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INNOVATIVE LESSON TEMPLATE
Name of the teacher : Supriya.M.L Standard : VIII
Name of the school : New.HSS, Nellimoodu Division : H
Subject : Mathematics Strength :
Unit : Area of Quadrilaterals Date :
Sub – unit : Area of trapezium Duration :
CONTENT ANALYSIS
TERMS: Trapezium, area
Facts: 1. Quadrilateral have one pair of sides are equal is called trapezium.
2. The area of a trapezium is the half the product of sum of length of parallel sides and distance between sides.
Concept: The concept of area of a trapezium.
Principle: The area of a trapezium is the half of the product of the sum of length of the parallel sides and the distance between the parallel sides.
Process: The process of finding area of a trapezium
Formula: area of trapezium = ½ h(a+b)
Symbols: h distance between two parallel sides
a,b length of parallel side
[
Curricular statement: To understand about the area of a trapezium
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LEARNING OVERCOMES
Pupil,
1. Remembering information about area of a trapezium.
2. Develops understanding in finding the area of a trapezium.
3. Applying the information in familiar situation
4. Analyzing the above facts & concepts.
5. Justifying the above concept & formula.
6. Create new ides related to the above facts and concepts.
7. Develop skill in finding the area of a trapezium.
8. Develop interest in finding the area of a trapezium.
PRE – REQUISITES
Trapezium, area, parallelogram, area of parallelogram.
TEACHING – LEARNING RESOURCES
Cut – outs of trapeziums, chart describing the concept
Classroom interaction procedure pupil response
PREPARATION: For checking the previous knowledge of the students, the
Teachers ask the following questions.
Do you heard about quadrilaterals? Students say yes.
What is quadrilateral? Students said, quadrilateral is the geometrical shape which has four
Sides.
Which are the different types of quadrilaterals? Student said rectangle, square, parallelogram, trapezium, rhombus
etc.
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What is trapezium? Student said that the quadrilateral the whose one pair of
sides are parallel is called trapezium.
The teacher presents a model of trapezium.
How can we find the are of a trapezium? Students said that they don’t know.
DEVELOPMENT: Teacher take a cut out of a trapezium.
B b c
A a d
Teacher named a, b as the teacher parallel sides of trapezium takes another
Identical trapezium and place it together as shown below.
B b C D1 a A1
A a d C1 b B1
The teacher ask the students, which of quadrilateral is now get? The students said that the area of trapezium is the half of area of
The teacher asks the students, now how will you find out the area of the parallelogram.
Trapezium ABCD?
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How can you finding the area of a parallelogram? Teacher ask to students. Students says that area of Parallelogram is the
Product of length of a side and the distance of opposite sides.
Teacher explains that, area of trapezium ABCD
= ½ x area of parallelogram AB1 A1B whose sum of length of parallel side is
a+b
area of parallelogram = h [a+b]
Area of trapezium ABCD = ½ x h (a+b)
= ½ h(a+b) (B.B)
The students reaches the conclusion, the are of a trapezium is the half of the
produce of the sum of length of the parallel sides and the distance between
the parallel sides. The teacher shows the chart which shows the concept.
AREA OF A TRAPEZIUM
b
Area of a trapezium = ½ h(a+b)
h a, b length of the parallel sides of trapezium students read it and understand
h distance between the parallel sides
a
Teacher required to two students to read this chart.
APPLICATION
1. Find the area of a trapezium which have the length of the parallel
sides is 5 cm & 7 cm and distance between the parallel side is 10 cm.
h=10cm, a= 5cm, b=7cm
area of trapezium = ½ h(a+b)
= ½x10(7+5)
= ½x10x12
5. 5
= 60cm2
REVIEW
1. What is the formula for finding area of a trapezium?
FOLLOW – UP ACTIVITY
1. A trapezium have 10cm and 15cm length of parallel sides and the distance between the parallel side is 15 cm. find the area of trapezium.
