182120091-Passport-G5-Teacher Companion Book-Maths-Part1-A

'UDZWKHQHWVRIWKHIROORZLQJ'ÀJXUHV a) b) Solution: Page 98 1.2 I Apply Short Answer Questions 17) Draw the top and front views of Solution: Front view Top view WB: Shapes 11

18) Colour the given cube as follows: Side face: Blue Top face: Yellow Long Answer Questions  7LFNWKHWRSYLHZDQGFURVVWKHVLGHYLHZRIWKHJLYHQREMHFWVZKRVHIURQWYLHZLVJLYHQ Front view Top or side view Page 99 9U U9 U9 12

Front view Top or side view 9 U 20) Draw the top and side views of the solid given. Page 100 Solution: Top view Front view Side view WB: Shapes 13

1.2 I Explore (H.O.T.S.) Short Answer Question 21) Circle the correct solid based on its given views. Front view Top view Side view Side view a) Page 101 (A) (B) (C) Front view Top view b) (A) (B) (C) 14

Long Answer Question 22) Draw the front, top and side views of the given solids. a) b) Solution: Front view Top view Side view a) Page 102 b) WB: Shapes 15

Teacher Reference: Textbook Chapter 2: Patterns Concept 2.1: Patterns in Rotation Train My Brain Rotate and draw the following alphabets by 1 , 1 and 1 turns. Also, draw the images. 23 4 Shape 1 1 1 turn turn turn 2 3 4 Clockwise Page 103 Anticlockwise Clockwise Anticlockwise Clockwise Anticlockwise TB: Patterns

Teacher Reference – Textbook Drill Time 11 1 1) Rotate the following figures by , and turns and draw how they look after the turns. 23 4 Figure 1 1 1 turn turn turn 2 3 4 Page 104 2) Complete these patterns. a) b) TB: Patterns

Teacher Reference-Textbook c) d) 3) Find the missing figure to complete the following patterns. Page 105 Concept 2.2: Patterns in Numbers Train My Brain Complete the following patterns. a) 2, 6, 18, 54, 162, 486, 1458 55 5 b) 20, 10, 5, 2.5 or , 1.25 or , 0.625 or 24 8 (*Note: Consider this as a H.O.T.S. level question) TB: Patterns

Teacher Reference – Textbook c) 64, 60, 56, 52, 48, 44 Drill Time 4) Complete the following patterns. a) 2, 6, 10, 14, 18 b) 1, 12, 23, 34, 45 c) 17, 15, 13, 11, 9 d) 50, 41, 32, 23, 14 5) Complete the patterns given below. a) 0, 2, 6, 12, 20, 30, 42 b) 2, 4, 8, 16, 32, 64 c) 22 × 22 = 484 d) (9 – 1) ÷ 8 = 1 202 × 202 = 40804 (98 – 2) ÷ 8 = 12 2002 × 2002 = 4008004 (987 – 3) ÷ 8 = 123 20002 × 20002 = 400080004 (9876 – 4) ÷ 8 = 1234 Page 106 6) Word problems a) Afzal has ` 1000 with him. He spends some amount while travelling to school everyday. At the end of Day 1, he has ` 965. Similarly, at the end of Day 2, Day 3 and Day 4 he found that he has ` 930, ` 895 and ` 860 respectively. How much money will Afzal have at the end of Day 5? [` 825] b) The jasmine creeper in Saritha’s garden had 5 flowers on Monday, 10 flowers on Tuesday, 20 flowers on Wednesday and so on. How many flowers would bloom on the jasmine creeper on Sunday? [320 flowers] TB: Patterns

Chapter Patterns 2 Concept 2.1: Patterns in Rotation 2.1 I Recall Multiple Choice Questions 1) Which of the following letters is symmetrical? [B] [B] (A) F (B) D (C) R (D) Q [A] (D) F 2) The letter _____ is symmetrical among the given letters. (D) 0 [B] (A) S (B) C (C) P 3) The letter H has ________ line(s) of symmetry. Page 107 (A) 2 (B) 3 (C) 1 2.1 I Remember and Understand Multiple Choice Questions 1 4) The anticlockwise turn of the given shape is ____________. 4 (A) (B) (C) (D) 16

5) The shape that looks the same after 1 turn and 1 turn is _________. [A ] 42 (A) (B) (C) (D) 6) The next shape in the given pattern is __________. [C ] (A) (B) (C) ? (D) Page 108 Fill in the Blanks 7) The line that divides a shape into symmetrical halves is called the _a__x_is__o_f_s_y_m__m__e_t_ry____ . 8) Turning a shape in the clockwise direction is called __r_o_t_a_ti_o_n_________ of the shape. 9) Letters such as F, Q, R and S are __a_s_y_m__m__e__tr_ic__a_l______ . Very Short Answer Questions 10) Identify the turn that the shape takes in the following pattern. Draw the next shape. Solution: 1 turn, anticlockwise. The next shape in the The given shape takes a 4 pattern is as follows: WB: Patterns 17

1 11) Draw how the given image looks when it is turned through turn. 2 Solution: 1 12) Draw how the given letter looks when it is turned through of a turn in the clockwise 3 direction. F Solution:F Page 109 Short Answer Questions 11 13) Show how the given shape looks when it is turned through turn and turn. 24 Solution: 1 turn : 2 1 turn : 4 18

'UDZWKHQH[WWZRVKDSHVIRUWKHIROORZLQJÀJXUHZKHQLWLVWXUQHGWKURXJK 1 turn in the clockwise direction. 4 Solution: 1 First turn : 4 1 Second turn : 4 Page 110 Long Answer Questions 1 15) Take the required number of WXUQVIRUWKHJLYHQÀJXUHVRWKDW\\RXJHWEDFNLWV 4 original position. Draw the shapes for each turn. Solution: WB: Patterns 19

11 16) Draw the and turQVRIWKHJLYHQÀJXUHLQWKHFORFNZLVHDQGDQWLFORFNZLVH 43 GLUHFWLRQVRIWKHJLYHQÀJXre. Solution: 1 1 Direction of turn turn turn Clockwise 4 3 Anticlockwise Page 111 2.1 I Apply Short Answer Questions 1 17) Draw a shape using a rectangle and triangle. Repeat twice by turning through turn 4 clockwise each time. Solution: Student’s response 20

1 18) Draw the shapes after a turn of the given shapes. 2 a) b) Solution: a) b) Page 112 Long Answer Questions 19) Draw any two rotational patterns using and . Solution: a) Repeating alternately. b) Rotating the shapes by half turn alternately. WB: Patterns 21

20) Complete the table to show how the shape will look after the given number of turns in the anticlockwise direction. Shape 1 1 1 turn turn 3 turn 4 2 Page 113 2.1 c) d) I Explore (H.O.T.S.) Short Answer Question  ,GHQWLI\\WKHÀJXUHWKDWFRPSOHWHVWKHJLYHQSDWWHUQ a) b) ? 22

Solution: d) Long Answer Question S 22) Circle the shape that breaks the pattern. A a) S Sb) Ac) S S S AAA A Page 114 d) Concept 2.2: Patterns in Numbers 2.2 I Recall Multiple Choice Questions 1) The number that is next in the series 1, 3, 5, 7, 9... is ____________. [ B] (A) 12 (B) 11 (C) 15 (D) 13 WB: Patterns 23

2) The number that is next in the series 36, 34, 30, 28, 24... is __________. [ B] [ B] (A) 20 (B) 22 (C)18 (D)17 3) The number that is next in the series 5, 10, 7, 12, 9... is __________. (A) 15 (B) 14 (C) 16 (D) 13 2.2 I Remember and Understand Multiple Choice Questions 4) The missing term in the given pattern is 95, 88, 81, 74, 67, ?, 53, 46 is _________. [B ] [ C] (A) 66 (B) 60 (C) 64 (D) 58 5) The next term in the pattern 4, 7, 10, 13… is ___________. (A) 24 (B) 20 (C) *32 (D) 28 (*Note: Replace the number 32 in Option C by 16.) 6) The missing term in the pattern 3, 5, 8, 12, ? is ____________. [ D] Page 115 (A)18 (B) 24 (C) 16 (D) 17 Fill in the Blanks 7) 1, 12, 123, 1234, ___1_2_3_4_5_____ 8) 20, 19, 17, 14, 10, _____5______ 9) 13, 26, 39, _____5_2_______ Very Short Answer Questions 10) Write the numbers that follow the pattern of perfect squares upto the number 50. Solution: . . .1.,.4.,.9. ,. 1. .6., .2.5.,.3.6.,.4. 9. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Write the pattern from 25 to 100 with each of its terms increasing by 25. Solution: . .2.5.,.5. 0. ., .7.5.,.1.0.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Complete the pattern. 27, 25, 23, ____2_1_,___, ____1_9_,___, ____1_7____. Short Answer Questions 13) Observe the pattern and write the next two terms. 24

Page 116 2+1=3 3+2=5 5+3=8 Solution: .8. .+. .4.=. .1.2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1. 2. .+. .5. =. .1.7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14) Observe the pattern and write the next two terms. 3+3=6 7 + 7 = 14 15 + 15 = 30 Solution: .3. 1. .+. .3.1. .=.6. 2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .6. 3. .+. .6.3. .=.1. 2. 6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Long Answer Questions 15) Write down the triangular numbers from 1 to 10 and show them using a diagram. Solution: The triangular numbers from 1 to 10 are 1, 3, 6 and 10 . 1 1+2=3 1+2+3=6 1 + 2 + 3 + 4 = 10  5HSUHVHQWWKHÀUVWVL[VTXDUHQXPEHUV Solution: 2u2=4 3u3=9 4 u 4 = 16 5 u 5 = 25 6 u 6 = 36 WB: Patterns 25

2.2 I Apply Short Answer Questions 17) Complete the following patterns. a) 5, 55, 555, 5555, 55555, ___5_5_5_5_5_5___, __5_5_5__5_5_5_5__, _5_5__5_5_5_5_5_5__. b) 1, 11, 111, 1111, __1_1_1_1_1_____, ___1_1_1_1_1_1___, __1_1_1__1_1_1_1__. 18) The table shows the amount of money saved by Srujan every month. ` 56 ` 112 ` 224 ` 448 ` 896 January February March April May Page 117 If he continues to save in the same manner, what would his savings be in the month of August? Solution: . .T.h.e. .p.a. t.t.e.r.n. o. .f.S.ru. .ja.n. .’s. .sa. .v.in.g. .i.s.`. .5.6., .`. 1. 1. .2., .`. 2. 2. .4., .`.4. 4. .8., .`.8. 9. 6. ., .…. . . . . . . . . . . . . . . . . . . . . .W. .e. .o.b.s.e.r.v.e. .th. .a.t.e. v. .e.ry. .m. .o.n. t.h. .h.is. .sa. .v.in. g. .s.i.s .d.o. u. .b.le. .t.h.a. n. .t.h.a. t. .o.f.t.h.e. .p.r.e.v.io. .u.s.m. .o.n. .th. .. . .`. .1.1.2.=. .`. .5.6. ×. .2.;.`. .2.2.4. .=. `. .1.1.2. .×. .2.a. .n.d. .so. .o. .n... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .S.o.,.h. i.s.s.a.v.i.n.g.s. .in. .J.u.n.e. .=. .`.8.9. 6. .×. .2. =. .`. .1.7.9.2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .In. .J.u.l.y., .it. i.s.`. .1.7.9.2. .×.2. .=. .`.3. 5. 8. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .In. .A. .u.g.u.s.t., .it. i.s.`. .3.5.8.4. .×.2. .=. .`.7.1. 6. .8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h.e.r.e.f.o.r.e.,.S.r.u.ja. n. .’s. .sa. .v.in. g. .s.in. .t.h.e. .m. .o.n.t.h. .o.f.A. .u.g.u.s.t.i.s.`. .7.1.6.8... . . . . . . . . . . . . . . . . . . . . . . . Long Answer Questions 19) Observe the pattern and write the next two terms. a) 1, (1 + 2), (1 + 2 + 3), (1 + 2 + 3 + 4)... b) (1 + 2) × 3, (2 + 3) × 4, (3 + 4) × 5... Solution: . .a.). .Th. .e. n. .e.x.t.t.w.o. .t.e.r.m. .s.in. .1.,.(.1.+. .2.)., .(1. .+. .2.+. .3.).,.(.1.+. .2. .+. 3. .+. .4.)., .…. .a. .re. . . . . . . . . . . . . . . . . . . . . . . .(1. .+. .2.+. .3. .+. 4. .+. .5.).a. .n.d. .(1. .+. .2.+. .3. .+. 4. .+. .5. +. .6.)... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b.). .Th. .e. n. .e.x.t.t.w.o. .t.e.r.m. .s.a.r.e. .(4. .+. .5.).×. .6. (.5. .+. .6.).×. .7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. 26

Page 118 ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) Observe the pattern and write the next two terms: a) 9 × 9 + 7 = 88 98 × 9 + 6 = 888 987 × 9 + 5 = 8888 b) 2 + 4 + 6 + 8 = 20 12 + 14 + 16 + 18 = 60 22 + 24 + 26 + 28 = 100 Solution: .a. ). .T.h.e. .n.e.x.t.t.w. .o. .te. r.m. .s.a. .re. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9.8.7.6. .×. .9.+. .4. .=.8. 8. .8.8.8. a. .n.d. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9.8.7.6.5. .×. .9.+. .3. .=. 8. .8.8.8.8.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b. ). .T.h.e. .n.e.x.t.t.w. .o. t.e. r.m. .s.a. .re. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3.2. .+. 3. 4. .+. .3.6. .+.3. 8. .=. .1.4.0. .a.n.d. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4.2. .+. 4. 4. .+. .4.6. .+.4. 8. .=. .1.8.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 I Explore (H.O.T.S.) Short Answer Question 21) Find the product of 5 and 4 using a pattern. Solution: . W. . e. .k.n. o. .w. .t.h.a.t.5. .×. .4.=. .2.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T.h. .e.s.u.m. . .o.f.t.h.e. .fo. .u.r.e.v. e. .n. n. .u.m. .b.e.r.s.=. .2. .+.4. .+. .6.+. .8. .=. 2. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . S. o. .,.t.h.e. .p.a.t.t.e.rn. .o. f. .th. e. .p. .ro. .d.u.c.t. .o.f.5. .a.n.d. .4. .is. 2. .+. .4. +. .6. .+. .8.. . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. WB: Patterns 27

Long Answer Question 22) Find the products using patterns. a) 5 ×18 b) 5 × 22 Solution: . a. .).5. .×. 1. .8.=. .2. .+.4. .+. .6.+. .8. .+. 1. 0. .+. .1.2. .+.1. 4. .+. .1.6. +. .1.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .... .....V.X.P. ..R.I.W.K.H..À.UV.W.Q. .LQ.H. .H.Y.H. .Q.Q. .X.P. .E.H.U.V.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . b. .).5. .×. 2. .2.=. .2. .+.4. .+. .6.+. .8. .+. 1. 0. .+. .1.2. .+.1. 4. .+. .1.6. +. .1.8. .+. .2.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .... ......V.X. P. ..R.I.W.K.H. .À.UV.W.W.H. Q. .H. Y. .H.Q..Q.X.P. .E.H. U.V.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. Page 119 28

Teacher Reference: Textbook Chapter 3: Large Numbers Concept 3.1: Indian and International Systems of Numeration Train My Brain Separate the periods using commas and write the names in the Indian and International systems. Page 120 Numbers Indian system International system a) 45679034 4,56,79,034 45,679,034 b) 23497801 c) 9999567 four crore fifty-six lakh forty-five million six hundred and seventy-nine thousand seventy-nine thousand and thirty-four and thirty-four 23,497,801 2,34,97,801 twenty-three million four hundred two crore thirty-four lakh and ninety-seven thousand eight ninety-seven thousand eight hundred and one hundred and one 9,999,567 99,99,567 nine million nine hundred and ninety-nine lakh ninety-nine ninety-nine thousand five thousand five hundred hundred and sixty-seven and sixty-seven Drill Time 1) Write the successor and the predecessor of the following numbers. Numbers Successor Predecessor a) 62591 62592 62590 b) 59104 59105 59103 c) 18503 18504 18502 d) 70001 70002 70000 e) 28501 28502 28500 TB: Large Numbers

Teacher Reference – Textbook 2) Separate the periods with commas and write the number names of the following in the Indian and International systems of numeration. Page 121 Number Indian system International system a) 872492853 87,24,92,853 872,492,853 eighty-seven crore twenty-four eight hundred and seventy-two b) 658392759 lakh ninety-two thousand eight million four hundred and ninety-two hundred and fifty-three thousand eight hundred and fifty- c) 124654368 three d) 765401954 65,83,92,759 658,392,759 e) 378954726 sixty-five crore eighty-three lakh six hundred and fifty-eight million ninety-two thousand seven three hundred and ninety-two hundred and fifty-nine thousand seven hundred and fifty- nine 12,46,54,368 124,654,368 twelve crore forty-six lakh fifty- one hundred and twenty-four million four thousand three hundred six hundred and fifty-four thousand and sixty-eight three hundred and sixty-eight 76,54,01,954 765,401,954 seventy-six crore fifty-four lakh seven hundred and sixty-five million one thousand nine hundred and four hundred and one thousand nine fifty-four hundred and fifty-four 37,89,54,726 378,954,726 thirty-seven crores eighty-nine three hundred and seventy-eight lakh fifty-four thousand seven million nine hundred and fifty-four hundred and twenty-six thousand seven hundred and twenty-six 3) Fill in the blanks with >, < or =. a) 4,34,12,456 < 4,34,21,456 b) 2,31,98,896 < 6,87,98,541 c) 7,97,43,111 > 6,12,41,845 d) 1,67,91,941 < 1,76,19,149 4) Arrange the numbers in the ascending and descending orders. Numbers Ascending order Descending order a) 85714781, 57294769, 18372657 18372657, 57294769, 85714781, 57294769, b) 17485729, 91845726, 75638462 85714781 18372657 17485729, 75638462, 91845726, 75638462, c) 38593010, 75639205, 75927592 91845726 17485729 38593010, 75639205, 75927592, 75639205, d) 10101010, 11010101, 10010101 75927592 38593010 10010101, 10101010, 11010101, 10101010, 11010101 10010101 TB: Large Numbers

Chapter Large Numbers 3 Concept 3.1: Indian and International Systems of Numeration 3.1 I Recall Multiple Choice Questions 1) The number name of 55,582 in the Indian system is __________. [A]  $ ÀIW\\ÀYHWKRXVDQGÀYHKXQGUHGDQGHLJKW\\WZR [A] >B@  % ÀIW\\IRXUWKRXVDQGÀYHKXQGUHGDQGHLJKW\\WZR  & ÀIW\\ÀYHWKRXVDQGÀYHKXQGUHGDQGÀIW\\WZR Page 122  ' ÀIW\\ÀYHWKRXVDQGÀYHKXQGUHGDQGHLJKW\\WKUHH 2) The successor of 90000 is _________. (A) 90001 (B) 90002 (C) 89999 (D) 89998  7KHGLJLWLQWKHKXQGUHGVSODFHRILVBBBBBBBBB  $   %   &   ' 3.1 I Remember and Understand Multiple Choice Questions  ODNK BBBBBBBBBBBBB >B@ >D@ (A) 10 hundreds (B) 100 thousands (C) 10 ones (D) 10 hundreds >C@ (D) 999999  7KHJUHDWHVWGLJLWQXPEHULVBBBBBBBBBB ' (A) 99999 (B) 100000 (C) 9999999  7KHSUHGHFHVVRURILVBBBBBBBBBB  $  %  &  29

Page 123 Fill in the Blanks  7KHQXPHUDOIRURQHODNKWZHQW\\ÀYHWKRXVDQGRQHKXQGUHGDQGWZHQW\\WKUHHLV ____1_2_5_1__2_3_________. 8) The number name of 25,30,223 is __W_Z_H__Q_W\\__À_Y__H_O_D_N_K__W_K_LU_W_\\_W_K_R_X__VD__Q_G__WZ__R__K_X_Q__G_UH__G__D_Q_G____ __tw__e_n_t_y_-_t_h_re__e______________________________________________________________________.  ,QWKH,QWHUQDWLRQDOV\\VWHPRIQXPHUDWLRQDOOWKHSHULRGVKDYHBBtBhBrBeBeBBBSODFHVHDFK Very Short Answer Questions  +RZPDQ\\ODNKVHTXDOPLOOLRQ\" Solution: . ..P. .LO.OL.R.Q.. .. . .O.D.N.K.V. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  :ULWHWKHQXPHUDOIRURQHFURUHVL[ODNKIRUW\\WKRXVDQGVL[KXQGUHGDQGÀIW\\RQH Solution: . ... . ....... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  :ULWHWKHSUHGHFHVVRUDQGVXFFHVVRURI Solution: . .3.U.H.G.H. F. .H.V.V.R.U. .........6.X. .F.F.H.V.V.R.U.. ..... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions  ,QVHSDUDWHWKHSHULRGVXVLQJFRPPDV:ULWHWKHQXPEHUQDPHVLQWKH,QGLDQ DQGWKH,QWHUQDWLRQDOV\\VWHPVRIQXPHUDWLRQ Solution: . . . . . . . . . . . . . . . . . . . . . . .C. o. .m. .m.a. .s. . . . . . . . . . . . . . . . . .N. .u.m. .b.e. r. .N.a.m. .e. . . . . . . . . . . . . . . . . . . . . . .In. d. .ia. .n.s.y.s.t.e.m. . . . . . .. . ........ . . . .7.K.LU.W\\. .Q.L.Q.H..OD. N. K. .H. L.J.K.W..WK. R. .X.V.D.Q.G. .V.L[..K.X.Q.G. .UH. .G.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .D.Q.G. .W.Z. H. .Q.W.\\.W.K.U.H.H. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .,.Q.W.H.UQ. .D.W.LR.Q. .D.O . . . . . .. .. ....... . . . .7.K.UH. .H.P. .L.OOL.R.Q..Q.LQ. .H.K. .X.Q.G. U.H.G. .D. .Q.G..H.LJ. .K.W. . . . . . . . . . . . . . . . . .s.y.s.te. .m. . . . . . . . . . . . . . . . . . . . . . . .WK. .R.X.V.D.Q.G. .V.L[..K.X.Q. G. .UH. .G..D.Q.G. .W.Z.H. .Q.W\\. .W.K.U.H.H. . . . . . . . . .................................................................................  ,QVHSDUDWHWKHSHULRGVXVLQJFRPPDV:ULWHWKHQXPEHUQDPHVLQWKH,QGLDQ DQG,QWHUQDWLRQDOV\\VWHPVRIQXPHUDWLRQ Solution: . . . .N.u. .m.b. .e.r. . . . . . . . . . . .I.n.d.i.a.n. .s.y.s.te. m. . . . . . . . . . . . . . . . . . . .In. .te. r.n.a. t.i.o.n.a.l.s.y.s.t.e.m. . . . . . . . . . . . . ....... . . . . . . . . . . . . . . .. . ....... . . . . . . . . . . . . . . . . . . . . . . . . ....... ... . . . . . . . . . . . . . . . . . . . . . . . . . . . .1. .X.P. .E.H.U.Q. .D.P. .H...).R.U.W\\. .R.Q. .H.O.D.N.K. . . . .1. .X.P. .E.H.U.Q. .D.P. .H...).R.X.U.P. .L.OOL.R.Q..R.Q.H. . . . . . . . . . . . . . . . . . . .À.Y.H..WK. R. .X.V.D.Q.G. .V.L[..K.X.Q.G. .UH. .G.D. .Q.G. . . . . .K.X. Q. .G.U.H.G..D.Q.G. .À.Y.H. .W.K.R.X.V.D. Q. .G..VL.[. . . . . . . . . . . . . . . . . . . . . . . . . . . ..WZ. .H.Q. .W\\..À.Y.H. . . . . . . . . . . . . . . . . .K.X.Q.G. U.H.G. .D. .Q.G..WZ. .H.Q. W.\\..À.Y.H. . . . . . . 30

Long Answer Questions  :ULWHWKHIROORZLQJQXPEHUVLQWKHSODFHYDOXHFKDUWDFFRUGLQJWRWKH,QGLDQV\\VWHPRI numeration. D WZRFURUHWKLUWHHQODNKVL[W\\QLQHWKRXVDQGDQGRQH E WKLUWHHQODNKVL[W\\VHYHQWKRXVDQGWZRKXQGUHGDQGÀIWHHQ F WKUHHFURUHIRUW\\VHYHQODNKHLJKWHHQWKRXVDQGWZRKXQGUHGDQGWKUHH G ÀYHFURUHVL[W\\RQHODNKWKLUW\\WKUHHWKRXVDQGWKUHHKXQGUHGDQGÀIW\\VHYHQ Solution: . . . . .C. .ro. .re. . . .T.e.n. .La. .k.h.s. . .L.a. k. .h.s. . .T.e.n. .Th. .o.u.s.a.n.d. .s. .T.h.o.u. s.a. .n.d.s. .H. .u.n.d.r.e.d.s. . .T.e.n.s. . .O.n.e. .s. . . .a.). . . . 2. . . . . . . . . .1. . . . . . . . . 3. . . . . . . . . . . .. . . . . . . . . . . . . 9. . . . . . . . . . .0. . . . . . . .0. . . . . . 1. . . . . . .b.). . . . . . . . . . . . . .1. . . . . . . . . 3. . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . .2. . . . . . . .1. . . . . . 5. . . . . . .c.). . . . 3. . . . . . . . . .. . . . . . . . . . . . . . . . . . . . .1. . . . . . . . . . . . . 8. . . . . . . . . . .2. . . . . . . .0. . . . . . 3. . . . . . .d.). . . . 5. . . . . . . . . .. . . . . . . . . 1. . . . . . . . . . . .3. . . . . . . . . . . . . 3. . . . . . . . . . .3. . . . . . . .5. . . . . . . . . . . ................................................................................. ................................................................................. Page 124  :ULWHWKHIROORZLQJQXPEHUVLQWKHSODFHYDOXHFKDUWDFFRUGLQJWRWKH,QWHUQDWLRQDO system of numeration. D IRUW\\PLOOLRQWKUHHKXQGUHGVL[W\\QLQHWKRXVDQGWZRKXQGUHGDQGIRUW\\RQH E QLQHKXQGUHGIRUW\\VHYHQWKRXVDQGWZRKXQGUHGDQGVHYHQWHHQ F VL[PLOOLRQVHYHQKXQGUHGHLJKWHHQWKRXVDQGWKUHHKXQGUHGDQGRQH G HLJKWKXQGUHGWZHQW\\RQHWKRXVDQGWKUHHKXQGUHGDQGÀIW\\QLQH Solution: . . . . . . .T.e.n. . . . . . . . . . . . . . .H.u.n. d. .re. .d. . . . . . . .T.e.n. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Millions Thousands Hundreds Tens Ones . . . . .M. .il.li.o.n.s. . . . . . . . . . . .T.h.o.u.s.a. n. .d.s. . . .T.h.o.u.s.a. n. .d.s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . a. .). . . . .. . . . . . . .0. . . . . . . . . . .3. . . . . . . . . . . . .. . . . . . . . . . . .9. . . . . . . . . . .2. . . . . . . .. . . . . .1. . . . . b. .). . . . . . . . . . . . . . . . . . . . . . . .9. . . . . . . . . . . . .. . . . . . . . . . . .. . . . . . . . . . .2. . . . . . . .1. . . . . .. . . . . .c.). . . . . . . . . . . . .. . . . . . . . . . .. . . . . . . . . . . . .1. . . . . . . . . . . .8. . . . . . . . . . .3. . . . . . . .0. . . . . .1. . . . . d. .). . . . . . . . . . . . . . . . . . . . . . . .8. . . . . . . . . . . . .2. . . . . . . . . . . .1. . . . . . . . . . .3. . . . . . . .5. . . . . .9. . . . ................................................................................. ................................................................................. WB: Large Numbers 31

Page 125 3.1 I Apply Short Answer Questions  &RPSDUHDQG Solution: . /. H. .W.X.V.Z. .U.LW.H..WK. H. .J. .LY.H.Q. .Q.X. P. .E. .H.UV..LQ. .W.K.H..S.OD. .F.H..Y.D.O.X.H..F.K.D. U.W. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . C. . . . . . . . . T.L. . . . . . . . .L. . . . . . . .T. T.h. . . . . . . .T.h. . . . . . . . H. . . . . . . . . .T. . . . . . . . .O. . . . . . . . . . . . . . . . .9. . . . . . . . .2. . . . . . . . .3. . . . . . . . .9. . . . . . . . .5. . . . . . . . . .. . . . . . . . .. . . . . . . . .8. . . . . . . . . . . . . . . . . . . . . . . . . .5. . . . . . . . .. . . . . . . . .8. . . . . . . . .. . . . . . . . . .3. . . . . . . . .2. . . . . . . . .. . . . . . . . . . . . 7.K. .H.Q. .X.P. .E.H.U.R. .I.G.L.J.LW.V.L.Q.. . ........LV.P. .R. U.H..W.K.D.Q..W.K.H..Q.X.P. .E.H. U..R.I.G.L.J.LW.V.L.Q.......... . . . . . . . 6. R. ........ . . .!........ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .................................................................................  &RPSDUHDQG Solution: . /.H. .W.X.V.Z. .U.LW.H.W.K.H. .J. L.Y.H.Q. .Q.X.P. .E. .H.UV..LQ..W.K.H..S.OD. .F.H..Y.D.O.X.H..F.K.D. U.W. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.L. . . . . . . . .L. . . . . . . .T.T.h. . . . . . . .Th. . . . . . . . .H. . . . . . . . . .T. . . . . . . .O. . . . . . . . . . . . . . . . . . . . . . . . . . .3. . . . . . . . .. . . . . . . . .8. . . . . . . . .. . . . . . . . .. . . . . . . . . 5. . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3. . . . . . . . .0. . . . . . . . .1. . . . . . . . .3. . . . . . . . . 2. . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 7.K. H. .Q. X. .P. .E.H.U.R. .I.G.LJ. .LW.V.L.Q.. . . .....L.V.P. .R.U.H..WK. .D.Q..WK. .H.Q. .X.P. .E.H.U.R. .I.G.L.J.LW.V.L.Q.. . ...... . . . . . . . . . 6. R. ......... .!......... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Long Answer Questions  $UUDQJHWKHJLYHQQXPEHUVLQWKHDVFHQGLQJDQGGHVFHQGLQJRUGHUV  Solution: . .:. U.LW.H..W.K.H..Q.X.P. .E.H. U.V.L.Q.W.K.H. .S. .OD.F. .H.Y. D. .OX. H. .F. K. .D.U.W.D.V.V.K. R. .Z.Q. .E. H. .OR. Z. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . C. . . . . . . . . .TL. . . . . . . . .L. . . . . . . .T. T.h. . . . . . . .T.h. . . . . . . . H. . . . . . . . . .T. . . . . . . . .O. . . . . . . . . . . . . . . . .9. . . . . . . . .8. . . . . . . . .3. . . . . . . . .. . . . . . . . .8. . . . . . . . . .5. . . . . . . . .9. . . . . . . . .. . . . . . . . . . . . . . . . .2. . . . . . . . .. . . . . . . . .3. . . . . . . . .2. . . . . . . . .. . . . . . . . . .8. . . . . . . . .1. . . . . . . . .. . . . . . . . . . . . . . . . .9. . . . . . . . .. . . . . . . . .1. . . . . . . . .2. . . . . . . . .. . . . . . . . . .1. . . . . . . . .2. . . . . . . . .. . . . . . . . . . . . . . . . .1. . . . . . . . .3. . . . . . . . .1. . . . . . . . .8. . . . . . . . . . . . . . . . . . .5. . . . . . . . .2. . . . . . . . .. . . . . . . . . . . . .,Q..WK. .H.F. .UR. .UH. V..S.OD. .F.H. .. .!...!. ...D.Q. G. .L.Q.W.K.H. .W.H.Q..OD. .N.K.V.S. O.D.F. H. ...!. ...!.. .!.... . . . . . . . . . . . . . . 32

Page 126 6.R. .. ........... ........... ........... .......... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7.K.X. V..WK. .H.U.H.T. .X.LU.H.G. .D.V.F.H. .Q.G.L.Q.J..R.UG. .H.U.L.V...... . . ... ...... . . ... ...... . . ... ...... . . .. . . . . D.Q. G. .W.K.H. .G.H. .VF. .H.Q.G. L.Q.J. .R.U.G.H. U..LV... . .......!... . .......!... . .......!... . ....... . . . . . . . . . . . ................................................................................. .................................................................................  7KHQDPHVRIDIHZFRXQWULHVDQGWKHLUSRSXODWLRQVDUHJLYHQEHORZ8VHWKLV LQIRUPDWLRQWRDQVZHUWKHTXHVWLRQVWKDWIROORZ )UDQFH ,FHODQG ,UDQ ,WDO\\ D :KDWLVWKHSRSXODWLRQRI)UDQFH\":ULWHWKHQXPEHULQZRUGV E :KDWLVWKHSRSXODWLRQRI,WDO\\\":ULWHWKHQXPEHULQZRUGV F :KLFKRIWKHFRXQWULHV,FHODQGRU,UDQKDVPRUHSRSXODWLRQ\" Solution: .D...7 K. .H.S. .R.S. X. .OD.W.LR. .Q.R. .I.).UD. .Q.F.H. .LV......... . ..,Q..Z. R. .UG. .V.L.W.LV..V.L[.F. .UR. .UH. .À.I.W\\..I.R.X.U.O.D.N.K.. . . . . . . . . .. . .IR. .UW.\\..VH. .Y.H.Q..WK. .R.X.V.D.Q. G. .W.K.U.H.H..K.X.Q. G. .UH. .G..D.Q.G. .V.H.Y.H. Q. .W\\..I.R.X.U. . . . . . . . . . . . . . . . . . . . . . . . . . . .E...7K. .H.S. .R.S. X. .OD.W.LR. .Q.R. .I.,W.D.O.\\.L.V..... . . ....,Q. .Z. .R.U.G.V..LW.L.V.V.L[..F.U.R.UH. .W.K.U.H.H..OD. .N.K.I.R.U.W\\. . . . . . . . . . . .. . .WK. .R.X.V.D.Q. G. .W.K.U.H.H..K.X.Q. G. .UH. .G..D.Q.G. .W.Z.H. .Q.W\\. .H. L.J.K.W.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .F..7.K. .H.S. .R.S.X. .OD.W.LR. .Q.R. .I.,F. .H.OD. .Q.G..LV.. . . ....D. .Q.G..W.K.D.W.R. .I.,U.D.Q..LV............ . . . . . . . . . . . . . . . . .. . .$.V.. .........!.. .......,.UD. Q. .·V..K.D.V..P. R. .UH. .S. R. .S.X.O.D.W.LR.Q. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. 3.1 I Explore (H.O.T.S.) Short Answer Question  )LQGWKHSODFHYDOXHVDQGIDFHYDOXHVRIWKHXQGHUOLQHGGLJLWVLQWKHJLYHQQXPEHUV a) 9 E 123059 Solution: .D...).D.F.H. .Y.D. O.X.H.. ....3.OD. .F.H..Y.D.O.X.H.. .. . . ..... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .E...).D.F.H. .Y.D. O.X.H.. ....3.OD. .F.H..Y.D.O.X.H.. .. . . .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. WB: Large Numbers 33

Page 127 Long Answer Question  :KDWLVWKHGLIIHUHQFHEHWZHHQWKHSODFHYDOXHDQGIDFHYDOXHRIWKHGLJLWLQWKH QXPEHU\" Solution: . .7.K.H..S.OD. .F.H..Y.D.O.X.H..R.I...LQ........ . ..L.V....... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7.K.H..ID. .F.H..Y.D.O.X.H..R.I...LV.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7.K.H.L.U.G.LI.I.H.UH. .Q.F.H. .LV......... .².. . ........ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

V – Appendices Usage Tip: Additional reading resources that can be read to improve your  knowledge and expertise  Sub‐Sections: 15. How to be a Rockstar Teacher  (In Part 1B) 16. Blackboard Information Organising Tips  (Graphic Organisers)  Page 128

16. Blackboard Informa on Organising Tips (Graphic Organisers)  There are interes ng ways to represent informa on on the black board to make learning more engaging and fun.  Given below are some of them.  Using these will also improve learners’ ability to process, store and recall the informa on presented, later. Mind map Word splash KWL chart Tip chart Table Venn diagram Bubble Star diagram Timeline Process chart diagram Cycle chart Tree diagram Spider Layered diagram triangle/ Pyramid Page 129

Mind map  Useful to build connec ons between concepts  Helps in understanding informa on and discovering new rela onships Source: h ps://in.pinterest.com/pin/107101297358882191/ Sample blackboard illustra on: Page 130

droplets form Word splash commonly  Makes learning terminology easier for kids  Bring out the ability to make connec ons during glaciers circulates  Keywords discussed can be wri en on the comes places changes waterfrcocomofoomluhseenogadtrroftahcurilnvlsosdeelardsrscilvosfkueonydrrdssmAdAorcncHiftteifiamcearcnartseliacnyats board and learners can be asked to make connec ons see ice  You can use this online tool: back vapour various h p://www.abcya.com/word_clouds.htm springs areas forms KWL chart turns cycle But goes rain snow available sources saltwater lakes region droplets ponds Builds outcome orienta on and KW L help learners/teachers to organise informa on before, during and a er a lesson/ac vity I know I want to know I have learned Air is everywhere. Why do we need air?  We need air to breath.  Air helps in burning. Page 131

TIP chart Term Informa on Picture Help learners to remember and understand complex terms with the help of pictures and informa on Lever A lever is a bar, rod or axle wheel Wheel and axle pla orm that can move about a fixed point. Wheel and axle make work easier by reducing fric on. A wheel helps things to move. The axle helps the wheel turn. Table  Useful to note down informa on a er discussions and clearly bring out points about different things from different perspec ves  Helps build modular thinking ability in kids Page 132

Venn diagram WHALES FISH  Useful to remember logical rela onships between groups of things have hair have scales  Can be used to indicate what is common and live in water what is different between two things or groups of things give birth to young ones have fins lay eggs can swim have lungs to breathe have gills to breathe Source: h p://www.learnnc.org/lp/pages/2646 Bubble diagram Can be used to visualise the washroom store components of a concept room along with their rela ve sizes, quan ty and bedroom kitchen connec ons between them dining room bedroom drawing car porch room entrance Page 133

Star diagram Can be used to describe the key points of a story or event using the 5Ws A document that contains a set of rules for the government and the ci zens What? The people of India Whom? Who? BR Ambedkar and a team of 300 leaders Cons tu on How long? When Three years 26 January, 1950 Page 134

Timeline Useful to recall events in chronological order with dates Timeline of evolu on of transporta on 3500 BC 2000 BC 1783 AD 1787 AD 1790 AD 1801 AD 1862 AD 1903 AD Inven on of Domes cated Inven on of Inven on of the Inven on of Inven on of the Inven on of the Inven on of the wheel and animals such as the hot air steamboat the bicycle steam automobile the modern the boat horses and balloon locomo ve aeroplane donkeys begin to carry burden Process chart The blood travels It collects more and Blood enters the Useful to represent through the body. more waste. kidneys. Kidneys filter and remember the blood which passes informa on that When passing urine, the The urinary bladder through them. follows a par cular urine from the bladder is stores this urine. When sequence thrown out through the the bladder is almost Kidneys send all the urethra. half full, we feel like waste to the bladder passing urine. through the ureters in the form of urine. Page 135

Cycle chart  Useful to represent and remember informa on that follows a par cular sequence  Both open ended simple process or closed cycles can be used Sample blackboard illustra ons: Page 136

Tree diagram Sources of water Helps in classifying or categorising informa on Natural sources Man-made or Ar ficial sources Rain River Pond Lake Well Borewell Tube well Spider diagram  Useful to represent and remember Mango Rice complex topics Wheat Fruits  Useful to build connec ons within a Grains concept or between concepts Apple Carrot Food Green gram Onion Len l Vegetables Pulses Page 137

Layered triangle/Pyramid  Can be used to start with a broad topic and move to a more focussed or complex topic  Can be used to start with a basic topic and move to a more evolved/complex topic Structure of State Administra on State Division District Tehsil Block Village Page 138

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