Lesson Plan Format

Name of School: XYZ                                                     Date: 10/1/09

Class: VIII                                                                       Duration: 40 Minutes

Subject: Mathematics                                                        Period: Third

Topic: Volume of cuboid

Competency:  Computation of  the volume of  a cuboid.

General objective of the lesson: To develop the thinking and reasoning powers of

the students.

Specific objectives:

 i) Students understand the concept of volume.

ii) Students find the formula of the volume of cuboid.

iii) Students apply the formula of the volume of cuboid to

relevant problems.

Teaching/Instructional Material

1. Ordinary classroom materials

2. One dm cube of wood or any solid material

3. A chart showing diagrams of square and rectangle

4. Two cuboids with different dimensions

5. A tin of cuboidal shape

6. A graduated cylinder

7. One centimeter cube piece of some solid

Previous Knowledge

The students know the concept of areas of square and rectangle.

Introduction

To test their previous knowledge and to prepare them for the new lessons, the following questions will be put to them:

1. (By showing the diagram of a square in the chart) How do you calculate the area of this diagram?

2. (By showing the diagram of a rectangle) How will you calculate the area of this diagram?

3. (By showing the tin) If you have to say that this tin can contain so much oil, how can you express?

4. Similarly, if you want to say that a tank can contain so much of water, how can you express?

5. What is the space of a tin or a tank?

6. (By showing the cuboid) How would you name this solid?

7. How will you find out the space or volume of this cuboid?

Statement of the Aim

The student will not be able to answer the last question and the teacher will announce. “Today we shall find out the method of calculating the volume of a cuboid”. The aim will be simultaneously written on the blackboard.

Presentation

Teacher - Pupil Activity

1. By showing the 1 cm. cube. 1 . What are the dimensions of the solid?(Long, broad and thick)

2. What is its shape?

3. What is the difference between a cube and a cuboid ?

Pupil- Teacher Statements:

“It is known as a cube. The cube has all the three dimensions uniform, whereas in the cuboid these may be different.”

4. What is the volume of this cube?

Pupil-Teacher Statement:

“Let us measure it with the help of a graduated cylinder”. The initial reading of the water level will be taken and then the solid will be immersed. The water will rise by one cubic centimetre.

5. By showing the 1 cm³cube, What are the dimensions of this cube?

Ans.: Length = 1 cm

Breadth = 1 cm

Thickness or Height = 1 cm

6. What is the volume of this cube?

Ans. : It is one cubic centimetre (One cubic centimetre is taken as the units of volume).

7. By showing the cuboid of soap , What are the dimensions of this cuboid?

Ans: Length = 5 cm

Breadth = 3 cm

Thickness or Height = 2 cm

8. In how many parts have its length, breadth and thickness respectively been divided?

Ans.: i) The length is divided into 5 parts.

ii) The breadth is divided into 3 parts.

iii) The thickness is divided into 2 parts.

(The teacher will promptly cut this cuboid alongwith lines of division. It will result into 30 parts.)................................(i)

9. What is the shape of each small part?

Ans.: It is cube.

10. What is the dimensions of this small cube?

Ans.: Length = 1 cm

Breadth = 1 cm

Thickness = 1 cm

11. What is the volume of this small cube?

Ans.: It is one cubic cm

This cube will be compared with the cuboid already shown to the students.

12. What is the volume of the whole cuboid?

Ans. The volume of the cuobid = 30 cubic cm..............................(ii)

13.By showing the second cuboid ,What are the dimensions of the cuboid?

Ans.: Length = 6 cm

Breadth = 4cm

Thickness or Height = 2 cm

(Similarly it will result in 48 smallparts). ..............................(iii)

14. What is the volume of one small cube?

Ans.: It is one cubic cm.

15. How many such cubes are there in all?

Ans.: There are 48 such cubes.

16. What is the volume of the whole cuboid?

Ans.: The volume of the cuboid is 48 cubic cm ...................... (iv)

Generalization

For the purpose of generalization, the teacher wil1 draw the student's attention to the parts (i), (ii), (iii) and (iv) and will ask them to observe these to find out some relationship between the dimensions and the volumes of cuboids.

1. What are the dimensions in the first case? Length = 5 cm

Breadth = 3 cm                                                            

Height or thickness = 2 cm

2. What is the volume in this case? Volume = 30 cubic cm.

3. What are the dimensions in the second case?

Length = 6 cm

Breadth = 4 cm

Height or Thickness = 2 cm

4. What is the volume in this case?

Volume = 48 cubic cm.

Blackboard Summary

1. The cuboid has all the three dimensions:

a) Length

b) Breadth

c) Height or Thickness

2. Volume of a cuboid = Length × Breadth × Height or Thickness

Relation

1. What is the use of finding out the volume of air in a room?

Ans :While sitting in a room the person should get a regular supply of fresh air. The minimum essential volume of air should be available to everybody. With the help of total volume of air in a room, a classroom or a hall, we can fix its comfortable seating capacity. If we try to accommodate more than this fixed number, this will be uncomfortable and suffocating for every body.

Recapitulation

1. What do you mean by volume?

2. What is the difference between a cube and a cuboid?

3. What is the formula for the volume of a cuboid?

4. What is the need of finding out volume in different cases?

Home Work

1. What is the volume of air in your classroom, if its dimensions are as follows:

a) Length = 5 Metres

b) Breadth = 4 Metres

c) Height = 3.5 Metres

2. Find the volume of water in a tank if its dimensions are as follows:

a) Length = 350 cm.

b) Breadth = 200 cm.

c) Depth = 100 cm.