182120043-Passport-G3-Teacher Companion Book-Maths-Part1-A

Long Answer Questions 15) :ULWHLQLWVVWDQGDUGIRUP6KRZWKHQXPEHURQDEDFXVDQG ZULWHLWVQXPEHUQDPH Solution: 7RZULWHWKHQXPEHULQLWVVWDQGDUGIRUPZHZULWHWKH GLJLWVLQWKHFRUUHFWSODFHVLQWKHSODFHYDOXHFKDUW Thousands Hundreds Tens Ones 3465 So, the standard form of 3000 + 400 + 60 + 5 is Th H T O ZULWWHQDV 1XPEHUQDPHRILVWKUHHWKRXVDQGIRXUKXQGUHGDQGVL[W\\ILYH  :ULWHWKHH[SDQGHGIRUPVRIWKHIROORZLQJQXPEHUV:ULWHWKHLUQXPEHUQDPHV a) 6021 b) 2138 Solution: 7RH[SDQGWKHJLYHQQXPEHUVZULWHWKHLUGLJLWVLQWKHFRUUHFWSODFHVLQWKH Page 98 SODFHYDOXHFKDUW. Thousands Hundreds Tens Ones The expanded forms are: a) 6 0 21 a) 6000 + 0 + 20 + 1 = 6021 b) 2 1 38 b) 2000 + 100 + 30 + 8 = 2138 The number names are: D 6L[WKRXVDQGDQGWZHQW\\RQH E 7ZRWKRXVDQGRQHKXQGUHGDQGWKLUW\\HLJKW 3.1 I Apply Short Answer Questions  )RUPDQXPEHUZLWKLQWKHWKRXVDQGVSODFHLQWKHKXQGUHGVSODFHLQWKH WHQVSODFHDQGLQWKHRQHVSODFHDQGZULWHLWVQXPEHUQDPH Solution: :ULWHWKHJLYHQGLJLWVLQWKHSODFHYDOXH Th H T O chart according to their places. 8374 14

The required number is 8374. ,W·VQXPEHUQDPHLVHLJKWWKRXVDQGWKUHHKXQGUHGDQGVHYHQW\\IRXU  )RUPDQXPEHUZLWKLQWKHWKRXVDQGVSODFHLQWKHKXQGUHGVSODFHLQWKH WHQVSODFHDQGLQWKHRQHVSODFHDQGZULWHLWVQXPEHUQDPH Solution: :ULWHWKHJLYHQGLJLWVLQWKHSODFHYDOXHFKDUWDFFRUGLQJWRWKHLUSODFHV Thousands Hundreds Tens Ones 6149 The required number is 6149. ,WVQXPEHUQDPHLVVL[WKRXVDQGRQHKXQGUHGDQGIRUW\\QLQH Long Answer Questions Page 99 19) Mona has four notes of `ÀYHQRWHVRI` 100, one note of ` 10 and four coins of ` 1.+RZPXFKPRQH\\GRHVVKHKDYH\":ULWHWKHDPRXQWLQÀJXUHVDQGZRUGV Solution: Four notes of ` 2000 = ` 2000 + ` 2000 + ` 2000 + ` 2000 = ` 8000 )LYHQRWHVRI` 100 = `100 + ` 100 + ` 100 + ` 100 + ` 100 = ` 500 One note of ` 10 = ` 10 Four coins of ` 1 = ` 1 + ` 1 + ` 1 + ` 1 = ` 4 6RWKHWRWDOPRQH\\WKDW0RQDKDV ` 8000 + ` 500 + ` 10 + ` 4 = ` 8514 7KHUHIRUHWKHDPRXQWLQZRUGVLVHLJKWWKRXVDQGILYHKXQGUHGDQG fourteen rupees.  7KHQXPEHURIVWXGHQWVLQGLIIHUHQWVFKRROVLVJLYHQEHORZ St. Anns: 4621 Global: 3275 Akshara: 6485   %DODML  1DUD\\DQD  D+RZPDQ\\VWXGHQWVDUHWKHUHLQ$NVKDUDVFKRRO\":ULWHWKHQXPEHULQZRUGV  E+RZPDQ\\VWXGHQWVDUHWKHUHLQ%DODMLVFKRRO\":ULWHWKHQXPEHULQZRUGV Solution: D7KHQXPEHURIVWXGHQWVLQ$NVKDUDVFKRROLV,QZRUGVLWLVVL[  WKRXVDQGIRXUKXQGUHGDQGHLJKW\\ILYH E7KHQXPEHURIVWXGHQWVLQ%DODMLVFKRROLV,QZRUGVLWLVHLJKW  WKRXVDQGWZRKXQGUHGDQGVL[WHHQ WB: Numbers 15

3.1 I Explore (H.O.T.S.) Short Answer Question  6KRZWKHVHQXPEHUVRQWKHDEDFXVE\\GUDZLQJEHDGV a) 1725 b) 1003 Solution: a) b) Th H T O Th H T O Long Answer Question Page 100 22) A 4-digit number has 6 in the thousands place and 4 in the hundreds place. The digit in the tens place is 2 less than the digit in the thousands place. The digit in the ones place is 1 less than that in the hundreds place. Find the number. Solution: The digit in the thousands place = 6 The digit in the hundreds place = 4 The digit in the tens place is 2 less than the digit in the thousands place = 6 – 2 = 4 The digit in the ones place is 1 less than the digit in the hundreds place = 4 – 1 = 3 So, the required number is 6443. Concept 3.2: Compare 4-digit Numbers 3.2 I Recall Multiple Choice Questions  7KHODUJHVWQXPEHUDPRQJWKHIROORZLQJLVBBBBBBBBBBBB >D@ [A] (A) 3165 (B) 169 (C) 68 (D) 7204 2) The smallest number among 302, 30 and 3 is ___________. (A) 3 (B) 302 (C) 30 (D) 320 16

:ULWHWKHFRUUHFWV\\PEROLQWKHEODQNBBBBBB >A@ (A) < (B) > (C) = (D) all of these 3.2 I Remember and Understand Multiple Choice Questions 4) The greater of the numbers 215 and 3610 is ____________. [B] (A) 215 (B) 3610 (C) both are equal (D) cannot be said 5) The smallest 4-digit number is ____________. [B] (A) 1001 (B) 1000 (C) 1100 (D) 1010 6) The greatest 4-digit number is ____________. [A] (A) 9999 (B) 9000 (C) 999 (D) 1000 Fill in the Blanks Page 101 7) The smallest number among 3150, 5013, 5130, 5031 is __3_1__5_0__. 8) The greatest number among 3150, 5013, 5130, 5031 is __5_1_3_0___.  )LOOLQIROORZLQJZLWK!RU V\\PERO 6512 ___>_____ 5261 Very Short Answer Questions  :KLFKLVWKHJUHDWHURIWKHQXPEHUVDQG\" Solution: 5652  &RPSDUHWKHQXPEHUVXVLQJWKHV\\PEROV!RU  a) 4612 ___<___ 4626  :KLFKLVWKHJUHDWHUQXPEHU\"  V L[WKRXVDQGWKUHHKXQGUHGDQGQLQHW\\WZR VL[WKRXVDQGWKUHHKXQGUHGDQGQLQHW\\HLJKW Solution: VL[WKRXVDQGWKUHHKXQGUHGDQGQLQHW\\HLJKW WB: Numbers 17

Short Answer Questions 13) Write the smallest and the largest 4-digit numbers among 2400, 4200, 2200 and 4400. Solution: The smallest 4-digit number is 2200 and the largest 4-digit number is 4400. 14) Write the smallest and the largest numbers among 1478, 9240, 2584, 8362 and 1024. Solution: Smallest number = 1024 Largest number = 9240 Long Answer Questions 15) Write the smallest and the largest numbers among a) 863, 3972, 183 and 748. b) 462, 2973, 324 and 268 Solution: a) Smallest = 183 b) Smallest = 268 Largest = 3972 Largest = 2973 Page 102  :ULWHWKHVPDOOHVWDQGWKHODUJHVWRIWKHJLYHQQXPEHUV&RPSDUHWKHPXVLQJ WKHV\\PEROV!RU  a) 7021, 7822, 7321, 7429 and 7676 b) 1468, 1486, 1386, 1368 and 1485 Solution: a) Smallest = 7021 b) Smallest = 1368 Largest = 7822 Largest = 1486 7822 > 7021 1368 < 1486 3.2 I Apply Short Answer Questions  $UUDQJHDQGLQDVFHQGLQJRUGHUDQGZULWHWKHVPDOOHVW number. 18

Solution: 7KHDVFHQGLQJRUGHURIWKHJLYHQQXPEHUVLV The smallest number is 4005.  SHRSOHYLVLWHGDSDUNRQ)ULGD\\DQGSHRSOHYLVLWHGLWRQ6XQGD\\2Q ZKLFKGD\\GLGIHZHUSHRSOHYLVLWWKHSDUN\" Solution: 1XPEHURISHRSOHZKRYLVLWHGWKHSDUNRQ)ULGD\\  1XPEHURISHRSOHZKRYLVLWHGWKHSDUNRQ6XQGD\\  $VIHZHUSHRSOHYLVLWHGWKHSDUNRQ)ULGD\\ Long Answer Questions  )RUPGLJLWQXPEHUVXVLQJDQGE\\UHSHDWLQJWKHWZRVPDOOHVWGLJLWV Find the largest and the smallest among them. Solution: 7KHWZRVPDOOHVWGLJLWVDUHDQG:KHQWKH\\DUHUHSHDWHGWKHGLIIHUHQW 4-digit numbers that can be formed are 2233, 2323, 2332, 3223, 3232 and 3322. The greatest of them is 3322 and the smallest is 2233. Page 103  $UUDQJHWKHIROORZLQJQXPEHUVLQDVFHQGLQJDQGGHVFHQGLQJRUGHUV a) 2061, 2160, 2601, 1620, 1260 b) 8139, 8913, 8391, 8816, 8618 Solution: a) Ascending order: 1260, 1620, 2061, 2160, 2601 Descending order: 2601, 2160, 2061, 1620, 1260 b) Ascending order: 8139, 8391, 8618, 8816, 8913 Descending order: 8913, 8816, 8618, 8391, 8139 WB: Numbers 19

Page 104 3.2 I Explore (H.O.T.S.) Short Answer Question 21) Emma arranged the numbers 6523, 1642, 1872 and 3219 in the ascending order as 1872 < 1642 < 3219 < 6523. Harsha arranged them as 1642 < 1872 < 3219 < 6523. )LQGRXWZKRLVFRUUHFWDQGH[SODLQZK\\ Solution: Harsha’s arrangement is correct. 5HDVRQ:KHQZHFRPSDUHWKHKXQGUHGVSODFHKXQGUHGVKXQGUHGV 6RLVWKHVPDOOHVWQXPEHU$VDVFHQGLQJRUGHUVWDUWVZLWKWKHVPDOOHVW number, Harsha’s arrangement is correct. Long Answer Question  $GLJLWQXPEHUWKDWOLHVEHWZHHQDQGWKHODUJHVWGLJLWQXPEHUKDVWKH sum of its digits as 33. Find the number. Solution: 7KHQXPEHUVWKDWOLHEHWZHHQDQGWKHODUJHVWIRXUGLJLWQXPEHU 9999, are 9991, 9992, 9993, 9994, 9995, 9996, 9997 and 9998. 2IWKHVHWKHQXPEHUZKRVHVXPRIWKHGLJLWVLVLV  20

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 105

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 106

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 107

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 108

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 109

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 110

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 111

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 112

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 113

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 114

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 115