Lessonplan Zakie
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LESSON PLAN
School : SMPSubject : MathematicsGrade / Semester : VIII (Eight) / I (First)Topic : lgebra !actori"atio#time allocatio# : $ % &' mi#utes (o#e meeti#g)
A. Core Competencies
$ espect a#d appreciate the teachi#gs o! their religio#& espect a#d appreciate the ho#est beha*ior+ discipli#e+ respo#sibilit,+ cari#g
(tolera#ce+ mutual assista#ce)+ polite+ co#!ide#t+ i# i#teracti#g e!!ecti*el,-ith the social a#d #atural e#*iro#me#t i# a ra#ge o! sociall, a#d e%iste#ce
. #dersta#di#g a#d appl,i#g 0#o-ledge (!actual+ co#ceptual+ a#d procedural) based o# his curiosit, about scie#ce+ tech#olog,+ arts+ relatedcultural phe#ome#a a#d e*e#ts seem e,e
1 Processi#g+ prese#ti#g+ a#d reaso#i#g i# the realm o! co#crete (usi#g+ parse+compose+ modi!,+ a#d create) a#d the realm o! the abstract (-riti#g+ readi#g+cou#ti#g+ dra-i#g+ a#d !abricated) accordi#g to the lear#ed i# schools a#dother sources i# the same *ie-poi#t / theor,
B. Basic competence and Competency Achievement Indicators
No.
Basic competenceCompetency Achievement
Indicators
$ $ $ espect a#d appreciate the teachi#gs o!their religio#
& & $ Sho-s the logical attitude+ critical+a#al,tical+ co#siste#t a#d co#scie#tious+respo#sible+ respo#si*e+ a#d does #oteasil, gi*e i# sol*i#g the problem
& $ $ espo#d positi*el, to theopi#io#s a#d -or0 o!!rie#ds i# the i#teractio# o!lear#i#g acti*ities thatu#der-a,
& $ & Sho-s acti*e participatio#i# group discussio#s
& $ . Sho-s respo#sibilit, i# adiscussio# group to resol*ea gi*e# problem
. & & 2urious+ co#!ide#t+ a#d i#terest i#
mathematics a#d ha*e co#!ide#ce i# the
& & $ Sho-s curiosit, b, acti*el,
participate i# the lear#i#g
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po-er a#d use!ul#ess o! mathematics+-hich is !ormed through the lear#i#ge%perie#ce
process
& & & Sho-s a# i#terest i#mathematics b, pa,atte#tio# to teacher3se%pla#atio# seriousl,
1 & . 4a*i#g a# ope# attitude+ polite+objecti*e+ respect the opi#io# a#d -or0 o!!rie#ds i# group i#teractio#s a#d e*er,da,acti*ities
& . $ Sho-s a# ope# attitude+ polite+ a#d objecti*e
& . & espect the opi#io# a#d-or0 o! !rie#ds i# groupi#teractio#s a#d e*er,da,
acti*ities5 . $ ppl,i#g algebra operatio#s that
i#*ol*es ratio#al #umbers. $ $ ble to determi#e the result
o! !actori#g algebraic !orm&ax bx c+ +
i! $a =
a#d&ax bx c+ +
i!$a
. $ & ble to use the algebra!actori"atio# to simpli!,algebra !orm6 1 1 esol*i#g the problem b, estimati#g the
u#0#o-# amou#t usi#g graphs+ algebra+ a#darithmetic
1 1 $ ble to 7etermi#i#g!actori"atio# algebra tribes
1 1 & ble to Elaborati#g algebra!orm i#to the !actors
C. Learning Objectives
8, group discussio#s+ group assig#me#t a#d i#di*idual assig#me#t+ stude#ts ca# :
$ 7etermi#e the result o! !actori#g algebraic !orm&ax bx c+ +
i!$a =
a#d&ax bx c+ +
i!$a
& si#g the algebra !actori"atio# to simpli!, algebra !orm. 7etermi#i#g !actori"atio# algebra tribes1 Elaborati#g algebra !orm i#to the !actors
D. Learning ateria!s
$ Factori#g algebra !orm
&ax bx c+ +
i!$a =
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& Factori#g algebra !orm&ax bx c+ +
i!$a
E. Learning ethods$ pproach : scie#ti!ic& Model : 2ooperati*e 9ear#i#g. Method : E%pla#atio#+ discussio#+ a#d assig#me#
". E#$ipment and So$rces o% Learning
E uipme#ts : ;hiteboard+ mar0ers+ Stude#t ;or0sheet + $.)& 9iste# teacher > #s-er the uestio#s o! teachers
AIN AC'I+I'IES
6?
- E%plai#s the basic compete#cies+objecti*es a#d i#dicators
- E%plai# the mai# poi#ts o! thecore material !actori"atio#algebra tribes !orm a%& @ b% @c -ith a A $ a#d a%& @ b% @ c-ith a B $
- 9iste# o! teachersOBSE(+IN&
- ll stude#ts obser*e the teacher3se%pla#atio# o! the algebra o!
uadratic !orms,)ES'IONIN&
- The stude#ts moti*ated to as0 uestio#s about !actori#g algebra
o! uadratic !orms
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. Assessment o% Learning O$tcomes
$ Tech#i ue ssessme#t:
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/ritten 'est
"ind %actors o% the %o!!o0ing a!gebra %orms1$ %& @ 5% @ 6
& %& @ &% D =
. &%& @ $$% @ $&
1 6%& @ $6% @ $=
a. x2 + 5x + 6 = (x + ) (x + )Misalkan, x2 + 5x + 6 = ax2 + bx + c, diperoleh a = 1, b = 5, dan c = 6.
Untuk en!isi titik"titik, tentukan dua bilan!an #an! erupakan $aktor dari 6dan apabila kedua bilan!an tersebut di%u lahkan, hasiln#a sa a den!an 5.&aktor dari 6 adalah 6 dan 1 atau 2 dan ', #an! e enuhi s#arat adalah 2 dan
adi, x2 + 5x + 6 = (x + 2) (x + ')b. x2 + 2x * = (x + ) (x + )
en!an cara seperti pada (a), diperoleh a = 1, b = 2, dan c = *.&aktor dari * adalah 1, 2, , dan *. -leh karena c = *, salah satu daridua bilan!an #an! dicari pastilah bernilai ne!ati$. en!an de ikian, duabilan!an #an! e enuhi s#arat adalah 2 dan , karena 2 = * dan
2 + = 2.adi, x2 + 2x * = (x + ( 2)) (x + ) = (x 2) (x + )
a. 2x2 + 11x + 12 = 2x2 + 'x + *x + 12= (2x2 + 'x) + (*x + 12)= x(2x + ') + (2x + ')= (x + )(2x + ')
adi, 2x2 + 11x + 12 = (x + )(2x + ').b. 6x2 + 16x + * = 6x2 + x + 12x + *= (6x2 + x) + (12x + *)= 2x('x + 2) + ('x + 2)= (2x + )('x + 2)
adi, 6x2 + 16x + * = (2x + )('x +2)
OBSE(+A'ION S EE' O" A''I')DE ASSESS EN'
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School : SMPSubject : MathematicsGrade / Semester : VIII (Eight) / I (First)Topic : lgebra !actori"atio#
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o
cti*e 2ooperated Tolera#t G
$
G
&
VG
.
G
$
G
&
VG
.
G
$
G
&
VG
.
$
&
ote:
G : ot good H G : Good H VG : Ver, Good
LE BA( PEN&A A'AN PENILAIAN 2E'E(A PILAN
Mata Pelajara# : Matemati0a
Celas/Semester : VII/&
Tahu# Pelajara# : &'$1/&'$5
;a0tu Pe#gamata# : =' Me#it
I#di0ator terampil dalamme#,elesai0a# permasalaha# #,ata ,a#g ber0aita#de#ga# pe#gumpula# data
$ Cura#g terampil jika sama se0ali tida0 dapatme#,elesai0a#
permasalaha# #,ata ,a#g ber0aita# de#ga# pe#gumpula# data
& Terampil jika me#u#ju00a# sudah ada usaha u#tu0me#,elesai0a# permasalaha# #,ata ,a#g ber0aita# de#ga# pe#gumpula# data
. Sa#gat terampill+ jika me#u#ju00a# ada#,a usaha u#tu0me#,elesai0a# permasalaha# #,ata ,a#g ber0aita# de#ga# pe#gumpula# data
8ubuh0a# ta#da pada 0olom>0olom sesuai hasil pe#gamata#
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o ama Sis-a Ceterampila#Me#e#tu0a# metode > metode pe#gumpula# data
CT
$
T
&
ST
.$ Mulia#a Sari& aisah
Cetera#ga#:
CT : Cura#g terampil H T : Terampil H T : Sa#gat terampil
LEMBAR PENILAIAN PEMAHAMAN
Mata Pelajaran : Matematika
Kelas/Semester : VII/2
Tahun Pelajaran: 2014/2015
Waktu pengamatan : 0 Menit
No. LANGKAH KUNCI JAWABAN SEKOR
1.1
2
Banyak data (n) sama den an !. J"ka data "n" d"#$#tkan da$"yan te$ke%"&' d" e$o&eNo. U$#t *ata +1 +, +- + +/ +0 +!N"&a" *ata / 0 ! 23 *at#m te$ke%"& ada&a 41 5 .3 *at#m te$6esa$ ada&a 4! 5 2.
1/
20
,. 1 7eme$"nta e$ menent#kan ada 6e$a a 8 anak9anak #s"aseko&a yan 6e$ada d" desa9desa.7o #&as"nya ada&a se$#anak9anak #s"a seko&a
/
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1
2
a. Tabel skor dengan turus
Berat Badan Turus Frekuensi
40 IIIII 5
43 IIIII IIIII IIII 14
47 IIIII III 8
48 IIIII I 6
51 IIIII II 7
6. Banyak S"s:a yan 6e$at 6adannya - yakn" 1 s"s:a.
,/
/
1
,
Urutan umur ke sepuluh siswa tersebut dari yang
terkecil ke yang terbesar :6,6,6,7,8,8,9,9,10,10,
Selisih antara umur siswa yang termuda danyang tertua, yakni :
10 6 = 4
1/
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Jumlah skore 1;;
8a#jarmasi#+ Maret&'$1
Me#getahui
Cepala Se0olah Guru Mata Pelajara#
Standard o% Competence : #dersta#di#g the relatio#ship o! li#e to li#e+ li#eto a#gle+ a#gle to a#gle+ a#d determi#e its si"e
Basic Competence : 7etermi#i#g the relatio#ship bet-ee# the t-o
li#es+ the amou#t a#d t,pe o! a#gle
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Straight Angel
Right AngelObtuse AngelAcute Angel
Indicators : E%plai#i#g the di!!ere#t t,pes o! a#gles'ime A!!ocation : $ % .' mi#utes (o#e meet)
A. Aim o% LearningStude#ts ca# e%plai# the di!!ere#t t,pes o! a#gles
B. S$bject ateria!'ypes o% Ang!e
The a#gle is !ormed b, the co#!lue#ce area bet-ee# t-o ra,s or t-ostraight li#es
there are !our t,pes o! a#gles+ #amel,:a right a#gle b straight a#glec acute a#gled obtuse a#gle
9oo0 at the a#gle !ormed b, the t-o ha#d o! cloc0 i! the cloc0 sho-s :''at :''+ the ha#d o! cloc0 is !orm a right a#gle
A right angle is the angle that has a large 90
o-+ rotate short >cloc0-ise to #umber 6+ -ith lo#g>cloc0-ise !i%ed at#umber $& It appears that both the cloc0 !orm a straight a#gle
Straight angle is the angle that has a large 180
8esides right a#gle a#d straight a#gle+ there is still t,pe o! a#gle bet-ee#'J a#d 'J+ bet-ee# 'J a#d $='J+ a#d more tha# $='J
#gle -ith large a#gle bet-ee# 'J a#d 'J calledacute angle#gle -ith large a#gle bet-ee# 'J a#d $='J calledobtuse angle
E%ample uestio#:$ ;hat T,pe o! a#gle -ith large a#gel is $''JK& 7etermi#e the t,pe o! a#gles i# the image belo- -ithout measureK
. 7etermi#e the t,pe o! a#gle i! cloc0 at '. ''K
#s-er:$ #gle o! $'' J is a# obtuse a#gle
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& T,pes o! a#gles i# the image is a# acute a#gle. T,pe a#gle !ormed bet-ee# the cloc0 at '. '' is a right a#gle
C. Learning Activities1 Model : 2ooperati*e 9ear#i#g5 pproach : 2o#te%tual6 Method : 7ialogue+ e%positor,+ discussio#+ a#d assig#me#D. Steps o% Learning Activities
No
.Learning Activities 'ime
IN'(OD)C'ION 3 min$tes
'eacher St$dent$ Teacher greets all stude#t a#d
chec0s atta#da#ce o! stude#tsStude#ts greetbac0 a#d pra,i#g
& Teachers gi*e stude#ts
apperceptio#+ -hich mea#i#g o! a#gles
Stude#ts pa, atte#tio# to the
teacher a#d a#s-er theteacher3s uestio#s
. The teacher -rites the title a#dgoal o# the board
Pa, atte#tio#
AIN AC'I+I'IES 45 min$tes$ Teacher e%plai#s about the t,pes
o! a#gelsPa, atte#tio#
& I#struct stude#ts to ma0e group o! discuss (1>5 stude#ts) Stude#ts ma0e group
. Teacher gi*es -or0sheet tostude#ts
Stude#ts recei*e the-or0sheet
1 Teacher as0s the stude#ts to sol*e problems that e%ist i# the
-or0sheets stu!!i#g+ a#d the#
Stude#ts sol*e the problemsthat e%ist i# the -or0sheet
stu!!i#g
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discuss it i# group5 &$6)
". Assessment
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Indicators o%
achievement
'ype o%
Assessment
'ypes o% instr$ment
sInstr$ments 6 Prob!em Score
E%plai#i#g thedi!!ere#t t,peso! a#gles
The -ritte#test
testdescriptio#
$ T,pe o! a#gle does the imagea#gle o# the !ollo-i#gi#strume#tsK
ans!er :
The picture abo*e is a#obtuse a#gle
& 7etermi#e the t,pe o! a#gle is!ormed bet-ee# the seco#dcloc0 at the !ollo-i#g timesa at $5:''
b at$ :$5c at $1 .'
ans!er :
a right a#gle b obtuse a#glec acute a#gle
. T,pe o! a#gle is &&5J K
ans!er :
&&5J is a re!le% a#gel
&'
&'
&'
&'
&'
total : $''
8a#jarmasi#+ 6 pril &'$.
Teacher o! Tutor #i*ersit, Stude#t
120
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PCMuhammad 8asil IM $2$'''$
Ceterampila# dasar me#gajar ,a#g dite0a#0a#:
$ Ceterampila# membu0a da# me#utup pelajara#& Ceterampila# me#gelola 0elas. Ceterampila# me#jelas0a#1 Ceterampila# me#gada0a# *ariasi