182920067-Traveller-G4-Teacher Companion Book-Maths-Part1-A

Page 98 Teacher Reference – Textbook f) 2) Write the next four terms of the patterns with the given rules. a) Pattern starting with 74 and increasing by 35 [74, 109, 144, 179, 214] b) Pattern starting with 406 and decreasing by 22 [406, 384, 362, 340, 318] c) Pattern starting with 351 and increasing by 55 [351, 406, 461, 516, 571] d) Pattern starting with 758 and decreasing by 15 [758, 743, 728, 713, 698] e) Pattern starting with 1 and each term increasing by multiplying 2 [1, 2, 4, 8, 16] f) Pattern starting with 80 and each term decreasing by dividing 2 [80, 40, 20, 10, 5] TB: Patterns

Patterns2Chapter 2.1 Growing and Reducing Patterns I Recall Multiple Choice Questions 1) Patterns created by humans are called _______________. [A ] (A) human-made patterns (B) natural patterns [ C] [ B] (C) number patterns (D) shapes patterns 2) ___ is an odd number. Page 99 (A) 8 (B) 10 (C) 11 (D) 20 3) A zebra has _______________. (A) human-made patterns (B) natural patterns (C) number patterns (D) shapes patterns I Remember and Understand Multiple Choice Questions 4) Patterns with increasing numbers are called _____________________. [ C] [ A] (A) reducing patterns (B) odd-number patterns (C) growing patterns (D) even-number patterns 5) Patterns with decreasing numbers are called ______________ patterns. (A) reducing (B) odd-number (C) growing (D) even-number 17

6) The number that comes next in the pattern: 294, 283, 272, 261, ... is ___. [ D ] (A) 230 (B) 260 (C) 240 (D) 250 Fill in the Blanks 7) The numbers that differ by 1 and are written without any gap are called __c_o_n_s_e__c_u_t_iv_e____ numbers. Complete the given patterns. 8) 8126, 8191, 8256, __8_3_2__1__, 8386 9) 287, 265, 243, 221, __1_9_9____ Very Short Answer Questions 10) Find the next number in the pattern: 7288, 7387, 7486, 7585, ... Solution: 7684 11) Find the next number in the pattern: 154, 146, 138, 130, ... Solution: 122 12) Find the next number in the pattern: 627, 595, 563, 531, ... Page 100 Solution: 499 Short Answer Questions 13) Write the next two numbers in the pattern: 476, 516, 556, 596, ... Solution: 636, 676 14) Draw the next two shapes in the pattern: Solution: 18

Long Answer Questions 15) Complete the following patterns by writing the next two terms in each case. a) 387, 428, 469, 510, ... b) 911, 881, 851, 821, ... c) 29, 132, 235, 338, ... d) 777, 676, 575, 474, ... Solution: a) 551, 592 b) 791, 761 c) 441, 544 d) 373, 272 Page 101 16) Complete the following patterns by drawing the two shapes that follow them in the series. a) b) Solution: a) b) I Apply Short Answer Questions  $SDWWHUQEHJLQVZLWKDQGLWVWHUPVLQFUHDVHE\\:ULWHWKHÀUVWÀYHWHUPVRI the pattern. Solution: 652, 717, 782, 847, 912  $SDWWHUQEHJLQVZLWKDQGLWVWHUPVGHFUHDVHE\\:ULWHWKHÀUVWÀYHWHUPV of the pattern. Solution: 528, 485, 442, 399, 356 Patterns 19

Long Answer Questions  :ULWHWKHÀUVWÀYHWHUPVRIDSDWWHUQWKDWEHJLQVZLWKWKHQXPEHU a) 15 and the terms increase by 111. b) 783 and the terms decrease by 44. Solution: a) 15, 126, 237, 348, 459 b) 783, 739, 695, 651, 607  :ULWHWKHÀUVWÀYHWHUPVRIDSDWWHUQWKDWEHJLQVZLWKWKHQXPEHU a) 3 and the terms increase by multiplying each term by 3. b) 96 and the terms decrease by dividing each term by 2. Solution: a) 3, 9, 27, 81, 243 b) 96, 48, 24, 12, 6 I Explore (H.O.T.S.) Short Answer Question Page 102 21) Complete the following patterns by writing the next two terms. a) 1, 4, 16 (Hint: Multiply by 4) b) 160, 80, 40 (Hint: Divide by 2) Solution: a) 64, 256 b) 20, 10 Long Answer Question 22) Complete the following patterns by writing the next two terms in each case. (Hint: Mixed series) a) 1, 5, 5, 10, 9, 15, ... b) 4, 3, 8, 6, 12, 9, ... c) 3, 8, 5, 10, 7, 12, ... d) 2, 6, 5, 8, 8, 10, ... Solution: a) 1, 5, 5, 10, 9, 15, 13, 20. b) 4, 3, 8, 6, 12, 9, 16, 12. c) 3, 8, 5, 10, 7, 12, 9, 14. d) 2, 6, 5, 8, 8, 10, 11, 12. 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 103

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 104

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 105

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 106

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 107

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 108

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 109

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 110

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 111

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 112

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 113