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OSWAAL BOOKS

LABORATORY MANUAL

inMATHEMATICS

For Term 2

Class

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This Certificate is

For successfully completing the

Experiments specified in the

CBSE Curriculum

CONTENTS

Unit Topic Page

(v)

Activity 1.

Activity 2. Natural Numbers 11

Activity 3. ODD Natural Numbers 13

Activity 4. Tangent to a Circle - I 15

Activity 5. Tangent to a Circle -II 18

Activity 6. Area of a Circle 20

Activity 7. Area of Right Circular Cylinder 22

Activity 8. Volume of Right Circular Cylinder-I 25

Activity 9. Volume of Right Circular Cylinder-II 28

Activity 10. Circumference of a Circle 30

Activity 11. Lateral Surface Area of a Cone 32

Activity 12. Curved Surface Area & Volume of a Cone 34

Activity 13. Area of a Sphere 36

Activity 14. Volume of a Sphere 38

Activity 15. Medians of a Triangle 40

Activity 16. Probability 42

Activity 17. Trigonometric Ratios 45

• Group Activity 48

Group Activity 1. Live Lattice 49

• Projects

Project 1. Surface Areas and Volumes of Cuboids 52

Project 2. Experiment on Probability 53

Project 3. Displacement and Rotation of a Geometrical Figure 54

Project 4. Frequency of Letters / Words in a Language 55

Arithmetic Progression 9

Experiment

Activities SECOND TERM Practicals should be conducted alongside the concepts taught in theory classes.LIST OF EXPERIMENTS

(vi)

Mathematics Laboratory Work :Work done by students in the Maths lab is a part of Formative assessment. It is further divided into two

parts :• Maths activites : As prescribed in CBSE Mathematics laboratory Manual• Maths Project Work : Some projects are suggested in the CBSE Mathematics laborartory Manual as well

as in the present Manual. Apart from this teacher may select any Maths project in at lease one Formative assessment duration

Sample Rubric for Recording Math lab activity work (15 Marks)

Lab Ethics Performance of Activity File Record(Parameters) Scale 5 to 1 (Parameters)(1 mark each)

Brings material for activity Able to explain concept Index/covercorrectly after completion (5)orComplete activity inthe class independently (5)

Takes interest in class Take help and complete the task (4) Neatness

Regularly attends Math lab Work independently but no Submits work on timeClass able to complete (3)

Takes care of property in Maths lab Tries to perform hands on in the lab (2) Regularly brings file

Listens attentively during Just initiate the task Does correction workdemonstration allotted (1) (if any)

Sample Rubric for Recording Maths project work (10 Marks)

Parameter Observation Points Marks

Topic Selection of Topic 1

Originality Collection of data and information 2

Presentation Creativity 2

Conclusion Inference and Mathematics 2

Involved

Viva Explanation 3

• To verify the given sequence is an A.P. or not by paper cutting and pasting method.• To verify that the sum of first n natural numbers is , by graphical method.

2• To verify that the sum of first n natural numbers is n by activity method.• To verify by paper cutting and pasting that the lengths of tangents drawn from an external point to a circle are

equal• Demonstration that the area of circle is half the product of its circumference and radius• To verify that the sum of areas of three sectors of the same radii r formed at the vertices of any triangle is .• Comparison of surface areas of right circular cylinders made from same rectangular sheet when rolled along

length and when rolled along breadth• Comparison of volumes of right circular cylinders made from same rectangular sheet when rolled along length

and when rolled along breadth.• Demonstration of the formula for the volume of right circular cylinder using clay.• To make a cone of given slant height I and base circumference• Demonstration of formula for lateral surface area of a right circular cone• Demonstration of formula for volume of a right circular cone• Demonstration of formula for surface area of a sphere• Demonstration of formula for volume of a sphere• To show that medians of a triangle concur by paper folding• Probability experiment• Making a clinometers and using it finding height of taller objects

2

n(n+1) 2

PREFACE

(vii)

CBSE always believe in Global Trends of Educational Transformation. The CBSE curriculum gets its lead from National Curriculum Framework – 2005 and Right to Free and Compulsory Education Act – 2009. As said by John Holt “We learn to do something by doing it. There is no other way” is very true and this is the reason why CBSE has Mathematics Practical's as a part of curriculum of class IX and X. So that students can perform what they learn how Mathematics has been applied in our daily life.

The Mathematics Lab Manual for Classes IX & X has been written so as to supplement the need of the students to prepare for lab work and learn mathematics practical during the entire year. Performing mathematics practically also generates interest in students towards mathematics.

This Lab Manual includes all activities and experiments as specified in latest CBSE curriculum. Practical based questions have been included in the form of Multiple Choice Questions (MCQs) and Short Answer Type Questions. At the end of every activity Viva Voce questions have been given for extra practice. Group Activities provide will help students to learn team work. Projects have been added to facilitate collective efforts and extension of learning to real life. Each activity/experiment comprises of theoretical concepts which provides brief description about activities.

This book is strictly according to the latest CBSE guidelines, and contains more than sufficient viva voce questions and brief description of each activity/experiment, which help students in practicing and completing the lab work. All activities and experiments are always checked twice and tried to make precise. Practically, this book provides students everything they need to learn during their lab work. Since we believe in continuous improvement, hence this book has been written with accuracy as well as updated as per CBSE guidelines and reviewed at different tiers by panel of experts.

We are sure that this book will serve as a perfect teaching guide for the teachers and good lab manual for the students. It is expected that they will take full advantage of our knowledge and experience.

At last we would like to thank our authors, editors, reviewers and specially students who regularly send us suggestions which helps in continuous improvement of this book and makes this book stand in the category of “One of the Best”. Wish you all Happy Learning.

–Publisher

Sr. No. Activity / Project

Remarks/Signature

Record of the Activities/Projects performed

PageNo.Date

(viii)

+

a b

c

p

Activity 1

OBJECTIVETo verify the given sequence in an A.P. by paper cutting and pasting method.

PRE-REQUISITE KNOWLEDGE

v

v

Definition of an Arithmetic progression.Let the sequence of an A.P. be a, a + d,a + 2d......... here a = First term andd = Common difference of the A.P.

MATERIAL REQUIRED

PROCEDURE

9

v

v

v

v

v

Coloured papersA pair of scissorsGeometry boxFevicol/GlueSketch Pens

1. Take a given sequence of numbers say a , a , a ......1 2 3

2. Cut a rectangular strip from a coloured paper of width k = 1 cm (say) and length a cm.1

3. Repeat this procedure by cutting rectangular strips of the same width k = 1 cm and lengths a , a , a ,...... cm.2 3 4

4. Take 1 cm squared paper and paste the rectangular strips adjacent to each other in order.

Take strips of lengths 2 cm, 5 cm, 8 cm and 11 cm, all of the same width say 1 cm. Arrange the strips in order as shown in Fig. 1·1. Observe that the adjoining strips have a common difference in heights. (In this example it is 3 cm.)

Take strips of length 1 cm, 4 cm, 6 cm and 9 cm, all of the same width say 1 cm. Arrange the strips in order as shown in Fig. 1·2. Observe that in this case the adjoining strips do not have the same difference in heights.

(A) Let the sequence be 2, 5, 8, 11, ......

(B) Let the sequence be 1, 4, 6, 9 ......

Fig. 1.1 Fig. 1.2

ARITHMETIC PROGRESSION

Oswaal CBSE CCE Laboratory ManualFor Class 10 Term-2 Mathematics

Publisher : Oswaal Books ISBN : 9788184818031 Author : Panel Of Experts

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