RPPLESSON PLAN

School Name : SMA

Mata Pelajaran : Mathematics

Class/Semester : X / I

MateriPokok : EksponendanLogaritma

Time Allocation : 2 x 45 menit

School Name : SMA

Mata Pelajaran : Mathematics

Class/Semester : X / I

Materi Pokok : Eksponen dan Logaritma

Time Allocation : 2 x 45 menit

A. Kompetensi Inti

KI 1: Menghayati dan mengamalkanajaranagamayangdianutnya.

KI 2: Menghayatidanmengamalkanperilakujujur, disiplin, tanggungjawab, peduli (gotongroyong, kerjasama, toleran, damai),santun, responsifdan pro-aktifdanmenunjukkansikapsebagaibagiandarisolusiatasberbagaipermasalahandalamberinteraksisecaraefektifdenganlingkungansosialdanalamsertadalammenempatkandirisebagaicerminanbangsadalampergaulandunia.

A. Core Competencies

KI 1: appreciate and practice the teachings of the religion.

KI 2: Appreciating and practicing honest behavior, discipline, responsibility, caring (teamwork, cooperation, tolerance, peace), polite, responsive and pro-active attitude and show as part of the solution to many problems in interacting effectively with the social environment danalam and in placing itself as a reflection of a nation in the eyes of the world.

KI 3: Memahami, menerapkan,danmenganalisispengetahuanfaktual, konseptual, prosedural, danmetakognitifberdasarkan rasaingintahunyatentangilmupengetahuan, teknologi, seni, budaya, danhumanioradenganwawasankemanusiaan, kebangsaan, kenegaraan,danperadabanterkaitpenyebabfenomenadankejadian, s

ertamenerapkanpengetahuanproseduralpadabidangkajianyangspesifiksesuaidenganbakatdanminatnyauntukmemecahkanmasalah.

KI 4: Mengolah, menalar,

d

anmenyajidalamranahkonkretdanranahabstrakterkaitdenganpengembangandariya

ngdipelajarinyadi sekolahsecaramandiri,

b

ertindaksecaraefektifdankreatif,sertamampumenggunakanmetodasesuaikaidahkeil

muan.

KI 3: Understand, implement, and analyze the knowledge of factual, conceptual,

procedural, and meta-cognitive by curiosity about science, technology, arts,

culture, and humanities with human insight, national, state, and civilization-

related causes of phenomena and events , as well as applying procedural

knowledge in a specific field of study according to their talents and interests

to solve problems.

KI 4: Rework, reasoning, and menyaji in the realm of the concrete and the

abstract realm associated with the development of the learned in school

independently, act creatively fdan effectiveness, as well as being able to use

the method according to the rules of science.

B. KompetensiDasardanIndikatorPencapaian

2.1 Memilikimotivasiinternal, kemampuanbekerjasama, konsisten, sikapdisiplin, rasa percayadiri, dansikaptoleransidalamperbedaanstrategiberpikirdalammemilihdanmenerapkanstrategimenyelesaikanmasalah.

2.2 Mampumentransformasidiridalamberperilakujujur, tangguhmengadapimasalah, kritisdandisiplindalammelakukantugasbelajarmatematika.

2.3 Menunjukkansikapbertanggungjawab, rasa ingintahu, jujurdanperilakupedulilingkungan.

3.1 Memilihdanmenerapkanaturaneksponendanlogaritmasesuaidengankarakteristikpermasalahanyang akandiselesaikandanmemeriksakebenaranlangkah-langkahnya.Indikator :- menemukansifat-sifatpangkatbulatpositif- menyelesaikanmasalahdenganmenggunakansifat-sifatpangkatbulatpositif

4.1.Menyajikanmasalahnyatamenggunakanoperasialjabarberupaeksponendanlogaritmasertamenyelesaikannyamenggunakansifat- sifatdanaturanyangtelahterbuktikebenarannya.Indikator :- terampilmenyelesaikanmasalah yang

berkaitandengansifat-sifatpangkat/eksponenB. Basic Competencies and Indicators of Achievement2.1 Has internal motivation, ability to cooperate, consistent, discipline, confidence, and tolerance in diversity strategy thinking in selecting and implementing a strategy to solve the problem.2.2 Able to transform themselves into behaving honestly, facing tough problems, critical and disciplined in performing the task of learning math.2.3 Demonstrate a responsible attitude, curiosity, honesty and behavior of environmental care.3.1 Selecting and applying the rules of exponents and logarithms according to the characteristics of the problems to be solved and verify the steps.Indicators:- Discover the properties of the rank of positive integers- Solve problems by using the properties of the rank of positive integers4.1.Menyajikan real problem using operat ialjabar form of exponents and logarithms and solve them using the properties and rules that have been proven true.Indicators:- Skilled solve problems related to the properties of rank / exponent

C. TujuanPembelajaran

Melaluikegiatandiskusidan model discovery learning dalampembelajaraneksponendanlogaritmadiharapkansiswabisabekerjasama, konsistendandisiplin,sertasiswadapat1. menemukansifat-sifatpangkatbulatpositif2. menyelesaikanmasalahdenganmenggunakansifat-sifatpangkatbulatpositif3. terampilmenyelesaikanmasalah yang berkaitandengansifat-sifatpangkat/eksponen

C. Learning ObjectivesThrough discussion and discovery learning models in learning exponents and logarithms students are expected to be working, consistent and disciplined, and students can1. find the properties of the rank of positive integers2. solve the problem by using the properties of the rank of positive integers3. skilled solve problems related to the properties of rank / exponent

D. MateriPembelajaran

1. BentukpangkatPangkatbulatpositif

Bentukpangkat an = a x a x a x…x a

Nfaktorperkalian

D. Learning Materials

1. The form of rank

Promotion of positive integerselevated form

2. PangkatbulatnegatifPadapangkatbulatnegatifberlaku :

an= 1a−n dana−n= 1

an

2. Promotion negative integerOn the negative spherical power effect:

3. PangkatnolRank zeroa0=1

4. Sifat – sifata. ap x aq = ap+q

b. ap : aq = a p-q , a ≠ 0c. (ap)q = apq

d. (ab)p = ap . bp

e. ( ab ) p = a

p

bp

E. MetodePembelajaranModel :Discovery LearningMetode :diskusikelompok, penemuanterbimbing, tanyajawab.

E. Learning MethodModel: Discovery LearningMethods: group discussions, guided discovery, question and answer.

F. Media PembelajaranLKS, kertas

G. Sumber BelajarBuku Siswa Kemendikbud, 2013

F. Media LearningLKS, paperG. Learning ResourcesStudent book Kemendikbud, 2013

H. Langkah-langkahPembelajaranKegia

tan DeskripsiKegiatan Waktu

Pendahuluan

1. Guru memberikanapersepsitentangkonsepbilanganpangkat.2. Guru

memberikanmotivasitentangkegunaanekponendanlogaritmadalamkehidupansehari-hari

3. Guru menyampaikantujuanpembelajaran yang ingindicapai.1. The teacher gives apersepsi concept of rank numbers.2. Teachers provide motivation about the usefulness ekponen and logarithms in everyday life3. Teacher deliver learning objectives to be achieved.

TahapStimulation

4. Guru memberikanstimulan/rangsanganberupasoal yang sekiranyasulitdikerjakanlangsungolehsiswa, sehinggasiswaakanpenasaranbagaimanacaramenyelesaikannya (misalkanberapakahjumlahdaridigit-digit dari 22014. 52010)TahapStimulation4. Teacher gives stimulant / stimulus in the form of questions that sekiranyas ulitdikerjakan directly by students, so that students will be curious about how to complete (eg, what is the sum of the digits of 52010 22014.

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IntiTahapProblem statement

1. Guru membagikelasdalambeberapakelompokdenganmasing-masingkelompokterdiridari3-4anggota.

2. Guru membagikan LKS (terlampir)untukdidiskusikanolehsiswa. 3. Denganaktifsisw

amencermatidanmengamatiLembarKerjaSiswa yang telahdibagikan gurudanberpikirbagaimanacaramenyelesaikannya.

4. Siswadenganbekerjasamadalam 1 kelompokberusahauntukmenyelesaikankegiatanyang adapada LKS.

1. The teacher divides the class into groups with each group consisting of 3-4 members.2. Teacher gives LKS (attached) to be discussed by the students.

15menit

3. With the active students examine and observe the Student Worksheet that has been shared teachers and think about how to solve it.4. Students are to work together in one group trying to resolve the existing activities on the worksheet.

TahapData collection

5. Siswaberdiskusimengumpulkan data-data yang adadi LKS (denganmenyelesaikannya) yang berkaitandengansifat-sifatpangkatbulatpositif5. Students discuss collecting data in LKS (to finish) relating to the properties of the rank of positive integersTahapData Processing

6. Denganberdiskusisiswamengolah data (denganmenyelesaikan LKS)yang diperoleh. 7. By discussing the students process the data

(denganmenyelesaikan LKS) is obtained

8. Siswakemudiansebagaimembuathipotesis (dugaan) tentangsifat-sifatpangkatbulatpositif8. Students then as hypothesized (alleged) about the properties of the rank of positive integersTahap Verification

9. Siswamengecek (memverifikasi) hipotesistentangsifat-sifatpangkatbulatpositif ,denganmencobakanbeberapamasalahdenganmembandingkanhasilnyadengancarasifatdandengancaramenghitungnilaisebenarnyatanpasifat.

10.Siswamempresentasikanhasildiskusikelompoknyakedepankelas11.Guru bersamasiswamendiskusikanhasildaripresentasisiswa.12.Guru memberikansoal yang terkaitdenganSifat-sifatpangkat

(Bukusiswa, UjiKompetensi 1.1 No 1 sampai 2 hal 16)13.Guru memberikansoaluntukdikerjakansiswadandikumpulkan

9. Students check (verify) hypotheses about the nature of the rank of positive integers, to try out some problems by comparing the results by nature and by calculating the true value without nature.10. Students present their group discussion results to the class11. The teacher and students discuss the results of the students' presentation.12. The teacher gives a matter related to the properties of the rank (Bukusiswa, 1.1 Competency Test No. 1 to 2 point 16)13. Teachers give students about to be done and collected

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20 menit

25 menit

Penutup TahapGeneralization

14. Siswabersama guru menyimpulkantentangSifat-sifatpangkatbulatpositif.

15.Guru memberikan PR untukdikerjakan di rumahsebagailatihanmandiri.(UjiKompetensi 1.1 padaBukuSiswaHalaman 16 – 17, No 3 – 12)

16.Guru menginformasikankegiatanpadapertemuanberikutnya.17.Guru mengakhirikegiatanbelajar

14. Students with the teacher concludes on properties rank unanimously positive.15. Teachers give homework to do at home as a standalone exercise. (Competency Test 1.1 padaBuku Students Page 16-17, No. 3-12)16. The teacher informed of activities at the next meeting.17. Teachers terminate learning activities

10 menit

I. Penilaian1. Teknik penilaian : pengamatan, testertulis2. ProsedurPenilaian

I. Assessment

1. Valuation techniques: observation, testertulis

2. Assessment Procedures

No Aspek yang dinilai Teknik

Penilaian Waktu Penilaian

1.

Sikap

a. Bekerjasamadalamkegiatandiskusib. Konsistendalammelakukansesuatuc. Disiplindalamkegiatanpembelajaranek

sponenattitudea. Cooperate in discussionsb. Consistent in doing somethingc. Discipline in learning activities exponent

Pengamatan Selamapembelajarandansaatdiskusi

2.

Pengetahuan

1. menemukansifat-sifatpangkatbulatpositif

2. menyelesaikanmasalahdenganmenggunakansifat-sifatpangkatbulatpositifknowledge1. find the properties of the power of

Tes Penyelesaian tugas individu dan kelompok

No Aspek yang dinilai Teknik

Penilaian Waktu Penilaian

positive integers2. solve the problem by using the properties of the power of positive integers

3.

Keterampilan

1. Terampilmenggunakansifat-sifatpangkatuntukmenyelesaikanmasalaheksponen.skills1. Skillfully using the properties of exponents rank to resolve the issue.

TesdanPengamatan

Penyelesaiantugas (baikindividumaupunkelompok) dansaatdiskusi

3. IntrumenPenilaianHasilBelajarTestertulis

1. Sederhanakan( a−1+b−1

a−2 – b−2 )2

3 Instruments Assessment of Learning Outcomeswritten test1. Simplify

KunciJawabandanPenskoran:

( a−1+b−1

a−2 – b−2 )2

= (1a+ 1

b1a2 −

1b2 )

2

…………………………………. Skor 2

= (b+aab

b2−a2

a2b2 )2

………………………………….. skor 4

=( b+aab

. a2b2

b2−a2 )2

…………………………… skor6

= ( b+aab

. (a .b)2

b2−a2 )2

=( (b+a )1 . a . b

( b−a )(b+a))2

……………………..…… skor 8

= ( a . b(b−a ) )

2

= ( (ab)2

(b−a)2 )❑

= ( a2b2

b2−2ba+a2 )❑

= a2b2

a2−2 ab+b2 ………………………………….. skor 10

NILAI = SKOR

Mengetahui Guru Mata PelajaranKepala SMA

LEMBAR PENGAMATAN PENILAIAN SIKAP

Mata Pelajaran : MatematikaKelas/Semester : X/1Tahun Pelajaran : 2013/2014Waktu Pengamatan : 2 x 45 menit

OBSERVATIONS ASSESSMENT SHEET POSITION

Subject: Mathematics

Class / Semester: X / 1

School Year 2013/2014

Observation time: 2 x 45 minutes

Indikator sikapbekerjasamadalamkegiatankelompok.

1. Kurang baikjika sama sekali tidak berusaha untuk bekerjasamadalamkegiatankelompok.2. Cukup Baik jika sudah ada usaha untuk bekerjasamadalamkegiatankelompok3. Baikjika menunjukkan sikapbekerjasamadalamkegiatankelompok tetapi masih belum

ajeg/konsisten.4. Sangat baikjika selalumenunjukkan bekerjasamadalamkegiatankelompok.

Attitude indicator cooperate in group activities.

1. Less well if it did not seek to cooperate in group activities.

2. Good Enough if there have been efforts to work together in group activities

3. Well if it shows the attitude of working together in group activities but still steady / consistent.

4. Excellent if always shows cooperate in group activities.

Indikator sikapkonsistendalampembelajaraneksponendanlogaritma.

1. Kurang baikjika tidakmenunjukkan sama sekali sikap konsisten2. Cukup Baikjikamenunjukkan sikap konsisten kadang-kadang3. Baikjika sudah sering menunjukkan sikap konsisten dalam pembelajaran4. Sangat baikjika selalu menunjukkan sikap konsisten

Indicators consistent attitude in learning exponents and logarithms.1. Less well if it does not show at all consistent attitude2. Good Enough jikamenunjukkan consistent attitude sometimes3. Well if it is often demonstrated a consistent attitude in learning4. Very baikjika always shown consistent attitude

Indikatorsikapdisiplinterhadapproses pemecahanmasalah yang berbedadankreatif.

1. Kurangbaikjikasiswaselaluhadirataumengumpulkantugasterlambat2. Cukup Baikjikasiswahadirataumengumpulkantugasterlambat 2 kali3. Baikjikasiswahadirataumengumpulkantugasterlambat 2 – 4 kali4. Sangat baikjika selalu hadir atau mengumpulkan tugas tepat waktu

Indicators of discipline to the process of solving the problem of different and creative.1. Less well if the student is always present or collect overdue tasks2. Good Enough if the student is present or collect overdue task 2 times3. Well if the student is present or collect overdue tasks 2-4 times4. Excellent if always present or collect assignments on time

Bubuhkan tanda √pada kolom-kolom sesuai hasil pengamatan.

No NamaSiswa Sikap

Kerjasama Konsisten Disiplin

SB B C K SB B C K SB B C K

1 Ani

2 Ana

3 Anu

4 Ane

5 Ano

Keterangan:KB : Kurangbaik B : BaikC : CukupBaik SB : SangatBaik

LEMBAR PENILAIAN KETERAMPILAN

Mata Pelajaran : MatematikaKelas/Semester : X/1Tahun Pelajaran : 2013/2014Waktu Pengamatan :

SKILLS ASSESSMENT SHEET

Subject: Mathematics

Class / Semester: X / 1

School Year 2013/2014

Observation time:

Bubuhkan tanda √pada kolom-kolom sesuai hasil pengamatan.

No NamaSiswa Keterampilan

Menerapkankonsep/prinsipsifat-sifatbilanganpangkat

Concept / principle attributes of power

KT CT T ST

1 Ini

2 Tia

3 Uti

4 Ita

5 Itu

Indikator terampilmenerapkankonsep/prinsipdanstrategipemecahanmasalah yang relevan yang berkaitandengansifat-sifatbilanganpangkat

1. Kurangterampiljika sama sekali tidak dapatmenggunakankonsepsifat-sifatbilanganpangkat2. CukupterampilJikasiswahanyadapatmenggunakansatusifatbilanganpangkat3. Terampiljika siswasudah dapat menggunakan 2 atau 3 sifat bilangan pangkat

4. Sangat terampill, jika siswasudah dapat menggunakan sifat bilangan pangkat lebih dari 3 sifat.

Indicators skillfully apply the concepts / principles and relevant problem solving strategies related to the properties bilanganpangkat

1. Less skilled if at all can not use the concept of the properties rank number

2. Self-skilled If students can only use one rank numbers properties

3. Skilled if students are able to use 2 or 3 properties rank number

4. Very terampill, if students are able to use the properties rank number more than three properties.

LEMBAR KERJA SISWA

STUDENT WORKSHEET

INSTRUCTIONS !!

1. READ THE STUDENT WORKSHEET (LKS) WITH CAREFUL AND METICULOUS

2. WORK TOGETHER AND DISCUSS THIS LKS GROUP

3. TIME = 30 MINUTES

Petunjuk!!1.BacalahLembarKerjaSiswa (LKS) dengancermatdanteliti2.Kerjakandandiskusikan LKS inibersamakelompok3.Waktu = 30 menit

KEGIATAN 1:

23x 24 = ( 2 x 2 x 2).(…. x ….)

= ( 2 x … x …. x … x ….)

= 2 …

Jadi23x 24 = 2 …

52 x 54 = ( … x … ).( … x … x … x … )

= (… x … x … x … x … x … )

= 5…

Jadi52x 54 = 5 …

Denganalur yang sama, jabarkanbentuk di bawahini

With the same groove, describe the form below

1) 75 x 73

2) 64 x 65

Dari hasilpenjabaran di atasperhatikanhasilakhirnya. Letakkanpadatabel di bawahini.

From the translation of the above note the end result. Put in the table below.

BentukAwal BentukAkhir

23x 24 2 …

…………. ………..

…………. ………..

Apakahadahubungandenganbilanganpangkatnya? Jikaada,apahubunganya?

Diskusikandengantemanmu!

Is there a relationship with rank numbers? If there is, what hubunganya? Discuss with your

friends!

KEGIATAN 2

Denganmenggunakanalurpenjabaran yang samadengankegiatan di atas,

diskusikandengantemanmu,

hubunganantarapenjabaranbentukberikutinidenganbentukakhirnya.

ACTIVITY 2

By using the same translation groove with the above activities, discuss with your friends,

the relationship between the elaboration of the following forms with the final form.

1. a) 26

24 b) 55

52

c)37

36 d) 78

75

2. a) (32)3 b) (53)2

c) (72)4 d) (45)2

3. a) (23 x 53) b) (34 x 24)

c) (72 x 112)

4. a) 35

25 b) 73

53

c) 34

44

Dari 2 kegiatan di atas, diskusikandengantemanmu, sifat-sifatapasaja yang bisakamudapatkandaripangkatbilanganbulatpositif. Kemudiantuliskanpadakotakberikut.

Of 2 above activities, discuss with your friends, any properties that you can get from the rank of positive integers. Then write in the box below.

SIMPULAN

am x an = ….. (am)n = …..

am

an = …….. (am x bm) = ….

am

bm = …….