mte3103_lam-pt09-gvg02(2).docx

8/14/2019 MTE3103_LAM-PT09-gvg02(2).docx

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LAM-PT09-02

Februari 2008 1

RANCANGAN PENGAJARAN DAN PEMBELAJARAN MINGGUAN

PROGRAM: PISMP-IPGM SEMESTER: DUA TAHUN: 2009

Kursus: Geometry Kod: MTE3103 Kredit: 3(2+1)

Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M122 Jun 09

(1500-1700)

24 Jun 2009(1500-1700)

Plane tessellationsTypes oftessellations Using one

shape Using two or

more shapes Tessellation

and art Escher type

tessellation

Introduction toplane tessellations

Types oftessellations

Tessellationand art: Eschertype tessellation

Discussion of keyideas in geometry:intersection, measuresof length, angles,parallelism,perpendicularity,congruence, similarity,symmetry (line androtational), and typesof transformation

Familiarisation withbasic commands inthe use of GSP Construct

points,segments andlines (parallelandperpendicular)

Construct basicshapes(polygons)

Briefing on coursecontent, reflectivelog, project work andevaluationSearch the internetfor examples oftessellation involving

a. one shapeb. two shapec. Escher type

Individual weeklyreflective logs are to besubmitted to lecturer Resources: Coxford,

(1996) Geometryfrom Multipleperspectives. Pp 111

Galtrey & Pool.(1996) Shape, spaceand measures I, pp3138, 41 - 54

Tandatangan Pensyarah Tandatangan Ketua Jabatan

(Nama : OTHMAN BIN ZAKARIA ) (Nama : )

Tarikh : 26 Jun 2009 Tarikh:


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Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M201 Jul. 09

(1400-1600)

02 Jul. 09(1100-1300)

Plane tessellationsTessellation and art Escher type

tessellation

Fractal geometry Introduction to

fractal Fractal trees

Introduction tofractals

Fractal tree

Hand-on activity:Using potato printingto create Escher typetessellations (potatostamps)

Use GSP to createand explore basictransformation(rotation, reflection,translation andglide reflection)

Read the articles statedbelow:1. GeometryFractals

by Bass, Charles,Johnson & Kennedy(2002). Pp 525-539

. GSP Learning Guide(Version 4.06) Tour 8:Constructing asnowflakeIteration;Understanding theKoch Curve

Reader articles:1. Groves S. (2006) The work

of M. C. Escher pp 63-802. Emst (1994) The Magic

Mirror of M> C. Escher.Activity 4.7 and 4.8 pp 81-84

Addendum: Emst (1994)Potato-printing, A game forwinter Evenings, pp 9-11

Resource Materials:1. Bass L. E, Charles R. I,

Johnson A. & Kennedy D.(2002) GeometryFractals, Pearson, PrinticeHall pp 525-539

2. GSP Learning Guide(Version 4.06) Tour 8:Constructing a snowflake -Iteration; Understandingthe Koch Curve


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LAM-PT09-02

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Tarikh : 03 Julai 2009 Tarikh:


4/16

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Februari 2008 4




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M308 Jul. 09

(1400-1600)

09 Jul. 09(1100-1300)

&11 Jul. 09

(1100-1300)

Plane tessellationsFractal geometry

Plane symmetries

andtransformations

Isometry of theplaneRotationReflectionTranslationGlide reflection

The fourisometries of theplane

Exploring fractalsusing GSP: FolderFractalGallery/Sketches/samples

Using GSP tocreate and exploretessellations usingrotation, reflection,translation andglide reflection

In group, search forexamples of patterns thatinvolve rotation,reflection, translation andglide reflection in yourinstitution. Take pictureand comment on thepatterns

Resource: GSP 4.06

Resource materials:1. Grooves S. (2006).

Symmetries andtransformations in theplane pp 72-107



Tarikh: 11 Julai 2009 Tarikh:


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LAM-PT09-02

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Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M4

15 Jul. 09(1400-1600)

&16 Jul. 09

(1100-1300)

Plane symmetriesand

transformations

Plane symmetry

Plane symmetry Do Exercise 4.1, 4.2and Activity 4.6 in

Groves S (2006) pp76-80

In pairs, plan todevelop a tool kit

for tessellation andisometry of theplane usingrotation, reflection,translation andglide reflection

Individual planning ofExercise 4.1, 4.2 and

Activity 4.6 in Groves S.(2006) pp 76-80

Resource materials:

Grooves S. (2006).Symmetries andtransformations in theplane pp 76-80





6/16

LAM-PT09-02

Februari 2008 6




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M522 Jul. 09

(1400-1600)&

23 Jul. 09(1100-1300)

Plane symmetriesandtransformations

Finite symmetrygroups andseven Friezepatterns

Finitesymmetrygroup

The cyclic &dihedralgroups

In groups, presentexercise 4.12 fromGroves S. (2006) pp

93

Develop a tool kitfor tessellation andisometry of the

plane

Discuss and planpresentation of Exercise4.12 from Groves S.

(2006) pp 93

Resource materials:

Ranucci & Teeters (1977).Plane Symmetry

Grooves S. (2006).Symmetries andtransformations in the planepp 76





7/16

LAM-PT09-02

Februari 2008 7




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M629 Jul. 09

(1400-1600)&

30 Jul. 09(1100-1300)

Plane symmetriesand

transformations

Finite symmetrygroups and

seven Friezepatterns

Regular and semi-regular solids

Five platonicsolids

Friezes, iron lacework and

other patterns

The five Platonic solids

Convex regularpolyhedral

Schlafli symbols

Constructing the platonicsolids from nets

Nets and models

Create as manynets as possiblefor the five

platonic solids

Paperconstruction ofthe five platonicsolids

Construct thefive platonicsolids andsubmit forassessment

Complete Activity5.1 on pp 113-114from Grooves S.

(2006)

Resource material:1. Groves S. (2006). Paterns

in the plane pp 95-104 Ex.4.15, Activity 4.9

2. Groves S. (2006). Regularand semi-regular solids-Topic 5

Reader articles:1. Kepler and the platonic

solids by A. Adller (1967)2. Polygons & polyhedra by J.

Simpson (1975)3. Nets with polyhedron by J.

Russell. (19996)



Tarikh: 01 Ogos 2009 Tarikh:


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LAM-PT09-02

Februari 2008 8




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M705 Aug. 09

(1400-1600)&

06 Aug. 09(1100-1300)


Vertices, faceand edges

Archimedeansolids

Vertices, face and edges

The dual of the Platonicsolids

Archimedean solids

Regular prisms and antiprisms

Do Activity 5.3,5.4, 5.5 fromGrooves S.

(2006) pp 115-119

Paper constructionof Archimedeansolids

Construct thefollowing:

A truncatedtetrahedron, atruncated cube anda truncatedicosahedrons fromthe nets andtemplate

Classify thepolyhedra usingcode as stated in

the articlePolygons andpolyhedra by JSimpson (1975)

Resource material:1. Groves S. (2006). Regular

and semi-regular solids pp

115-119

Reader articles:1. Polyhedra: A visual

approach by A Pugh(1976)

2. Polygons & Polyhedra byJ. Simpson (1975)



Tarikh: 07 August 2009 Tarikh:


9/16

LAM-PT09-02

Februari 2008 9




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M8

12 Aug. 09(1400-1600)

&13 Aug. 09

(1100-1300)


Kepler-Poinsotsolids

Characteristics of theKepler-Poinsot solids

The small stellateddodecahedron and thegreat stellateddodecahedron

Compare andcontrass Platonic

solids andArchimedeanpolyhedra

Construction ofKeper-Poinsot

solidsConstruct selectedKepler-Poinsotsolids andinvestigate theirproperties

Read the articlePolyhedron

modelsby M. J.Wenninger (1971)

Resource material:1. Groves S. (2006).

Regular and semi-regular solids pp 119-121

Reader article:1. Polyhedron modelsby

M. J. Wenninger (1971)





10/16

LAM-PT09-02

Februari 2008 10




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M917 Aug. 09HINGGA

21 Aug. 09

PENGALAMAN BERASASKAN SEKOLAH





11/16

LAM-PT09-02

Februari 2008 11




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M1002 Sept. 09(1400-1600)

&03 Sept. 09(1100-1300)

Geometrymodeling

Paper engineering Making pop-up

models

Getting startedpop-uptechniques

Basic paper foldingtechniques

Hill fold Valley fold

Parallel fold

Angled fold

Present thesamples

collected andexplain the paperfoldingtechniques usedto produce thesamples

Produce a pop-upcard using basic

paper foldingtechniques

Collect samplesof paper

engineeringproducts

Resource material:1. Groves S. (2006).

Paper Engineering pp125-129

2. Shell Centre forMathematicalEducation: Be a PaperEngineer-TeachersGuide



Tarikh: 04 September 2009 Tarikh:


12/16

LAM-PT09-02

Februari 2008 12




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M1109 Sept. 09(1400-1600)

&10 Sept. 09(1100-1300)

Geometry

modelingPaper engineering

Creating yourown originaldesigns

Paperengineering inthe classroom

Developing your idea for a

pop-up

Plan your pop-up

paperengineeringproject

Produce a high

quality pop-upproject using atleast 3 differenttechniques

Plan exhibition of

GSP toolkit fortessellation &isometry, potatoprinting and thepaperengineeringproject

Resource material:

3. Groves S. (2006).Paper Engineering pp125-129

4. Shell Centre forMathematicalEducation: Be a PaperEngineer-TeachersGuide





13/16

LAM-PT09-02

Februari 2008 13




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M1216 Sept. 09(1400-1600)

&17 Sept. 09(1100-1300)

ConicsLocus

Exploring conics usingGSP:Locus

Explore GSP4.06\GSP 4.06\set up& samples GSP

4.06\sketchpad\samples\sketches\conics

Explore GSP 4.06 MFolder:samples/sketches/geometry.gsp and do aprintout

Explore conicsusing GSP: locus

Plan exhibition ofGSP toolkit fortessellation &

isometry, potatoprinting and thepaperengineeringproject

GSP 4.06 M Folder:samples/sketches/geometry.gsp

GSP 4.06\GSP 4.06\set up &samples GSP4.06\sketchpad\samples\sketches\conics





14/16

LAM-PT09-02

Februari 2008 14




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M1330 Sept. 09(1400-1600)

&01 Okt. 09

(0800-1000)

ConicsParabola

Exploring conicsusing GSP:

Parabola

Explore GSP 4.06\GSP4.06\set up & samples GSP4.06\sketchpad\samples\custo

m tools\sample tools

Explore GSP4.06\GSP\sketch3\samples\sketch\analytic\Parabtan

Explore GSP 4.06 M Folder:samples/sketches/geometry.gsp and do a printout

Explore conicsusing GSP:parabola



GSP 4.06\GSP 4.06\set up &samples GSP4.06\sketchpad\samples\custo

m tools\sample tools

Explore GSP4.06\GSP\sketch3\samples\sketch\analytic\Parabtan

Explore GSP 4.06 M Folder:samples/sketches.conics/unified conic.gsp



Tarikh: 02 Oktober 2009 Tarikh:


15/16

LAM-PT09-02

Februari 2008 15




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M1407 Okt. 09

(1400-1600)&08 Okt. 09

(0800-1000)

ConicsEllipse andHyperbola

Exploring conicsusing GSP:

Ellipse and

Hyperbola

Explore GSP4.06\GSP\sketch3\samples\sketch\Triconi\3conics


Explore conicsusing GSP: ellipseand hyperbola



GSP4.06\GSP\sketch3\samples\sketch\Triconi\3conics






16/16

LAM-PT09-02

Februari 2008 16




Minggu/Tarikh

Tajuk danKandungan

Kuliah1500 - 1600

(1 jam)

Tutorial1600 - 1700

(1 jam)

Amali1500 1700

(2 jam)

ISL(2 jam)

Catatan

M1514 Okt. 09

(1400-1600)&15 Okt. 09

(0800-1000)

ConicsParabolaEllipse

Hyperbola

Using GSP toexploreransformations on

parabola, ellipseand hyperbola


Exhibition of GSPtoolkit fortessellation &

isometry, potatoprinting and thepaper engineeringproject







mte3103_lam-pt09-gvg02(2).docx

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