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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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-

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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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20

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