The document describes a discovery learning model used by a teacher to teach 9th standard students about irrational numbers. The teacher presents examples of numbers and has students observe and group them. In the first stage, students group the numbers as variables or non-variables. In the second stage, they group them as rational, irrational, or variables. Through this activity, students develop an understanding that irrational numbers are numbers that cannot be written as a ratio of two integers, like 1/2 or √2. The teacher then has students practice identifying irrational numbers in different examples.

1. DISCOVERY LEARNING
MODEL
Name of the teacher : RESHMA R Period :
Name of the school : GOVT H S PERUMPAZHUTHOOR Time :
Standard : IX Date :
Subject : Mathematics Strength :
Unit : Irrational number Average age :
Topic : Irrational number
FOCUS
Understand about irrational number. Acquire the ability to solve the problem related to
irrational number.

2. SOCIAL SYSTEM
Teacher presents the paper cuttings and examples related to irrational number. Students observe
it grouped it. Teacher and student have equal partnership.
PRINCIPLES OF REACTION
Teacher encourages the student to get the topic irrational numbers through observation and
grouping.
SUPPORT SYSTEM
Activity card

3. CLASSROOM INTERACTION PROCEDURE RESPONSES
Phase : Collection and observation
Teacher present some examples and wants the students
to grouping them.
a 1 3 1/2
b 5 3

4. CLASSROOM INTERACTION PROCEDURE RESPONSES
Phase : Classification
Teacher asked the student to grouping the
examples
Stage I
+A B
a
b
1 1/2
3 3 5

5. CLASSROOM INTERACTION PROCEDURE RESPONSES
Teacher ask the students to group box B
Stage II
A B C
a
b
3
5
1
1/2
3

6. CLASSROOM INTERACTION PROCEDURE RESPONSES
Phases III : Suggesting the basis of classification
On what basis the grouping is carry out in these two stages.
Phase IV : Developing facts
What is the speciality of box A, B, C in second stage
Phase V: Concept formation
The number which are not rational is called irrational
Numbers.
Stage I
Variables, number
Stage II
Variables, rational, not rational
A : Variables
B : Not rational
C : Rational

7. CLASSROOM INTERACTION PROCEDURE RESPONSES
Then what is irrational number?
Phase VI :Problem solving
Teacher gives question to students for solving.
Find the irrational numbers
1/3 b 1
3 2 5
The number which are not rational number
Is called irrational number.
Students find the irrational number

8. FOLLOW UP ACTIVITY
• Write any 2 irrational number?