Math_7_multiplication and division of fractions_navneet kad_ghskarala. Doc

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1 Math_7_multiplication and division of fractions_navneet kad_ghskarala. Doc Section A. This chapter starts with a recap of addition and subtraction of fraction. Then multiplication and division of fraction and Decimals is explained. Questions based on these operations will be done. Name of the school GHS Karala Name of the teacher Navneet Kad Class VII Subject Mathematics Name of the chapter ibmnw Aqy dsmlv No. of periods 12 required to teach the chapter Section B. Objectives / Expected Learning Outcomes B.1 usefulness in daily life ieh ivsw gixq dy kei hor ivsy ijvyn prqisq, AMkVy, rwsiaw di qulnw, pirmyx smikawvw Aqy Kyqr imqi Awid num smjx lei Aiq jruri hy[ swfy rojwnw jivn iv`c ieh bhuq kmm AwauNdw hy ijvyn fyf iklo Pl, 3½ mitr kpvw, ¾ iklo pnir. kei vsqw dy mu`l dsmlvw iv`c humdy hn ijvyn.50 ru: priq iklo Awlu jw r: priq iltr qyl Awid[ ies qrw dy hlwqw iv`c swnum ibmnw Aqy dsmlvw di jwxkwri hoxi bhuq jruri hy[ hryk qrw dy competitive exams iv`c ies ivsy qy ADwirq prsn jrur pu`cy jwdy hn[ ies lei hryk career options iv`c ies ivsy di lov pyndi hy[ B.2 Simplifying the complex *ieh ivsw ibmnw Aqy ies dy prkwr, smwn ibmnw, ibmnw dw jov Aqy Gtwau di recapitulation nwl SurU kiqw jwvygw *ipr ibmnw di guxw num ikiraw nwl smjwieaw jwvygw[ *ipr ibmnw di Bwg num ikiraw nwl smjwieaw jwvygw[ * ies qy ADwirq prsn krvwey jwxgy[ *swry concepts di duhrwei krvwei jwvygi[ *ies qon bwd dsmlvw di jwx- pihcwx krvwei jwvygi[ *dsmlvw di qulnw, dsmlvw di guxw Aqy Bwg ikiraw nwl smjwei jwvygi [

2 B.3 Life skills 1. ftfdnkoeh e[m rshftxhnk B{z eob bjh ro[zg ftu ezw eobr/ fi; Bkb Nhw toe dh GktBk g?dk j't/rh. 2H id'a ftfdnkoeh fgzbk ftu calculate eobk f;zy ikdr/ sk T[jBK ftu nksw ft;atk; g?dk j't/rk. 3.Critical Thinking 4. Public speaking 5. Creative art B.4 Vocabulary Numerator AMS Denominator hr Fractions ibmnw Proper Fraction auicq ibmn Improper Fraction Axauicq ibmn Equivalent qu`l ibmnw Like fractions smwn ibmnw Unlike fractions Asmwn ibmnw Mixed imsirq ibmnw Comparing qulnw Order qrqib Operator of dw Awprytr Addition jov Subtraction Gtwau Multiplication guxw Division Bwg Reciprocal ault krm Decimals dsmlv < Is less than Cotw hy > Is grater tan v`fw hy Section C. Building Bridges Natural numbers and whole numbers prwikriqk smikawvw ns/ g{ob ;zfynktk Number line smikaw rykw Fractions ibmnw 1/ :- dsvw 1/0 :- sonvw 1/00= hjwrvw Proper, improper and mixed fractions auicq, Axauicq Aqy imsirq ibmnw Equivalent fractions brwbr (qu`l) ibmnw Like and unlike fractions smwn Aqy Asmwn ibmnw Addition and subtraction of fraction ibmnw dw jov Aqy Gtwau LCM (Least Common Multiple) lguqm smwpvrqk (l s v)

3 Division and multiplication of whole numbers purn smikawvw di guxw Aqy Bwg Reciprocal of a fraction ibmnw dw aultkrm Section D. Period wise break up for each chapter : Period What to be covered 1 ivid. di ibmnw sbmdi previous knowledge qwjw krn lei fraction strips di vrqon nwl ibmnw di jwxkwri, model or chart di vrqon nwl auicq Aqy Axauicq ibmnw, smwn Aqy Asmwn ibmnw,ibmnw dw jov Aqy Gtwa krvwei jwvygi[ Worksheets as home task id`qi jwvygi[ 2. jmwq num cwr grupw iv`c vmfky Aqy hryk grup numum ibmnw dy jov Aqy Gtwau qy ADwirq prsn krvwey jwxgy Aqy ikiraw qy iek problem frame krn nmu ikhw jwvygw[gr qon iek magic square bxwaux num idqw jwvygw[ 3 ibmnw di guxw di Awm jivn iv`c vrqon Aqy mhqqw d`s ky ibnw di purn smikaw nwl guxw smjwaux lei ikiraw krvwei jwvygi Aqy sbmdq prsn krvwey jwxgy[ 4 ibmnw di ibmnw nwl guxw smjwaux lei gr`up ikiraw krvwei jwvygi Aqy iesdy qriky di jnrlweijysn krvwei jwvygi[ 5 ibmnw di Bwg di Awm jivn iv`c vrqon d`s ky ibnw di Bwg dw qrikw ikiraw rwhin krvwieaw jwvygw Aqy sbmdq prsn krvwey jwxgy[ 6 rikyp krn lei ie`k viife idkwei jwvygi[ pmj immt lei hryk gr`up AwpxI pryzntysn dyvygw[ 7. dsmlvw nwl jwx pihcwx, dsmlv smikawvw num girf Aqy sqwnk mu`l swrxi qy drswauxw, dsmlvw di qulnw krni iskvwei jwvygi [ 8. dyink jivn iv`c ibnw di vrqon ijvyn rupey Aqy pyisaw num, duriaw Aqy Bwr num dsmlvw iv`c ilkxw Aqy sbmdq prsn krvwey jwxgy[ 9. dsmlvw di guxw di ikiraw krvw ky qriky di jnrlweijysn krvwei jwvygi[ smbmdq prsn krvwey jwxgy[. dsmlvw di, 0 Aqy 00 nwl guxw krvw ky knsypt di jnrlweijysn krvwei jwvygi[ smbmdq prsn krvwey jwxgy[ 11. dsmlvw di Bwg num ibmnw iv`c bdl ky jnrlweijysn krvwei jwvygi[ smbmdq prsn krvwey jwxgy[ivid. qo PIfbYk lyx lei ikiraw krvwei jwvygi [ 12. ivid. di PIfbYk LYky pwt di duhrwei krvwei jwvygi[ Section E. Micro planning of the periods or minute to minute breakup of periods Sub Section E.1 minute to minute break up of period 1

4 Entry behavior of teacher Introduction to fractions and types of fractions Equivalent fractions & Like and unlike fractions Addition and subtraction of like fractions Addition and subtraction of unlike fractions 5 AiDAwpk ie`k flash card (refer to Annexure GC1) ivid. num idkwvygw ijs ivc 1 syb, iesdy 2 ih`sy Aqy ipr 4 ih`sy dy ic`qr hoxgy[ AiD. ivid. num pu`cygw ik hryk Bwg nun ikvyn ilikaw jw skdw hy? AiD. d`sygw ik ibmn purn dw ie`k Bwg drswaundi hy[ auh ivid. num ie`k fraction strip. ( refer to annexure GC2) idkwvygw[ AiD. auicq Aqy Ax-auicq ibmnw smjweygw[ ie`qy AiD. model (refer to Annexure GC3) di vrqon krygw[ AiD. Axauicq ibmnw num imsirq ibmnw ivc bdlnw vi smjweygw[ AiD. ivid. num kuj auicq Aqy Axauicq ibmnw borf qy ilkx num khygw[ 5 min AiD. ivid. num 4-5 gru`pw ivc vmfygw[ iek ( refer to annexure GC4) ikiraw nwl qu`l ibmnw bwry smjweygw[ Smwn hr vwliaw Aqy Asmwn hr vwliaw ibmnw bwry disaw jwvygw [ 5 min AiD. ivid. num smwn hr vwliaw ibmnw dy jov Aqy Gtwau num do rmgw di vrqon krky smjweygw[ AiD. ivid. num ibmnw di qulnw krni vi iskweygw[ min AiDAwpk ivid. num lsv di duhrwei lei 1-2 prsn krvweygw[ ipr auh do Asmwn hr vwliaw ibmnw nmu smwn hr vwliaw ibmnw 2/5 + 3/ lvygw[ ieqy AiDAwpk qu~l ibmnw dy concept num vrq ky Asmwn hr vwliaw ibmnw num smwn hr vwliaw ibmnw iv`c bdl ky ivkwvygw [iek hor prsn lvygw: 3/ + 7/15. kuj ivid. ies num A`Dw Aqy coqw ih`sw ds`xgy[ kuj ivid. ies num 1, ½ and ¼ ds`xgy[ AiDAwpk ivid. dy jvwbw num borf qy ilkygw[ AiD. borf qy do rmgw dy cwkw di vrqon krygw [ lwl rmg nwl auicq Aqy hry rmg nwl Axauicq ibmnw ilkygw[ ivid. ikiraw kr ky nqijw dsxgy Aqy AiD. nqijy borf qy ilkygw[ AiD. hryk ivid. num do smwn ibmnw ly ky jov Aqy Gtwau( CotI ibmn num v`fi ibmn iv`con) krn num khygw[ Teacher will solve it on the bb. Here teacher can give two three problems to revise the concept of LCM. AiDAwpk bb qy h`l krygw

5 Q & A session 5 min AiDAwpk ivid. num prsn pu`cx lei auqswihq krygw Aqy pvwey gey twipk di PIfbYk lvygw[ Home task 2-3 min Teacher will distribute worksheets to students as home task(refer to annexure GD1) E.2 minute to minute break up of period 2 Entry behavior min AiD. ivid. num k`l bxwey grupw of teacher iv`c ibtw ky,gr qon krn lei id`qiaw vrksit dw h`l borf qy krvweygw Aqy ivid. num auhnw diaw glqiaw TIk krn lei khygw[ Students will do accordingly. Addition of mixed fractions AiDAwpk AiBAws iv`con imsirq ibmnw dy jov Aqy Gtwau qy ADwirq prsn lyky borf qy h`l krygw (students will tell the steps) AiDAwpk ivid. qon v`k -2 styp krvw skdw hy 1.imSirq ibmnw num Ax-auicq ibmnw iv`c bdlo[ 2. hrw dw lsv pqw kro[ 3. Asmwn hr vwliaw ibmnw num smwn hr vwliaw ibmnw iv`c bdlo[ Arranging fractions in order 7 min AiDAwpk AiBAws iv`con prsn lyky ibmnw num vddy jw Gtdy krm iv`c ilkxw smjweygw[ AiDAwpk Awp jw ivid. qon borf qy h`l krvw skdw hy[ Solving word problems Magic square activity 7 Teacher will take a word problem from ex. (related to perimeter) 5 min AiDAwpk bb qy ie`k magic square(refer to annexure GE1) bxweygw Aqy ivid. num d`sygw ies vrg di hryk kqwr, kwlm Aqy ivkrx dw jov brwbr hovygw[ Q & A session 5 min AiDAwpk ivid. num prsn pu`cx lei auqswihq krygw Aqy pvwey gey twipk di PIfbYk lvygw[ Home task 2-3 AiDAwpk ivid. num Gr qon ie`k magic square bnwaux lei AiDAwpk ivid. qon h`l krvw skdw hy[ ivid. grup iv`c ies kmm num vmf ky krxgy[

6 khygw[ Sub section E.3Minute to minute break up of period 3 Entry behavior of teacher AiDAwpk ivid. num pihlw vwg grupw iv`c bytx lei khygw Aqy auhnw duawrw iqawr kiqy gey magic squares ie`kty krygw [ AiDAwpk ivid. num pu`cygw : k`l myn do iklo ipawj KrIdy[ipAwj 20 ru:priq iklo sn[ myn ikmny pysy id`qy? ipr myn 2 ½ (FweI) iklo AwlU KrIdy[AwlUAW di kimq ru:priq iklo si[ d`so myn ku`l ikmny pysy id`qy? ijawdwqr ivid. jvwb dy skxgy: 40 ru: 20 x 2= =40 kuj ivid.tik au`qr dy skxgy: 25 ru: (Critical thinking) AiD. ivid. qon pu`cygw ik auhnw ny ikvyn pqw kiqw hy[ AiD. hryk jvwb num borf aùqy ilkygw[ kuj ivid. au`qr dyxgy: 2 X =20 1X5=5 20+5=25 AiD. hryk jvwb di prsmsw krygw[ kuj iemj aùqr dyxgy: 1 iklo AwlU = ru: 5 iklo AwlU= x5=50 ru: Introduction of multiplication of a fraction with a whole number AiDAipk ivid. num idkweygw ik ikvyn guxw num jov dy rup iv`c vi kiqw jw skdw hy[ Awau jrw sociey ik ie`k ibmn num ie`k purn smikaw nwl ikvyn guxw kiqw jw skdw hy? Awa AsIN 2 num ¼ nwl guxw krky vykiey[ ies num jov dy rup iv~c ies qrw ilikaw jw skdw hy[ AiD. ie`k ikiraw rwhin h`l 2 x 20=40 rs jw =40 rs ausy qrw 2 x 4=8 4+4=8 2 x ¼ = 1/4 +1/4=2/4

7 krygw Perform activity (reference to annexure GA1)on strips of a graph paper. ieqy AiDAwpk ieh dsygw ik iksy purn smikaw n UM iksy auicq jw Axauicq ibmn nwl guxw krn lei AsIN purn smikaw num ibmn dy AMS nwl guxw krdy hw Aqy ibmn dy hr num auhi rìkaw jwdw hy[ipr gunxpl num imawri rup iv`c ilikaw jwdw hy[ 3x ¼ = ¼ +1/4+1/4=3/4 3 x 2/5 =2/5 + 2/5+ 2/5= 6/5 Fraction as an operator of 5 min AiD: blykborf qy do brwbr vrg bxw ky auhnw num do brwbr BwgW iv`c vmfygw[ vrg 1 iv`c hrw Bwg Aqy vrg 11 iv`c lwl Bwg 1 dy ½ num drswaundw hy[ Solving problems and Q & A session Home task 2-3 min ieqy AiDAwpk d`sygw ik smcwlk dw guxw num drswaundw hy[ 15 min AiDAwpk AiBAws iv`con prsn lyky borf qy h`l krygw AiBAws iv`con kuj prsn Gr qon krn lei id`qy jwxgy[ dovyn Bwg iml ky 2 dy ½ num drswaundy hn[ jdon AsIN Asl iv`c iehnw num jovwgy qw ieh 1 drswaundw hy[ So ½ of 2=1 ½ x2=2/2=1 ivid. di active participation nwl prsn hl kiqy jwxgy[ Sub section E.4 Minute to minute break up of period 4 Entry behavior of teacher AiDAwpk ivid. num grupw iv`c ibtw ky Gr qon id`qy gey prsnw iv`c AweIAW problem num solve krygw [AiDAwpk p`ucygw: pr:1 b`icau quhwnum gjrylw jw b`cy hw iv`c jvwb dyxgy[

8 (Critical thinking) gwjr dw hlvw psmd hy? pr: 2 mynum vi bhuq psmd hy[ ies iv`c ki kuj pyndw hy? pr: 3. ipcly AYqvwr myn vi bxwieaw[ ies lei myn FweI iltr du`d, FweI iklo gwjrw Aqy fyf iklo cini KrIdI[ Awau jrw ihswb lgweiey myry ikmny pysy l`gy? Awau AsIN ie`k ibl bxweiey: du`d,gwjr Aqy cini vs qu d`ud ci ni gw jr mu`l priq iekwei 42 ru: priq iltr 40 ru: priq kg ½ ru: priq kg mwqrw ku`l kimq 2 ½ iltr 1 ½ Kg 2 ½ Kg 42 x2 ½ =42 x 5/2 =2/2 =5 ru: 40 x1 ½ =40 x 3/2 =120/2 =60 ru: ½ x2 ½ Introduction of multiplication of a fraction with a fraction AiDAwpk jvwb dyx vwly ivid. di SlwGw krky aus qon gxnw dw qrikw pu`cygw Aqy bb qy ilkygw[ 15 min Awau jrw idawn nwl vykiey: gwjr dw mul pqw krn lei swnum ie`k ibmn num dusri ibmn nwl guxw krni pvygi pr swnum qw Ajy iksy auicq jw Axauicq ibmn num ie`k purn smikaw nwl guxw krni AwauNdI hy[ Awau ie`k ikiraw a paper folding activity (refer to GF1) kriey[ aus qon bwd AiDAwpk hryk grup num Alg-2 ibmnw lei ikiraw krn lei khygw Aqy jvwb bb qy AMikq krygw[ AiDAwpk Awey hoey jvwbw num generalize krky d`sygw ik do ibmnw di guxw= ijawdwqr ivid. du`d Aqy cini dw mu`l pqw kr skxgy[ pr gwjr dw mu`l sb nhin kr skxgy[ Some of the students can answer correctly as Rs 26 and 25 paise 2 ½ X ½ =5/2 X 21/2 Awau ie`k audwhrx nwl SurU kriey: 1/2 x 1/3 After paper folding activity we conclude 1/2 x 1/3=1/6 Group 1: Perform 1/4 x 1/5=1/20 Group 2: Perform ¾ x ¼= 1/16 Group 3: Perform 1/2x 2/3=2/6 Group 4:

9 Multiplication of two proper fractions Solving problems and Q & A session AMSW di guxw hrw di guxw AiDAwpk ie`k audwhrx lyky d`sygw ik AsIN gunxpl qon pihlw vi srl kr skdy hw[ Awau hux gwjrw dw mu`l pqw kriey[ AiDAwpk smjweygw ik 26 ¼ Rs num AsIN 26 ru: Aqy 25 pysy vi ilk skdy hw[ ipr ibl purw krvwieaw jwvygw[ kul kimq pqw krky ies num bjwr iv`c gjryly di kimq nwl qulnw krky ivid. num disaw jw skdw hy ik Gr iv`c iqawr kiqiaw cijw vdyry positk Aqy ssqiaw pyndiaw hn[ 5 min AiDAwpk blykborf qy do rmgw dy cwkw di vrqon krky ivid. num smjweygw ik do auicq ibmnw di guxw auhnw dovyn ibmnw qom CotI humdi hy[ 15 Home task 2-3 min AsIN vyk skdy hw 1/6 < 1/3 1/6 < 1/2 AiDAwpk AiBAws iv`con prsn lyky ivid. di mdd nwl borf qy h`l krygw[ AiBAws iv`con kuj prsn Gr qon krn lei id`qy jwxgy[ hryk grup num dyink jivn ivcon do prsn iqawr krn num ikhw jwvygw jo ibmnw di guxw qy ADwirq hox[ Perform 1/4x1/3=1/ /9 x 18/25= 5 X =2/5 ½ x 2 ½ = 21/2 x 5/2= 5/4 = 26 ¼ Rs =26 rs and 25 paise 1/3 1/2 1/3 x 1/2= 1/6 1/6 Sub section E.5 Minute to minute break up of period 5 Entry behavior of teacher AiDAwpk ivid. num grupw iv`c ibtw ky Gr qon id`qy gey prsnw iv`c AweIAW problem Students can ask their problems.

10 (Critical thinking) num solve krygw [ AiDAwpk ivid. num 6 sm lmbi ie`k grwp sitrp ivkw ky pu`cygw: 2 sm lmby ikmny Bwg ies ivcon k`ty jw skdy hn? AiDAwpk ivid. qon h`l dw qrikw pu`cygw Aqy borf qy ilkygw[ hux auh pu`cygw ik 1 ½ sm lmby ikmny Bwg ies ivcon k`ty jw skdy hn? ijawdwqr ivid, au`qr dy skxgy: 3 smbwivq au`qr ho skdy hn: 2 x3=6 6 2 =3 ivid. Swied au`qr nw dy skx[(jykr koei ivid. au`qr idmdw hy qw AiDAwpk aus di prsmsw jrur kry) Introduction of Division of a fraction with a whole number AiDAwpk ipcli audwhrx di mdd nwl ivid. qon smbwivq qrikw pu`cygw[ Awau AsIN ie`k purn smikaw num ibmn nwl Bwg krnw is`kiey[auh iek c`kr ly ky iksy ivid, qon ies num A`Dy Bwg ivc vmfx num khygw[ (refer to annexure GG1) ausy c`kr num ivid. num coqy Bwg ivc vmfx num khygw[ swnum ikmny Bwg prwpq hoey? 6 3/2 swnum ikmny A`Dy Bwg prwpq hoey? Ans: 2 AsIM ies qrw ilk skdy hw 1 ½ =2 4 1 ¼=4 hux AiDAwpk d`sygw ik iksy purn smikaw num ie`k ibmn nwl Bwg krn lei aus purn smikaw num ibmn dy aultkrm nwl guxw kr idau[ 1 ½ =2 AsIM ies qrw vi kr skdy hw 1x = 2 1 ¼=4 1x =4 Awau hux pqw kriey ik 6 sm lmby grwp sitrp dy 1 ½ sm lmby ikmny Bwg ies ivcon k`ty jw skdy hn? 2 6 =6 x = =4 Bwg 1

11 Division of a fraction by a fraction Solving problems and Q & A session 5 min AiDAwpk AsIN ½ num ¼ nwl Bwg krn lei ie`k ikiraw kriey[ ie`k c`kr num pihlw ½ Bwg iv`c Aqy ipr ¼ BwgW iv`c vmfo[ A`Dy c`kr iv`c ikmny ¼ Bwg hn?(refer to activity GH1) 15 Home task 2-3 min ausy qrw iqmn coqwei Bwg iv`c ikmny ¼ Bwg hn? AiDAwpk d`sygw ik ie`k ibmn num dusri ibmn nwl Bwg krn lei AsIN pihli ibmn num dusri ibmn dy aultkrm nwl guxw krwgy[ AiDAwpk AiBAws iv`con prsn lyky ivid. di mdd nwl borf qy h`l krygw[ hryk grup num hyt id`qy gey toipk qy prsn bnwaux lei ikhw jwvygw: 1. do ibmnw di guxw Aqy Bwg 2. iehnw iv`con iek num ikiraw duawrw drswau[ 3. RUBRICS for presentation can be decided with the help of students. ½ ¼ Answer is 2 ¾ ¼ Ans 3 ½ ¼= x = =2 x = = = 3 Think, pair and share SYlI ApnweI jw skdi hy[ Probable Rubrics: Neatness Clarity Explanation Answers Sub section E.6 Minute to minute break up of period 6 Entry behavior of teacher AiDAwpk ivid. num LFT room iv`c ly ky jwvygw[aqy ivid. num d`isaw jwvygw ik pihlw ie`k viifau vyk ky duhrwei krvwei jwvygi Aqy ipr hryk grup 5-7 immt di ie`k presentation dyvygw[ Playing videos on all the four Videos on addition,(refer to GQ1) subtraction,

12 operations on fractions Presentation by groups multiplication and division will be displayed. 20 min hryk grup Awpxy vlon iqawr kiqi ikiraw explain krygw[ grup dy hryk ivid. di participation XkInI bnwaux lei AiDAwpk jryk ivid. qon prsn krygw[ (.GO1) AiDAwpk ies evaluation num FA1 dy mulwkx iv`c vrqygw[ Home task 2-3 min AiBAws ivcon prsn id`qy jwxgy[ Sub section E.7 Minute to minute break up of period 7 Entry behavior of teacher AiDAwpk Awpxy nwl v`k v~k vsqw dy KwlI rypr ilawvygw ijnw a`pr vsqw dy mu`l dsmlvw iv`c ilky hoxgy[ivid. qom ieh pvvwey jwxgy Aqy bb au`qy ilky 4/ jwxgy[ ies qo bwd ivid. num 1 x Aqy x di girf ivkwei jwvygi [ ivid. qon puic`aw jwvygw ik girf dw ikmnvw Bwg lwl hy? 22/0 dsmlv ki hn? Awa kuj hor AijhIAW ibmnw ilkiey ijnw dy hr dy guxj hox[ ivid. bb qy ilkxgy 23/0 4/ 456/ /00 Awid AiDAwpk d`sygw ik dsmlv auh ibmnw humdiaw hn ijnw dy hr dy guxj hox[ dsmlv num sqwnk mu`l swrxi rup min

13 iv`c drswauxw Awa sqwnk mu`lw di swrxi iqawr kriey[ Awa dsmlvw num SbdW iv`c ilkiey synkvw dhwei iekwei dsvw sovw hjwrvw ds hjwrvw ie`k so conqi Aqy s`q hjwrvyn dsmlvw di qulnw Home task min 2-3 min Awau hux dsmlvw di qulnw krni is`kiey do smikawvw 2.7 Aqy 2.07 iv`con ikhvi v`fi hy? do dsmlv smikawvw di qulnw krn lei AsIN sb qon pihlw dsmlv ibmdu dy K`by pwsy dy AMk qon SurU krdy hoey K`by pwsy dy AMkw di qulnw krdy hw [ ipr dsvyn sqwn qon SurU krdy hoey dsmlv ibmdu dy s`jy pwsy dy AMkW di qulnw krdy hw AiDApk ivid. num ie`k CpI hoei sqwnk mu`l swrxi dvygw Aqy AiBAws iv`con prsn id`qy jwxgy[ hryk gru`p AKbwr iv`co iek kitmg ilawvygw ijs iv`c ie`k dsmlv rwsi hjwrvw synkvw dhwei iekwei dsvw 2 7 sovw ies iv~c 2.7 v`fi hy hjwrvw ds hjwrvw ivid. ies SIt di vrqon krky dsmlvw di qulnw krngy[

14 ilki hovy

15 Sub section E.8 Minute to minute break up of period 8 Entry behavior of teacher Writing money in decimals AiDAwpk ivid. qom sqwnk mu`l swrxiaw iek`tiaw krygw[ Svwl krn dorin AweIAW musklw bwry discussion kiqi jwvygi[ hryk grup vlo ilawdi gei newspaper cutting collect iehnw kitmgj qo ivid. num dsmlvw di rojwnw jivn iv`c humdi vrqon bwry d`so[ Awau AsIN rupey pyisaw nmu dsmlvw iv`c ilkxw is`kiey iesy qrw 1 ru:= 0 pysy Bwv 1 pysw = 1 ru: dw 0 vw Bwg 1 pysw = 1/0 ru: 1 pysw = 0.01 r: 50 pysy num dsmlv rup iv`c ilkiey 50 pysy=50/0 rupey 50 pysy=0.50 rupey 235 pysy num dsmlv rup iv`c ilkiey 235 pysy= 235/0 rupey = 2.35 rupey Writing distances and weight in decimals Practicing decimals home task min 15 min 2-3 min AiDAwpk ivid qo pucygw: qusin Awpxy Gr lei ikmni sbji KrIddy ho? AiDAwpk ivid. num AiBAws dy bwki prsn krvweygw AiBAws dy bwki prsn Gr qon krn lei id`qy jwxgy[ hryk ivid. num Gr qon x diaw do girfw bxwaux lei ikhw jvygw[ ivid.v`k v`k aùqr dyxgy [ Fyf iklo,fwei iklo Fyf iklo= 1 iklo Aqy 500 grwm 1 iklo= 00 grwm 500 grwm= 500/00 iklogrwm 1 kg and 500 grams= Kg

16 Sub section E. 9Minute to minute break up of period 9 Entry behavior min AiDAwpk ivid. num pihlw of teacher bxwey gey grupw Anuswr bytx lei khygw[ hyt id`qy audwhrx lei jw skdi hy kl myn ie`k pynsl KrIdI ijs di kimq 3 ru: 25 pysy si[ies rwsi num dsmlv iv`c ikvyn ilkiey? AijhIAW 2 pynislw ikmny diaw hoxgiaw? ivid. di prsmsw krdy hoey AiDAwpk pucygw ik AijhIAW 7 pynislw ikmny diaw hoxgiaw? Students will do accordingly. ivid. bb qy ilkxgy 3.25 rupey kuj ivid, au`qr dy skxgy 6 ru: 50 pysy jw swfy Cy ru: 6.50 ru: hux Swied koei ivid. au`qr nhi dy pwvygw[ Multiplication of decimals AiDAwpk ivid. num d`sygw ik 6.25 x 7 dw mu`l pqw krnw pvygw [ Awau pihlw ie`k AYktIivtI nwl dsmlvw di guxw krni is`kiey[ AiDAwpk AYktIivtI (refer to annexture GA2 ) perform krvweygw[ Awau iehnw num ibmnw iv`c bdl ky guxw kriey[ hryk grup iv`c ie`k prsn idqw jwvygw Aqy AYktIivtI krky h`l l~bx num ikhw jwvygw[ a`qr borf qy drj kiqy jwxgy[ nqijy num generalize krky AiDAwpk d`sygw: do dsmlv smikawvw di guxw krn lei sb qon pihlw aunw num purn smikawvw dy rup iv`c guxw krygw[dovw dsmlv smikawvw iv`c dsmlv ibmdu dy s`jy pwsy AMkW di smikaw num igxo Aqy iehnw num jovo[ hux guxnpl iv`c s`jy pwsy qon SurU krky auprokq ivid. Gr qon bxweiaw girfw nil AYktIivtI krxgy[ nqijw bb qy ilikaw jwvygw[ 0.1x0.1= 1/ x / = 1/ dw 1/ 0.1x 0.1= x 0.1= 1/x1/=1/0= x0.3= x0.4= x0.4=0.08 o.3x0.5=0.15

17 Solving problems on multiplication of decimals jov ijmny AMk C`f ky dsmlv lgwau[ 15 min AiDAwpk AiBAws iv`con prsn lyky 2-3 borf qy hl krygw Aqy ausy qrw diaw hor svwl ivid. qonhl krvweygw[ Teacher can call students to solve it on BB. Home task 5 min Teacher will give Q: from exercise. Also students will be asked to attach the performed activity in their activity notebooks and write a short procedure accordingly. Sub section E. Minute to minute break up of period Entry behavior min AiDAwpk ivid. num k`l id`qi of teacher gei AYktIivtI ivkwaux lei khygw Aqy ivid. num AYktIivtI dw procedure dy styp ilkvweygw[ Multiplication decimals with, 0 and 00 Solving problems on multiplication of decimals AiDAwpk ivid. num d`sygw ik Awau AsIN dsmlv smikawvw num,0 Aqy 00 nwl guxw krky vykiey[ AiDAwpk generalize krygw: ie`k dsmlv smikaw num, 0 jw 00 nwl guxw krn lei AsIN aus smikaw iv`c dsmlv smikawvw iv`c dsmlv ibmdu num s`jy pwsy auny sqwn ikskwaundy hw ijmniaw 1 qon ielwvw isprw humdiaw hn[ 15 min AiDAwpk AiBAws iv`co. prsn lyky borf qy h`l krvweygw[ 0.56 x=(56/0)x=56/ = x0= 56.00= x00=560.00=560 Teacher can call students to solve it on BB. Home task 5 min Teacher will give Q: from exercise. AiDAwpk ivid. nmu AKbwr iv`con l`biaw dsmlv ivc

18 ilkiaw rwsiaw diaw kitmgz pyst krn lei khygw[ Sub section E. 11 Minute to minute break up of period 11 Entry behavior ivid. au`qr dyxgy 3 Bwg of teacher Critical Thinking Division of decimals Division of Decimals with, 0 and 00 Home task Taking Feedback from students min AiDAwpk ivid. num k`l id`qi gei AYktIivtI ivkwaux lei khygw [ auh audwhrn dyvygw ik aus kol ie`k 6 mi. lmbw irbn si[ ausdy 2 mi. lmby ikmny Bwg kiqy jw skdy hn? ivid. qon pùicaw jwvygw ik ausny ikvyn pqw kiqw [ AiDAwpk ivid. num SwbwS idmdy hoey d`sygw ik swnum ies qrwh dy prsnw iv`c Bwg krni s`b qon vdiaw humdi hy[ AiDAwpk ivid.. num ie`k hor audwhrn dyvygw ik jy aus kol ie`k 4.5 mi. lmbw irbn hovy qw ausdy 1.5 mi. lmby ikmny Bwg kiqy jw skdy hn? ivid. qon pùicaw jwvygw ik AsIN ikvyn pqw krwgy[ AiDAwpk ies qrwh dy 2-3 pr. hor krvweygw[ AiDAwpk ivid. num khygw ik AwE hux dsmlv smikaw num, 0 jw 00 nwl Bwg krky vykiey[ AiDAwpk generalize krygw: ie`k dsmlv smikaw num, 0 jw 00 nwl Bwg krn lei dsmlv smikaw iv`c dsmlv ibmdu num K`by pwsy aunhy sqwn ikskwaundy hw ijmniaw 1 qon ielwvw isprw humdiaw hn[ AiDAwpk ies qrwh dy 2-3 pr. hor krvweygw[ min AiDAwpk ivid. sticky notes dyvygw[auh b`icaw num d`sygw ik jykr ies pwt iv`c sb kuj smj ivc Aw igaw qw aus num ivid. v`k v`k au`qr dyxgy = 3 3x2 = = = 3 1 = = = = = = = = = = = dubwrw pwt Kws ivsw

19 ies not a`qy ilk ky hry c`kr a`qy pyst kr dyx[ jykr ies pwt iv`c ijhvw toipk nhin smj ivc AwieAw, aus num ies not a`qy ilk ky pily c`kr au`qy pyst kr dyx[ jykr ies pwt num dubwrw krn di lov hy qw aus num ies not a`qy ilk ky lwl c`kr a`qy pyst kr dyx[ AiDAwpk ivid. num cmgi qrwh d`sygw ik ies au`qy nw ilkx di lov nhin hy Aqy ieh kl piriaf SurU hox qon pihlw ieh pyst kr id`qy jwx[ Teacher will give Q: from exercise. Sub section E. 12 Minute to minute break up of period 12 Entry behavior min AiDAwpk ivid. v`lon pyst kiqy of teacher nots qon pqw kr skdw hy ik iks toipk num dubwrw krvwaux di lov hy Aqy iks di duhrwei krvwaux di lov hy [ Revision and Repetition 20 AiDAwpk ivid. v`lon kiqy gey pr. dy au. dvygw Aqy AiBAws dy bwki pr. krvweygw[ Home task min Teacher will give Q: from exercise. Section F. The content Subsection F.1 teachers.yale.edu Subsection F

20 constructivism approach Mathematics text book for class VII published by NCERT and PSEB Mathematics Exampler proplems published by NCERT Subsection F.3 Relevant youtube reference Section G. Listing of Possible Activities Group Activities / Individual activities /ICT activities/ experiments/ activity sheets to reinforce various concepts and skills must be tabulated as in the following example Name of the concept/ skill / outcome A. Introduction to the chapter Name of the possible activities Reference of the annexure where the details of the activity have been given in the already specified format or reference to the webaddress 1. lets multiply GA1 Teacher will use graph paper strips to show multiplication as addition. 4. Multiplication of GA2 decimals B. Sensitization about various career option C. Recap of the pre requisite knowledge 1. flash card Annexure GC1 2. fraction strips Annexure GC2 math.tutorvista.com 3.Model showing improper fractions 4.teacher will provide graph paper strips to all groups. First divide the strips in two parts and shade one Annexure GC3 teachers.yale.edu Annexure GC4 equivalent fraction

21 D. Concept1 (all concepts of building bridges) E. Concept2 Addition of fractions F.Concept 3 Multiplication of a fraction by a fraction G. concept 4 Division of whole number by a fraction H: Concept 5 Division of a fraction by another fraction part.(1/2) Then divide the same strip in 4 parts (2/4). Divide it again in 8 parts (4/8). WORKSHEETS AS HOMETASK IN PERIOD 1 Magic square Taking a graph paper strip (2x3). First divide it into three parts. Shade 1/3. Then fold it half (1/2). Hence we get 1/6. Take a circle, divide it into half by folding it. We get 2 parts. Dividing it into 1/4 give us 4 parts. Take a circle first divide it into two halves and then in one fourths, How many ¼ th are there in ½ part? Ans=2 GD1 teachers.yale.edu GE1 GF1 multiplying ½ and 1/3 GG1 Dividing I by ½. Dividing 1 by 1/4 (GH1) Dividing ½ by 1/4 N. Creative Writing skills O. Team skills Group presentation GO1 They will prepare activity in a group. P. Creativity Q. ICT skills Video on all operations GQ1 R. Presentation skills S. Research T.Vocabulary Presentation of activity GO1

22 Section H. Model assessment tools for the students Sub section H1: Following type of questions can be asked: Q1: ie`k kmry iv`c 3 myj lgy hn[pihly myj dy duawly 2 kursiaw, dusryy myj dy duawly 3 kursiaw Aqy qijy myj dy duawly 4 kursiaw r`kiaw hn[ hryk myj qy ie`ko ijhw kyk r`ikaw hoieaw hy[hr kyk dy aumny ih`sy krny hn, ijmniaw kursiaw aus dy duawly l`giaw hn[d`so ik qusin iks myj dy duawly bytnw psmd krogy Aqy ikaun? Q2: soniaw 2 ½ kg syb 0 ru: priq iklo dy ihswb nwl Aqy 1 ½ drjn kyly 40 r: priq drjn qy ijswb nwl KrIddI hy[d`so ausny kul ikmny pysy Krc kiqy? Q3 : ie`k ikawri 3 ¼ mi: lmbi Aqy 2 mi: covi hy[ ies dy duawly ikmny mi: lmbi vwv lgwauxi pvygi? Q4: gobi di kimq 20 ru: priq iklo si[ myn gobi dw ie`k Pu`l KrIidAw ijsdw Bwr 700 grwm si[ dukwndwr ny mynum ikhw ik iesdy 15 ru: dy idau[ ki ausny myry kolon TIk pysy mmgy? Q5 : XwsmIn num skul qon Gr AwaNudy hi bukwr ho igaw[ aus di mwqw ny QrmwmItr nwl qwpmwn cyk kiqw[ qwpmwn F si[ausdw qwpmwn sdwrx qwpmwn qon ikmnw v`d si? Q6: imnwksi ny 1 drjn kwpiaw ru: priq kwpi, ¾ drjn pyn 6.25 ru: priq pyn Aqy ½ drjn pyislw 1.75 ru: priq pynisl KrIddI hy[ auh dukwndwr num ku`l ikmny pysy dyvygi? Q7: bwl idvs mnwaux lei s`qvin jmwq dy ivid. ny ru: di imtwei Aqy 70 ru: di jus KrIidAw[ jykr jmwq dy 35 ivid. ny ie`ko ijhi rwsi iek`ti kiqi hovy qw hryk ivid. v`lon id`qi gei rwsi pqw kro[ Sub section H2: Q8: ies lvi dw Aglw AMk pqw kro: (a) 8,4,2,1,, (A) 60,30,15,, Q9: 8 ru: 8 pysy num dsmlv rup iv`c ilko[ Q: dw mu`l pqw kro[ Q: 11AsIN AijhIAW fraction riddles fwaunlof krskdy hw:

23 Q12: hyt id`qy kqn glq hv jw shi[ jy glq hy qw aus num shi kr ky ilko: 1. ie`k auicq ibmn dw aultkrm ie`k auicq ibmn humdi hy[ 2. 8 dw 2/3 = 8 2/3 3. do auicq ibmnw dw gunxpl iehnw dovyn ibmnw qon Cotw humdw hy[ 4. 3/7 Aqy 15/35 Asmwn ibmnw hn[ 5. qu`l ibmnw dy mu`l brwbr nhin humdy[ Q13: jykr ie`k ibmn dw AMS auhi rihx id`qw jwvy pr hr Gtw id`qw jwvy qw ies qrw prwpq ibmn pihli ibmn qon v`fi hovygi jw CotI? kwrx sihq au`qr ida[ Sub section H3: Following type of questions can be asked: Q14: 2x 3/5 num ikiraw nwl h`l kro[ Q15: hlvw bnwaux dy lei jruri cizw di mwqrw hyt ilky Anuswr hy: Awtw bysn igau cini pwxi 2/3 kp 1/3 kp 1 kp 3/4 kp 2 kp (a) jykr AsIN ies qon iqguxw hlvw bnwauxw hovy, aus lei ieh swrxi iqawr kro[ (b) jykr AsIN ies qon A`Dw hlvw bnwauxw hovy, aus lei ieh swrxi iqawr kro[ Q16: Fractions word puzzles: Start with the last 20/50 of table Add first 4/24 of anyone Add first 1/3 of velvet Add the first 5/15 or the last 7/21 of sis Sub section H4: Q17: KwlI QwvW Bro: 1. 5/7 ie`k ibmn hy[ 2. 7 ½ ie`k ibmn hy[ 3. 9/24 Aqy 3/8 ibmnw hn[ 4. do Axauicq ibmnw dw gunxpl dovyn ibmnw qon humdw hy[ 5. dw 1/ = hy[ Q18: ibm S au l t kr m p n F ic B jw l pu h e d q f hy h r zw ry g S D F q n r

24 t AM ho m ir X dy vw h S ly S l nu qu l ki C im l a v g E ies vrg phyli iv`c Sbd l`bo joik ibmnw Aqy dsmlv qy ADwirq hn[ Q19: KwlI QwvW Bro: 1. 5/7 ie`k ibmn hy[ 2. 7 ½ ie`k ibmn hy[ 3. 9/24 Aqy 3/8 ibmnw hn[ 4. do Axauicq ibmnw dw gunxpl dovyn ibmnw qon humdw hy[ 5. dw 1/ = hy[ Q20: iehnw iv`co sb qon v`fi smikaw ikhvi hy (1) (2) 1/00 (3) 0.0 x 0.0 (4) 1/ 0.1 Q21: 5/7 diaw 5 qu`l ibmnw ilko[ Q22: ikrkyt dy myc iv`c ilikaw humdw hy: auvr: 20.3 ki ieh 20 dsmlv 3 hy? AiDAwpk di mdd lau[ Q23. j`s Aqy Amn do dosq hn[dovw kol brwbr jmin hy[ j~s ny AwpxI jmin dy iqmn ih`sy krky 2 ih`syaw iv`c kxk bij id`qi Aqy Amn ny AwpxI jmin dy ih`sy krky 6 ih`syaw iv`c kxk bij id`qi[ie`k idn donw iv`c bihs ho gei ik iksny ijawdw kxk biji hy[ ki qusin iehnw di kuj mdd kr skdy ho? Q24 : ki quhwnum pqw hy ik cmdrmw qy jw ky iksy vsqu dw Bwr, aus vsqu dy DrqI qy Bwr qon 1/6 rih jwdw hy[ jykr qusi cmdrmw qy jwan qw quhwfw ikmnw Bwr rih jwvygw? Q25: ki ibmnw jw dsmlvw num AsIN iksy hor ivsy iv`c vi vrqdy hw? audwhrx l`b ky ilawau[ Section I. Model assessment tools for the teachers 1. ies ivsy num pvwaux iv`c sb qon vd muskl iks toipk iv`c AweI? 2. ki ivid. ies g`l num smj cu`ky hn ik 5/6 + 5/6 dw hl /12 nhin humdw? 3. ki grup ikiraw iv`c aus grup dy hryk ivid. ny Bwg ilaw hy? 4. ki ies AiDAwie num pvn qon bwd ivid. ies dy igawn num rojwnw jivn nwl jov sky hn? 5. ki ivid. Gr qon id`qw kmm krn iv`c spl ho rhy hn?

25 6. ki AsIN smyn qy PIfbYk ly ky aus num teaching learning process di byhqri lei vrq rhy hw? 7. ie`k ivid. bhuq vwr smjwax qo bwd vi svwl h`l nhin kr irhw, ies qrw dy hwlwq iv`c iek AiDAwpk ki kr skdw hy? 8. ies ivsy num byhqr qriky nwl pvwaux lei hor ki auprwly kiqy jw skdy hn? 9. ivid. ijawdwqr ikho ijhiaw glqiaw krdy hn?. ki AsIN ivid. num ies ivsy di mhq`qw d`sx iv`c spl rhy hw? 11. ki ivid. swfy kolon ibnw iksy ijjk jw fr qon prsn pu`c skdy hn? Annexure 1 Performa for giving details about an activity Annexure Name Name of the activity Specify the topic and its convergence (inter discipline) Type of the activity( individual activity/ group activity / home activity etc.) Material required for the activity Any specific preparations required in the class room for preforming the activity Details of the activity and detailed instructions to carry it out For all activities Graph paper stripes, scissors, colored pens, colored chalks Two circles Pictures describing the activity, if any Fraction is a part of whole

26 GC1 Fraction Strips GC2 Magic square Model for improper fractions

27 o Activity GA2 Lets multiply 0.1 x0.1 Take one x grid. Shade 1/ part of it.again divide this shaded portion into parts. And then put a red dot in 1/ part of it. Result is 1/0. Objective assessment of the learning 8. Question Hour : Children must be encouraged to ask questions in their groups and accordingly been answered by themselves.