THEME – MEASUREMENT
PREVIOUS LESSON – Second Term Scheme of Work and Plan Lesson Notes for MATHEMATICS Week 1 to Week 12 Primary Schools
TOPIC – AREA OF TRAPEZIUM
By the end of the lesson, the pupils should have attained the following objectives (cognitive, affective and psychomotor) and should be able to –
1. calculate the areas of figures which can be divided into rectangles and or triangles;
2. calculate land areas in hectares.
The teacher will teach the lesson with the aid of:
1. Nail board
2. Rubber bands
3. Cut out shape forms cardboards
4. Land plan
METHOD OF TEACHING – Choose a suitable and appropriate methods for the lessons.
Note – Irrespective of choosing methods of teaching, always introduce an activities that will arouse pupil’s interest or lead them to the lessons.
1. Scheme of Work
2. 9 – Years Basic Education Curriculum
3. Course Book
4. All Relevant Material
5. Online Information
CONTENT OF THE LESSON
LESSON LESSON ONE – INTRODUCTION TO TRAPEZIUM
Teacher’s/Pupil’s Activities 1 – Making Trapezium with Two Faces of Cuboid
As in the previous lesson – Perimeter of Regular and Irregular Shapes (Primary 6), guides the pupils to recall the characteristics of cuboid.
Cuboid has 6 faces, 8 vertices (corners) and 12 edges.
Teacher’s/Pupil’s Activities 2 – Cutting Out Two Faces/Rectangles of Cuboid
Teacher’s Activities – Let pupils identify each face as rectangle and recall the characteristics of rectangle.
Pupil’s Activities 3 – Identifying The Characteristics of Rectangle
Rectangle is a four (4) sides shape with two (2) of length and four (4) vertices (corners).
Teacher’s/Pupil’s Activities 4 – Cutting Out Triangle from One of the Rectangle
Pupil’s Activities – Making Trapezium
Rectangle + Triangle
Triangle + Rectangle + Triangle
Teacher’s remark – The above shape is called trapezium. There are two (2) kinds of trapezium. Rectangle + Triangle and Triangle + Rectangle + Triangle
Pupil’s Activities 5 – Exercises/Take Home/Project
Display the the two trapezium on the board and ask pupils to draw Triangle with Rectangle + Triangle and Triangle + Rectangle + Triangle
LESSON TWO – AREA OF TRAPEZIUM
Teacher’s/Pupil’s Activities 1 – Area of Trapezium
Teacher’s Activities – Let pupils to find the area of the two rectangles.
Area of the first rectangle,
Area = Length x Breadth
= 6 cm x 4 cm
= 24 cm²
Teacher’s activities – Each of the rectangle has the same area. Divide the second rectangle through the diagonal to form triangle and ask the pupils, if the areas of this rectangle is 24 cm² , what is the area of this triangle?
The area of the rectangle is 24 cm². Therefore, the area of triangle is 12 cm² because it is the triangle is half (½) of the rectangle.
Teacher’s Activities – Asks them to add the areas together, that’s
Expected Response, 24 cm² + 12 cm² = 36 cm².
Teacher’s remark – The area of rectangle is Length x Breath. Since the triangle is half (½) of rectangle. The area of rectangle is written as
½(a+b)h. That’, half of the sum of parallel lines of trapezium multiple by its height.
LESSON THREE – APPLICATION OF ½(a + b)h
Teacher’s/Pupil’s Activities 1 – Identify each part of trapezium
Area of Trapezium = ½(a + b)h
Teacher’s/Pupil’s Activities 2 – Area of Trapezium
Find the area of trapezium,
Area of Trapezium = ½(a + b)
Where a = 4 cm, 12 cm and h = 12 cm
= ½(4 cm + 12 cm) x 4 cm
2 x 16 cm x 4 cm
= 1 x 16 cm x 2 cm
= 32 cm²
Pupil’s Activities 3 – Exercises/Take Home
Find the area of trapezium,
LESSON FOUR – CONTINUATION OF LESSON 3
To deliver the lesson, the teacher adopts the following steps:
1. To introduce the lesson, the teacher revises the previous lesson. Based on this, he/she asks the pupils some questions;
2. Guides pupils to draw and break the trapezium into two parts (rectangle and triangle) – The area of the trapezium is (Area of Rectangle) + (Area o Triangle) i.e. (L × H) + (h × b / 2).
Pupil’s Activities – Calculate the area of the given trapezium.
3. Guides pupils to calculate land areas expressing the units in hectares.
Pupil’s Activities – Find areas in m² and convert to hectares.
To conclude the lesson for the week, the teacher revises the entire lesson and links it to the following week’s lesson.
1. find the areas of figures which can be divided into rectangles and triangles;
2. calculate the areas of the given shapes or figures.
3. calculate given areas in square metres and convert to hectares.