ROLL NO 53.pptx

GENERAL AIMS
Enable students to:
* Appreciate the usefulness beauty and power of mathematics.
*Enjoy mathematics and develop patience and perseverance when solving
problems.
* Being confident in using mathematics to analyze and solve problems
both in school and real life situations.
* Develop the knowledge, skills and attitudes necessary to pursue further
studies in mathematics.
* Develop mathematical curiosity and use critical thinking while solving
problems.

SPECIFIC AIMS
At the end of teaching; Students will be able to:
Knowledge- Tell the formula of finding area of a quadrilateral.
Understanding- Understand and will be able to explain the procedure
of finding the area of a quadrilateral.
Skill- Draw a quadrilateral using the area and diagonal of a
quadrilateral.
Application- Apply the procedures of finding area of a quadrilateral
in higher studies and in their daily life.

SL.NO STEP MATTER METHOD BB WORKS
INITIAL
PREPARATION
General Procedure
This lesson plan is based on
‘’Traditional Method’’. Here the
following 3 steps are followed:
1. Introduction
2. Presentation
3. Evaluation
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PREVIOUS
KNOWLEDGE
TEST
INTRODUCTORY QUESTIONS
1. What do mean by quadrilateral?
2. How many sides are there in a
quadrilateral?
3. Say the names of types of
quadrilateral?
4. Give some examples of
quadrilateral objects?
5. What do you mean by Area?
6. What is the formula of area of a
triangle? TOPIC:
“ Area of
Quadrilateral ”

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STEP MATTER METHOD BB WORKS
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GIVING NEW
KNOWLEDGE
INDUCTION METHOD
Teacher’s activity and questions
Teacher will show the drawing
of a quadrilateral named ABCD
and then ask questions;
1.Which type of figure is this?
2. What is the name of given
quadrilateral?
3. What are the opposite
vertices of the quadrilateral?
4. What are AC and BD called?
5. AM is a perpendicular on
which and from which point?
6. CN is a perpendicular on
which and from which point?
8. What are the names of AM
And CN?
9. BD diagonal divides the
quadrilateral into which two
triangles?
Students’
response
Quadrilateral
ABCD
A & C , B & D
Diagonals
On BD from A
On BD from C
P1 and P2
∆ BCD,
∆ ABD

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Teacher’s activity and Students’
questions response
10. What can be the relation
between the area of these two
triangles?
11. What can be the area of the
quadrilateral related with theses
triangles?
12. What is the formula of area of
triangle ABD?
13. What is the formula of area of
triangle BCD?
14. What can we write in place of
AM and CN?
15. What can be the area of the
quadrilateral?
16. What is the formula for the
area of a quadrilateral?
Equal Area
Sum of area of
two ∆s
(BD×AM)/2
(BD×CN)/2
P1 & P2
BD×(P1+ P2)
2
(diagonal ×
sum of two
perpendicular
length)
2

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DEDUCTION METHOD
Teacher’s activity and
questions
Students’
response
The length of one diagonal of a
quadrilateral is 24 m and the
length of two perpendiculars
drawn from opposite vertices
on the diagonal are 13 & 8 m.
What is the area of the
quadrilateral?
1. What is the formula for the
area of a quadrilateral?
2. what is the length of the
diagonal of the given
quadrilateral?
3. what are the length of the
perpendiculars on the
diagonal?
4. Then, what is the area of
the quadrilateral ABCD?
AC×(P1+ P2)
2
24 m
13 & 8 m
24×(13+8)
2
=252 sq . m

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1. The length of one diagonal of a
quadrilateral is 15 c.m and the length
of two perpendiculars drawn from
opposite vertices on the diagonal are
24 &20 c.m. What is the area of the
quadrilateral?
Area of a
quadrilateral=length of
diagonal × (P1 + P2 )
2
here;
Length of diagonal=15c.m
P1 =24 c.m
P2 = 20 c.m
Area of the
quadrilateral=15×(24+20)
2
=(15×44)/2 c.m2
=22×15 c.m2
= 330 sq.c.m
Here area of the given
quadrilateral is found to
be 330 square c.m.
IDEAL
QUESTION

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IDEAL
QUESTION
2. The area of one quadrilateral is
204 square meter. If sum of the
length of two perpendiculars drawn
from opposite vertices on one
diagonal is 34 meter then find the
length of the diagonal.
Area of a
quadrilateral=length of
diagonal × (P1 + P2 )
2
Here let;
Length of diagonal=Z m.
P1+P2 = 34 m.
Area= 204 sq . meter
Area of the
quadrilateral=Z × (P1 + P2 )
2
204 m2=(Z×34)/2 m2
204 × 2 m2 =Z×34 m2
Z = (204 × 2 )/34 m.
Z = 12 m.
Here length of one
diagonal of the given
quadrilateral is found to
be 12 meter.

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EXERCISE
QUESTION
1. The area of one quadrilateral is
560 square c.m. If sum of the
drawn from opposite vertices on
one diagonal is 28 c.m then find
the length of the diagonal.
2. The length of one diagonal of a
quadrilateral is 0.35 m. and the
drawn from opposite vertices on
the diagonal are 22 & 18 c.m.
What is the area of the
quadrilateral?

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ASSESSMENT
OF
LEARNING
OUTCOMES
ASSESSMENT OF
LEARNING OUTCOMES
After delivering the
lesson, teacher will ask
the questions to the
students which are
already written in the BB
cloth.
Homework
In quadrilateral ABCD,
AB=50 c.m, BC= 80c.m,
CD=82 c.m, DA= 100 c.m,
AC=78 c.m. Find the area
of the quadrilateral.
EVALUATORY QUESTIONS
1. Fill in the blanks.
a. --------- divides the quadrilateral
into two triangles.
b. Sum of --------- of two triangles is
equal to the area of a quadrilateral.
c. Formula of area of quadrilateral
Is --------------.
2. In quadrilateral ABCD, AC=20c.m,
P1 & P2 are 14c.m and 10c.m. Find
Area.
3. Area of a quadrilateral is 400
square meter. If P1+P2 =24 m., then
find the length of the diagonal.
4. Area of a quadrilateral is 800
square c.m and length of one
diagonal is 20 c.m. If P1 is 4 c.m
more than P2, then find the sum of
the length of two perpendiculars
on the diagonal.

ROLL NO 53.pptx

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ROLL NO 53.pptx