11/2/14

LESSON PLAN ON QUADRAQTIC EQUATION CLASS 10



SUBJECT: MATHEMATICS          CLASS: X                 SECTION: (A+B)    
SYLLABUS TO BE COVERED FROM: 1/11/2014 TO 15/11/2014 
TOPIC: QUADRATIC EQUATIONS
CONTENT: The aim of the topic is to develop the fallowing concept about  the quadratic equation.
·       Introduction of quadratic equation based on the concept learn t in the previous year  and bridging the gap if necessary
·       Defining the quadratic equation.
·       Factorization of the quadratic equation
·       Solution of the quadratic equation by factorization method.
·       Solution of the quadratic equation by completing the square
·       Solution of the quadratic equation by formula method.
·       Testing the nature of roots of the quadratic equation.
·       Solution by graphical method.
·       Words problems to be used in day to day life situation.
INSTRUCTIONAL OBJECTIVES:   pupils will be made to know about  
·        New terms found in the topic.
·       Concept of the quadratic equation and its standard form.
·       Testing the nature of equation by discriminant method.
·       Different methods of finding the roots of the quadratic equation.
·       Framing the quadratic equation using the given statement.
·       How to draw the graph of quadratic equation and hence to find its zeroes.
TEACHING AIDS TO BE USED: To reinforce the concept for ever in the pupil’s mind the fallowing teaching aids can used.
·       Model of quadratic equation solver  will be used to find the roots of the given quadratic equation when coefficient of x2 is unity.
·       Identifying roots of the quadratic equation by curve sketching.
·       Studying the parabolic curve and finding the zeroes.
INNOVATIVE  PRACTICE TO BE USED
Divide the pupils into sub groups consist of four members provide the questionnaire to them along with model/chart/table/curve sketching etc so that to use the models to get zeroes of the quadratic equation found in the questionnaire, let them discuss and solve the problems pertaining to quadratic equation. Pupils will be directed to solve the problem by using different method learnt in the above topic and  The group which has come with correct answer and enable to demonstrate the zeroes of given quadratic equation both  experimentally and as well as induction hypotheses is to be awarded the ranks.
LABORATORY ACTIVITY TO BE CONDUCTED
Each four members group of pupils were instructed to discuss the problem assigned and perform the activity to get more enthusiasm in teaching learning process for ever.
·       To identify the zeroes of the given quadratic equation by sketching the curve and straight line..
·       Reading the zeroes of the given quadratic equation by inspecting the curve.
·       To prepare the playing cards of squares and rectangle of given quadratic equation and arrange them to fit them so as to obtain factors and hence to get zeroes.
·       Verify the roots of quadratic equation by experimental method and also by formula method.
·       Checking the nature of given sets of quadratic equation by discriminant method 


 PROJECT TO BE INITIATED

Each group of pupils was instructed to generate problems of quadratic equation and hence find the solution by arranging the cards so prepared using the concept of squares and rectangles, then to submit the pack of cards so prepared to mathematic laboratory. Or finding the nature of existence of roots of quadratic polynomial by sketching curves.
                                      Or
Construction of working models to find the roots of quadratic equation and submit the same to mathematics laboratory.
                                    Or
Each group of will directed to prepare power point presentation of particular method of finding zeroes
                                Or
The group will be directed to prepare quiz questioner using power point presentation.
ASSIGNMENT/HOME WORK TO BE GIVEN

To have thorough understanding of knowledge about the topic and supplement the concept learnt in the class room the fallowing methods can be adopted.
·       Problems assigned by the teacher
·       Problems other than text book.
·       Problems collected from reference boock
·       Problems asked in CBSE sample papers
EXPECTED BEHAVIORAL OUTCOME OF THE TOPIC
After the rigorous practice and successful completion of the topic pupils able to
Ø Recall the concept learn t
Ø Understand the types different methods to solve quadratic equation.
Ø Apply the knowledge to solve problems of daily life situation as and when they come across.
Ø To link the concept to higher class problems
Ø  To develop the spirit of solving the problems based on the HOTS.
Ø Analyze the critical situation and take decision to solve.
METHODS OF EVALUATION FOR THE TOPIC COVERED 
To know the understanding level of the topic taught one among the fallowing method can be adopted
v Through the interaction in the class room situation.
v Through oral test.
v Through class test
v Through assignments
v  Quiz question.
v Through project
v Home work,
 STATUS OF THE COMPLETION OF THE PREVIOUS PORTION

·       Completed
·       Not completed

 SUB TEACHER                     VICE- PRINCIPAL                     PRINCIPAL.         



10/7/14

TRIGONOMETRY X CBSE

Algebra class x cbse mathematics

NAVODAYA VIDYALAYA SAMITI,


CLASS-X PRACTICE PAPER SA-1 (Algebra) SUB:-MATHEMATICS

FULL MARKS-90 TIME-3 Hours

SECTION-A [1×4=4]

In the given figure the graph of polynomial p(x) is shown. The number of zeroes of p(x) is ____.











If the two zeroes of a quadratic polynomial 7x² – 15x – k are reciprocals of

each other, then find the value of k.

If the lines given by 3x + 2ky = 2 and 2x + 5y +1 = 0 are parallel, then find the value of k.

If a pair of equations x + y = √2 and x sin θ + y cos θ = 1 are consistent and dependent, then find the value of θ.

SECTION-B [2×6=12]

Check whether x² + 3x + 1 is a factor of 3x4 + 5x3 – 7x2 + 2x + 2.

If α and β are the zeroes of the quadratic polynomial p(x) = x² – (k – 6)x + (2k + 1). Find the value of k, if α + β = αβ.

If 2 and – 3 are the zeroes of the quadratic polynomial x² + (a + 1)x + b, then find the values of a and b.

Solve: 99x + 101y = 499, 101x + 99y = 501

For what value of k, the following system of linear equations has no solution?

3x + y =1; (2k ‒ 1)x + (k ‒ 1)y = 2k + 1

If 2x + y = 23 and 4x ‒ y = 19, find the value of 5y ‒ 2x.



SECTION-C [3×10=30]

If one of the zero of the quadratic polynomial 2x² + px + 4 is 2, find the other zero. Also find the value of p.

Find the zeroes of 3√2 x² + 13 x + 6√2 and verify the relationship between the zeroes and coefficients of the polynomial.

On dividing x3 ‒ 3x² + x + 2 by a polynomial g(x), the quotient and the remainder were x ‒ 2 and

‒ 2x + 4 respectively. Find g(x).

Form a quadratic polynomial whose one of the zeroes is (‒ 15) and product of the zeroes is (‒855).

Find the values of a and b for which the system of linear equations has infinite number of solutions:

(a + b)x ‒ 2by = 5a + 2b + 1; 3x ‒ y = 14

Solve the following system of linear equations graphically and find the points where these lines intersect the Y-axis: x ‒ 2y = 2; 3x + 5y = 17.

Solve for x and y: 3/y + 4/x = 10/xy ; 2/y ‒ 2/x = 2/xy





Nine times a two-digit number is the same as twice the number obtained by interchanging the digits of the number. If one digit of the number exceeds the other digit by 7, find the number.

Solve for x and y:`xy/(x+y) = 6/5 ; xy/(y-x) = 6, where x + y ≠ 0 and y ‒ x ≠ 0.

Four years ago, a father was six times as old as his son. Ten years later, the father will be two and a half times as old as his son. Determine the present ages of the father and the son.



SECTION-D [4×11=44]



Find all the zeroes of the polynomial 2x4 + 7x3 ‒ 19x² ‒ 14x + 30, if two of its zeroes are √2 and ‒√2.

Find all the zeroes of the polynomial p(x) = 2x3 + 3x² ‒ 11x ‒ 6, if one of its zeroes is ‒3.

If the polynomial x4 ‒ 6x3 + 16x² ‒ 25x + 10 is divided by another polynomial x² ‒ 2x + k, the remainder comes out to be x + a. Find the values of k and a.

Given that the zeroes of the cubic polynomial x3 ‒ 6x² + 3x + 10 are of the form a, a+b, a+2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

If 1 and ‒1 are the zeroes of the polynomial Lx4 + Mx3 + Nx² + Rx + P, show that L + N + P = M + R =0.

A boat goes 64 km upstream and 72 km downstream in 14 hours. It goes 80 km upstream and

96 km downstream in 18 hours. Find the speed of the boat in still water and the speed of the steam.

5 books and 7 pens together cost Rs 285. 4 books and 4 pens together cost Rs220. Mona purchased 3 books and 5 pens and calculated total cost to be Rs 195. He paid Rs 195 to the shopkeeper. Shopkeeper rechecked and returned some money to Mona.

How much money did shopkeeper return to Mona?

What value is depicted by the shopkeeper?

Determine graphically, the coordinates of the vertices of a triangle whose sides are graphs of the equations 2x – 3y + 6 = 0; 2x + 3y – 18 = 0 and y – 2 = 0. Also find the area of this triangle.

Solve for x and y: (a – b)x + (a + b)y = a² − 2ab – b²

(a + b)(x + y) = a² + b²

Solve the following system of equations by using the method of cross-multiplication.

2x + y = 35 and 3x + 4y = 65

Solve for x and y: 6x + 3y = 8x + 9y – 5 = 10x + 12y – 8

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8/11/14

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PHONE LIST OF NILAGIRI JUNIORS

  JAWAHAR NAVODAY VIDYALAYA  NILAGIRI B HOUSE  HOTHPET (KARANATAKA)          
  LIST OF INMATES WITH MOBILE NUMBER          
SL NO  CLASS NAME OF THE INMATES  NATIVE PLACE  GUARDIAN NAME MOBILE NO REMARKS
1 VI AMAN GULBARGA ASHOKA 961152573  
2 VI AMARESH DEVAPUR      
3 VI CHANDRASHEKAR GIDDALMARI TANDA GOPANNA 9901110126  
4 VI MAHESH JAPANAYAK TANDA RAJU RATHOD 9972387272  
5 VI NINGAREDDY PARASANALLI GIRANAGOUDA 9845847681  
6 VI PRAJWAL RUKMAPUR SHANKARAPPA 9880561774  
7 VI RAHUL GULBARGA BHIMARAYA 9972782744  
8 VI SASIKANTH DEVAR GONAL HANAMANTARAYA 9902368962  
9 VI UDAY CHANDARKI HULAGAPPA 9845452714  
10 VI VEERESH KEMBHAVI TIPPANNA 9741739353  
11 VI VIKAS KODEKAL MALLIKARJUN 9900571946  
12 VII LAKSHMANA NAYAK YADIYAPUR RANGAPPA NAYAK 9902565409  
13 VII MAHANTESH MARNAL NINGANNA 9900469872  
14 VII MANJUNATH SHAHAPUR VENKOBA PATIL 9880170949  
15 VII MOUNESH TALLALLI MALLANNA 9972445110  
16 VII SABAYYA KANCHAGARA HALLI TIMMAYYA 9844839083  
17 VII SAKHIB HUSSAIN GURUMITKAL ZAKIR HUSSAIN 9945569182  
18 VII PRAJWALA SHAHAPUR MALLAPPA 9901688015  
19 VII SHANKAREDDY GURMITKAL PRATAPREDDY 9844457854  
20 VII VISHAL YADGIR SANGANAGOUDA 9972581362  
21 VII VENKATESH SHORAPUR HANAMANTH 9611987959  
22 VII VIKAS SHAHAPUR DUNDAPPA 9902717089  
23 VII TUKARAM DORANAHALLI TANDA KHANDAPPA 9741803182  
24 VII SURESH NAYAK KEMBHAVI TIPPANNA 9741739353  
25 VII SANTOSH GANGUNAIK TANDA JAIRAM 9880171488  
26 VIII AKASH S.C KOLIHALTANDA SANGAPPA 9902612306  
27 VIII ANIL N.R YARAKIHAL TANDA NARAYAN 9632419004  
28 VIII ARUN C R KIRADAHALLI TANDA  CHANDRASHEKAR 9900446929  
29 VIII ARUN G T SHORAPUR GOVINDA 9900634738  
30 VIII BHIMASHANKAR ANAKASUGUR HANAMANTAH 8971987950  
31 VIII BHODISATWA YADGIR BABURAO 9449625158  
32 VIII MADHUKUMAR SEDAM SUBHAS 9480647615  
33 VIII PAVANA.G.C GOGI TANDA GANESH 9008607059  
34 VIII RAGHVENDRA SHAHAPUR CHANDRAREDY 9448449726  
35 VIII SAGAR.G SHAHAPUR JAGADISH 9481636575  
36 VIII SHARANABASAV BALABATTI BHIMANNA 9901099919  
37 VIII TIMMANNA BAILAKUNTI KASHAPPA 8150925541  

8/10/14

FORMATIVE ASSEMENT FIRST 2014

JAWAHAR NAVODAYA VIDYALAYA YADGIRI


RESULT : FA-1 (JULY-2014)

Class : 10th A&B Class Teacher : GSRM/TG

Sl.No. Reg.No. House Name of Students Eng Hin Kan Maths Sci S.S. Total Per GRADE Rank

Maximum Marks 80 80 80 80 80 80 480

1 1001 A Abhijeet T 79 77 73 77 75 80 461 96.04 A1 1

2 1002 A Akash Kumar B Y 76 74 74 77 76 78 455 94.79 A1 3

3 1003 U Ambresh S P 68 72 70 50 47 63 370 77.08 B1 42

4 1004 N Anita S R 66 67 67 69 52 70 391 81.46 A2 24

5 1005 A Basvaraj M H 66 65 64 76 49 61 381 79.38 B1 31

6 1006 S Bhagyashree R M 73 76 72 74 59 80 434 90.42 A2 7

7 1007 U Chetankumar S G 50 52 58 37 32 48 277 57.71 C1 81

8 1008 U D K Siddhartkumar 72 66 74 78 73 74 437 91.04 A1 5

9 1009 A Hulagamma P A 51 44 49 35 27 47 253 52.71 C1 82

10 1010 U Kashinathgouda R P 65 72 69 57 52 61 376 78.33 B1 37

11 1011 A Krishnasagar B P 71 68 68 76 61 73 417 86.88 A2 14

12 1012 U M.Noorunnisa Begum 76 75 71 68 66 80 436 90.83 A2 6

13 1013 U Mamata G J 68 75 72 67 63 76 421 87.71 A2 12

14 1014 S Mouneshwar K B 66 63 62 68 50 58 367 76.46 B1 45

15 1015 N Nagaraj R M 71 71 67 74 74 70 427 88.96 A2 9

16 1016 N Nikhita H.S 67 73 57 66 41 49 353 73.54 B1 52

17 1017 N Pavankumar C.J 52 60 64 54 34 49 313 65.21 B2 67

18 1018 A Pavankumar K.J 65 66 68 58 29 52 338 70.42 B2 59

19 1019 U Pooja S B 65 74 74 73 56 66 408 85.00 A2 18

20 1020 A Prajwal R D 69 68 65 73 47 54 376 78.33 B1 37

21 1021 S Praveenkumar S S 65 70 67 69 36 55 362 75.42 B1 49

22 1022 N Raghavendra R M 46 57 63 62 32 53 313 65.21 B2 67

23 1023 A Ramangouda V P 60 70 63 60 25 48 326 67.92 B2 63

24 1024 U Sachinkumar M M 65 77 68 61 34 60 365 76.04 B1 47

25 1025 N Sangamesh B M 60 66 66 66 40 50 348 72.50 B1 54

26 1026 N Sanjay G P 70 53 70 74 56 75 398 82.92 A2 22

27 1027 S Santosh D P 44 54 67 51 22 48 286 59.58 C1 77

28 1028 A Sarfaraj Nawaaz 53 66 63 43 20 45 290 60.42 C1 76

29 1029 S Shweta C.I 67 70 73 75 65 74 424 88.33 A2 10

30 1030 A Spoorti C D 65 70 66 68 58 59 386 80.42 B1 30

31 1031 U Shrinivas M C 72 63 67 66 57 51 376 78.33 B1 37

32 1032 U Sudha R B 65 73 73 70 47 76 404 84.17 A2 19

33 1033 U Sudha S.K 62 73 64 75 71 69 414 86.25 A2 15

34 1034 N Sushma N P 77 75 72 67 74 80 445 92.71 A1 4

35 1035 N Suvarna D G 54 67 65 53 24 49 312 65.00 B2 70

36 1036 N Vaibhav 61 61 52 60 36 48 318 66.25 B2 65

37 1037 N Vedashree V T 60 72 67 57 36 56 348 72.50 B1 54

38 1038 N Veerannagouda C B 67 74 65 64 36 62 368 76.67 B1 44

39 1039 S Vijayakumar D S 66 66 70 70 33 66 371 77.29 B1 41

40 1040 S Vikram C R 73 76 69 67 68 76 429 89.38 A2 8

41 1041 U Vishwanath S R 65 69 72 68 48 66 388 80.83 B1 26

42 1051 U Akash T R 52 56 57 58 41 49 313 65.21 B2 67

43 1052 A Akash T Rathod 63 73 69 74 70 75 424 88.33 A2 10

44 1053 N Basamma N B 68 75 70 77 56 49 395 82.29 A2 23

45 1054 N Bhemasen M P 61 64 69 58 34 50 336 70.00 B2 60

46 1055 A Deepa S B 57 58 62 48 20 48 293 61.04 B2 75

47 1056 S Godavari N R 61 61 56 46 27 49 300 62.50 B2 74

48 1057 N Kirankumar V A 66 62 71 71 52 58 380 79.17 B1 33

49 1058 A Krishnakant S K 60 71 66 61 57 63 378 78.75 B1 35

50 1059 A Krishnakumar S M 67 61 66 68 44 50 356 74.17 B1 51

51 1060 N Krutika S P 78 78 72 76 75 80 459 95.63 A1 2

52 1061 A Mahesh S A 51 59 67 56 28 48 309 64.38 B2 71

53 1062 U Mallappa B S 63 68 64 63 42 52 352 73.33 B1 53

54 1063 A Mamata BB 56 54 56 48 20 49 283 58.96 C1 78

55 1064 S Md. Harshad C M 63 54 57 70 63 52 359 74.79 B1 50

56 1065 S Omkar B M 70 63 61 74 67 78 413 86.04 A2 16

57 1066 S PavanKumar N A 63 72 68 53 36 47 339 70.63 B2 58

58 1067 A Pooja B P 68 67 72 77 61 67 412 85.83 A2 17

59 1068 A Poornima S M 54 71 62 52 20 49 308 64.17 B2 72

60 1069 A Prabhudev M K 70 67 65 64 50 47 363 75.63 B1 48

61 1070 S Priyanka N M 68 67 74 76 67 66 418 87.08 A2 13

62 1071 A Rajeshwari L N 41 47 62 49 33 49 281 58.54 C1 79

63 1072 U Rashmi V K 64 74 71 61 39 69 378 78.75 B1 35

64 1073 U Sandesh D G 64 65 66 62 34 56 347 72.29 B1 56

65 1074 S Santosh A R 68 68 67 60 51 55 369 76.88 B1 43

66 1075 N Santosh S R 66 64 68 61 37 50 346 72.08 B1 57

67 1076 S Satishreddy P K 67 47 61 50 34 49 308 64.17 B2 72

68 1077 S Sharanappa B S 66 61 68 70 49 66 380 79.17 B1 33

69 1078 N Shivanand L C 68 74 72 63 51 71 399 83.13 A2 21

70 1079 N Shivanand R B 66 60 62 54 29 60 331 68.96 B2 61

71 1080 S Shivaputra S N 57 40 61 33 33 55 279 58.13 C1 80

72 1081 N Shivashekhar S K 62 62 61 52 33 51 321 66.88 B2 64

73 1082 U Shreelata S P 65 67 73 76 45 62 388 80.83 B1 26

74 1083 S Soniya T K 64 71 71 56 51 59 372 77.50 B1 40

75 1084 A Sushma N D 71 67 72 62 54 62 388 80.83 B1 26

76 1085 N Varsha G H 64 60 73 55 27 50 329 68.54 B2 62

77 1086 A Venkatesh N B 63 55 61 71 59 72 381 79.38 B1 31

78 1087 S Vijayalakshmi B B 76 69 72 56 47 80 400 83.33 A2 20

79 1088 A Vilas S K 59 68 65 60 48 67 367 76.46 B1 45

80 1089 S Vinodkumar S G 65 56 60 47 41 48 317 66.04 B2 66

81 1090 U Vishal A D 74 59 58 69 53 74 387 80.63 B1 29

82 1091 U Yshodha H K 68 73 66 61 49 73 390 81.25 A2 25

Total 5270 5388 5434 5151 3808 4959 Classwise 6252.08 CONGRATULATIONS

SUB AVG: 80.34 82.13 82.84 78.52 58.05 75.59 76.24

Below 33 (26) 0 0 0 0 7 0 0

34-59 (27-47) 3 4 0 6 35 4 5

60-74 (48-59) 12 12 9 21 23 38 26

75-89 (60-71) 56 43 55 36 11 21 43

90 & Above (72) 11 23 18 19 6 19 8

No.of Candidates Appeared 82 82 82 82 82 82 82

PASS % 100.00 100.00 100.00 100.00 90.91 100.00 100.00