Dokumen Standard Matematik Tahun 2 versi BT

KEMENTERIAN PELAJARAN MALAYSIA

KURIKULUM STANDARD SEKOLAH RENDAH

MATEMATIK
TAHUN 2

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Cetakan Pertama 2012
© Kementerian Pelajaran Malaysia
Hak Cipta Terpelihara. Tidak dibenarkan mengeluar ulang mana-mana bahagian artikel, ilustrasi dan isi kandungan buku
ini dalam apa juga bentuk dan dengan cara apa jua sama ada secara elektronik, fotokopi, mekanik, rakaman atau cara
lain sebelum mendapat kebenaran bertulis daripada Pengarah, Bahagian Pembangunan Kurikulum, Kementerian
Pelajaran Malaysia, Aras 4-8, Blok E9, Parcel E, Kompleks Pentadbiran Kerajaan Persekutuan, 62604 Putrajaya.

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RUKUN NEGARA
BAHAWASANYA negara kita Malaysia mendukung citacita untuk mencapai perpaduan yang lebih erat
dalam kalangan seluruh masyarakatnya; memelihara
satu cara hidup demokratik; mencipta masyarakat
yang adil bagi kemakmuran negara yang akan
dapat dinikmati bersama secara adil dan saksama;
menjamin satu cara yang liberal terhadap tradisitradisi kebudayaannya yang kaya dan berbagaibagai corak; membina satu masyarakat progresif
yang akan menggunakan sains dan teknologi
moden;
MAKA KAMI, rakyat Malaysia, berikrar akan
menumpukan seluruh tenaga dan usaha kami untuk
mencapai cita-cita tersebut berdasarkan atas prinsipprinsip yang berikut:







KEPERCAYAAN KEPADA TUHAN
KESETIAAN KEPADA RAJA DAN NEGARA
KELUHURAN PERLEMBAGAAN
KEDAULATAN UNDANG-UNDANG
KESOPANAN DAN KESUSILAAN

v




























Pendidikan di Malaysia ialah suatu usaha
berterusan ke arah memperkembangkan
potensi individu secara menyeluruh dan
bersepadu untuk melahirkan insan yang
seimbang dan harmonis dari segi intelek,
rohani, emosi dan jasmani berdasarkan
kepercayaan dan kepatuhan kepada
Tuhan. Usaha ini bertujuan untuk
melahirkan warga negara Malaysia yang
berilmu pengetahuan, berketerampilan,
berakhlak mulia, bertanggungjawab dan
berkeupayaan mencapai kesejahteraan
diri serta memberikan sumbangan
terhadap keharmonian dan kemakmuran
keluarga, masyarakat, dan Negara.

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lÆÁ  sÞ©‘Çc¾~|´ lciÇy ÇÓЊ…cjµ~ ybš¯c‘¢ 
Ç|®©jÙyÓcÆ yÞÙÆ yÞ©c¢ÁcÆ hbÍcÆ ¦–©~ }ÜyØ
²~ycµ¯bߝbycäÙß y—c~ yÞÙÆ yÞ©c¢ÁcÆ yÇÆ
hb‘Ь hbÍcÆ ¦–© ©µä©b–j‘ ©cäǾ´ ÇjyyÓcÆ
h…µÆ©”¢Áb´

• yÇÆhb‘ЬhbÍcƦ–©´hb‘Đ©by~yÞÙÆ
yÇÆ hb‘Ь hbÍcÆ ¦–© Çäh©b¾Ø
h¯äh©b¾Ø mycµÇÞjÙ jyµbÖ´ cÙj¯¸´
lÙcjǸ´¯b—ÇĐyÖ~|®i©bc¢Æ
• yÇÆhb‘ЬhbÍcƦ‘©´ÇÍcµby~yÞÙÆ
nÞ| |Üǖ” ’Çc’ i©bäÙ q‘y„yjÓ®
©µä©”¢c¢ yÇÆ hb‘Ь hbÍcÆ ¦–©¢cä
ÇbµcÁbyyÇÆyjÓ¸´lÙcjǸ´h©ÜÆ
• yÇÆhb‘ЬhbÍcƦ–©¢j~hybœ”yÞÙÆ

¯c®©d” yÞÙÆ yÞ©c¢ÁcÆ ²~ycµ¯bß vĐ l„y´ l 
Ç|®©jÙ £‘Ç’~jyyÓcÆ ²jÙµby¢ c–‘¯c‘®©–”¢
hb‘ĐŠ…cµby £‘¢®©‘ iǜ”´ ©ÆiÇÜ y—c
£‘Ç’~jyyÓcä ³Á´ ¯b—ÇĐyÓcä |jÙ£cjÙyjÓ
¯c®©c‘ ²’¸´ rТ  Çbºh¯bÍc h…º yb–‘Æ mycµ
£‘Ç’~jyyiÓb” ©ÆiÇÜ lš|²jÙyjÓ~ hybœ”´
¯c®©d” h…ºµÁb´ ryb i£Đ~yb—Æ  Çcßb¢ hb”¢Æ
pÞÜi£b~|Æ mºÊŠ h…ºÆ i©bäÙ ²jÙyÓcÄ´
¯c®©d–j‘ £‘¢Áb´ l¨ ¯c®©d–” ²’jÇ~ hybœ”
m…c»cµĐ ¯b—ÇĐyÓcä |jÙyjÓ~ yjÓÇib”¢ „yÓcä
i©bjßjµ¸´ i¯´©”¢c~ hybØÓÁb´ ÇÓ®©”¢ Æ
¯ÞÜ´ |jÙ£d~yÆ £‘Ç’~jyyÓcä ³Á´ m…c»cµĐ
¯b—ÇĐyÓcämÞÙjÁ¸´i¯´©”¢Áb´



14

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š´
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rœš´
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Çj»µcÁbß²ÐrœyØ
Çj»µcÁbß²ÐrœyØ


mœ”
mœ”


pØÓ‘~y¢»´
ÇÍcyb–‘Ácä³Á´¯b—ÇĐyØ
ÇÍcyb–‘Ácä³Á´¯b—ÇĐyØ
1.1 rœyjÓ®h©µ»c”ÇĐ¯c®j©
pܝc®©”¢ ÇĐ

yÞÙÆ»´
n®©b‘nܝcµcƯb—ÇĐyØ
n®©b‘nܝcµcƯb—ÇĐyØ
(i)1000Çj»µcÁbßrœyÓc䯝c®j©®h©µ»c”ÇĐ
(l)rœ¯bߢcÆhyb”~y®©–”ØÓsbÇ vĐrœj—Çb…c®©Đ
(m)rœ|Ùc®©cÆhyb”~y®©–”ØÓsbÇ vĐrœj—~}ÜÇĐ
(n) rœ¯bߢcÞiyÞ©rœj—nj—®©Đ

(ii)1000Çj»µcÁbßrœyÓc䯝c®j©pܝc®©”¢ ÇĐ
(l)}Ù®©”´rœyÓcärœ—c~jyjµ®h©b¾Ø©‘´rœiyb”¯ÞÜ´
…d߯—cŠ…–‘´4:1mycµÇÞjÙ®©µä©”¢c~ybœ©c®©Đ
(m)h©b¾Ø|ÇcµÆyjÓrœy֑änj—®©Đ
(n)h©b¾ØyÓcä|ÇcµÆ©‘l–j‘rœl–j‘mycµÇÞjÙsÜÇ»cj…µcÄ´
nل|Ç»cj…µcÄ´£c»Æ©”¢ ÇĐ
(o) n¾rœyjÓu®©c–”lÇÞÜ~ycj‘iµpØÓsbÇ vĐrœj—~}ÜÇĐ
1.2 rœyjÓrРÇĐ

rœ|Ùc®©cÆhyb”~y®©–”ØÓ1000Çj»µcÁbßsbÇ vĐrœj—
rœ¯bߢcÆrРÇĐ
(ii) 1000Çj»µcÁbßsbÇ vĐrœj—rœ¯bߢcÆrРÇĐ

(i)

1.3 sbÇ vĐrœhb‘j»®­Đ¢cŠ (i)
h…ºÇĐ

1000~|–©–‘rœj—
(l) §Ü§Ùby
(m) ©¢ ®©¢by
(n) uäÜuäÙby
(o) n»œ”n»œ‘by
(p) t¨ t¨by
sÜÇ»cj…µcÄ´nل|Ç»cj…µcÄ´rœšÇĐ

15

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Çj»µcÁbß²ÐrœyØ

Çj»µcÁbß²ÐrœyØ
pØÓ‘~y¢»´
ÇÍcyb–‘Ácä³Á´¯b—ÇĐyØ


mœ”
mœ”

yÞÙÆ»´
n®©b‘nܝcµcƯb—ÇĐyØ
n®©b‘nܝcµcƯb—ÇĐyØ

(ii) 1000~|–©–‘rœhb‘j»
(l) §Ü§Ùby
(m) ©¢ ©¢by
(n) uäÜuäÙby
(o) n»œ”n»œ‘by
(p) t¨ t¨by
sÜÇ»cj…µcÄ´nل|Ç»cj…µcÄ´­Đ¢cŠh…ºÇĐ

1.4 sbÇ vĐrœ—cän‘¯c®j©
pܝc®©”¢ ÇĐ

(i)

1000Çj»µcÁbßsbÇ rœyÓcÄØÓuÌhÇb¾nÁ~y¢cän‘¯c®j©~
}ÜÇĐ

(ii) 1000Çj»µcÁbßrœ—cänÁ~y¯c®j©~}ÜÇĐ
(iii) …d߯—cŠ…–‘´t©µä©”¢crœyÓcän‘¯c®j©¸´nÁ~y¯c®j©¸´
}ÜÇĐ
(iv) rœyjÓrœ©c»c®©cÞ|sÞ©©c»c¢ rРÇĐ
l n‘¯c®¬§Ü©¢ ¯ÞÜ´uäÜ~|sÞÙÇbÜ©c»c®©Đ
m £dØÇ»cj…µcÆnÁ~y¯c®©cÞ|sÞÙÇbÜ©c»c®©Đ
1.5 sbÇ vĐrœj—~yc–’µ©¢cÄ´
yc–’µ§ÙcÄ´rРÇĐ

(i)

1000Çj»µcÁbßrœyjÓ~yc–’µ©¢cÄ´yc–’µ§ÙcÄ´rРÇĐ

16

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~|Øi…Đ¢Æ
~|Øi…Đ¢Æ

~|Øi…Đ¢Æ

mœ”
mœ”

pØÓ‘~y¢»´
ÇÍc~yb–‘Ácä³Á´¯b—ÇĐyØ
2.1

sbÇ n¾rœyjӊi…Đ®©Đ

yÞÙÆ»´
n®©b‘nܝcµcƯb—ÇĐyØ

(i)

³äÜnÁ~yÇj»µcÁbßsbÇ n¾rœyjÓr”¢ Šh…ÆÁb¯Æi…Đ®©Đ

(ii) ³äÜnÁ~yÇj»µcÁbßsbÇ n¾rœyjÓr”¢ Šh…äÜi…Đ®©Đ
l uäÙcÁc¾¨ ©¢ ~|´

m ©¢cÁc¾¨ §Ü~|´

n uäÙcÁc¾¨ ©¢ ~|´©¢cÁc¾¨ §Ü~|´
1000Çj»µcÁbß}–”¢hbjy
(iii) …d߯—cŠ…–‘´4:1t©µä©”¢csbÇ n¾rœyjӊi…Đ®©Đ

2.2

³äÜrœyjӊi…Đ®©Đ

(i)

³äÜnÁ~yÇj»µcÁbßsbÇ ³äÜrœyjÓr”¢ Šh…ÆÁb¯Æi…Đ®©Đ

(ii) ³äÜnÁ~yÇj»µcÁbßsbÇ ³äÜrœyjÓr”¢ Šh…äÜi…Đ®©Đ
l uäÙcÁc¾¨ ©¢ ~|´

m ©¢cÁc¾¨ §Ü~|´

n uäÙcÁc¾¨ ©¢ ~|´©¢cÁc¾¨ §Ü~|´
1000Çj»µcÁbß}–”¢hbjy
(iii) …d߯—cŠ…–‘´4:1t©µä©”¢csbÇ ³äÜrœyjӊi…Đ®©Đ
2.3

i…Đ¢Æhb‘Đ©bß©cЊ…jß~
y—~|yÖ~|¢dĐÊybœ©Đ

(i)

hyb”~y®©”´i…Đ¢Æy—c¢hb‘¾~|sÞÙyjjµp¾Çb~|ÇĐ

(ii) n¾rœyjӊi…Đ~|´©’µbßläÙb‘©c»Š…jß~y—~|yÖ~|¢dĐÊ
ybœ©Đ

17

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š´
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h…º²jÙ¸´



~|Ø
~|ØyÍc¢Æ

~|ØyÍc¢Æ
yÍc¢Æ

mœ”
mœ”

pØÓ‘~y¢»´
ÇÍc~yb–‘Ácä³Á´¯b—ÇĐyØ
ä³Á´¯b—ÇĐyØ
ÇÍc~yb–‘Ác
3.1

sbÇ n¾rœyjÓ~yÍc®©Đ

yÞÙÆ»´
n®©b‘nܝcµcƯb—ÇĐyØ

(i) ³äÜnÁ~yÇj»µcÁbßsbÇ n¾rœyjÓr”¢ Šh…ÆÁb¯ÆyÍc®©Đ
(ii) ³äÜnÁ~yÇj»µcÁbßsbÇ n¾rœyjÓr”¢ Šh…äÜyÍc®©Đ
l ©¢cÁc¾¨ uäÜ~|´

m §ÙcÁc¾¨ ©¢ ~|´
 n §ÙcÁc¾¨ ©¢ ~|´ ©¢cÁc¾¨ uäÜ~|´
(iii)

…d߯—cŠ…–‘¢j®©µä©”¢csbÇ n¾rœyjÓ~yÍc®©Đ

3.2

sbÇ vĐrœ—cÁc¾¨ 
hb‘ШbÞi©bÆn¾rœyjÓ~
yÍc®©Đ

(i)

1000~|–©–‘sbÇ vĐrœ—cÁc¾¨ hb‘ШbÞi©bÆn¾rœyjÓ
r”¢ Šh…ÆÁb¯Ä´r”¢ Šh…äÜ´yÍc®©Đ
(ii) 1000~|–©–‘sbÇ vĐrœ—cÁc¾¨ hb‘ШbÞi©bÆn¾rœyjÓ
…d߯—cŠ…–‘¢j~hybœ”yÍc®©Đ

3.3

yÍc¢Æhb‘Đ©bß©c»Š…jߊ
y—~|yÖ~|¢dĐÊybœ©Đ

(i) hyb”~y®©”´y—c¢hb‘¾~|sÞ©yjjµp¾Çb~|ÇĐ
(ii) n¾rœyØyÍc¢Æhb‘Đ©bßläÙb‘®©c»Š…jß~y—~|yÖ~|¢dĐÊ
ybœ©Đ

18

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h©¾~yÆ
h©¾~yÆ
h©¾~yÆ
4.1

mœ”
mœ”

pØÓ‘~y¢»´

yÞÙÆ»´

ÇÍc~yb–‘Ácä³Á´¯b—ÇĐyØ

n®©b‘nܝcµcƯb—ÇĐyØ

h©¾~yÆy—c¢hb‘j»rРÇĐ

(i)

(ii)

(iii)

(iv)

(v)

…¯lÓÇcÁbß|Ð~yjÓp¾Çb~yc~}ÜÇĐ
l c‘®h©b¾Ø
m ©‘´
n rœiyb”
ui»rœj—hb‘ШbÞi©bÆi…Đ~|´y—c¢hb‘j»rРÇĐ
l n»œ”n»œ‘by
m t¨ t¨by
n ©¢ ©¢by
o £bä|£bäyby
h©¾~yÆ|Ùcjµ¸´…¯|Ùcjµ¸´lÙc²y´h…ºÇĐ
l h©¾~yjÁ~|Ùc~|´h…bÞyӐ…cµ¢jlÙc¨ ©µä©”¢ ÇĐ
m |Ùcµd–j‘rТ ÇĐ
n hyb”~y®©”´‰ÍÄ~|sÞÙy—c¢hb‘j»®h©b¾¢¯bß
|Ùcµd–j‘~hybœ”rРÇĐ
©cäǾÇßÇÞÙcä j—¸‘än»œ”n»œ‘byt¨ t¨by©¢ ©¢by
pØÓ…¯lÓÇcÁbß|Ð~yÖ~|sÞÙh©¾~yÆy—c¢hb‘j»rРÇĐ
l h©b¾Ø
m ©‘´
n rœiyb”
hyb”~y®©”´h©¾~yÆy—c¢hb‘»cÆpØÓrœyÓcälj¯®j©¯bÞÙc
rНcui»Çcj‘Ǿ´©’µbßh©¾~yÆy—c¢hb‘j»rРÇĐ




19

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h©¾~yÆ
h©¾~yÆ
h©¾~yÆ
4.2

mœ”
mœ”

pØÓ‘~y¢»´

yÞÙÆ»´

ÇÍc~yb–‘Ácä³Á´¯b—ÇĐyØ
ÇÍc~yb–‘Ácä³Á´¯b—ÇĐyØ

n®©b‘nܝcµcƯb—ÇĐyØ

h©¾~yÆy—c¢hb‘j»­Đ¢cŠ
h…ºÇĐ

ydiÍhyb”~y®©–”ØÓj¢ j—µby~hybœ”n»œ‘b´t¨b´©¢b´
£bäyb´Çbº®©b”yjÓp¾Çb~|ÇĐ
 l c‘®h©b¾Ø
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 n rœiyb”
(i)

(ii) uäܯÞÜ´ˆÍcµ¢ ‘äh©¾~|´i©b Ǿ´¯c®j©pܝch…ºÇĐ
(iii) n»œ”t¨ ©¢ £bä|uä܈Ícµ´mycµh©¾~yÆy—c¢
hb‘ĐyjÓ£cjÙÊh…ºÇĐ
4.3

h©¾~yÆÇbº®©b–j‘p‘ß’µby
}ÜÇĐ

n»œ‘b´t¨b´©¢b´£bäyb´uäÙb´ˆÍcµ´mycµh©¾~yÆ
hb‘Đ©bßÇbº®©b–j‘p‘â~|‘ä}ÜÇĐ
l sÜÇ»cj…µcÆ
m |Ùc®©cäÙc
 n |Ùc®©c–‘h©¾~|¢hbjyǾ´©’µbßn»œ’Æu¾rœj—
h©¾~|Æ
(i