teacher's copy module 2 - polygons ii.doc

8/18/2019 TEACHER'S COPY MODULE 2 - POLYGONS II.doc

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MATHEMATICS

FORM 3

MODULE 2

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POLYGONS II

MINISTRY OF EDUCATION MALAYSIA


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MODULE 2: POLYGONS II

Arahan Kepada Guru:

1. Modul ini mengandungi tiga puluh enam soalan.

2. Modul merangkumi tujuh konstruk yang diuji

K1 - Memahami soalan dalam bahasa Inggeris

K3 - Memahami istilah Matematik dalam bahasa Inggeris

K5 - Menguasai konstruk pengetahuan

K - Menguasai konstruk ke!ahaman

K" - Menguasai konstruk kemahiran

K# $ Mengungkapkan idea%in!ormasi dalam bahasa Inggeris

K1& $ Memahami pengajaran dan pembelajaran dalam bahasa Inggeris

3. Guru hendaklah memastikan murid menulis maklumat diri dalam kertas ja'apan objekti! yang disediakan.

(. Guru memastikan murid menghitamkan pilihan ja'apan )objekti!* pada kertas ja'apan objekti! yang disediakan

5. Guru hendaklah menyediakan kertas ja'apan )subjekti!* yang berasingan bagi soalan 26 hingga 31.

. Guru MESTI memba+a arahan dan soalan bagi Soalan 32 hingga 36 dengan jelas. Guru boleh mengulang memba+a

soalan jika perlu. Guru hendaklah mengarahkan pelajar menja'ab dengan menghitamkan pilihan ja'apan bagi soalan

tersebut pada kertas ja'apan objekti!.

". Guru hendaklah menanda ja'apan murid diakhir ujian dan merekod jumlah bilangan soalan salah bagi setiap konstruk di

kertas ja'apan objekti! ),M* murid. Guru dikehendaki mengumpul kertas ja'apan objekti! ),M* semua murid mengikut

kelas masing-masing dan mengikut arahan selanjutnya seperti di dalam manual prosedur pengendalian ujian diagnostik.

Modul ini mengandungi 29 halaman ber+etak

2


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MODULE SUMMARYMATHEMATIC FORM 3 – POLYGONS II

Konstru

k Penerangan konstruk No Soalan

!umlah

Soalan

"il soalan gagal #ija$a%&untuk pemulihan'

sekurang(kurangn)a

K1 Memahami soalan dalam bahasa Inggeris 1/3(5 5 3

K3Memahami istilah Matematik dalam bahasaInggeris

"# 01& 5 3

K5 Menguasai konstruk pengetahuan 11 1/ 13 1( 15 5 3

K6 Menguasai konstruk ke!ahaman 1 1" 1# 10 /& 5 3

K7 Menguasai konstruk kemahiran /1 // /3 /( /5 5 3

K8Mengungkapkan idea% in!ormasi dalam bahasaInggeris

/ /" /# /0 3& 31 (

K10Memahami pengajaran dan pembelajarandalam bahasa Inggeris

3/ 33 3( 35 3 5 3

!*M+,- 36

3


4/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S1 In a regular polygon, all sides are of equal length and all interior anglesare of equal size.Which of the following is "o# a regular polygon

! "

# $

!nswer % #

Me&aha&i soalan dala& 'ahasa Inggeris

"adangan Pe&ulihan%

• Pela(ar di)ehenda)i &enyedia)an 'u)u

*oca'ulary sendiri.

• +elas Pe&ulihan yang 'erfo)us)an

penguasaan per)ataan seperti regularinterior eterior dan aes o! symmetry .

• &init perta&a P - P guru &e&inta

pela(ar &enerang)an )ata )unci untu)ta(u) ini.

• +elas 'i&'ingan 'ahasa Inggeris.• Me&per'anya))an 'acaan dala& #.I


5/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S2 In a regular polygon, the nu&'er of a/es of sy&&etry is equal to thenu&'er of sides. 0he diagra& shows a regular he/agon.

ow &any a/es of sy&&etry are there in a regular he/agon

! 2

#

"

$ 12

!nswer % "


"adangan Pe&ulihan%


*oca'ulary sendiri.




pela(ar &enerang)an )ata )unci untu)

ta(u) ini.• +elas 'i&'ingan 'ahasa Inggeris.

• Me&per'anya))an 'acaan dala& #.I


6/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S3 !ngles that are inside a polygon are )nown as interior angles. 0hediagra& shows a decagon.

Which of the following is an interior angle

! '

#

" y

$ 2

!nswer % $


"adangan Pe&ulihan%


*oca'ulary sendiri.




pela(ar &enerang)an )ata )unci untu)

ta(u) ini.• +elas 'i&'ingan 'ahasa Inggeris.


'

y

2


7/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S ! pentagon has fi*e sides. Which of the following is a pentagon

! "

# $

!nswer % !


"adangan Pe&ulihan%


*oca'ulary sendiri.




pela(ar &enerang)an )ata )unci untu)ta(u) ini.

• +elas 'i&'ingan 'ahasa Inggeris.


S 0he nu&'er of triangles in a polygon is equal to the nu&'er of sides of

the polygon &inus two.

ow &any triangles are there in a 12sided polygon

! # 14

" 12$ 1

!nswer % #

5


8/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S 0he diagra& shows a quadrilateral.

p r and s are called

! interior angles

# e/terior angles

" co&ple&entary angles

$ supple&entary angles

!nswer % #

Me&aha&i istilah &ate&ati) dala& 'ahasa

Inggeris

"adangan Pe&ulihan%

• Mengguna)an !lash +ard untu)

&enguasai istilah.

• Menyedia)an 'u)u glossary untu)

istilahistilah seperti uadrilateral pentagon heagon ais o! symmetry4erti+es dan diagonals

• #anya))an contoh dan latihtu'i'er)aitan istilah.

• Menyoal pela(ar secara spontan

se'elu& &e&ula)an penga(aran danpe&'ela(aran.

• Pa&er)an istilah di tiang6laluan yang

sering dilalui oleh pela(ar.

p

r

s

7


9/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S5 ! two di&ensional shape that has equal length and equal interior anglesis )nown as a

! cu'oid

# rho&'us

" regular polygon

$ irregular polygon

!nswer % "

Me&aha&i istilah &ate&ati) dala& 'ahasaInggeris

"adangan Pe&ulihan%


&enguasai istilah.



• #anya))an contoh dan latihtu'i

'er)aitan istilah.• Menyoal pela(ar secara spontan




S7 ! line that di*ides a shape into two identical parts which are the &irrori&age of each other is )nown as

! a/is of sy&&etry

# ya/is

" /a/is

$ diagonal

!nswer % !

8


10/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S8 678 is a pentagon and 9 is a straight line.

and y are

! supple&entary angles

# co&ple&entary angles

" e/terior angles

$ interior angles

!nswer % !


"adangan Pe&ulihan%


&enguasai istilah.








y

8

9 7

6

14


11/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S14 0he diagra& shows an equilateral triangle 6.

∠ 6 ∠ 6 and ∠ 6 are called

! refle/ angles

# interior angles

" supple&entary angles

$ co&ple&entary angles

!nswer % #


"adangan Pe&ulihan%


&enguasai istilah.








6

11


12/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S11 Which of the following is a regular polygon

!

#

!nswer % #

Menguasai )onstru) pengetahuan

"adangan Pe&ulihan

• Mengulang P-P dengan &en(elas)an

se&ula )onsep regular polygons sumo! interior angles dan number o! sides.

• +uiz &init se'elu& &e&ula)an P-P

S12 0he nu&'er of triangles that can 'e for&ed in a polygon with n sides is

! n

# n - 1

" n 2

$ n - 2

!nswer % $

"

$

12


13/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S13 0he su& of e/terior angles of a polygon is

! 174°

# 34°

" 4°

$ 524°

!nswer % #


"adangan Pe&ulihan




S1 Which of the following is an interior angle

A. p;.


14/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S1 ow &any sides are there in a nonagon

! 5

# 7

" 8

$ 14

!nswer % "


"adangan Pe&ulihan




S1 Which of the following is the correct step to find the su& of the interiorangles of an octagon

! 3 × 1749

# × 174°

" × 174°

$ × 174°

!nswer % $

Menguasai )onstru) )efaha&an "adangan Pe&ulihan

• Melanti) tutor dari )alangan pela(ar 'agi

&e&'antu pela(ar yang le&ah.

• Me&per'anya))an contoh untu)

&en(elas)an )onsep)onsep 'er)aitan

1


15/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S15 6789 is a regular he/agon.

0he *alue of can 'e deter&ined 'y

!.

34

#

34

".

174

$2

174

!nswer % #

Menguasai )onstru) )efaha&an

"adangan Pe&ulihan





9 8

7

6

1


16/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S17 0he su& of interior angles of a heptagon is

! 5 / 174°

# / 174°

" / 174°

$ / 174°

!nswer % "

Menguasai )onstru) )efaha&an

"adangan Pe&ulihan





S18 In the diagra& , >?G@I is a pentagon.

Which of the following state&ents is !($

! p : 174°

# t : 174°

" p t

$ s t : 174°

!nswer % $

s

r

t

p

> ?

G

@ I

1


17/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S24 678 is a regular pentagon.

Which of the following calculation is used to find the *alue of

!3

342;


18/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S21 0he diagra& shows an irregular he/agon.

=ind the *alue of

! 4°

# °

" 54°

$ 5°

!nswer % "

Menguasai )onstru) )e&ahiran

"adangan Pe&ulihan %

• Mengada)an )elas 'i&'ingan untu)

&ena&'ah)an latih tu'i 'er)aitandengan polygon

• !da)an )uiz 'ertulis 'ertulis secara

'er)ala.

549

9

39

49

749

17


19/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S22 0he diagra& shows a co&'ination of two regular polygons.

=ind the *alue of p.

! 147°

# 124°

" 132°

$ 227°

!nswer % "






'er)ala

p

18


20/29


21/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S2 In the diagra&, 789BC is a he/agon.

=ind the *alue of .

! 124°

# 134°

" 1°

$ 17°

!nswer % !






'er)ala

1449

79

2349

179

D

B

8

9

7

C

21


22/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S2 In the diagra& >?G@IE is a polygon.

=ind the *alue of y.

! 244°

# 1°

" 11°

$ 114°

!nswer % $






'er)ala

> E

139

549

9y

?

G

@

I

22


23/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S2 What is a regular polygon Mengung)ap)an idea6infor&asi dala& #ahasaInggeris

"adangan pe&ulihan %

• Me&inta pela(ar &e&'aca soalan

dengan )uat di hadapan )elas

• Menggala))an pela(ar &en(awa' soalan

'er'entu) dan 'er)o&uni)asi dala&#ahasa Inggeris

• Menyedia)an dan &engguna)an )a&us

po)et < poc)et dictionary ;.

• Mengada)an sudut &ate&ati) di dala&

)elas untu) &e&pa&er)an hasil )er(apela(ar

• Mening)at)an penguasaan #ahasa

Inggeris dengan &engada)an )lini)#ahasa Inggeris

S25 $escri'e how to find the nu&'er of sides of a regular polygon if thee/terior angle is ° .

S27 >/plain how to draw a regular pentagon.

S+''$(#$- "(/$,(:

1. ! polygon in which all sides are of equal length and all interiorangles are of equal size.

2. !ll sides are equal and all interior angles are equal.

S+''$(#$- "(/$,(:

1. 0he nu&'er of sides is equal to 34° di*ided 'y °.

S+''$(#$- "(/$,(:1. $raw a circle with centre ,.2. $i*ide the circle to equal sectors.

3. >ach angle at the centre is 52°

. ?oin the points on the circu&ference to for& a regularpentagon

23


24/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S28 >/plain how to identify the interior and e/terior angles of a polygon. Mengung)ap)an idea6infor&asi dala& #ahasaInggeris











Inggeris dengan &engada)an )lini)#ahasa InggerisS34 $escri'e the relationship 'etween the nu&'er of sides, n of a regular

polygon and the nu&'er of triangles that can 'e for&ed in the polygon.

S+''$(#$- "(/$,(:

1. 0he angle 'etween two sides inside the polygon is the interiorangle and the angle for&ed 'y the e/tended sided of thepolygon and its ad(acent side is the e/terior angle.

2. 0he angles inside the polygon are interior angles. 0he anglesoutside the polygon are e/terior angles.

S+''$(#$- "(/$,( :

1. 0he nu&'er of triangles that can 'e for&ed is two less than n.2. n &inus two

2


25/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S31 >/plain how to find the a/is of sy&&etry of the polygon shown 'elow. Mengung)ap)an idea6infor&asi dala& #ahasaInggeris











Inggeris dengan &engada)an )lini)#ahasa Inggeris

S+''$(#$- "(/$,( :

1. =old the polygon into two parts so that it o*erlaps each othere/actly

2


26/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S32 T$4$, ,$-(

! 3°

# 52°

" 147°

$ 1°

!nswer % !

Me&aha&i penga(aran dan pe&'ela(arandala& #ahasa Inggeris


• Me&'eri &oti*asi dan gala)an )epada

pela(ar dan guru &engguna)an 'ahasaInggeris.

• Mengada)an )uiz spontan secara lisan

dia)hir P - P.

• Mengada)an latih tu'i secara lisan di

dala& )elas.

•Per'anya))an 'ahan 'acaan dala&'ahasa inggeris

0he interior angle of a regular pentagon is 147°. In the diagra&,

678 is a regular pentagon. 67 is a straight line.=ind the *alue of .

6

7

8

2


27/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S33 T$4$, ,$-(

! 34°

# °

" 4°

$ 124°

!nswer % "






dia)hir P - P.


dala& )elas.


In the diagra&, 6789 is a regular he/agon. ∠ 8,7 isequal to 34° di*ided 'y .

=ind the *alue of angle ,87.

7

6

8

@9 •

25


28/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S3 T$4$, ,$-(

! # " 7$ 14

!nswer % "






dia)hir P - P.


dala& )elas.


S3 T$4$, ,$-(

! e/agon# eptagon" @ctagon$ Aonagon

!nswer % "

0o deter&ine the nu&'er of sides of a regular polygon, wedi*ide 34° 'y the e/terior angle.

=ind the nu&'er of sides of a regular polygon if its e/terior

angle is °

0he nu&'er of a/es of sy&&etry of a regular polygon is equal toits nu&'er of sides.

Aa&e the polygon which has eight a/es of sy&&etry.

27


29/29

So!" I#$% D&'"o(#&)*&) %+,&- ''! %$"./ (o!" &"&$!., %$"'-& %(! $,&)+#:

S3 T$4$, ,$-(

!< B 2 ; / 174°

# < C 2 ; / 174°

" < B 2 ; ÷174°

$ < C 2 ; ÷ 174°

!nswer % !






dia)hir P - P.


dala& )elas.


0he su& of the interior angles of a polygon with n sides is

D n minus / times 1#& ° D.

Which of the following shows the calculation to find the su& ofthe interior angles of a polygon with si/ sides

28

teacher's copy module 2 - polygons ii.doc

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