Plane and Solid Geometry

Activity Set 5

Trainer Guide

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_TGCopyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development

Plane anD soliD GeoMetryaCtivity set #5

NGSSS K.G.2.3 NGSSS K.G.2.4 NGSSS K.G.2.5 NGSSS 1.G.3.1

Faces, Faces, and More Faces

In this activity, participants will create a “face” poster, using the multiple faces of various 3-dimensional geometric solids.

MATERIAL

• Transparency/Page: Geometric Solid Faces • Transparency/Page: Faces, Faces, and More Faces• blanktransparency• tableblocks(setof84various-sizedcones,

prisms,cylinders,cubes,andpyramids; 28blockspergrade-levelgroup)

• chartpaper(1sheetforeachgrade-levelgroup)• pencilsandcrayons

VOCABULARY

• face •triangular• sphere •pyramid• cube •rectangular• cone •octagonal• cylinder •hexagonal• square •prism

TIME: 20 minutes

introDUCe

• DisplayTransparency: Geometric Solid Faces.

• Explaintoparticipantsthatinthisactivity,they willworkingroupstomakeaposterofgeometricsolid faces, such as the ones in the transparency.

• Explainthatatracingofafaceofa3-dimensionalgeometricsolidmakesa2-dimensionalplanefigure.

• Demonstrateonablanktransparency,byplacing acubeonthetransparencyandtracingaroundtheedges of the shape, carefully following its lines.

McGraw-Hill Professional DevelopmentPlane and Solid Geometry–activity Set #5 Trans_K2_G_05

cube

square

face—the plane side of a solid shape

octagon

octagonal prism

rectangle

Geometric Solid Faces

Transparency: Geometric Solid Faces

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_TG

Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development 1

• Pickupthegeometricsolidtodisplaythetracing andexplainthatyouhavemadea2-dimensionalplanefigureof1solidface(square).

• Explainthatparticipantswillworkingrade-levelgroups to modify the activity for various levels ofgeometricawarenessandskill.

• DisplayTransparency: Faces, Faces, and More Faces.

• Explainthatthekindergartengroupwillmakeafaceposter with a single face tracing for each geometric solid.Thegrade1postercanincludemultiplefacesfrom the geometric solids. The grade 2 poster will requiresomeplanningbecauseitwillincludemultiplefaces that form a design.

• Explain,iftimeallows,thatafterthefacepostersarecompleted, the grade-level groups will do a follow-up activity with the posters and geometric solids.

DisCUss anD Do

• Askparticipantstoformgrade-levelgroups.

• Giveeachgroupasheetofchartpaper,abagofgeometric solids, and pencils or crayons.

• Askeachgrouptotraceatleast1facefromeachgeometric solid on their faces posters.

• Askparticipantstonamethegeometricsolidthatthey select and to discuss with each other the shape attributesandpositionontheposterastheywork on the face poster.

• Giveparticipants10–15minutestotracethefaces on the poster.

ConClUDe

• Havearepresentativefromeachgrade-levelgroupdisplay its faces poster with the whole group. Then, returnthepostertothegrouptable.

• Askthegroupstoputbackallthegeometricsolidsintothebags,sotheywillnotbeabletoseethem.

McGraw-Hill Professional DevelopmentPlane and Solid Geometry–activity Set #5 Trans_K2_G_05

Kindergarten Group

Grade 1

Grade 2

Faces, Faces, and More Faces

Transparency: Faces, Faces, and More Faces

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_TG

Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development 2

Plane anD soliD GeoMetryaCtivity set #5

Plane anD soliD GeoMetryaCtivity set #5

• Askoneparticipantatatimetoreachintothebag,withoutlooking,andpulloutonegeometricsolid.Askthemtonameitandmatchittoafaceon the poster.

• Passthebagtothenextpersonandrepeattheprocedure several times.

• Discusswithparticipantstheconnectionbetweenthesurfaceareaofasolidfigure(themeasureofthetotalareaofallthefacesofthesolid)anditsnet.

teaCHinG tiP: Young children should be encouraged to use geometry vocabulary as they complete a face-tracing activity. Model the language by saying “side, corner, side, corner, side, corner, side, corner” as a square is being traced. Then, have students count the sides and corners that were traced. Students also may know corners as “vertices” (or a vertex).

end of Faces, Faces, and More Faces

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_TG

Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development 3

Geometric Frameworks

Inthisactivity,participantswillbuildframesofgeometric solids with hands-on manipulatives.

MATERIAL

• Transparency/Page: Geometric Framework Vocabulary Review

• Transparency/Page: Geometric Frames• Frameworks,largeset(5sets,1pergroup)• pencilsandcrayons

VOCABULARY

• angle• edge• face• vertex(pl.vertices)

TIME: 20 minutes

introDUCe

• DisplayTransparency: Geometric Framework Vocabulary Review.

• Remindparticipantsthat:

an edgeisalinesegmentformedbytheintersection of 2 faces of a solid figure

a face is the plane side of a solid shape

a vertexisapointformedby2sidesofaplanepolygonorapointformedby3ormoreedges of a solid figure

verticesisthepluralofvertex

McGraw-Hill Professional DevelopmentPlane and Solid Geometry–activity Set #5 Trans_K2_G_05

edge A line segment formed by the intersection of 2 faces of a solid figure.

face The plane side of a solid shape.

vertex A point formed by 2 sides of a plane polygon or apoint formed by 3 or more edges of a solid figure.

Geometric Framework vocabulary review

vertex

edge

face

Transparency: Geometric Framework Vocabulary Review

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_TG

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Plane anD soliD GeoMetryaCtivity set #5

• Explaintoparticipantsthatinthisactivity,theywillworkingroupstobuildframesofgeometricsolids.(Trainersshouldholdupanexampleofageometricsolidcreatedfromtheframeworkmanipulatives.)

• Explainthattheplaneshapeframessnaptogetherwith other frames to construct a 3-dimensional frame of a geometric solid.

• Demonstratebysnapping4different-colored,triangle-shapeframestogethertobuildapyramid.

• Explainthattheframeallowsstudentstosee inside the solid figures to see the angles, edges, faces, and vertices.

• DisplayTransparency: Geometric Frames.

• Fillintheinformationonthepyramidthatyoumade in the demonstration.

Drawtheshapeorwritethenamepyramidin theGeometricSolidcolumn.

DrawatriangleshapeintheFaceShapecolumn.

Countthenumberoffacesandrecord thenumber.(4)

Countthenumberofedgesandrecord thenumber.(6)

Countthenumberofverticesandrecord thenumber.(4)

DisCUss anD Do

• Haveparticipantslocatetheir Geometric Frames page.

• Askthemtoworkingroupsof6–8people.

• DistributetheFrameworksmanipulativesto each group.

• Giveparticipants10–15minutestobuildoneormore geometric solid frames and then record the information on the handout.

McGraw-Hill Professional DevelopmentPlane and Solid Geometry–activity Set #5 Trans_K2_G_05

1. Build a geometric solid frame with the manipulatives.2. Draw or name the solid shape.3. Draw or name the face shapes used.4. Count the number of faces. 5. Count the number of edges.6. Count the number of vertices.7. Record the information for each geometric solid frame.

Geometric Frames

GeometricSolid

Face Shape

Number ofFaces

Number ofEdges

Number ofVertices

Transparency: Geometric Frames

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_TG

Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development 5

Plane anD soliD GeoMetryaCtivity set #5

Plane anD soliD GeoMetryaCtivity set #5

ConClUDe

• Askparticipantsifanyonecountedmorethan 6facesontheirgeometricsolidframes.

• Askparticipantswhoanswertodisplaytheirsolidframeandshareinformationaboutthenumber of faces, edges, and vertices of the solid.

• Askthegroupstoshareinformationaboutallthegeometricframesthatwerebuiltwithothersin the group.

• PointouttoparticipantsthatthistypeofactivitypreparesK–2studentstoconstructandanalyze morecomplexsolidfiguresingeometry.

• Discuss,ifdesired,Euclid’sformulawithparticipants.Explaintheformula: vertices+faces=edges+2(V + F = E+2),orsee if participants can derive it themselves from the data in their Geometric Frames recording sheets.

end of Geometric Frameworks

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_TG

Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development 6

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_PMCopyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development

cube

square

face—the plane side of a solid shape

octagon

octagonal prism

rectangle

Geometric Solid Faces

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_PMCopyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development

Kindergarten Group

Grade 1

Grade 2

Faces, Faces, and More Faces

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_PMCopyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development

edge A line segment formed by the intersection of 2 faces of a solid figure.

face The plane side of a solid shape.

vertex A point formed by 2 sides of a plane polygon or a point formed by 3 or more edges of a solid figure.

Geometric Framework Vocabulary Review

vertex

edge

face

Plane and Solid Geometry—activity Set 5 Pri_Geo_05_PMCopyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development

1. Build a geometric solid frame with the manipulatives. 2. Draw or name the solid shape. 3. Draw or name the face shapes used. 4. Count the number of faces. 5. Count the number of edges. 6. Count the number of vertices. 7. Record the information for each geometric solid frame.

Geometric Frames

Geometric Solid

Face Shape

Number of Faces

Number of Edges

Number of Vertices