessional developmentinNorthCarolinaPartnersschooldistricts. Partners forMathematicsLearning

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