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Showing posts from 2014

SQUARING A CIRCLE AND VICE - VERSA - A new approach

Dear Reader, We are well aware of the fact that SQUARING A CIRCLE AND VICE -  VERSA  (using straightedge and compasses only) is impossible because of the trascendency nature of 'pi'  which was proved by German Mathematician Carl Louise Ferdinand Lindemann in 1882. Even after proving this fact, many mathematicians like Jacob de Gelder, Kochansky,  our Indian mathematical legend, Srinivasa Ramanujan who showed his unmatchable ingenuity, tried to construct a square equal in area to the area of the given circle using different rational convergent of 'pi'. They adopted different modes of processes to arrive at the convergent of their choice and their mode provides little chance to reverse the process so that circle can be constructed from the given square. Viewing these deficiencies, KASIRAO. JAGATHAPU, a retired headmaster from V.C.B.R.M.Z.P.   High School, Nellore Dist., A.P. after years of struggle, devised a method not only answering the deficiencies ...

RAMANUJAN'S BIRTHDAY CELEBRATION AT MY HOME

"GANIT UTSAV" - Math's Week Celebrations from 16 - 22 December 2014

Dear Reader, CRPF Public School, Rohini celebrated Mathematics Week as “Ganit Utsav” from 16 December 2014 to 22 December 2014 to remark the 127 th  Birth Anniversary of the great Indian Mathematician  Srinivasa Ramanujan . The  inauguration  was done by honorable chief guest Anita Sharma Madam, Principal, S.D. Public School, Pitam Pura and respected Principal Sir Sh. H.R. Sharma. A series of interesting events for different classes were organized. On the Inaugural day i.e. 16 December 2014, lecture on Ramanujan and his life was delivered by honorable chief guest Anita Sharma Madam and also by Mr. Amit Bajaj, HOD (Mathematics). Many Mathematical competitions were organized on different days. 1.         POSTER MAKING COMPETITION  FOR CLASSES VI – VIII  (THEME:  MATH’S IN DAILY LIFE) 2.       ORIGAMI   FOR CLASSES III – V 3.        SCREENING OF VIDEOS BY VIG...

HAPPY BIRTHDAY TO GENIUS MATHEMATICIAN - SRINIVASA RAMANUJAN

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Srinivasa Ramanujan (22 December 1887 – 26 April 1920) was an Indian mathematician, who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Ramanujan independently compiled nearly 3900 results (mostly identities and equations). His work continues to inspire mathematicians even today!  Srinivasa Ramanujan, born into a poor Brahmin family at Erode on Dec. 22, 1887, attended school in nearby Kumbakonam. By the time he was 13, he could solve unaided every problem in Loney's Trigonometry, and at 14 he obtained the theorems for the sine and the cosine that had been anticipated by L. Euler. Ramanujan became so absorbed in mathematics that when he entered the local government college in 1904 with a merit scholarship, he neglected his other subjects and lost the scholarship. Ramanujan married in 1909, and while working as a clerk he continued his mathematical investigations. In January 1913 Ramanujan sent some of...

XII CLASS CBSE MATHEMATICS 2013-14 PAPERS AND SAMPLE PAPER FOR 2014-15

Dear class XII Students, I hope that all of you are doing well in ongoing Pre-Board Exams 2014. For your reference I am providing the links to 2014 Math’s CBSE Papers as well as latest Sample Paper issued by CBSE. Click on the following link and download all the papers. For other subjects, please check this link . All the best Amit Sir

Second Term Exam 2014- 15 Mathematics Class XII (SOLUTION KEY)

Dear class XII Students, I hope that all of you must have performed well in the Second Term Exam held today i.e. 16 December 2014.  For your reference I am providing both the sets of the question paper and the solution key.  Question Papers: Set A        Set B Solution Key All the best... Amit Sir

Fifth Intra School Mathematics Olympiad - RESULT

Dear Reader, The Fifth Intra School Mathematics Olympiad was held on 7 November 2014. Hopefully, it was a great learning experience for all. It surely provided an extended platform for all the participating students and it is wished that it is utilized to its fullest. Here are many young   Ramanujan’s   and   Shakuntala Devi’s   in our school who had performed very well in the exam. Check out the result here: V-VIII RANK HOLDERS      V-VIII MERIT HOLDERS IX-XII RANK HOLDERS    IX-XII MERIT HOLDERS   Congratulations to all the rank and merit holders for their brilliant performance in the  Olympiad. You may again like to see the   question papers   and their solutions.

Fifth Intra School Mathematics Olympiad - Solution Key

Dear All, Mathematics, often called as language of nature has become an integral part of everyone’s life. In today's highly competitive world, one has to bear a lot of mental stress and also have to get involved in so many things in order to acquire knowledge. This is where co-scholastic activities play a very significant role. They provide the much needed exposure for a student. CRPF Public School has fulfilled its motto of striving towards excellence by organizing and successfully completing its Fifth Intra School Mathematics Olympiad on 7 November 2014. Around 250 students enthusiastically participated in the Olympiad held in school premises. Such Olympiads and events provide a great and extended platform for the students to nurture and showcase their ability and talent. It was a towering learning experience for the students of the school from class VI to XII. To encourage students, merit certificates will be given to those scoring at least 60% along with the normal pr...

National Test of Math Knowledge

National Test of Math Knowledge Level 1 Eligibility: All students of class 9 to 12 who are enrolled on full-time basis with a CBSE school are eligible to take NTMK.  Date: 11 December 2014 (Thursday) Fee: Rs 250  Syllabus For level 1, students will be assessed on the following chapters: Class 9 - Number Systems, Polynomials, Coordinate Geometry, Lines and Angles, Triangles Class 10 - Real Numbers, Polynomials, Pair of Linear Equations, Triangles, Trigonometry Class 11- Sets, Relations and Functions, Trigonometry, Complex Numbers, Mathematical Induction, Linear In-equations Class 12 - Relations and Functions, Inverse Trigonometric Functions, Matrices & Determinants, Differential Calculus DoK Level Distribution and Marks Student gets 90 minutes to attempt 30 questions worth 60 marks distributed as follows: ·  10 questions of 1 mark each for DoK 1 ·  15 questions of 2 mark each for DoK 2 ·  5 questions of 4 mark each for DoK 3 MathBuster Book of P...

Inter-House Mathematics Competition - RESULTS

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Dear Reader, Mathematics Department has organised Mathematics Week successfully. Students took part enthusiastically and had a great learning experience. CLASS VI - GREAT MATHEMATICIAN CLASS - VII MATHEMATICS BOOK COVER DESIGN CLASS - VIII MATHEMATICS QUIZ CLASS IX - MATHS MODEL MAKING CLASS X,XI,XII - SUDOKU

Mathematics Week Celebrations

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Class XII First Term Exam(2014-15) Mathematics - SOLUTIONS

Dear class XII Students, Hope you all must have done your Math’s paper well. Here is the Question Paper . Please check out the Solutions here . (Right click the above link and choose the option "Save link/target as") ALL THE BEST Amit Sir

Indian-origin mathematician Manjul Bhargava wins Fields Medal

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Dear Reader, Manjul Bhargava, a Canadian mathematician of Indian origin, has been awarded the prestigious 2014 Fields Medal at the International Mathematical Union’s (IMU) International Congress of Mathematicians held in Seoul. Bhargava, 40, is the first person of Indian origin to receive the prestigious medal, which has been awarded since 1936 and recognizes outstanding mathematical achievement for existing work and the “promise of future achievement”. Known to colleagues as a gifted mathematician who would devise new and simple methods to prove centuries-old theorems in number theory, Bhargava’s work has been described by IMU as based both on a deep understanding of the representations of arithmetic groups and a unique blend of algebraic and analytic expertise. Bhargava was awarded the medal “for developing powerful new methods in geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves”, IMU said. One of Bhargava’s mo...

Weekly Test XI and XII Class - Paper and Solution Key

Dear Reader, Weekly test was held in the classes XI and XII. Hope that all the students have performed well. Here is the test paper and its answer key. Class XI : Test Paper      Solution Key Class XII : Test Paper      Solution Key In case any doubt, kindly drop a small email at amitbajajcrpf@gmail.com Amit Sir

Do you know what’s special about today, 22 July?

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Dear Reader, Well, today is Pi Approximation Day. Pi Approximation Day celebrates the mathematical constant Ï€ (pi). It is observed on July 22, due to Ï€ being roughly equal to 22/7. The fractional approximation of Ï€ ,22⁄7, resembles the date July 22 in the day/month format, where it is written 22/7. Pi Approximation Day is therefore celebrated on July 22. In geometry, pi is defined as the ratio of a circle's circumference to its diameter. July 22, often written as 22/7, is an appropriate day to explore pi, since 22 divided by 7 is an approximation of pi. Pi Approximation Day is celebrated in a number of ways, including contests to memorize pi to the most decimal places, solving math problems involving pi, discovering the history of pi, ruminating on how life would be different without pi and—of course—eating pie. So, enjoy this mathematical day ... Amit Sir

THREE DAYS MATH'S WORKSHOP CONDUCTED BY ME AT SAINIK SCHOOL, TILAIYA

Dear All I am delighted to share with you all that I was invited by Sainik School,Tilaiya , Jharkhand to conduct a three days workshop for teachers from all the 24 Sainik Schools across the country.  In those three days I along with another Math’s expert Mrs. Shuchi Goyal discussed Mathematics beyond Curriculum, Problem Solving, Model Making, and various Hands-on-activities etc. It was really a fun-filled great learning and sharing experience. All the participants enjoyed the sessions and took part in each activity enthusiastically. It is obvious that if teachers of any age or many years experience can enjoy this Mathematics, I am certain the students will also enjoy the same with more zeal and enthusiasm. The only pre-requisite condition is that as a Mathematics teacher we are passionate learner, flexible, ready to change for betterment and have will and desire to do best for the students. It is hoped that all the teachers who attended these sessions are now ready to cr...

MCQ TEST - INVERSE TRIGONOMETRY

Dear class XII students, A multiple choice questions based test was held in all the sections of XII. Hope you have performed well in the same. Here is the test paper and its answer key . In case any doubt, kindly drop a small email at amitbajajcrpf@gmail.com Next scheduled test: Continuity and Differentiation on 19 May (Monday) Amit Sir

MCQ BASED TEST MATRICES AND DETERMINANTS

Dear class XII students, A multiple choice questions based test was held today in the classes. Hope you have performed well in the same. Here is the test paper and its answer key . These files are password protected which was shared with the students in the classroom. In case any other person wishes to see the paper, kindly drop a small email at amitbajajcrpf@gmail.com I will share the password with you. Next scheduled test: Inverse Trigonometry on 25 April (Friday) Amit Sir

Change in Pattern of CBSE XII Maths Paper for session 2014-15

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Dear All, I hope that most of you are aware of certain changes in the pattern of CBSE math's paper class XII from this session onward. For your ready reference I am providing the same. (click on images to enlarge) Download curriculum for class XI and XII from here .

For Class XII Mathematics Students

Dear class XII Students, Hope you have done well in your exams held till date. I am providing links of previous year's papers held in school for past 4-5 years (with solutions). I hope it will help you to prepare better for the examination. All the best! Links for All helpful Resources for class XII Mathematics Value based: http://amitbajajcrpf.files.wordpress.com/2013/12/vb_maths_eng_12.pdf Latest Sample Paper by CBSE:   http://amitbajajcrpf.files.wordpress.com/2013/12/mathematics_xii.pdf Sample Papers by Directorate of Education (given to every Government School Students): http://amitbajajcrpf.files.wordpress.com/2013/12/12_math_english_2013-page-136-172-for-sp.pdf (Also check two Sample papers from page number 136 onward) Previous year’s papers (held in School) http://amitbajajmaths.blogspot.in/2012/03/addition-in-mathematics-syllabus-in.html http://amitbajajmaths.blogspot.in/2013/09/class-xii-first-term-exam2013-14.html http://amitbajajmaths.blogspot....

Solution Key -- Class XII Mathematics (Pre-Board 2013-14)

Dear class XII Students, Hope this time all of you must have performed well in the exam.  I am providing you with both the sets of the question paper and the solution key. Question Papers: Set A       Set B Solution Key All the best for board examination. Amit Sir