1. The lesson plan is for a mathematics class on irrational numbers for 1X standard students. 2. It includes learning outcomes like identifying irrational numbers, discussing problems involving irrational numbers, and observing aspects of irrational numbers. 3. The teaching involves activities like discussing pythagoras' theorem and using examples to show that some lengths cannot be expressed as rational numbers, such as the diagonal of a square with sides of length 1.

1. LESSON PLAN
Name of the Teacher : VEENA V.
Subject : Mathematics
Unit : Irrational Numbers
Subunit : Concept of irrational numbers
Name of the School : Mount Tabor Girls H.S.
Pathanapuram
Standard : 1X
Strength :
Date :
Time :
CURRICULAR STATEMENT : To understand about irrational number and it’s importance in
Mathematics through observation ,discussion and by analyzing
the prepared notes of the pupil.
CONTENT ANALYSIS
New Term : Irrational Numbers
Fact : All length cannot be represented by a rational numbers
Concept : Concept of irrational numbers
Process : Process of understanding the irrational numbers
LEARNING OUTCOMES
The pupils will be able to ,
1. recall the term integers, rational numbers
2. recognize the irrational numbers
3. identify the concept of irrational number
4. through familiar examples an unfamiliar situations is made clear
5. discuss the problems of irrational number with other students
6. ask questions to know more about irrational number.
7. read chart quickly and accurately on irrational numbers
8. observe all aspect of irrational numbers keenly

2. PRE – REQUISITES: Students have knowledge on integers, rational numbers, and the
pythagorus theorem.
TEACHING LEARNING RESOURCES : Usual classroom aids , chart.
LEARNING STRATEGIES: Discussion, individual work, observation, activity,
chart and explanation by the teacher.
Classroom interaction procedure Expected pupil responses
INTRODUCTION
ACTIVITY 1
1. Which are the counting numbers?
2. What is rational numbers?
3. What is Pythagorus theorem?
Through these question teacher leads students
to the topic
PRESENTATION
ACTIVITY2
1. Teacher drawn a rectangle on the
blackboard. Teacher divide the
rectangle in to two triangles by drawing
a diagonal
D C
3
( BB)
A 4 B
Most of the pupil answer correctly
One or two students not answering
All pupil answered.

3. Teacher ask the students that, how can we find
the length of the diagonal.
2. Teacher ask the students to say
pythagorus theorem .
3. What is the length of the diagonal AC ?
Teacher write the answer on blackboard
AC2 = AB2 + BC2
= 42 + 32
= 16 + 9
= 25
AC = 5 cm. ( BB)
ACTIVITY 3
1. Teacher ask the students that, how can
find the length of diagonal of a square
of sides 1m.
2. What is the length of a diagonal , asked
by teacher.
3. Teacher ask the students that which
numbers square is 2 .
4. What is the form of rational ?
5. Suppose there is a fraction x/y , whose
square is 2.
Therefore , ( x/y )2 = 2
( x2/y2 ) = 2
x2 = 2 y2 ( BB )
Is x2 is an even number ?
Teacher says that” the square of odd numbers
Pupil think and say the pythagorus theorem
Students say,
Hypotenuse2 = Base2 + Altitude2
Pupil answer correctly
Pupil say the pythagorus theorem.
Pupil cannot find answer for this problem.
2 is not a square of any natural number
x/y
Pupil listen carefully
Pupil response as yes

4. are odd and the square of even numbers is
even”
Now , say what is x, asked by the teacher .
Since x/y is a fraction and x is an even , y must
be an odd number.
Since x is an even .
x = 2z , z is a natural number.
Therefore , x2 = 2y2
i.e ,( 2z)2 = 2y2
4z2 = 2y2
y2 = 2z2
Therefore , y2 is an even .
Teacher say that the denominator is both even
and odd , it is impossible for a number to be
both odd and even .
So the square of any fraction is not 2.
That is all the lengths cannot be represented by
rational numbers.
Teacher shows a chart with explaining the
main point.
CLOSURE
ACTIVITY4
Teacher conclude the class by saying the
concept of ‘all length cannot be represented by
rational numbers’.
REVIEW
ACTIVITY5
Teacher ask the questions about the learned
portion.
FOLLOW UP ACTIVITY
1. What is the length of diagonal of
rectangle with length 2m and breadth
1m ?
Students says that x is an even.
Students listen carefully .
Pupil listen carefully and write the note book.
Pupil answer correctly.

5. 2. Find the length of the hypotenuse of
the right angled triangle of sides 3cm
and 4cm ?