This document outlines a lesson plan for an 8th grade mathematics class at SMP Al-Falah Deltasari Sidoarjo. The lesson focuses on factorizing algebraic terms and involves cooperative learning activities. Students will learn about addition, subtraction, multiplication, division and exponent operations of algebraic forms through examples, worksheets and quizzes. The teacher will use algebraic tiles and distributive properties to demonstrate operations. Students will work in groups and receive guidance, evaluation and feedback throughout the two lesson meetings.
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Algebraic operations
1. 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:
1. To solve the addition, subtraction operation of algebraic form.
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. 30b2
c9
– 12 b2
c9
= 18 b2
c9
c. 5x5
y6
+ 10 x5
y6
= 15 x5
y6
d. 4x2
y3
x 5x3
y4
= 20x5
y7
e. (p4
)2
= p8
E. Learning Resources
1
Lesson Plan
2. 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
4. Explain the material and use algebraic tile to demonstration how to
simplification of algebraic forms
2
Tile of Tile of
3. 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 1
Tile of
Tile of ( 1)
Tile of
Deleting the Zero Pair
Tile of
Tile of 1
Tile of
Tile of ( 1)
Tile of
Tile of
4. 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’)
• Greetings
• Basmalah
• Hamdalah
4
Deleting the Zero Pair
5. • 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 !
1st
Step: Make a rectangular with width and height
5
Tile of 1 :Tile of :Tile of :
6. 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’.
Phase 4: Guiding practice in learning group
8. Help students who has problem with the worksheet 2
Phase 5: Evaluation
6
7. 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
7
9. 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.
9
10. Determine amount both of the angels!
→ (Use properties of adjacent angle in parallelogram)
10
11. 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
4. Write down three polynomial. Explain why they are polynomial!
5. Simplifying the algebraic form:
6. The measure of two angles in right triangle
are shown on the picture. Find the measure of
the three angles!
QUIZ 1
7. Write down three polynomial. Explain why they are polynomial!
8. Simplifying the algebraic form:
9. The measure of two angles in right triangle
are shown on the picture. Find the measure of
the three angles!
11
13. 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) = …
13
1
2
3
4
14. 3. A tube has radius r(x) = 2x – 3x and the height is t(x) = x – 5. Find volume V(x)
of the tube!
14
15. 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
3: 71-80 Doing 3 number of questions
2: 61-70 Doing 2 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
15
16. 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:
16
1
2
19. Table of Student Scoring
No
Team
(member)
Cognitive Affective 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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20. KEGIATAN HARIAN MNAHASISWA PPL
Di ……………………………..
Nama Mahasiswa : ……………………………..
NO. Reg : ……………………………..
Jurusan /Fakultas : ……………………………..
Hari/
Tanggal/
Pukul
Nama Kegiatan
Kemampuan/ pengalaman yang
diperoleh
Guru Pamong/
Pembimbing/ Anara
Sumber
20
21. 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 4
2. Memeriksa kesiapan siswa 1 2 3 4
II Membuka Pelajaran
1. Melakukan kegiatan apersepsi 1 2 3 4
2. Menyampaikan kompetensi yang akan dicapai dan rencana kegiatan 1 2 3 4
III Kegiatan Inti Pembelajaran
A. Penguasaan Materi Pelajaran 1 2 3 4
1. Menunjukkan penguasaan materi pelajaran 1 2 3 4
2. Mengaitkan materi denagn pengetahuan yang relevan 1 2 3 4
3. Menyampaikan materi sesuai dengan hierarki belajar 1 2 3 4
4. Mengaitkan materi dengan realitas kehidupan 1 2 3 4
5. Mengintegrasikan prinsip – prinsip kerja ilmiah dalam pembelajaran 1 2 3 4
B. Pendekatan/ Strategi Pembelajaran
1. Melaksanakan pembelajaran sesuai dengan kompetensi yang akan dicapai 1 2 3 4
2. Melaksanakan pembelajaran sesuai dengan tingkat perkembangan dan
kebutuhan siswa
1 2 3 4
3. Melaksanakan pembelajaran secara runtut 1 2 3 4
4. Melaksanakan pembelajaran yang terkoordinasi 1 2 3 4
5. Melaksanakan pembelajaran yng bersifat konstektual 1 2 3 4
6. Mengakomodasi adanya keragaman budaya nusantara 1 2 3 4
7. Melaksanakan pembelajaran yang memungkinkan tumbuhny kebiasaan positif 1 2 3 4
8. Melaksanakan pembelajaran sesuai dengan waktu yang dialokasikan 1 2 3 4
C. Pemanfaatan Media Pembeiajaran/ Sumber Belajar
1. Menunjukkan keterampilan dalam menggunakan media 1 2 3 4
2. Menghasilkan pesan yang menarik 1 2 3 4
3. Menggunakan media secara efectif dan efisien 1 2 3 4
4. Melibatkan siswa dalam pemanfaatan media 1 2 3 4
5. Melibatkan siswa dalam pemanfaatan sumber belajar 1 2 3 4
D. Pembelajaran yang Memicu dan Memelihara Keterlibatan Siswa
1. Menumbuhkan partisipasi aktif siswa dalam pembelajaran 1 2 3 4
2. Merespon positif partisipasi siswa 1 2 3 4
3. Memfasilitasi interaksi guru, siswa, dan sumber belajar 1 2 3 4
4. Menunjukkan sikap terbuka terhadap respon siswa 1 2 3 4
21
22. 5. Menunjukkan hubungan antar pribadi yang kondusif 1 2 3 4
6. Menumbuhkan keceriaan dan antusiasme siswa dalam belajar 1 2 3 4
E. Penilaian Proses dan Hasil Belajar
1. Melakukan penilaian awal 1 2 3 4
2. Memantau kemajuan siswa 1 2 3 4
3. Melakukan penilaian akhir sesuai dengan kompetensi 1 2 3 4
F. Penggunaan Bahasa
1. Menggunakan bahasa lisan secara jelas dan lancar 1 2 3 4
2. Menggunakan bahasa tulis yang baik dan benar 1 2 3 4
3. Menyampaikan pesn dengan gaya yang sesuai 1 2 3 4
IV Penutup
A. Refleksi dan Rangkuman Pembelajaran
1. Melakukan refleksi pembelajaran dengan melibatkan siswa 1 2 3 4
2. Menyusun rangkuman dengan melibatkan siswa 1 2 3 4
B. Pelaksanaan Tindak Lanjut
1. Memberikan arahan, kegiatan, atau tugas sebagai bahan remidi 1 2 3 4
2. Memberikan arahan, kegiatan, atau tugas sebagai bahan pengayaan 1 2 3 4
Komentar Pengamat:
Pengamat
Nama : ……………………
Jabatan : ……………………
…………………,……………………..
Pengamat
(………………………………..)
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