Study Material - Class XII Maths - Kendriya Vidyalaya No.2 - AFS

242 Pages·2014·12.48 MB·English

विद्यालय

कें द्रीय सगं ठननई दिल्ऱी
KENDRIYA VIDYLAYA SANGTHAN NEW DELHI

Venue: KVS ZIET MYSORE

th th
Date: 15 to 17 July, 2014

RESOURCE MATERIALS

CLASS XII(2014-15)(Mathematics)

आचं लऱकलिऺाएवंप्रलिऺणसंस्थान

जीआईटीबीप्रेसकै म्पस, लसद्धाथनथ गर, मैसूर-570011

KVS Zonal Institute of Education and Training
GITB Press Campus, Sid dartha Nagar, Mysore
Website: www.zietmysore.org,

kvs
Email: [email protected]/[email protected]

Phone: [phone] Fax: [phone]
कें द्रीय विद्याऱय संगठन नईदिल्ऱी
KENDRIYA VIDYLAYA SANGTHAN NEW DELHI

आंचलऱक लिक्षा एि ं प्रलिक्षण संस्थान मैसूर
ZONAL MINSTITUTE OF EDUCATION AND
TRAININGMYSORE

िप्र
3-Day Strategic Action plan workshop

th th
15th-1555((15 to 17 July, 2014
आं
DIRECTOR
Mr.S Selvaraj
DEPUTY COMMISSIONER
KVS ZIET Mysore
COURSE DIRECTOR
Mrs.V. Meenakshi
ASSISTANT COMMISSIONER
KVS ERNAKULUM REGION

ASSOCIATE COURSE DIRECTOR
Mr. E. Krishna Murthy
PRINCIPAL, KV NFC Nagar
OUR PATRONS

Shri AvinashDikshit , IDAS
Commissioner

Sh. G.K. Srivastava, IAS
Addl. Commissioner (Admn)

Dr. Dinesh Kumar
Addl. Commissioner (Acad.)

Dr. Shachi Kant
Joint Commissioner (Training)

ऺाएवंप्रलिऺ

णसंस्थान
FOREWORD
Excellence and perfection has always been the hallmark of KendriyaVidyalayaSangathan in
all its activities. In academics, year after year, KVS has been showing improved performance
in CBSE Examinations, thanks to the consistent and committed efforts of the loyal KVS
employees, the teachers, Principals and officials collectively. Every year begins with a new
strategic academic planning, carefully calibrated to achieve the targeted results. In line with
the holistic plan of KVS, ZIET Mysore took the initiative to organize a 3-day Strategic
Action Plan Workshop from 15th to 17th July, 2014, in the subjects of Physics, Chemistry,
Mathematics, Biology and Economics to produce Support Materials for students as well as
teachers so that the teaching and learning process is significantly strengthened and made
effective and efficient.
For the purpose of the Workshop, each of the four Regions namely Bengaluru, Chennai,
Ernakulam and Hyderabad was requested to sponsor two highly competent and resourceful
Postgraduate Teachers in each of the above mentioned subjects. Further, in order to guide
and monitor their work, five Principals with the respective subject background were invited
to function as Associate Course Directors:
1. Mr. E. Krishna Murthy, K.V. NFC Nagar, (Mathematics)
2. Mr. M. Krishna Mohan, KV CRPF Hyderabad(Economics)
3. Mr. R. Sankar, KV No.2 Uppal, Hyderabad (Biology)
4. Dr. (Mrs.) S. Nalayini, K.V. Kanjikode (Physics)
5. Mr. T. Prabhudas, K.V. Malleswaram (Chemistry)
In addition to the above, Mrs. V. Meenakshi, Assistant Commissioner, KVS, Regional
Office, Ernakulam willingly agreed to support our endeavor in the capacity of the Course
Director to oversee the workshop activities.
The Workshop was aimed at creating such support materials that both the teachers and the
students could rely upon them for complementing the efforts of each other to come out with
flying colours in the CBSE Examinations. Accordingly, it was decided that the components
of the package for each subject would be:
(1) Chapter-wise concept Map.
(2) Three levels of topic-wise questions.
(3) Tips and Techniques for teaching/learning each chapter.
(4) Students’ common errors, un-attempted questions and their remediation.
(5) Reviewed Support Materials of the previous year.
In order to ensure that the participants come well-prepared for the Workshop, the
topics/chapters were distributed among them well in advance. During the Workshop the
materials prepared by each participant were thoroughly reviewed by their co-participantS and
necessary rectification of deficiencies was carried out then and there, followed by
consolidation of all the materials into comprehensive study package.
Since, so many brilliant minds have worked together in the making of this study package, it is
hoped that every user- be it a teacher or a student – will find it extremely useful and get
greatly benefitted by it.
I am deeply indebted to the Course Director, Smt. V. Meenakshi, the Associate Course
Directors viz., Mr. E. Krishna Murthy, Mr.M. Krishna Mohan, Mr. R. Sankar, Dr.(Mrs.) S.
Nalayani and Mr. T. Prabhudas and also all participants for their significant contribution for
making the workshop highly successful, achieving the desired goal. I am also greatly
thankful to Mr. M. Reddenna, PGT [Geog](Course Coordinator) and Mr. V.L. Vernekar,
Librarian and other staff members of ZIET Mysore for extending their valuable support for
the success of the Workshop.
Mysore ( S. SELVARAJ )
17.07.2014 DIRECTOR
Three Day workshop on Strategic planning for achieving quality
results in Mathematics

“With a clever strategy, each action is self-reinforcing. Each action creates more options
that are mutually beneficial. Each victory is not just for today but for tomorrow.”
― Max McKeon

KVS, Zonal Institute of Education and Training, Mysore organized a 3 Day Workshop on
‘Strategic Planning for Achieving Quality Results in Mathematics’ for Bangalore,
Chennai, Hyderabad, & Ernakulum Regions from 15th July to 17th July 2014.
The Sponsored Seven Post Graduate Teachers in Mathematics from four regions were
allotted one/ two topics from syllabus of Class XII to prepare concrete and objective Action
Plan under the heads:
1. Concept mapping in VUE portal 2. Three levels of graded exercises3
3.Value based questions 4. Error Analysis and remediation
5.Tips and Techniques in Teaching 6. Fine-tuning of study material supplied in
Learning process 2013-14.
As per the given templates and instructions, each member elaborately prepared the action
plan under six heads and presented it for review and suggestions and accordingly the package
of study materials were closely reviewed, modified and strengthened to give the qualitative
final shape. The participants shared their rich and potential inputs in the forms of varied
experiences, skills and techniques in dealing with different concepts and content areas and
contributed greatly to the collaborative learning and capacity building for teaching
Mathematics with quality result in focus.

I wish to place on record my sincere appreciation to the Associate Course Director Mr.E
Krishnamurthy, Principal, K.V.NFC Nagar, Hyderabad, the Resource Persons, the Course
Coordinator Mr.M.Reddenna, PGT (Geo) ZIET Mysore and the members of faculty for their
wholehearted participation and contribution to this programme.
I thank Mr. S.Selvaraj, Director KVS, ZIET,Mysore for giving me an opportunity to be a part
of this programme and contribute at my best to the noble cause of strengthening Mathematics
Education in particular and the School Education as a whole in general.
My best wishes to all Post Graduate Teachers in Mathematics of Bangalore, Chennai,
Ernakulum and Hyderabad Regions for very focused classroom transactions using this
Resource Material (available at www.zietmysore.org) to bring in quality and quantity results
in the Class XII Board Examinations 2015.
Mrs.V Meenakshi
Assistant Commissioner
Ernakulum Region
From Associate Director’s Desk:

In-service Courses, Orientation Programmes and workshops on various issues are
integral part of Kendriya Vidyalaya Sangathan. These courses provide the teachers
opportunities to learn not only the latest in the field of Mathematics teaching, latest
technologies in teaching learning process to update themselves to become professional
teachers but also help the teachers to face the emerging challenges of present day world.

The 03 day workshop for preparation of Practice papers and strategic plan for
achieving quality result in CBSE Examinations for class XII in Mathematics organized at
ZIET, Mysore, is designed with time table which gives sufficient room for Concept mapping
on various Chapters, Strategic plan to improve results of Class XII, Preparation of Value
based and graded questions, common errors committed by students and methods of
remediation, methods to make the students to attempt questions from difficult areas of
Mathematics and Chapter- wise tips and techniques to maximize the scores in the CBSE
Examinations. This time table has been carried out with utmost care and lot of material has
been prepared by the team of well experienced teachers selected for this purpose from KVS
Hyderabad Bangalore, Chennai and Ernakulam Regions.

The material prepared is so useful to the teachers to produce better and quality results
and make the teaching – learning is easier and effective.

I record my sincere appreciations to all the Resource persons for their sincere efforts,
dedication, commitment and contribution in preparing the material and Strategic plan to
improve the performance of students in CBSE Examinations.

I too have learned and enjoyed working with the Resource persons during three day
workshop in preparing the strategic plan. I express my sincere gratitude to KVS authorities
particularly Shri. S Selvaraj, Director, ZIET Mysore and Mrs. V. Meenakshi, Asst.
Commissioner, Ernakulam Region and Course Director for providing me the opportunity to
participate in 03 day workshop as Associate Director.

Also I express my sincere thanks to the faculty and staff of ZIET Mysore for their
kind support in successful organization of 03 day workshop.

My best wishes to all the students and teachers.

E KRISHNA MURTHY
Associate Director and Principal
Kendriya Vidyalaya, NFC Nagar,
Hyderabad Region
KVS-ZIET-MYSORE
03-day Workshop on Strategic Action Plan 15-17.07.14 - Details for Contact
Sl No Name in English Design. K.V in English Region Phone No. E-mail Address
1 Mrs. V. Meenakshi Asstt.Commr. Regional Office Ernakulam 9496146333 [email protected]

2 Mr. E. Krishna Murthy Principal NFC Nagar,Ghatkesar Hyderabad 9989063749 [email protected]

3 Mr. T. Prabhudas Principal Malleswaram Bangalore 8762665990 [email protected]

4 Dr(Mrs.) S. Nalayini Principal Kanjikode Ernakulam 9446361186 [email protected]

5 Mr. M. Krishna Mohan Principal CRPF Hyderabad Hyderabad 9440865761 [email protected]

6 Mr. R. Sankar Principal No.2 Uppal Hyderabad 9491073600 [email protected]

7 Mr. E.N. Kannan PGT(Phy) BEML Nagar Bangalore 8762208431 [email protected]

8 Mr. D.B. Patnaik PGT(Bio) Railway Colony Bangalore 8971240593 [email protected]

9 Mr. K.S.V. Someswara Rao PGT(Phy) MEG & Centre Bangalore 9448708790 [email protected]/[email protected]

10 Mr. K.R. Krishna Das PGT(Maths) No.1 AFS Sambra Bangalore 8951648275 [email protected]

11 Mr. G.N. Hegde PGT(Maths) Dharwad Bangalore 9448626331 [email protected]

12 Dr. Vivek Kumar PGT(Chem) CRPF Yelahanka Bangalore 8970720895 [email protected]

13 Mr. RangaNayakulu .A PGT(Chem) Hebbal Bangalore 7899287264 [email protected]

14 Mrs. G.K. Vinayagam PGT(Bio) No.2 Belgaum Cantt. Bangalore 9448120612 [email protected]

15 Mr. D. Rami Reddy PGT(Eco) Railway Colony Bangalore 9740398644 [email protected]

16 Mrs. T.M. Sushma PGT(Eco) Hebbal Bangalore 8762691800 [email protected]

17 Mrs. Asha Rani Sahu PGT(Maths) Mysore Bangalore 9902663226 [email protected]

18 Mrs. Joan Santhi Joseph PGT(Chem) IS Grounds, Chennai Chennai 9940945578 [email protected]

19 Mrs. C.V. Varalakshmi PGT(Phy) AFS Avadi, Chennai Chennai 9003080057 [email protected]

20 Mr. Siby Sebastian PGT(Maths) Gill Nagar Chennai 8056179311 [email protected]

21 Mr. S. Vasudhevan PGT(Chem) DGQA Complex Chennai 9444209820 [email protected]

22 Mrs. Sathya Vijaya Raghavan PGT(Eco) Minambakkam Chennai 9445390058 [email protected]

23 Mr. S. Kumar PGT(Phy) No.1 Kalpakkam Chennai 8015374237 [email protected]

24 Mrs. A. Daisy PGT(Bio) Minambakkam Chennai 9840764240 [email protected]

25 Mrs. C.K. Vedapathi PGT(Bio) IIT Chennai Chennai 9841583882 [email protected]

26 Mrs. J. Uma PGT(Eco) Annanagar Chennai 9840988755 [email protected]
27 Mrs. Sulekha Rani .R PGT(Chem) NTPC Kayamkulam Ernakulam 9745814475 [email protected]

28 Mrs. Mary V. Cherian PGT(Bio) SAP Peroorkada Ernakulam 9447107895 [email protected]

29 Mrs. Susmitha Mary Robbins PGT(Phy) Kalpetta Ernakulam 9495528585 [email protected]

30 Mr. Joseph K.A PGT(Eco) R.B Kottayam Ernakulam 9446369351 [email protected]

31 Mrs. Jyolsna K.P PGT(Maths) No.1 Calicut Ernakulam 9447365433 [email protected]

32 Mrs. UshaMalayappan PGT(Eco) Kanjikode Ernakulam 9496519079 [email protected]

33 Mrs. Sujatha M. Poduval PGT(Bio) Keltron Nagar Ernakulam 9446494503 [email protected]

34 Mr. Prashanth Kumar .M PGT(Phy) Keltron Nagar Ernakulam 9400566365 [email protected]

35 Mr. Sibu John PGT(Chem) Ernakulam Ernakulam 9544594068 [email protected]

36 Mr. N.S. Subramanian PGT(Maths) Gooty Hyderabad 9490039741 [email protected]

37 Mrs. Josephine Balraj PGT(Maths) No.1 AFA Dundigal Hyderabad 9440066208 [email protected]

38 Mr. B. Sesha Sai PGT(Phy) AFS Hakimpet Hyderabad 9912384681 [email protected]

39 Mr. V.V..S.Kesava Rao PGT(Phy) Gachibowli Hyderabad 9490221144 [email protected]

40 Kum. SanuRajappan PGT(Eco) Gachibowli Hyderabad 9640646189 [email protected]

41 Mr. M.T. Raju PGT(Bio) AFS Begumpet Hyderabad 9652680800 [email protected]

42 Mr. D. Ashok PGT(Chem) CRPF Hyderabad Hyderabad 9618012035 [email protected]

43 Mr. D. Saidulu PGT(Chem) AFS Begumpet Hyderabad 9908609099 [email protected]

44 Mrs. Surya KumariBarma PGT(Eco) AFS Begumpet Hyderabad 9441779166 [email protected]

45 Dr. K.V. Rajendra Prasad PGT(Bio) NTPC Ramagundam Hyderabad
3 DAY WORK SHOP ON STRATEGIC PLANNING FOR ACHIEVING QUALITY RESULT IN
MATHEMATICS,PHYSICS, CHEMISTRY,BIOLOGY, & ECONOMICS

15/07/14 TO 17/07/14
TIME TABLE
DATE/DAY
SESSION 1 SESSION 2 SESSION III SESSION IV
(09:00-11:00 AM) (11:15-01:00 PM) ( 02:00- (03:45- 05:30
03:30PM) )
15/07/14 Insight into Strategic
Presentation Presentation
TUESDAY VUE& action plan to Review of
Inauguration of Concept of fine-tuned
Concept achieve quality Study Material
Mapping study material
Mapping result.
16//07/14 Error analysis
WEDNESDAY and
Presentation Preparation
Preparation of Preparation of Presentation of remediation.
of Value of 3 levels of
Value based 3 levels of 3 levels of Un attempted
Based question
questions. questions questions. questions in
questions. papers.
tests and
examinations
17/07/14 Tips and
THURSDAY techniques
Presentation Subject wise
(Chapter wise) Consolidation Consolidation Valedictory
of tips and specific
in teaching of material of material Function
techniques. issues
learning
process

11.00 -11.15 1.00 - 2.00 3.30-3.45

Tea break Lunch break Tea Break
0
Workshop on Preparation of Strategic Action plan and Resource material in
Maths/Physics/Chemistry/Biology/Economics
Venue: ZIET, MYSORE15.07.14 to 17.07.14

S.No. INDEX
01 Top sheet

02 Opening page

03 Our patrons

04 FOREWORD

05 MESSAGE BY COURSE DIRECTOR

06 MESSAGE BY ASSOCIATE COURSE DIRECTOR

07 LIST OF RESOURCE PERSONS (address,e-mail id,phone no.)

08 Time table

09 Strategic action plan to achieve quality result

10 Fine-tuned Study material

11 Value based question bank

12 Graded exercise questions (Level I,II,III)

13 Error analysis, remediation, unattended questions in exams.

14 Tips and Techniques

15 Strategic action plan to achieve quality result

16 Concept mapping

1