LESSON PLAN

Sphere Area

(K13)

Compiled by:

M. Helmy Firmansyah 12030174258

DEPARTMENT OF MATHEMATICS

FACULTY OF MATHEMATICS AND NATURAL SCIENCE

STATE UNIVERSITY OF SURABAYA

INTERNATIONAL PROGRAM OF MATHEMATICS EDUCATION

2015

REVISI

LESSON PLAN

SUBJECT : MATHEMATICS

GRADE / SEMESTER : IX / EVEN

MATERIAL : Area of Sphere

TIME ALLOCATION : 2 × 40 minutes

A. Main Competence

1. Respect and appreciate the precepts of their religion.

2. Respect and appreciate honest, discipline, responsibility, care (tolerance, mutual

assistance), polite, confident behavior in interacting effectively with social and

naturalenvironment in scope of theassociation and exsistence.

3. Understanding knowledge (factual, conceptual, and procedural) based on their

curiosity about science, technology, arts, culture related phenomena and concrete

case.

4. Trying, processing, and presenting in the realm of concrete (using, parsing,

composing, modifying, and creating) and the realm of the abstract (writing, reading,

counting, drawing, and fabricating) according to the learned in school and other

sources in the same viewpoint / theory.

B. Basic Competence

1.1 Respect and appreciate the precepts of their religion.

2.1 Have the internal motivation, ability to cooperate, consistent, discipline, confidence, and

tolerance in the different thinking strategies in selecting and implementing the strategy

solve the problem.

3.7 Determining the area and the volume of tube, cone, and sphere.

C. Indicator

1.1.1 Showing obedience to their religion.

2.3.1 Showing the attitude of cooperation, accuracy and responsibility.

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3.7.1 Can discovering formula of area of sphere by applying formula of area of circle.

3.7.2 Calculate radius and area of sphere.

D. Learning Objectives

1.1.1.1 Students can showing obedience to their religion to pray before the lesson begins.

2.3.1.1 Students can showing the attitude of cooperation, accuracy and responsibility.

3.7.1.1 Student can discovering formula of area of sphere by applying formula of area of

circle which known before.

3.7.2.1 Student can Calculate area of sphere which known radius of sphere.

E. Method of Learning

1. Model of Learning : Discovery Learning

2. Method of Learning : Questioning-Answering, discussion, and given task

F. Steps of Learning

Activity Description of activitiesTime

Allocation

First-Activity

Introduction Activities (± 10 minutes)

1. Teacher gives greeting then asks students to pray.

2. Teacher checks student attendance.

3. Apperception : Teacher connects the topic that will be

learned with previous topic that is a area of circle and

circumference.

4. Motivation : Teacher prepare students with motivation

by showing video about making vollyball.

5. Teacher asks the students to observe the video will be

played.

(± 10 minutes)

2

Activity Description of ActivitiesTime

Allocation

Main

Activities

Phase 1: Stimulation

1. Teacher gives stimulation gives information about

lesson that will learn.

“From that’s video, for example the diameter is 30 cm,

have you calculate how many volley rubber material

minimal which needed for one volleyball?

2. Teacher define the students to be group, every group

have three members.

Phase 2: Problem Statement

6. Teacher gives problem statement.

7. Teacher gives a work sheet for every group.

8. Teacher guide the students.

Phase 3 : Data Collection

1. Teacher gives the time to students for try the

experiment.

2. Teachers arounds to all the groups to see discussions

of learners, see the involvement of all students in the

group and if there is a group that is directing deviated

from his work.

3. Teacher : “Find the radius of your oranges, how to

find radius from your oranges?”

Phase 4 : Data Processing

1. Students process the data with discuss. (Do the

worksheets)

2. Teacher go arround to check each group.

3. Teacher gives the time to students for ask, if students

(± 55 minutes)

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have difficulty.

4. Students process and write the data in answers sheet.

Phase 5 : Verification

5. Teacher gives the time to students for present the

result of the experiment.

6. Students explain their result.

7. Student from other group explain the result if different

with first group.

Phase 6 : Generalization

8. Teacher gives the time to students for generalization.

Final

Activities

1. Teacher gives the appreciations for all students with

applause.

2. Teacher with students try to solve problem before.

3. Teacher gives quiz to be done for 10 minutes.(±10 minutes)

Closing

Activity

1. Teacher do reflection about learning activity today by

asking like:

What you have learnt today?

2. Teacher gives homework in the BSE Book page 169, 1-

10

3. Teacher remind student to learn the next topic

4. Teacher close the learning today

(±5 minutes)

4

G. Learning tools and resources :

Learning tools

- Laptop, LCD, Glue, Orange, Ruler, Compass, knife, yern.

Resources

- Worksheet, Mathematics book for Junior high school class IX.

H. Assessment

1. Instruments Test :

a) Quiz

b) Worksheet

2. Affective Scoring

Afective Observation Sheet

3. Cognitive Scoring

a. Cognitive Scoring Manual (Group)

b. Cognitive Scoring Manual (Individual)

No.

Assessment AspectAssessment technique

Assessment time

1. Attitude:a. Cooperative in discussionb. Accurate in doing taskc. Responsibility in doing task

ObservationDuring the

learning process

2. Knowledge:Discover formula of sphere area and Solving problem related with sphere area.

TestDuring solving individual task and group task

1.

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AFECTIVE OBSERVATION SHEET

Competencies are assessed : Have the internal motivation, ability to cooperate, consistent,

discipline, confidence, and tolerance in the different thinking

strategies in selecting and implementing the strategy solve the

problem.. (KD 2.1)

Assessment Technique : Teacher-ObservationClass/Semester : IV / EvenYear : 2014 / 2015

Assessment Guidelines:Give score in the recapitulation sheet provided with the following conditions

No. Skills Criteria Score

1.

Cooperative

(Kerjasama)

Jika siswa selalu menunjukkan aktif dalam bekerjasama di kegiatan kelompok.

4

Jika siswa sudah ada usaha untuk bekerjasama dalam kegiatan kelompok.

3

Jika siswa menunjukkan sikap bekerjasama dalam kegiatan kelompok tetapi masih belum konsisten.

2

Jika siswa sama sekali tidak berusaha untuk bekerjasama dalam kegiatan kelompok.

1

2.

Accuracy

(Ketelitian)

Jika siswa sangat teliti dalam mengerjakan tugas. 4

Jika siswa menunjukkan ketelitian namun kadang-kadang masih kurang teliti.

3

Jika siswa kurang teliti dalam mengerjakan tugas. 2

Jika siswa sama sekali tidak teliti dalam mengerjakan tugas.

1

3.Responsibility

(Tanggung jawab)

Jika siswa sangat tanggung jawab dan hasilnya maksimal.

4

Jika siswa sudah ada usaha untuk tanggung jawab walaupun hasilnya belum maksimal.

3

Jika siswa menunjukkan sikap tanggung jawab tapi masih belum konsisten.

2

jika siswa sama sekali tidak tanggung jawab ketika

diberikan tugas.1

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AFECTIVE RECAPITULATION SHEET

No

.Name

Assesment

Cooperative

(Kerjasama)

Accuracy

(Ketelitian)

Responsibility

(Tanggung jawab)

1. Aminatul Karimah

2 Ahsanul Amala

3. Astrie Karina

4. Sita Rahma

5. Kiki arianto

6. Choirul

7. Helmi

8. Deny

9. Ilham

10. Candra

11. Maulana

12. Zuveri

13. Ijtihadi

14. Rahma

15. Fadhila

16. Ilde Ilka

Note:

1. Maximal Score = Sum of Attitude Score x Number of Criteria.

In this case = 3 x 4 = 12

2. Attitude Score = (Gotten score : Maximal Score) x 100

Example score that gotten is 9, Attitude Score = 9/12 x 100 = 75

3. Attitude Score can be qualified to be predicate as follows :

VG = Very Good = 80 – 100 E = Enough = 60 - 69

G = Good = 70 – 79 L = Less = < 60

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COGNITIVE OBSERVATION SHEET (GROUP)Alternative Solution Score

Menentukan jari-jari dapat dilakukan dengan salah satu cara sebagai berikut

a. Dengan melilitkan tali satu putaran penuh pada posisi tengah jeruk

Misal didapat:

Panjang tali untuk satu putaran penuh tersebut adalah 17 cm

Maka panjang tersebut adalah Keliling Lingkaran

Dari Keliling yang diketahui kita dapat menentukan jari-jari

K = 2.π.r

17 = 2 . 3,14 . r

17 = 6,28 . r

r = 17

6,28

= 2,707

≈ 2,7 cm

b. Dengan menggunakan penggaris pada jeruk yang dibelah menjadi 2 tepat pada tengah

jeruk.

Dari jeruk yang terbelah dapat diukur diamater jeruk tersebut

d = 6 cm

r = d/2 = 6/2 = 3 cm

c. Atau cara lain yang relevan 10

Gambar lingkaran sesuai dengan jari-jari jeruk yang didapat

5

8

Menempel kulit jeruk sampai penuh untuk setiap lingkaran

10

Menghitung banyak lingkaran yang ditempeli kulit jeruk untuk 1 buah jeruk yaitu 4

5

Dalam bangun bola, kulit jeruk termasuk selimut bola atau sisi yang membatasi bangun

bola20

Hubungan selimut bola dengan banyak lingkaran yang terbuat yaitu selimut bola

merupakan sisi yang membatasi bangun bola.

Selimut bola pada jeruk adalah kulit jeruk.

Setelah dihitung ternyata didapat 4 kali lingkaran dengan jari-jari yang sama dengan jeruk.

Maka Luas Permukaan Bola adalah selimut bola tersebut yaitu 4 kali lingkaran

dengan jari-jari yang sama dengan bola 30

Rumus Luas Permukaan Bola = 4 x Luas Lingkaran

= 4 x π x r2

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Total Score 100

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COGNITIVE OBSERVATION SHEET (INDIVIDUAL)

No Indicators Questions Answer key Score

1.

Calculate radius

and area of

sphere.

Sebuah bola ping-pong dengan diameter 4,2 cm. Hitunglah luas permukaan bola ping-pong

tersebut? (π= 227

)

Diameter 4,2 cm,

maka r = 4,22

= 2,1

L = 4 .π .r2

= 4 .227

. (2,1)2

= 55.44Jadi luas permukaan bola ping-pong adalah 55.44 cm2

50

2. Berapakah jari-jari bola, bila

luas permukaan bola 7847

cm2 ?

(π= 227

)

L = 4 .π .r2

7847

= 4×227

×r2

5507

= 887

×r2

r2= 550

7:

887

r2= 550

7×

788

r2= 254

r = √ 254

r= 52

Jadi jari-jarinya adalah 52

cm

50

Total Score 100

Note:

1. Cognitive Score = (Gotten Score∈ Individual Task+Gotten Score∈GroupTask )

2

2. Cognitive Score can be qualified to be predicate as follows :

VG = Very Good = 80 – 100 E = Enough = 60 - 69

G = Good = 70 – 79 L = Less = < 60

10

11

Mengetahui, Surabaya, ……………….

Kepala Sekolah …………….. Guru Mata Pelajaran Matematika

(___________________) (__________________)

NIP. ………………………. NIP. …………………

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WorksheetIndicator :

3.11.1 Able to discover formula of area of sphere by applying formula of area of circle

Members of Group :

1._________________________________ 3. _________________________________

2. _________________________________4. _________________________________

------------Kerjakan pada kertas manila yang telah disediakan!-----------

Langkah-langkah kegiatan

1. Siapkan sebuah jeruk yang bentuknya mendekati bentuk bola.

2. Gambar lingkaran dengan jari-jari yang sama dengan jeruk kalian! (Tentukan jari-jarinya

terlebih dahulu)

3. Ambil kulitnya saja, potong dan tempelkan sampai penuh pada gambar lingkaran yang

kalian buat sebelumnya. Gambar lingkaran lagi yang sama jika dibutuhkan!

4. Berapa banyak gambar lingkaran yang dibutuhkan untuk menempel kulit satu jeruk sampai

penuh untuk tiap gambar lingkaran?

5. Menurutmu dalam bangun bola, kulit jeruk disebut apa?

6. Apa hubungan jawaban no. 5 dengan banyak lingkaran yang terbuat?

7. Apa yang dapat kalian simpulkan?

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KUIS

Nama :Kelas :No Absen :

Jawablah pertanyaan-pertanyaan dibawah ini dengan terliti!

1. Sebuah bola ping-pong dengan diameter 4,2 cm. Hitunglah luas permukaan bola ping-

pong tersebut? (π= 227

)

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2. Berapakah jari-jari bola, bila luas permukaan bola 7847

cm2 ? (π= 227

)

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