HOLIDAY HOMEWORK 2016-17 Class: IX 1. INTEGRATED PROJECT: In accordance with the guidelines of CBSE we are incorporating integrated project based learning wherein students will prepare projects for all the subjects based on a common theme. This endeavor has been taken up with the objective of inculcating the approach of integrating diverse subjects or fields and the spirit of collaborative learning. THEME: UNITY IN DIVERSITY General Instructions:  Integrated project of all subjects to be done in Scrap Book (only).  The areas to be covered are suggested below. You can of course use your creativity and innovation for new ideas too!  Credit will be awarded to original drawings, illustrations and creative use of materials.  The project needs to be developed and presented in this order:  Cover page showing project title, student information, school and Academic year.  List of contents with page numbers.  Acknowledgements (acknowledging the institution, offices and libraries visited and persons who have helped).  The works to be done in this sequence only- 1. English, 2. Mathematics, 3. Science, 4. Social Science, 5. Second Language.  The last page should have Bibliography/ Sources of information from where you have collected your information. ENGLISH INTEGRATED PROJECT: 1. Unity in Diversity is a term coined by Pt. Jawaharlal Nehru, which is unique to Indian context. You have been invited by your local newspaper to write an article on ‘Celebrating Diversity’. Pen down your opinions and thoughts in about 150- 180 words. 2. Write two slogans along with logos depicting Unity in Diversity. CRITERIA FOR EVALUATION: Innovativeness, Presentation, Creativity, Content, Grammar & Spellings 2ND LANGUAGE-HINDI INTEGRATED PROJECT: 1- vusdrk esa ,drk % fo”k; ij 120&130 ‘kCnksa esa fuca/k fyf[k, A OR 2- fn, x, fp= dk o.kZu 80&100 ‘kCnksa esa dhft, A

CRITERIA FOR EVALUATION: Subject matter, Logic, Language, Presentation

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FRENCH INTEGRATED PROJECT : 1. Rédiger les points en détail qui résultent « la unité dans la diversité » (langues, religions et de la nourriture, etc. (100 -150 mots) (Write the factors in detail which result ‘Unity in Diversity’(languages, religions and food etc.). (100-150 words) CRITERIA FOR EVALUATION: Content, Presentation, Resources & Originality, Vocabulary & Sentences formation, Timely Submission. 2ND LANGUAGE-GERMAN INTEGRATED PROJECT: Was verstehst du mit dieses Wort “Unity in Diversity“.Nehmen Sie Beispielen von : Kultur, Sprachen, Ausbildung u.s.w. Schreiben Sie 100-150 Wörter darüber. (What do you mean by „Unity in Diversity“. Take examples from: culture, language, education etc). (100-150 words) CRITERIA FOR EVALUATION: Inhalt, Ideen, Vokabular, Pünktlichkeit (Content, Idea, Vocabulary, Timely submission) MATHEMATICS INTEGRATED PROJECT: Take any company/institution of your choice and find out their employee data. You need to find out the percentage of employees from different states. Then present the collected data in the form of either bar graph or pie chart. CRITERIA FOR EVALUATION: Content, Knowledge, Creativity, Presentation. SOCIAL SCIENCE INTEGRATED PROJECT: 1. How is India a land of unity in diversity? Use culture, tradition, physical features etc. to justify CRITERIA FOR EVALUATION: Presentation, Reflects deeper thinking skills, Style & Organization, Timely Submission. SCIENCE INTEGRATED PROJECT: All elements have unique properties which are characteristics of these elements, yet the uniqueness merges into something new when they chemically combined to form a new compound. 1. a) Write the state of various elements present in nature, e.g. : Na, Mg, H2, O2, Cl2, Br2, Fe and S You can take more such examples. b) Show the various chemical combinations possible; also describe the state of the new compounds. c) Write some commercial, medical uses of any five compounds you made through these combinations. You can highlight your work with appropriate pictures and drawings. CRITERIA FOR EVALUATION: Data collection, authenticity, presentation, content, explanation

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2. ENGLISH BOOK REVIEW: General Instruction: English Book Review needs to be done in stick file/ A-4 sized sheets/coloured pastel sheets. Read the book, Gulliver’s Travels (Part –I) and do the following assignment: 1. Information about the author, your favourite incident or chapter from the book, your reason for liking the book. 2. Write pen-pictures of the following characters: a. Gulliver b. Glumdalclitch c. King of Brobdingnag d. Don Pedro de Mendez CRITERIA FOR EVALUATION: Innovativeness, Presentation, Creativity, Content, Grammar & Spellings 3. MATHEMATICS WORKSHEET/EXERCISE: General Instruction: Mathematics worksheet/exercise needs to be done in stick file/ Mathematics notebook. I) NUMBER SYSTEMS 1. Find five rational numbers between 1 and 2.

(Ans: 7/6,4/3,3/2,5/3 and 11/6)

2. Find six rational numbers between 3 and 4.

(Ans:22/7,23/7,24/7,25/7,26/7,27/7)

3. Find five rational numbers between 3/5 and 4/5.

(Ans:31/50,32/50,33/50,34/50,35/50)

4. Locate the following irrational numbers on the number line. (i ) 2 (ii) 3 (iii) 5

5. Express the following in the form

p , where p and q are integers, q  0 q

(i) 0.6 (Ans:2/3) (ii) 0.47 (Ans:43/90) (iii) 0.001 (Ans:1/999)

6. Visualise the following on the number line, using successive magnification (i) 5.37777 (ii)3.765

(iii) 4.26262

7. Represent the following on the number line (i) 8.2

(ii) 9.3

(iii) 6.3

8. Simplify the following expression (a) (5  5 )(5  5 ) (Ans: 20)

(b) ( 3  7 ) 2

© (3  3 )(3  3 ) (Ans: 6)

(d) ( 5  2) 2

(Ans: 10  2 2 ) (Ans: 9  4 5 )

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9. Rationalise the denominator of the following: (a)

©

1 2 3

( Ans : 2  3 ) (b)

5 5 2

( Ans :

1 73 2

( Ans :

73 2 ) 31

5( 5  2 ) 3 3(5  4 3 ) ) (d) ( Ans : ) 3  23 54 3

10. Simplify the following: 4

4  1 (a)  3 5  ( Ans : 3 5 )  

2

1

13

(b) 2 3 .2 5 ( Ans : 2 15 )

11.Find the following: 1

1

1

(a) 64 2 ( Ans : 8) (b) 32 5 ( Ans : 2) (c) 125 3 ( Ans : 5) 3

1

3

(d) 9 2 ( Ans : 27) (e) 16 4 ( Ans : 8)

1 (f) 729 3 ( Ans : ) 9

II. POLYNOMIALS 1. Verify whether the following are zeroes of the polynomial, indicated against them (a) P(x) = 3x-1,x=-1/3 (b) P(x ) = x 2  2 x ,x=2 © P(x)=  4x 2  5x  3 x=-2 (d) P(x)= 3x 2  1 x=

1 3

(e) P(x)= x 2  x  2 x=2

2. Find the zero of the following polynomial: (a) P(x)= 5 x  3( Ans : x 

3 ) 5

(b) P(x)= lx  m( Ans : x 

m ) l

© P(x)= cx  d ( Ans : x 

d ) c

(d) P(x)= 5x( Ans : x  0) 3 (e) P(x)=  4 x  6( Ans : ) 2 Page 4 of 6

3. Find the value of each of the following polynomial at the indicated value of variables: (a) P(x) =

4 x 2  4 x  3 at x =1

(b) P(x) =

2 x 4  3x 3  2 x 2  9 x  12

(Ans: 5) at x=-1

(Ans:-6)

x 2  6 x  5 at x=2

© P(x) =

(Ans:-3)

(d) P(x) = 2 x  5x  3 at x=3 2

(Ans: 36)

(e) P(x) =

3x 3  10 x 2  9 x  2 at x=1

(Ans: 0)

(f) P(x) =

x 3  8x 2  9 x  18 at x=0

(Ans: 18)

(g) P(x) =

2 x 3  x 2  5x  2

at x=-2

(Ans: 0)

(h) P(x) =

3x 3  5x 2  11x  3

at x=-1

(Ans: 0)

(i) P(x) =

3x 4  6x 3  2x 2  10 x  5 at x= 1

3. Find the remainder when P(x) = 4 x

2

(Ans: -8)

 4 x  3 is divided by x-1

by using remainder theorem 4. Find the remainder when P(x) =

(Ans:5)

2 x 3  x 2  5x  2

is divided by x+2

by using remainder theorem 5. Find the remainder when P(x) =

(Ans:0)

3x 3  10 x 2  9 x  2 is divided by x-1

by using remainder theorem 6. Find the remainder when P(x) = remainder theorem

(Ans:0)

2 x 4  3x 3  2 x 2  9 x  12

is divided by x+1 by using (Ans:-6)

7. Find the value of k , if x-2 is a factor of the polynomial

x 3  4 x 2  px  8

(Ans: 16)

8. Find the value of b if 2x+3 is a factor of the polynomial

2x 3  9x 2  x  b

(Ans: 15)

9. Find the value of k, if x-1 is a factor of the polynomial

4 x3  3x 2  4 x  k

(Ans: -3)

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10. Factorise the following: (a) 12 x  7 x  1 2

(Ans:(3x-1)(4x-1)

(b)

2x 2  7 x  3

(Ans:(x+3)(2x+1)

(c)

3x 2  x  4

(Ans:(x+1)(3x-4)

(d)

6 x 2  5x  6

(Ans:(2x+3)(3x-2)

(e)

x 3  2x 2  x  2

(Ans:(x-1)(x+1) (x-2)

(f)

x 3  3x 2  9 x  5

(Ans:(x+1)(x+1) (x-5)

(g) x  13x  32 x  20

(Ans:(x+1)(x+2) (x+10)

(h) 2 x  x  2 x  1

(Ans:(x-1)(x+1) (2x+1)

3

2

3

2

11. Expand the following using suitable identities: (a) (2 x  3) 2 (b) (5  3x) 2 (c) (2a  b) 3 (d) (2 j  3k ) 3 (e) (2 x  3 y  z ) 2 (f) (3x  2 y  z ) 2 (g) 8 x 2  36 y 2 (h) (121a 2  169b 2 ) (i) (2 x 2  25 y 2 ) (j) (8 x 3  27 y 3 ) (k) (216a 3  125b 3 ) (l) (2 2 x 3  y 3 ) (m) (64a 3  8c 3 ) 2. Evaluate the following using suitable identities: (a)(999) 3

(b)(103) 3

(c)(997) 3

13. For the values x=-2,y=3 and z=1,verify the following identies (i)

x 3  y 3  z 3  3xyz  ( x  y  z )( x 2  y 2  z 2  xy  yz  zx )

(ii)

( x  y  z ) 2  x 2  y 2  z 2  2 xy  2 yz  2 zx

2 2 2 2 ( x  y  z )  x  y  z  2 xy  2 yz  2 zx (iii)

(iv)

( x  y  z ) 2  x 2  y 2  z 2  2 xy  2 yz  2 zx

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