RANCANGAN PELAKSANAAN PEMBELAJARAN MODEL PENGAJARAN LANGSUNG
MATERI SUKU BANYAK
oleh: Wulan A. R.
(!"#$!"%& '!! A
UNIERSIT UNIERSI TAS NEGERI SURABAYA SURABAYA )AKULTAS MATEMATIKA DAN ILMU PENGETA*UAN ALAM JURUSAN MATEMATIKA '!'
I. I.
Tu/uan Pe39ela/a0an RENCANA PELAKSANAAN PEMBELAJARAN Ko8n-+-;: Sa+uan Pen,-,-an : SMA 2 MA . Den8an 3en8e0/aan La+-han 6. no3o0 ' ,an " hala3an $# 9uu BSE Ma+e3a+-a Ma+a Pela/a0an : Ma+e3a+-a J-l-, ' un+u SMA ,an MA Kela1 4I P0o80a3 IPA a0a Nu80oho S. ,an Ma0an+o= Kela1 2 Se3e1+e0 : 4I 2 ' 1-1>a ,a7a+ 3enen+uan n-la- ,a0- 1ua+u 1uu 9ana un+u on1+an+a +e0+en+u ,en8an Aloa1- Wa+u : ' 5 $6 3en-+
a ,a7a+ 3enele1a-an 7e03a1alahan 7e03a1alahan an8 9e0hu9un8an
I.
,en8an n-la- 1uu 9ana un+u on1+an+a +e0+en+u ,en8an 9ena0. S+an,a0 Ko Ko37e+en1$. Men88unaan a+u0an 1uu 9ana ,ala3 7enele1a-an 3a1alah A;e+-;:
II.
III.
Pe0-lau 9e0a0a+e0: Ko37e+en1- Da1a0 . Den8an 3en8e0/aan La+-han 6. no3o0 ' ,an " hala3an $# 9uu BSE Ma+e3a+-a $.. Men88unaan al8o0-+3a 7e39a8-an 1uu 9ana un+u 3enen+uan ha1-l 9a8- ,an 1-1a J-l-, ' un+u SMA ,an MA Kela1 4I P0o80a3 IPA a0a Nu80oho S. ,an Ma0an+o ,an 7e39a8-an LP= 1-1>a ,a7a+ 3enun/uan e+el-+-an ,ala3 3enen+uan n-la- ,a0- 1ua+u 1uu 9ana un+u on1+an+a +e0+en+u ,en8an a ,a7a+ 3enun/uan e3an,-0-an ,ala3 3enen+uan Ko8n-+-; n-la- ,a0- 1ua+u 1uu 9ana un+u on1+an+a +e0+en+u ,en8an a ,a7a+ 3enun/uan e/u/u0an ,ala3 3enen+uan '. Menele1a-an 7e03a1alahan an8 9e0hu9un8an 9e0hu9un8an ,en8an n-la- ,a0- 1ua+u 1uu 9ana n-la- ,a0- 1ua+u 1uu 9ana un+u on1+an+a +e0+en+u ,en8an a ,a7a+ 3enun/uan e,-1-7l-nan ,en8an 3en8an8a+ +an8an +e0le9-h ,ahulu an8 ,-n-la- ,en8an Pe0-lau Be0a0a+e0: 3en88unaan LP': Pen8a3a+an Be0a0a+e0 Menun/uan e+el-+-an= 3an,-0-= /u/u0Pe0-lau ,an ,-1-7l-n. Ke+e0a37-lan So1-al: Ke+e0a37-lan So1-al: Menun/uan 3en8a/uan 7e0+anaan 7en,a7a+= ,an 3e0e17ona+au 7e0+anaan 2 7en,a7a+. . Pa,a 1aa+ 7e39ela/a0an= 1-1>a ,a7a+2 3en8a/uan 7e0+anaan 7en,a7a+ an8 ,-n-la- 3en88unaan LP": Pe0-lau Ke+e0a37-lan Ke+e0a37-lan So1-al
'. Pa,a 1aa+ 7e39ela/a0an= 1-1>a ,a7a+ 3e0e17on 7e0+anaan a+au 7en,a7a+ an8 ,-n-la- 3en88unaan LP": Pe0-lau Ke+e0a37-lan Ke+e0a37-lan So1-al
.
Ma+e0- A/a0 Suu Bana
I.
II.
Mo,e o,el ,a ,an Me+ Me+o, o,ee Pe3 Pe39e 9ela la/a /a00an Mo,el Pe39ela/a0an Pe39ela/a0an
: Pen8a/a0an Lan81un8
Me+o,e Pe39ela/a0an Pe39ela/a0an
: E17o1-+o0-
Su39e0 Pe39ela/a0an
Buu Pae+: Soe,a0+o= Nu80oho ,an Ma0an+o.'!!?.Ma+e3a+-a J-l-, ' un+u SMA ,an MA Kela1 4I P0o80a3 IPA.Jaa0+a:Pu1a+ Pe09uuan De7a0+e3en Pen,-,-an Na1-onal
III.
LP: N-la- Suu Bana LP': Pen8a3a+an Pe0-lau Be0a0a+e0 LP": Pe0-lau Ke+e0a37-lan So1-al
Ala+ ,an Bahan
I4. I4.
La7+o7
Lan8 Lan8a ah@ h@la lan8 n8a ah h Ke8Ke8-a+ a+an an Pe3 Pe39e 9ela la/a /a0a 0an n a. Ke8-a+an A>al ( ! 3en-+ & )a1e : Kla0-;-a1- Tu/uan ,an Me3o+-a1- S-1>a
Gu0u 3ena37a-an +u/uan 7e39ela/a0an. 7e39ela/a0an. Gu0u 3en8-n8a+an e7a,a 1-1>a +en+an8 3a+e0- 1e9elu3na an8 9e0a-+an ,en8an 3a+e0- ha0- -n-= a-+u al/a9a0 (3-1alna o7e0a1- 9 -lan8an= PLS= PLS= ,an ;un81- ua,0a+&.
Gu0u 3e3o+-a1- 1-1>a ,en8an 3en8a-+an 3a+e0- an8 aan ,-7ela/a0- ,en8an eh-,u7an 1eha0-@ha0-. Con+oh :
*u9un8an an+a0a /a0a an8 ,-+e37uh 5(+& ,an >a+u an8 ,-9u+uhan (+& 1e9uah 0oe+ 1aa+ 3elun
9en+u
1uu
9ana.
Pe01a3aan
+e01e9u+
,-8unaan
3e37e0h-+un8an 3e37e0h-+un8an 9e9e0a7a 1-+ua1-= a+u an8 +e7a+ un+u 3ele7a1an eo0 0oe+.
9. Ke8-a+an In+- ( 66 3en-+ & )a1e ': Me370e1en+a1-an Me370e1en+a1-an Pen8e+ahuan a+au Men,e3on1+0a1-an Men,e3on1+0a1-an Ke+e0a37-lan
Gu0u 3en/ela1an 7a,a 1-1>a +en+an8 a7a an8 ,-3a1u, 3enen+uan n-la- 1uu 9ana.
Gu0u 3en,e3on1+0a1-an 9a8a-3ana a 3en-0uan ,- 9uu +ul-1 3a1-n8@3a1-n8.
Gu0u 3e39e0-an e1e37a+an e1e37a+an 7a,a 1-1>a un+u 9e0+ana a7a9-la a,a lan8ah an8 9elu3 ,-3en8e0+-. S-1>a ,-la+-h un+u ,-1-7l-n ,ala3 3en8a/uan 7e0+anaan 7e0+anaan a+au 7en,a7a+ ,en8an 3en8a
Gu0u 3en,e3on1+0a1-an 9a8a-3ana a 3en-0uan ,- 9uu +ul-1 3a1-n8@3a1-n8.
Gu0u 3e39e0-an e1e37a+an e1e37a+an 7a,a 1-1>a un+u 9e0+ana a7a9-la a,a lan8ah an8 9elu3 ,-3en8e0+-. S-1>a ,-la+-h un+u ,-1-7l-n ,ala3 3en8a/uan 7e0+anaan 7e0+anaan a+au 7en,a7a+ ,en8an 3en8a
)a1e ": Me39e0- La+-han Te09-39-n8
Gu0u 3e3-n+a 1-1>a 3en8e0/aan La+-han 6. no3o0 ' ,an " hala3an $# 9uu BSE Ma+e3a+-a J-l-, ' un+u SMA ,an MA Kela1 4I P0o80a3 IPA a0a Nu80oho S. ,an
un+u
Ma0an+o. S-1>a ,-3-n+a un+u +el-+- ,ala3 3en8e0/aan 3en8e0/aan LKS ,-n-la- ,en8an LP': Pen8a3a+an Pe0-lau Be0a0a+e0.
)a1e $: Men8e
Gu0u 3e3-n+a 9e9e0a7a 1-1>a un+u 3enul-1an ha1-l 7ee0/aanna ,- 7a7an +ul-1. Gu0u 9e01a3a@1a3a 1-1>a 3en8ea an8 +elah ,-+ul-1 ,7a7an +ul-1 ,an 3e39e0-an 3e39e0-an e1e37a+an 9a8- 1-1>a un+u 3en8a/uan 7e0+anaan 7e0+anaan a+au 7en,a7a+.
Gu0u 3e39e0-an u37an 9al- ,en8an
<. Ke8-a+an Ah-0 Ah-0 ( '6 3en-+ & )a1e 6: Me39e0- La+-han Lan/u+an ,an T0an1;e0
Gu0u 3e39a8-an LP un+u ,-e0/aan 1-1>a 1ela3a '! 3en-+. S-1>a ,-la+-h un+u 3an,-0- ,an /u/u0 ,ala3 3en8e0/aan 3en8e0/aan LP an8 ,-n-la- ,en8an LP': Pen8a3a+an Pe0-lau Be0a0a+e0.
Gu0u 9e01a3a 1-1>a 3elauan 0e;le1- a+a1 7e39ela/a0an ha0- -n-. M-1al: a.
Ba8a-3ana 7e39ela/a0an 7e39ela/a0an ha0- -n-F
9.
A7aah al-an 1u,ah 7aha3 9a8a-3ana 3enen+uan n-la- 1uu 9ana 9a- ,en8an 1u91+-+u1- 3au7un *o0ne0F
Gu0u 3e3-n+a 1-1>a un+u 3e3ela/a0- 9a9 9e0-u+na 3en8ena- ha1-l 9a8- ,an 1-1a 7e39a8-an 1uu 9ana.
4.
Pen-la-an
In,-a+o0
No. .
Menen+uan n-la- 1uu 9ana ,en8an
Pen-la-an
In1+0u3en
Te0+ul-1
La+-han 6.
1u91+-+u1- ,an *o0ne0
no3o0 ' ,an " 9uu BSE Ma+e3a+-a J-l-, ' un+u SMA ,an MA Kela1 4I P0o80a3 IPA IPA a0a Nu80oho S. Dan Ma0an+o
'.
Men Menel ele1 e1aa-a an n 7e03a 7e03a1a 1ala laha han n an8 an8 9e0hu 9e0hu9u 9un8 n8an an
Te0+ul-1
LP
,en8an n-la- 1uu 9ana un+u 1ua+u on1+an+a +e0+en+u
A;e+-; Pen-la-an Pe0-lau 9e0a0a+e0 ,a7a+ ,-lauan ,en8an LP ' : Le39a0 Pen-la-an Ka0a+e0
Ke+e0a37-lan So1-al Pen-la-an Ke+e0a37-lan 1o1-al ,a7a+ ,-lauan ,en8an LP " : Le39a0 Pen8a3a+an Ke+e0a37-lan So1-al.
......................= ............................ Men8e+ahu-. Ke7ala SMA ...................
Gu0u Ma+a Pela/a0anMa+e3a+-a
(......................................&
(...........................................&
NIP.
NIP.
KUNCI JAWABAN JAWABAN DAN PEDOMAN PENSKORAN PE NSKORAN LATI*AN 6. No3o0 ' ,an " Buu BSE Ma+e3a+-a J-l-, ' un+u SMA ,an MA Kela1 4I P0o80a3 IPA Ka0a Nu80oho S. Dan Ma0an+o
No. '.
Kun<- Ja>a9an
So0
a. D-e+ahu-: ( &
'
D-+ana: ( &
'
Penele1a-an: (& 6
'?" Ja,- n-la- ,a0-
un+u
a,alah '?".
9. D-e+ahu-: ( &
'
D-+ana: ( &
'
Penele1a-an: (& 6
#? Ja,- n-la- ,a0-
un+u
a,alah #?.
<. D-e+ahu-: ( &
'
D-+ana: ( &
'
Penele1a-an: (& 6
"$ Ja,- n-la- ,a0-
un+u
a,alah "$.
,. D-e+ahu-: ( & D-+ana: (
'
&
'
Penele1a-an: (
&
(
&
(
&
(
& 6
! Ja,- n-la- ,a0-
un+u
a,alah !.
e. D-e+ahu-: ( & D-+ana:
(
'
&
'
Penele1a-an: (
&
(
&
(
&
6
Ja,- n-la- ,a0-
un+u
a,alah
.
".
a. D-e+ahu-: ( &
'
D-+ana: ( &
'
Penele1a-an:
6
Ja,- n-la- ,a0-
un+u
a,alah ".
9. D-e+ahu-: ( & D-+ana: (
' &
'
Penele1a-an:
6
Ja,- n-la- ,a0-
un+u
a,alah .
<. D-e+ahu-: ( &
'
D-+ana: ( &
'
Penele1a-an:
6
Ja,- n-la- ,a0-
un+u
a,alah "!.
,. D-e+ahu-: ( & D-+ana: (
' &
'
Penele1a-an:
6
Ja,- n-la- ,a0@'!$.
un+u
a,alah
e. D-e+ahu-: ( & D-+ana:
(
' &
'
Penele1a-an:
6
Ja,- n-la- ,a0-
un+u SKOR TOTAL
a,alah
.
!!
Le39a0 Pen-la-an N-la- Suu Bana Na3a
:
Kela1
No. A91en
:
Tan88al :
:
In,-a+o0 Pe39ela/a0an: Pe39ela/a0an: Ko8n-+-;: Menele1a-an 7e03a1alahan 7e03a1alahan an8 9e0hu9un8an ,en8an n-la- ,a0- 1ua+u 1uu 9ana un+u on1+an+a +e0+en+u. Pe+un/u Pen8e0/aan . Baa9 ,an 1ele1a-an 1e3ua 7e03a1alahan an8 +e01e,-a ,en8an 9a- ,an 9ena0. '. Ke0/aan 1ea+u 7en8e0/aan '! 3en-+.
Soal: . A,h- 3en8en,a0a3en8en,a0a- 1e9uah 3o9-l ,en8an hu9un8an an+a0a /a0a an8 ,-+e37uh 5(+& ,an >a+u an8 ,-9u+uhan (+& un+u 8e0a 3o9-lna ,-na+aan oleh 5(+& "+' "+. Dala3 hal -n- 5(+& ,ala3 3e+e0 ,an + ,ala3 3en-+. A,h- 9e0an8a+ ,a0- 0u3ah 7uul !%.!!. Puul !%.6= A,h- 3a37-0 e 1e9uah +oo 9uu un+u 3e39el- 9e9e0a7a 9uu 3o+-a1- ,an 3a/alah 9-1n-1. Be0a7aah 3 /a0a an+a0a +oo 9uu +e01e9u+ ,en8an 0u3ah A,h-F '. Da+a 9e0-u+ 3ena37-lan 9-aa (C ,ala3 0u7-ah& 7e0 3-n88u un+u 3en
KUNCI JAWABAN DAN PEDOMAN PENSKORAN LP
No. .
Kun<- Ja>a9an
So0
D-e+ahu-: 5(+& "+' "+= 5(+& ,ala3 3e+e0 3e+e0 ,an + ,ala3 3en-+ 6 Puul !%.!! A,h- 9e0an8a+ Puul !%.6 A,h- e +oo 9uu D-+ana: Be0a7a 3 /a0a 0u3ah A,h- ,en8an +oo 9uuF
'=6
Ja>a9: + !%.6 @ !%.!! 6 3en-+ 5(+& "+' "+ 5(6& "(6&' "(6& "(''6& $6
'6
'%'6 $6 '??! 3 '=?? 3 Ja,- /a0a 0u3ah A,h- ,en8an +oo 9uu a,alah '=?? 3. '.
6
D-e+ahu-:
6
C(5& !=!65" !=6%65' %=65 %?=$" C ,ala3 0u7-ah ,an 5 ,ala3 0-9uan.
D-+ana: Be0a7a 1el-1-h 9-aa 3en
'=6
7e0 3-n88uF Ja>a9: Da0- +a9el ,-e+ahu- 9ah>a 9-aa 3en
66
@'"=$? '%!=6? #= Seh-n88a 9-aa 3en
9-aa 9-aa 3en
3-n88u a,alah R7".!!=!! SKOR TOTAL
!!
Le39a0 Pen-la-an ': Pen8a3a+an Pe0-lau Be0a0a+e0
Na3a
:
Kela1
:
No. A91en
:
Tan88al :
Pe+un/u: Be0-lah Be0-lah 7en-la-a 7en-la-an n ,en8an +an,a +an,a a 1-1>a an8 3un
In,-a+o0
.
Ke+el-+-an
'.
Ke3an,-0-an
".
Ke/u/u0an
$.
Ke,-1-7l-nan
BT
MT
MB
BD
.....................= ........................................... ............................................. Pen8a3a+
(
&
Le39a0 Pen-la-an ": Pen8a3a+an Ke+e0a37-lan So1-al
Na3a
:
Kela1
No. A91en
:
Tan88al :
:
Pe+un/u: Be0-lah Be0-lah 7en-la-a 7en-la-an n ,en8an +an,a +an,a a 1-1>a an8 3un
In,-a+o0
A
.
Men8a/uan 7e0+anaan ,an 7en,a7a+
'.
Me0e17on 7e0+anaan ,an 7en,a7a+
B
C
......................= ........................................... .............................................
Pen8a3a+=
(
&
D
Ma+e0- A/a0