School unit : SMP N 1 Wates
Subject : Mathematics
Class/Semester : VII/2
Standard of
competence : Using the concepts of
set and Venn Diagram in problem solving
Basic competence : Presenting sets
using Venn diagram
Indicators : 1. To describe the definition of
Venn diagram
2. To draw Venn diagram from the set
3. To read a Venn diagram from the set
Time allocation : 1 x 20 minutes
A. Learning
Objectives
1. Students
are able to describe the definition of Venn diagram
2. Students
are able to draw a Venn diagram from the set
3. Students
are able to read a Venn diagram from the set
B. Materials
VENN DIAGRAM
Definition
of Venn Diagram :
A
Venn Diagram is a diagram that illustrates the relationships between sets.
Model
of Venn Diagram
The
component of Venn diagram :
1. Universal
set is usually represented by a rectangle area
2. The
set is represented by a simple closed curve
3. Each
element of set is represent by node or point
EXERCISE
1. Illustrate
the sets below using Venn diagram model
S ={Natural number less than 15}
A = {Odd number less than 10}
B ={Prime number less than 15}
2. Find the element of set S, P and Q
from the Venn diagram below!
C.
Learning Approach and
Methods
Method : Demonstration,
expository, task group, presentation
D. Teaching
and Learning Activities
No.
|
Teacher’s Activities
|
Student’s Activities
|
Duration
|
A.
Introduction
|
2,5 minutes
|
||
1.
|
The
teacher gives greeting to the students : “Good
afternoon my students”
|
The
students answer the teacher’s greeting.
|
30
second
|
2.
|
The
teacher leads the students to pray together : Before we start our lesson, please let’s pray together.
Prayer
begins!
Finish!
|
The
students follow the teacher to pray together.
|
30
second
|
3.
|
The
teacher asks the students about the student’s condition “How are you today?” then also ask about student’s presence “Any students absent today?”
|
The
students answer the teacher’s question.
|
30
second
|
4.
|
The
teacher remind the students about the materials in the last meeting : In the last meeting we have learned about
the definition of the set, elements of a set, empty set, and universal sets.
Then,
the teacher explains to the students if in this meeting they will learn about
the Venn diagram and presenting set with Venn diagram : Then, in this meeting we will learn about the Venn diagram and
presenting set with Venn diagram.
|
The
students pay attention the teacher’s explanation.
|
1
minute
|
B. Main Activities
|
17 minutes
|
||
1.
|
The
teacher asks the students to prepare their books and stationary to write down
the teacher’s explanation before the teaching learning process is began : Okay students, please prepare your books
and stationary to write down my explanation.
|
The
students do preparation.
|
1
minute
|
2.
|
The
teacher asks the students how to explain set easily : Do you know how to explain set easily?
Then,
the teacher says : Yes, that’s right.
To explain set we can use Venn diagram and the teacher write “Venn
Diagram” in the whiteboard.
The
teacher also ask the students to write down the title in the student’s book :
Please, write down the title on your
own books.
|
Hope
anyone students answer the teacher question. The answer is Venn Diagram.
The
students write down the title in their own books.
|
1,5
minutes
|
3.
|
The
teacher asks the students about the definition of the Venn diagram : “Any students know the definitions of a
Venn diagram?”
|
Hope
the students answer the question : Like
a circle.
|
1
minute
|
4.
|
Then,
the teacher shows the model of a Venn diagram and also explain the definition
and the characteristics of a Venn diagram by demonstrating the model of a
Venn diagram : I have the model of the
Venn diagram. In Venn diagram,
Universal set is usually represented by a rectangle area. The set is
represented by a simple closed curve. Each element of set is represent by
node or point.
|
The
students consider the teacher’s explanation.
|
1
minute
|
5.
|
The
teacher asks the students about the simple closed curves : “What is the simple closed curves? ”
|
Any
students answer the teacher’s question.
|
30
second
|
6.
|
Then, the teacher
draws the example of the simple closed curve and gives explanation about how
to make the simple closed curve : When
we make a curve without take away the pencil and the starting point meet with the endpoint without
intersect itself it is called a simple closed curve.
|
The
students listen to the teacher’s explanation carefully.
|
2
minutes
|
7.
|
The
teacher gives the example of the set.
S
= {1,2,3,4,5,6,7,8,9,10}
P = {Odd number less than 10}
Then,
the teacher demonstrates it by using Venn diagram model.
|
The
students listen to the teacher’s explanation carefully and then any students
come to the class to demonstrate the set using Venn diagram.
|
1,5
minutes
|
7.
|
The
teacher gives exercise for the students to do in group. The students divide
into two groups that consist of four students each group. Then, the teacher
writes the exercises on the whiteboard :
I have some exercises for you. Please, do it! You may discuss with your
friends in your group!
|
The
students listen to the teacher’s direction and then discuss with their
groups.
|
2
minutes
|
8.
|
The teacher asks the groups to demonstrate the element of the set by
using the model of Venn diagram : Which
group wants to be a volunteer to demonstrate by using this model?
|
The
students from one of the groups come to the class to present the element of
the set by using Venn diagram models.
|
2,5
minutes
|
9.
|
Then,
the teacher asks the other groups how about the result of the first group : Okay students, how about the answer? It is
right?
|
The
students answer the teacher.
|
30
second
|
10.
|
The
teacher gives conclusion about the two student’s answer : The answer is right.
|
The
students listen carefully to the teacher’s explanation.
|
30
second
|
11.
|
Then,
the teacher asks the student to list the element of the universal sets and
the set that be discussed : Who wants to be a volunteer to do
this questions?
S
= {...................................................................}
P
= {...................................................................}
Q
= {..................................................................}
|
Anyone
of the student from the second group come to the class to answer the
question.
|
1
minute
|
13.
|
The
teacher says : “Your answer is good!”
|
The
other students listen to the teacher.
|
30
second
|
14.
|
The
teacher gives conclusion about the topic that learn in this meeting if to presenting a set can be used a Venn
diagram and gives homework to the students that will be collected in the
next meeting : Please do the homework
and collect it in the next meeting! Okay? ”
|
The
students listen carefully to the teacher’s explanation.
|
1
minute
|
C. Closing
|
30 second
|
||
1.
|
The
teaching learning process is ended by pray together then the teacher gives
greeting for the students : “Good
afternoon my students!
|
The
students pray together and answer the teacher’s greeting.
|
30
second
|
E. Learning
Resources
Sources
M. Cholik Adinawan, dkk.
2007. Matematika untuk SMP kelas VII. Jakarta: Penerbit Erlangga.
Marsigit. 2009. Mathematics 1 For Junior High School Year
VII. Jakarta: Yudhistira.
F. Assessment
Technical
assessment : Written and oral assessment
Assessment
process :
1. Draw the Venn diagram of the sets below and list the element of every set!
S = {1,2,3,...,10}
A = Set of quadratic numbers less than 10
B = Set of odd numbers less between 1 until 10
Answer key :
Venn diagram score 30
A = {1,4,9} score 10
B = {3,5,7,9} score 10
Maximum score is 50
1. Draw the Venn diagram of the sets below and list the element of every set!
S = {1,2,3,...,10}
A = Set of quadratic numbers less than 10
B = Set of odd numbers less between 1 until 10
Answer key :
Venn diagram score 30
A = {1,4,9} score 10
B = {3,5,7,9} score 10
Maximum score is 50
Yogyakarta, 4th April 2012
Microteaching
Students
Absari Nur Khasanah
NIM. 09301244014
Approved by :
Lecturer
1 Lecturer 2
Prof. Dr. Rusgianto H.S Dr. Sugiman
NIP. 19490417 197303 1 001 NIP.19650228 199101 1 001
EXERCISE
Group
: …………..
1. Illustrate
the sets below using Venn diagram model
S = {Natural number less than 15}
A = {Odd number less than 10}
B = {Prime number less than 15}
Answer :
2. Find the element of set S, P and Q
from the Venn diagram below!
Answer :
S
= {......................................................}
P = {......................................................}
Q = {......................................................}
HOMEWORK
1. Draw
the Venn diagram of the sets below and list the element of every sets!
S
= {1, 2, 3, . . . , 10}
A
= Set of the square of the numbers less than 10
B
= Set of the odd numbers between 1 until 10
Answer :
Answer :
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