algebraic operations

School : SMP Al-Falah Deltasari

Sidoarjo

Subject : Mathematics

Grade/Semester : VIII/1

Main Material : Factorization of algebraic

terms

Standard of Competence : Understanding

algebraic, relation, function

and straight line equations

Time : 4 x 40’

_________________________________________________________________________

A. Basic Competence

Doing the algebraic operation

B. Indicators

1. To solve the addition, subtraction operation of algebraic form.

2. To solve the multiplication, division and power operation of

algebraic form

C. Objectives

After learning the lesson, students are able to:


2. To solve the multiplication, division and power operation of

algebraic form

D. Material

The algebraic operations

Algebraic form a. Monomial unit such as: x, 12bc6 and p4

b. 30b2c9 – 12 b2c9 = 18 b2c9

c. 5x5y6 + 10 x5y6 = 15 x5y6

d. 4x2y3 x 5x3y4 = 20x5y7

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Lesson Plan

e. (p4)2 = p8

E. Learning Resources

1. Students Book

2. Worksheet

3. Power point

F. Tools and Materials

1. Algebraic Tile

2. LCD

3. Laptop

G. Teaching and Learning Activities

Learning Model : Cooperative learning (STAD)

Methods : Recitation and discussion.

Activities Steps :

First Meeting

I. Introduction (about 10’)

Greetings

Basmalah

Hamdalah

Syahadatain

Sholawat

Phase 1: Informing the aim and giving motivation to the students.

1. Students remind the definition of algebraic form, variable,

coefficient, constant, term, polynomial and the like term that

they already learn it in grade VII

2. Tell students that they will learn about algebraic operations

(for today addition and subtraction) and convey the learning

direction

3. Tell students solve a problem which algebraic operation

concept, for example: to classify things such as Daddy go to

fast food restaurant and order 2 French fries, 2 hamburger,

and 1 soda

II. Main Activity (about 65’)

Phase 2: Giving information

2

4. Explain the material and use algebraic tile to demonstration

how to simplification of algebraic forms

Example:

1. Simplifying with use algebraic tile!

Group the similar models! If there are zero pairs in the group,

then all zero pairs are deleted.

The Results is …

Thus, the simple form of is

2. Simplify algebraic forms with algebraic

tile!

3

Tile of

Tile of 1

Tile of

Tile of ( 1)

Tile of

Tile of

Deleting the Zero Pair

Tile of

Tile of 1

Tile of

Tile of ( 1)

Tile of

Tile of

Thus, the simple form of is

Phase 3: Organizing students

5. Organize students into groups of 4 students which heterogenic

student.

6. Each group get a worksheet 1

7. Students do the worksheet 1 belong 30’.

Phase 4: Guiding practice in learning group

8. Help students who has problem with the worksheet 1

Phase 5: Evaluation

9. Students collect the worksheets 1

10. Students and teacher discuss together about the

worksheet 1

11. Students do the quiz 1 by their self

12. Collect the quiz 1

Phase 6: Giving appreciation

13. The best group (have a good result) get a prize and give

motivation to the group whose the results are not good.

III. Closing (about 5’)

14. Guide students to make a summary of the learning.

15. Students do the exercise in the text book as homework.

16. Students study next topics about multiplication of the

algebraic form

Second Meeting

J. Introduction (about 10’)

4

Deleting the Zero Pair

Greetings

Basmalah

Hamdalah

Syahadatain

Sholawat

Phase 1: Informing the aim and giving motivation to the students.

Apperception

1. Students and teacher discuss the homework with students

2. Students remind the properties of exponent that they have

learned in grade VII,

3. Tell students that they will learn about algebraic operation (for

today are multiplication, division, and power of algebraic form

4. Motivating students that they can solve a problem using

operation of algebraic multiplication, for example: to know the

possibility of a little rabbit which is produced from crossing a

black rabbit (dominant homozygote) and a white rabbit

(recessive homozygote)

K. Main Activity

Phase 2: Giving information

4. Explain the material and use algebraic tile to demonstration

how to multiplication of algebraic forms

Example:

Determine the result of !

5

Tile of 1 :Tile of :Tile of :

1st Step: Make a rectangular with width and height

2nd Step: Use algebraic tiles which suitable with rectangular

until the rectangular covered

3rd Step: Add the area of algebraic tile

And you will find that:

Beside that, you can find the result of with using

distributive properties that you have learned in grade VII:

=

Learn about Mendel law

As example at the beginning to know the possibility of a little

rabbit which is produced from crossing a black rabbit

(dominant homozygote) and a white rabbit (recessive

homozygote)

+

B b

B BB Bb

b Bb bb

When the parental genes are combines, then all the

combinations possible are:

(B + b)(B + b) = BB +Bb + Bb + b

= BB + 2Bb + b

We can write (B + b)(B + b) as (B + b)2

Phase 3: Organizing students

5. Organize students into groups of 4 students which heterogenic

student.

6. Each group get a worksheet 2

7. Students do the worksheet 2 belong 30’.

6

Phase 4: Guiding practice in learning group

8. Help students who has problem with the worksheet 2

Phase 5: Evaluation

9. Students collect the worksheets 2

10. Students and teacher discuss together about the

worksheet 2

11. Students do the quiz 2 by their self

12. Students collect the quiz 2

Phase 6: Giving appreciation

13. The best group (have a good result) get a prize and give

motivation to the group whose the results are not good.

L. Closing

14. Guide students to make a summary of the learning

15. Students do the exercise in the text book as homework

16. Students study next topics about factorize the algebraic

form

H. Evaluation

Type of assessment : Written test

Form of instrument : Subjective test

Example of instrument : Questions in worksheet and quiz

Known by, Sidoarjo, 17 July 2009

The Headmaster of a.n. Mathematics PPL

Team

Al-Falah Junior High School Deltasari

Drs. Sodikin, M. Pd. Izzatul Yazidah

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WORKSHEET 1

1. Simplifying the algebraic form below!

a.

b.

c.

2. If , , , determine!

a.b.c.

3. Given a parallelogram with the measure of

angle are shown on the picture.

Determine amount both of the angels!

→ (Use properties of adjacent angle in parallelogram)

WORKSHEET 1

4. Simplifying the algebraic form below!

d.

e.

f.

5. If , , , determine!

d.e.f.

6. Given a parallelogram with the measure of

angle are shown on the picture.

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Determine amount both of the angels!

→ (Use properties of adjacent angle in parallelogram)

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QUIZ 1

1. Write down three polynomial. Explain why they are polynomial!

2. Simplifying the algebraic form:

3. The measure of two angles in right triangle

are shown on the picture. Find the measure of

the three angles!

QUIZ 1





the three angles!

QUIZ 1





the three angles!

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WORKSHEET 2

1. Calculate !

a. By using algebraic tile, we get:

1 1 1 1

1 2 3 4 5 6

1 7

10 11 12 131 8

1 9

=

= … + … + … + … + … + … + … + … + … + … + … + … + … + …

= …………………………….

b. By using scheme:

= …..+…...+…...+……= ………………….

c. By using distributive properties:

= ……………….

QUIZ 2

1. Simplify the algebraic forms: 7m + 3[4m + 5(2 – m) – 3]

2. Fill the blanks!

a. (3x + 4)2 = …

b. (y2 + 10)(y2 – 12) = …

12

1

2

3

4

3. A tube has radius r(x) = 2x – 3x and the height is t(x) = x – 5. Find volume V(x) of the tube!

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RUBRICS OF SCORING

a. Cognition

Score answer

4 Value and right graph

3 Right counting, graph is not perfect

2 Counting is not perfect, graph is not perfect

1 Counting is not perfect, the wrong graph

0 Not answer

b. Affection

Score Responsibility

4: 81-90 Doing 4 number of questions



1: 60 Doing 1 number of questions

0: 0 Don’t do anything

c. Skill

Score Ability

4: 81-90 Correctly function table , correctly summary, and right

function graph

3: 71-80 Correctly function table , summary, and less than

function graph

2: 61-70 Correctly function table, didn’t summary less than

function graph

1: 60 The table of function not complete didn’t have

summary and so bad the function of graph.

0: 0 The answer of empty

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KEY OF WORKSHEET 1

1. The Simplify form:

a.

b.

c.

2. We get:

a.

b.

c.

3. Amount both of the angels:

KEY OF WORKSHEET 2

2. Calculate !

b. By using algebraic tile, we get:

1 1 1 1

1 2 3 4 5 6

1 7

10 11 12 131 8

1 9

=

= + + + + + + + 2 + +3 + 3 + 3 + 3

= + 10 + 12

b. By using scheme:

15

1

2

= + 4 + 6 +12= + 10 +12

c. By using distributive properties:

= + 4 ) + (6 +12)

= + 10 +12

KEY OF QUIZ 2

1. 7m + 3[4m + 5(2 – m) – 3]= 7m + 3[4m + (10 – 5m) – 3]

= 7m + 3(4m + 10 – 5m – 3)

= 7m + 3(4m – 5m + 10 – 3)

= 7m + 3(-m + 7)

= 7m + (-3m + 21)

= 7m – 3m + 21

= 4m + 21

2. a. (3x + 4)2 = (3x + 4)(3x + 4)

= 3x(3x + 4) + 4(3x + 4)

= 9x2 + 12x + (12x + 16)

= 9x2 + 24x + 16

b. (y2 +10)(y2 – 12) = y2(y2 – 12) + 10(y2 – 12)

= y4 – 12y2 + (10y2 – 120)

= y4 – 12y2 + 10y2 – 120

= y4 – 2y2 – 120

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3

4

Table of Student Scoring

No Team

(member)Cognitiv

e Affectiv

e Skill Note

1. Team …………..a) ……………………

b) ……………………

c) ……………………

d) ……………………

e) …………………....

f) ……………………

2. Team …………..a) ……………………

b) ……………………

c) ……………………

d) ……………………

e) …………………....

f) ……………………

3. Team …………..a) ……………………

b) ……………………

c) ……………………

d) ……………………

e) …………………....

f) ……………………

4. Team …………..a) ……………………

b) ……………………

c) ……………………

d) ……………………

e) …………………....

f) ……………………

5. Team …………..a) ……………………

b) ……………………

c) ……………………

d) ……………………

e) …………………....

f) ……………………

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KEGIATAN HARIAN MNAHASISWA PPL

Di ……………………………..

Nama Mahasiswa : ……………………………..

NO. Reg : ……………………………..

Jurusan /Fakultas : ……………………………..

Hari/ Tanggal/

PukulNama Kegiatan

Kemampuan/ pengalaman yang diperoleh

Guru Pamong/ Pembimbing/ Anara

Sumber

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IPKG

INSTRUMEN PENILAIAN KINERJA GURU

1. Nama Guru : …………………2. NIM : …………………3. Sekolah : …………………4. Kelas : …………………5. Mata Pelajaran : …………………6. Waktu : …………………7. Tanggal : …………………

NO. ASPEK YANG DIAMATI SKOR

I Pembelajaran 1. Memeriksa kesipan ruang, alat pembelajaran, dan media 1 2 3 42. Memeriksa kesiapan siswa 1 2 3 4

II Membuka Pelajaran1. Melakukan kegiatan apersepsi 1 2 3 42. Menyampaikan kompetensi yang akan dicapai dan rencana kegiatan 1 2 3 4

III Kegiatan Inti PembelajaranA. Penguasaan Materi Pelajaran 1 2 3 41. Menunjukkan penguasaan materi pelajaran 1 2 3 42. Mengaitkan materi denagn pengetahuan yang relevan 1 2 3 43. Menyampaikan materi sesuai dengan hierarki belajar 1 2 3 44. Mengaitkan materi dengan realitas kehidupan 1 2 3 45. Mengintegrasikan prinsip – prinsip kerja ilmiah dalam pembelajaran 1 2 3 4

B. Pendekatan/ Strategi Pembelajaran1. Melaksanakan pembelajaran sesuai dengan kompetensi yang akan dicapai 1 2 3 42. Melaksanakan pembelajaran sesuai dengan tingkat perkembangan dan

kebutuhan siswa 1 2 3 4

3. Melaksanakan pembelajaran secara runtut 1 2 3 44. Melaksanakan pembelajaran yang terkoordinasi 1 2 3 45. Melaksanakan pembelajaran yng bersifat konstektual 1 2 3 46. Mengakomodasi adanya keragaman budaya nusantara 1 2 3 47. Melaksanakan pembelajaran yang memungkinkan tumbuhny kebiasaan positif 1 2 3 48. Melaksanakan pembelajaran sesuai dengan waktu yang dialokasikan 1 2 3 4

C. Pemanfaatan Media Pembeiajaran/ Sumber Belajar1. Menunjukkan keterampilan dalam menggunakan media 1 2 3 42. Menghasilkan pesan yang menarik 1 2 3 43. Menggunakan media secara efectif dan efisien 1 2 3 44. Melibatkan siswa dalam pemanfaatan media 1 2 3 45. Melibatkan siswa dalam pemanfaatan sumber belajar 1 2 3 4

D. Pembelajaran yang Memicu dan Memelihara Keterlibatan Siswa1. Menumbuhkan partisipasi aktif siswa dalam pembelajaran 1 2 3 42. Merespon positif partisipasi siswa 1 2 3 43. Memfasilitasi interaksi guru, siswa, dan sumber belajar 1 2 3 44. Menunjukkan sikap terbuka terhadap respon siswa 1 2 3 4

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5. Menunjukkan hubungan antar pribadi yang kondusif 1 2 3 46. Menumbuhkan keceriaan dan antusiasme siswa dalam belajar 1 2 3 4

E. Penilaian Proses dan Hasil Belajar1. Melakukan penilaian awal 1 2 3 42. Memantau kemajuan siswa 1 2 3 43. Melakukan penilaian akhir sesuai dengan kompetensi 1 2 3 4

F. Penggunaan Bahasa1. Menggunakan bahasa lisan secara jelas dan lancar 1 2 3 42. Menggunakan bahasa tulis yang baik dan benar 1 2 3 43. Menyampaikan pesn dengan gaya yang sesuai 1 2 3 4

IV PenutupA. Refleksi dan Rangkuman Pembelajaran1. Melakukan refleksi pembelajaran dengan melibatkan siswa 1 2 3 42. Menyusun rangkuman dengan melibatkan siswa 1 2 3 4

B. Pelaksanaan Tindak Lanjut1. Memberikan arahan, kegiatan, atau tugas sebagai bahan remidi 1 2 3 42. Memberikan arahan, kegiatan, atau tugas sebagai bahan pengayaan 1 2 3 4

Komentar Pengamat:

PengamatNama : ……………………Jabatan : ……………………

…………………,……………………..Pengamat

(………………………………..)

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Answer sheetIndicators The Learning Achievement


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Name / No.:1.2.3.4.5.6.Class:

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algebraic operations

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