TOPIC: PERIMETER AND CIRCUMFERENCE
A: TEACHING AND LEARNING MATERIALS
- Ruler.
- Measuring tape.
- Cardboard shapes.
- Circular objects.
- String.
- Chalkboard/whiteboard.
- Pupils’ exercise books and pencils.
B: REFERENCE MATERIALS
- Scheme of work.
- Recommended Mathematics textbook for Primary 5.
- Online educational resources.
C: PREVIOUS KNOWLEDGE
The pupils have learnt basic plane shapes such as squares, rectangles, triangles and circles and can measure length using centimetres and metres.
D: PERFORMANCE OBJECTIVES
By the end of the lesson, pupils should be able to:
- Explain perimeter.
- Find the perimeter of a square.
- Find the perimeter of a rectangle.
- Find the perimeter of simple irregular shapes.
- Explain circumference.
- Identify the radius and diameter of a circle.
- Calculate the circumference of a circle.
E: CONTENT
Meaning of Perimeter
The perimeter is the total distance around a shape.
Perimeter of a Square
A square has four equal sides.
Perimeter = 4 × side
Example:
Side = 5 cm
Perimeter = 4 × 5
\= 20 cm
Perimeter of a Rectangle
A rectangle has two lengths and two breadths.
Perimeter = 2 × (Length + Breadth)
Example:
Length = 8 cm
Breadth = 4 cm
Perimeter = 2 × (8 + 4)
\= 2 × 12
\= 24 cm
Perimeter of a Triangle
Add the lengths of all three sides.
Example:
Sides = 4 cm, 5 cm and 6 cm
Perimeter:
4 + 5 + 6 = 15 cm
Circumference
The circumference is the distance around a circle.
⭕ The radius is the distance from the centre to the edge.
⭕ The diameter passes through the centre from one side of the circle to the other.
Diameter = 2 × radius
Circumference of a Circle
We can use:
Circumference = π × diameter
or
Circumference = 2 × π × radius
For simple calculations:
π = 22/7
Example:
Diameter = 14 cm
Circumference:
22/7 × 14
\= 44 cm
F: LESSON PRESENTATION
F1: Teachers’ Activities
- Revises common plane shapes.
- Explains perimeter.
- Demonstrates how to calculate the perimeter of squares and rectangles.
- Shows pupils how to find the perimeter of triangles.
- Introduces circumference.
- Identifies radius and diameter using circular objects.
- Demonstrates a simple circumference calculation.
F2: Pupils’ Activities
- Identify different plane shapes.
- Measure sides of shapes.
- Calculate perimeter.
- Identify radius and diameter.
- Measure circular objects.
- Calculate simple circumference.
- Solve practice questions.
G: CONCLUSION
The teacher revises perimeter and circumference and corrects pupils where necessary.
Pupils are reminded that perimeter is the distance around a plane shape, while circumference is the distance around a circle.
H: EVALUATION GUIDE
Pupils should be able to answer the following questions:
- What is perimeter?
- Find the perimeter of a square with side 6 cm.
- Find the perimeter of a rectangle with length 10 cm and breadth 5 cm.
- Find the perimeter of a triangle with sides 4 cm, 6 cm and 8 cm.
- What is circumference?
- What is the diameter of a circle with radius 7 cm?
- Find the circumference of a circle with diameter 14 cm. Use π = 22/7.