The document outlines a mathematics lesson plan about irrational areas, including the learning objectives which are to understand how to calculate the areas of geometric shapes with irrational sides through examples and explanations provided by the teacher. The lesson involves several activities where the teacher demonstrates calculating the areas of rectangles and triangles with irrational lengths or bases and asks students to observe, take notes, and work through sample problems.

1. Lesson Template
Name of the teacher : Riyas.A.R
Subject : Mathematics
Unit : Irrational
Numbers
Subunit : Irrational Areas
Name of the school : St.Stephen’s HSS,
Pathanapuram
Standard : IX H
Strength : 42/47
Date : Time: 35 minutes
Curricular statement : To understand the areas of geometric shapes
having sides are irrational , through observation and explanation given
by the teacher
Content Analysis
New terms : irrational areas
Facts : 1) Area of a rectangle with length of a side irrational, is
equal to the product of sides
2) The area of other polygons such as triangles are
computed in terms of area of rectangle
Concept : concept of finding areas
Process : process of finding the irrational areas
Learning Outcomes :
The pupils will be able to
1) Recalls the term irrational
2) Recall irrational products
3) Detect errors in finding irrational areas
4) Estimate the area of geometrical shapes having irrational sides
5) Does oral and written calculation with speed accuracy
6) Ask questions to know more about irrational areas
Pre-Requisites : The students have knowledge on areas of geometric
shapes such as rectangle and triangle , product of
irrational

2. Teaching-Learning : usual classroom aids , chart
Resource
Learning strategies : chart observation , individual work and
explanation given by the teacher
Classroom interaction procedure Expected pupil response
Introduction
Activity1
Teacher asks the students:
 What is the area of a triangle with length
‘l’ and breadth ‘b’
 What about the square of side ‘a’
Through these type of questions teacher
enters the topic
Presentation
Activity2
Teacher gives a problem:
 How to find the area of rectangle with
sides √8 cm and √2 cm ?
And continuous,
Here the sides are of irrational numbers,
we can calculate this as same as the area
of rectangle with sides of irrational
numbers.
area = product of length and breadth
= √8*√2
=√16
=4 cm2
[BB]
Thus area = 4 cm2
Pupil responded as l*b
Answers as a2
Pupil observes and write on
the notebook

3. Activity3
Teacher gives another question
 Find the area of the triangle with
base=√12 cm and height=√3 cm ?
And teacher continuous , here also the area
as same as area with rational sides
Area= ½(b*h)
= ½(√12*√3)
= ½(√36)
= ½ *6
= 3cm2
[BB]
thus area =3cm2
Activity4
Teacher shows the following chart an
IRRATIONAL AREAS
 Area of a rectangle with length of
sides irrational is equal to the product
of sides.
 The area of other polygons such as
triangles are computed in terms of
rectangle
and ask the student to read the chart
and write down on the notebook.
Pupil observes and write it on
the notebook
Read the chart and write on
the notebook

4. Closure
Activity5
Teacher concluded the class by summarizing
the idea of irrational areas
Review
Teacher ask questions on irrational areas
Follow-up-activity
Find the area of the following rectangle
 Length=√13 cm , breadth=√8 cm
 Length =√7 cm , breadth=√3 cm