Mathematics - Primary 6 - Volume and capacity

Term: 3^rd Term

Week 5
Class: Primary 6
Age: 11 years
Duration: 40 minutes of 5 periods
Date:
Subject: Mathematics
Topic: Volume and Capacity

SPECIFIC OBJECTIVES:
At the end of the lesson, pupils should be able to:

Calculate the volume of 3-dimensional shapes such as cube, cuboid, cylinder, prism, etc.
State all the properties of solid shapes.
Calculate the capacity of liquid in litres.
Express the capacity in litres and centilitres cube.
Explain the difference between volume and capacity.
Derive the formulae for the volume of solid shapes.

INSTRUCTIONAL TECHNIQUES:

Demonstration
Group activities
Problem-solving approach
Use of teaching aids (charts, models of solid shapes, etc.)
Interactive discussions

INSTRUCTIONAL MATERIALS:

Models of cube, cuboid, cylinder, prism, etc.
Charts with volume and capacity formulae
Flashcards with 3D shape properties
Whiteboard, markers, and erasers
Worksheets for exercises

INSTRUCTIONAL PROCEDURES:

PERIOD 1 and 2:
PRESENTATION

Step	Teacher’s Activity	Pupil’s Activity
STEP 1 – INTRODUCTION	Introduces the concept of volume and capacity. Explains the difference between the two concepts using everyday examples.	Pupils listen and engage in a discussion about volume and capacity.
STEP 2 – EXPLANATION	Demonstrates the volume calculation of a cube, cuboid, and cylinder. Introduces the formula for each.	Pupils observe the demonstration and follow along in taking notes.
STEP 3 - DEMONSTRATION	Demonstrates how to calculate the volume of each solid shape with examples.	Pupils try to solve problems on their own while the teacher offers guidance.
STEP 4 - NOTE TAKING	Explains the properties of solid shapes and the formulas for calculating volume.	Pupils take notes on the formulas and properties of solid shapes.

NOTE (On the Board):

Volume of Cube: V = a³ (where ‘a’ is the length of one side)
Volume of Cuboid: V = l × b × h (length × breadth × height)
Volume of Cylinder: V = πr²h (where r is the radius and h is the height)
Volume of Prism: V = Area of cross-section × height

EVALUATION:

Ask pupils to calculate the volume of a cube and a cuboid from given dimensions.
Solve problems on calculating the volume of different solid shapes.

CLASSWORK:

Calculate the volume of a cube, cuboid, and cylinder with given dimensions.
Solve a word problem that requires volume calculation.

ASSIGNMENT:

Write 5 problems involving the volume of different solid shapes and solve them.

CONCLUSION:
The teacher commends the pupils for their participation and encourages them to practice volume calculations using real-life objects.

PERIOD 3 and 4:
PRESENTATION

Step	Teacher’s Activity	Pupil’s Activity
STEP 1 – INTRODUCTION	Recap previous lesson on volume and introduce the concept of capacity. Explain how volume is related to capacity.	Pupils recall the previous lesson and engage in a short discussion.
STEP 2 – EXPLANATION	Demonstrates the calculation of capacity in litres and centilitres, using examples from real-life (e.g., filling a bottle).	Pupils listen, take notes, and ask questions for clarification.
STEP 3 - DEMONSTRATION	Demonstrates how to convert capacity between litres and centilitres using real-life examples (e.g., measuring liquid in a container).	Pupils practice with the given examples and share answers.
STEP 4 - NOTE TAKING	Pupils take notes on the concept of capacity and the conversion between litres and centilitres.	Pupils write down the conversions and formulae for capacity.

NOTE (On the Board):

1 litre = 100 centilitres
1 centilitre = 0.01 litre

EVALUATION:

Ask pupils to calculate the capacity of different containers in litres and centilitres.
Solve problems involving the conversion between litres and centilitres.

CLASSWORK:

Convert the given capacity from litres to centilitres and vice versa.
Solve a word problem that requires capacity calculation.

ASSIGNMENT:

Find 5 examples of containers with different capacities and calculate the volume and capacity in both litres and centilitres.

CONCLUSION:
The teacher commends the pupils for their active participation and encourages them to keep practicing capacity calculations.

PERIOD 5:
PRESENTATION

Step	Teacher’s Activity	Pupil’s Activity
STEP 1 – INTRODUCTION	Introduces the formulae for the volume of solid shapes. Explains the derivation of the formulae.	Pupils listen and take notes.
STEP 2 – EXPLANATION	Derives the formula for the volume of a cube, cuboid, and cylinder through step-by-step explanation.	Pupils observe and take notes.
STEP 3 - DEMONSTRATION	Demonstrates with practical examples how to apply the volume formulae to real-life situations.	Pupils follow along and solve related problems.
STEP 4 - NOTE TAKING	Pupils write down the formulae and steps for deriving the volume of solid shapes.	Pupils take notes.

NOTE (On the Board):

Cube: Volume = a³
Cuboid: Volume = l × b × h
Cylinder: Volume = πr²h

EVALUATION:

Ask pupils to derive the volume formulae of a cuboid and cylinder from given examples.
Solve problems requiring the application of volume formulae.

CLASSWORK:

Use the derived formulae to calculate the volume of various solid shapes.

ASSIGNMENT:

Write a paragraph explaining the difference between volume and capacity. Provide examples.

CONCLUSION:
The teacher commends the pupils for their active participation and understanding of the derivation and application of volume formulas.

SUMMARY OF LESSON:
This week, pupils will learn to calculate the volume and capacity of solid shapes, including cubes, cuboids, cylinders, and prisms. They will also differentiate between volume and capacity, understand the formulae for calculating volume, and practice these concepts using real-life examples.