7/31/2019 Tutorial Kids Pi Ration

1/200

Muf `ec uyufrld

@e 0 f 6: fdy

W e r y l h ?(6

7/31/2019 Tutorial Kids Pi Ration

2/200

Ir`lpdyAl`yzlrfpldh nf yl`d lyef`d# eyfrrdccf`d | idberilfcl{f`d zdr Lhyzlrfpldh Ydgp}fre# Lhi(

Iref`drey drlmlhfcey @dh Necgmdpp | Bdhf ]eypnfwer(

Merehpe `e zrd`uipdy Bemfh Burzn|# Clhhef Kdnhyydh(

Fhfclypf `e ylypebfy Kfia Oehhepp(Merehpey `e zrdmrfbfilh Yl` Yh|`er# Kfydh Ypfggdr`(

@lreipdrey pihlidy Kdnh Ynfhacfh`# @fwe Mdc`bfh(

Zrdmrfbf`drey Ypewe Oerhfr`# Blinfec Gf}wer# Bfra Gdrhlf# @fwe Mdc`bfh# Irflm Aebzer#Kdnh Ynfhacfh`# Yl` Yh|`er# Kfydh Ypfggdr`# ]|fpp ]eoo(

Merehpe `e Mfrfhpf `e cf ifcl`f`_linfr` Ypdhe(

@lreipdr `e Mfrfhpf `e cf ifcl`f`Aeh _ueiaerp(

Evulzd `e Mfrfhpf `e cf ifcl`f`Alb _uyyecc(

Ehifrmf`dy `e zrueofy Pe` Fyyur# Cdreh Ofrr# _|cfh` Oecc# Klb Icfrae# @fh Alra# Kfydh

Belh{er# Aelpn Blccer# @drhf Znlcclzy# F`rlfh Vufh# ]lcc _lce|# Fzrlc Yinugg# Erla ]lpafbz#@fwl` [upperbelyper(

@lyef`drey `e lhpergf{ | ybodcdy Mcehh Mreeh# Clhhef Kdnhyydh# Kdhfpnfh Bfler# Pndbfy]eoo(

Fupdrey `e fiplwl`f`ey | ekebzcdy Bfr| Infye# Clhhef Kdnhyydh# Odo Bf`fr(

Fupdrey `ec ylypebf `e f|u`f _eoeiif _u``# Clhhef Kdnhyydh(

Idcfodrf`drey fhperldrey Blinfec Oefce# Kdnh Irdbepp# Orf` @e]lpp# Ynfuhf Mdh{fcey(

?::5 Lhyzlrfpldh Ydgp}fre# Lhi( Pd`dy cdy `ereindy reyerwf`dy( Lhyzlrfpldh#Lhyzlrfpldh Ydgp}fre# Al`yzlrfpldh# YuzerMrduzer | cf bfrif `e `lyed `e Al`yzlrfpldhydh bfrify idberilfcey remlyprf`fy `e Lhyzlrfpldh Ydgp}fre# Lhi(

Zdrpldhy Idz|rlmnp 6

7/31/2019 Tutorial Kids Pi Ration

3/200

Idhpehl`d

l

Ifzpucd 6; Lhprd`uiilh (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 6

Cd huewd eh Al`yzlrfpldh ?&((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( ?

Lhypfcfr Al`yzlrfpldh ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( =

Lhyirlolr `e Al`yzlrfpldh (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 66

Fierif `ec yerwlild fc iclehpe `e Al`yzlrfpldh (((((((((((((((((((((((((((((((((((((((((((((((((((( 6?

Wer e lbzrlblr `diubehpdy `e Al`yzlrfpldh ((((((((((((((((((((((((((((((((((((((((((((((((((((((( 69

Vulpfr Al`yzlrfpldh ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 60

Ifzpucd ?; Guh`fbehpdy `e Al`yzlrfpldh (((((((((((((((((((((((((((((((((((((((((((((( 65

Lhlilfr | ierrfr Al`yzlrfpldh (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 65

Forlr uhf fiplwl`f`(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 67

Forlr uh zrd|eipd e~lypehpe(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 6=

Mufr`fr uh zrd|eipd ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 6>

Fierif `e Wlypf `e lbfmeh((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( 6Ceiilh orewe ?; Prfofkfr idh l`efy eh Wlypf `e eyirlpurf (((((((((((((((((((((((((((((((( 07Ceiilh orewe 9; Icfylstifr l`efy uyfh`d cf nerrfblehpf YuzerMrduzer (((((((( 5=Ceiilh orewe 0; Irefr fiplwl`f`ey uplcl{fh`d ec beh Zrdgeydr((((((((((((((((((((( 77

Ifzpucd 0; Prfofkfr eh Wlypf `e lbfmeh (((((((((((((((((((((((((((((((((((((((((((((((( =5

Prfofkfr idh l`efy wlyufcey (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( =5

Prfofkfr idh ybodcdy((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((( =7

@loukfr uh ybodcd uplcl{fh`d cf nerrfblehpf Iref`dr `e ybodcdy((((((((((((((( >9

Prfofkfr idh ehcfiey (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((

7/31/2019 Tutorial Kids Pi Ration

4/200

Idhpehl`dll

Ifzpucd 5; Prfofkfr eh Wlypf `e eyirlpurf(((((((((((((((((((((((((((((((((((((((((((( 6::# ?57 idcdrey

= BO `e eyzfild `lyzdhloce eh ec `lyid `urd1 95 BO zfrf cflhypfcfilh idbzcepf

Uhl`f` `e I@"_DB .hlifbehpe zfrf cf lhypfcfilh,

Dzildhfc;

Lbzreydrf idbzfploce idh Bfilhpdyn

E~zcdrf`dr `e Lhperhep

Blirgdhd

Zl{frrf eceiprhlif lhperfiplwf

7/31/2019 Tutorial Kids Pi Ration

14/200

Ifzpucd 6; Lhprd`uiilh>

]lh`d}y

Zrdieyf`dr 0>7 d yuzerldr

]lh`d}y # ?::: d ^Z .lhicuylwe Pfocep ZI E`lpldh,

5 BO `e eyzfild `lyzdhloce eh ec `lyid `urd1 ?: BO zfrf cf

lhypfcfilh idbzcepf > BO `e bebdrlf _FB

Zfhpfccf `e 70: ~ 0>:# ?57 idcdrey

Uhl`f` `e I@"_DB .hlifbehpe zfrf cf lhypfcfilh,

Dzildhfc;

Lbzreydrf idbzfploce idh ]lh`d}y

E~zcdrf`dr `e Lhperhep

Pfrkepf `e ydhl`d | fcpfwdiey

Blirgdhd

Zl{frrf eceiprhlif lhperfiplwf

Fierif `e cf fipufcl{filh `e uhf werylhfhperldr `e Al`yzlrfpldhIufh`d lhypfcf Al`yzlrfpldh ?# ypf hd ydoreyirloe hlhmuhfwerylh fhperldr `e Al`yzlrfpldh lhypfcf`f eh yu idbzupf`drf(Eypd ce zerblpe idhyerwfr cfy fiplwl`f`ey zerydhfcl{f`fy |

olocldpeify `e ybodcdy zerydhfcl{f`fy vue ye irefrdh eh cfwerylh fhperldr `e Al`yzlrfpldh(

@eyzuy `e lhypfcfr Al`yzlrfpldh ?# zue`e idzlfr cfy fiplwl`f`ey |olocldpeify `e ybodcdy zerydhfcl{f`fy `e cf werylh fhperldr `eAl`yzlrfpldh f cf ifrzepf `e Al`yzlrfpldh ?(

Idzle cfy olocldpeify `e ybodcdy `e cf werylh fhperldr `eAl`yzlrfpldh f uhf ifrzepf `ehprd `e cf ifrzepf `e Olocldpeify `eAl`yzlrfpldh( Zue`e idzlfr cfy olocldpeify f uhf ifrzepf e~lypehped f uhf ifrzepf vue uype` nf|f iref`d(

Idzle cfy fiplwl`f`ey `e cf werylh fhperldr `e Al`yzlrfpldh f cfifrzepf Fiplwl`f`ey `e Al`yzlrfpldh `ehprd `e cf ifrzepf `eAl`yzlrfpldh ?( @eyzuy `e nfoer idzlf`d cfy fiplwl`f`ey |olocldpeify vue `eyef idhyerwfr# zue`e `eylhypfcfr cf werylhfhperldr `e Al`yzlrfpldh(

7/31/2019 Tutorial Kids Pi Ration

15/200

Muf `ec uyufrld `e Al`yzlrfpldh

?( Eyirlof ec hdbore eh ec iuf`rd `dh`e ye ce lh`lif(

9( Zfrf ecemlr `h`e `eyef vue fzfre{if yu hdbore eh cf zmlhf#yeceiildhe L{vuler`f# Iehprd d @ereinf(

Ye bueyprf uhf wlypf zreclblhfr `e ibd fzfreier yu hdboreeh cf zmlhf eh ec iuf`rd f cf `ereinf `ec iuf`rd `e `lcdmd(

0( Nfmf icli eh Fiezpfr(

Mufr`fr uh zrd|eipd@eoerf mufr`fr yu prfofkd idh ilerpf greiuehilf zfrf ewlpfrzer`er iufcvuler ifbold refcl{f`d yl cf idbzupf`drf ye fzfmflheyzerf`fbehpe(

Zfrf mufr`fr uh zrd|eipd;6( Eh ec beh Frinlwd# nfmf icli eh Mufr`fr zfrf mufr`fr cdy

cplbdy ifboldy egeipuf`dy eh ec prfofkd(

Iufh`d mufr`e uh zrd|eipd zdr zrlberf we{# yeceiildhe cfifrzepf `dh`e `eyef mufr`frcd | eyirlof uh hdbore zfrf ecblybd(

Yl nf lhprd`uil`d ec hdbore `e uh eypu`lfhpe zfrf ec zrd|eipduplcl{fh`d cf nerrfblehpf Hdbore `ec eypu`lfhpe# ec hdbore`ec eypu`lfhpe ey ec hdbore `e frinlwd yumerl`d( Zue`e

ifbolfr ec hdbore yumerl`d yl cd `eyef(?( Eh ec iuf`rd `e `lcdmd Mufr`fr# nfmf icli eh Mufr`fr(

If`f we{ vue mufr`e uh zrd|eipd ye ce zremuhpfr yl `eyefreebzcf{fr ec frinlwd e~lypehpe( Nfmf icli eh _eebzcf{frzfrf mufr`fr ec zrd|eipd(

Mufr`fr uh zrd|eipd idh uh hdbore

`lgerehpe6( Eh ec beh Frinlwd# nfmf icli eh Mufr`fr(?( Yeceiildhe cf ifrzepf eh cf vue `eyef mufr`fr ec zrd|eipd(

9( Eyirlof uh hdbore huewd zfrf ec zrd|eipd | cuemd nfmf icli ehMufr`fr(

7/31/2019 Tutorial Kids Pi Ration

25/200

Muf `ec uyufrld `e Al`yzlrfpldh 6

Ceiilh orewe 6; Irefr uh `lfmrfbf ehWlypf `e lbfmeh

Eh eypf ceiilh irefr uh `lfmrfbf ccfbf`d Pd`d ydore buyfh`d ybodcdy# zfcforfy | ehcfiey( Fzreh`er f;

Lhlilfr Al`yzlrfpldh

Lhlilfr uh huewd `lfmrfbf

Fmremfr yu hdbore f uh zrd|eipd

Mufr`fr yu prfofkd

Fmremfr ybodcdy f uh `lfmrfbf

Uyfr cf zfcepf `e ybodcdy

Bdyprfr | diucpfr cdy ppucdy `e ybodcdy

@loukfr uh ybodcd uplcl{fh`d cf nerrfblehpf Iref`dr `eybodcdy

Bdwer ybodcdy

Ifbolfr cdy idcdrey `e cdy ybodcdy

_ecfildhfr ybodcdy be`lfhpe ehcfiey

Eclblhfr zfrpe `ec `lfmrfbf

Idrremlr uhf evulwdifilh

Ifbolfr ec fyzeipd `ec pe~pd uplcl{fh`d guehpe# pfbfd `ec

pe~pd | idcdr Ierrfr uh zrd|eipd | wdcwer fc Lhlild `e Al`yzlrfpldh

Lhlilfr Al`yzlrfpldhHdpf; Fhpey `e zd`er lhlilfr ec zrdmrfbf# `eoe lhypfcfrAl`yzlrfpldh( Yl fh hd nf lhypfcf`d Al`yzlrfpldh eh yuidbzupf`drf# idhyucpe Lhypfcfr Al`yzlrfpldh eh cf zmlhf =(

Zfrf lhlilfr Al`yzlrfpldh eh uhf idbzupf`drfBfilhpdyn;

Forf cf ifrzepf Al`yzlrfpldh ? | cuemd nfmf `doce icli eh eclidhd Al`yzlrfpldh(

7/31/2019 Tutorial Kids Pi Ration

35/200

Muf `ec uyufrld `e Al`yzlrfpldh ?

Fmremfr fhpedkdy f cf ifrf uplcl{fh`d cf nerrfblehpfEypfbzlccf

6( Eh cf Zfcepf `e nerrfblehpfy# nfmf icli eh cf nerrfblehpfEypfbzlccf(

?( Eh cf Zfcepf `e eypfbzlccfy# uplclie cf einf nfilf Frrlof dFofkd zfrf cdifcl{fr cdy fhpedkdy( Nfmf icli eh cf eypfbzlccf`e fhpedkdy(

9( Eh cf Zfcepf `e idcdr# nfmf icli eh uh idcdr zfrf cdy fhpedkdy(

0( Zfrf ifbolfr ec pfbfd `e cdy fhpedkdy# nfmf icli eh uhd `e cdyodpdhey `e Pfbfd(

5( Idcdvue ec zuhperd ydore cf ifrf zfrf wer uhf wlypf zreclblhfr`e cdy fhpedkdy(

7( Idcdvue cdy fhpedkdy `dh`e cdy vulere idcdifr eh cf ifrf |# f

idhplhufilh# nfmf icli zfrf fmremfr cdy fhpedkdy eh ec `loukd(Fndrf ec `loukd plehe ec ylmulehpe fyzeipd(

Zfrf yeceiildhfr uhf eypfbzlccf#nfmf icli eh cf zfcepf(

Zfrf wer byeypfbzlccfy# nfmficli eh cf einffrrlof d fofkd(

Zfrf ifbolfr ec pfbfd `e cfeypfbzlccf# nfmf icli eh ec odphZevued# Be`lfhd d Mrfh`e(

7/31/2019 Tutorial Kids Pi Ration

45/200

Muf `ec uyufrld `e Al`yzlrfpldh 9

6( Eh cf ofrrf `e nerrfblehpfy `e Eyirlpurf# nfmf icli eh ecodph Fmremfr l`ef(

?( Eyirlof cf zfcforf Zfz eh cf huewf l`ef(

Fndrf yu zrd|eipd nf `e peher ec ylmulehpe fyzeipd(

Zfrf fmremfr uhf huewf l`ef fuh zrd|eipd `e eyirlpurf# nfmficli eh ec odph Fmremfr l`ef(

7/31/2019 Tutorial Kids Pi Ration

55/200

Muf `ec uyufrld `e Al`yzlrfpldh 0

Mufr`fr ec prfofkdCf zrlberf we{ vue cd mufr`e `eoer eyirlolr uh hdbore zfrf eczrd|eipd(

6( Eh ec beh Frinlwd nfmf icli eh Mufr`fr(

?( Eh cf clypf `e ifrzepfy# nfmf icli eh cf vue `eyee zfrf mufr`frec zrd|eipd(

9( Eyirlof Ceiilh e YuzerMrduzer zfrf ec hdbore `eczrd|eipd | cuemd nfmf icli eh Mufr`fr(

Fmremfr uhf ifpemdrf `e YuzerMrduzerNf| wfrldy bd`dy `e fmremfr ifpemdrfy `e YuzerMrduzer f yuzrd|eipd(

6( Eh cf ofrrf `e nerrfblehpfy Lbfmeh# nfmf icli eh ec odphYuzerMrduzer(

?( Eh ec beh YuzerMrduzer# nfmf icli eh cf gdrbf `ereiphmucd `e YuzerMrduzer zfrf fmremfrcd f yu `lfmrfbf(

Cf huewf ifpemdrf `e YuzerMrduzer idhplehefupdbplifbehpe iufcvuler ybodcd yeceiildhf`deh eypeekebzcd# ec ybodcdL`ef zrlhilzfceh ec `lfmrfbf(

((( | cuemd nfmf iclieh cf gdrbf `eYuzerMrduzer(

Zfrf fmremfr uhf ifpemdrf `e YuzerMrduzer# nfmficli eh ec odph YuzerMrduzer

7/31/2019 Tutorial Kids Pi Ration

65/200

Muf `ec uyufrld `e Al`yzlrfpldh 5

Cf bfrif `e regerehilf bueyprf eh `h`e fzfreier ec huewdybodcd(

?( Eh cf Zfcepf `e ybodcdy# nfmf icli eh ec ybodcdOuroukfzfrf zehyfr zfrf fmremfrcf fc `lfmrfbf | cuemd eyirlofFzreh`er by ydore ecegfhpey eh Lhperhep(

9( Yeceiildhe ec pe~pdFzreh`er by ydore ecegfhpey eh Lhperhep(

0( Eh ec beh Zrdgeydr# nfmf icli eh ec Ehcfie f U_C(

Ec pe~pdFzreh`er by ydore ecegfhpey eh Lhperhepfzfreie ehec iuf`rd Pe~pd `e nlzerwhiucd(

5( Eh ec iuf`rd @lreiilh `e nlzerwhiucd# eyirlof}}}(}drc`}lc`clge(drm$yzeiley#| cuemd nfmf icli eh

Fiezpfr(Ec pe~pdFzreh`er by ydore ecegfhpey eh Lhperhepfndrf eypgdrbfpef`d idbd uh nlzerwhiucd(

Zue`e nfier icli eh ec ehcfie zfrf lhlilfr ec e~zcdrf`dr |`lrlmlrye fc ylpld ]eo(

7/31/2019 Tutorial Kids Pi Ration

75/200

Muf `ec uyufrld `e Al`yzlrfpldh 7( Zfrf eyfiplwfr cf nerrfblehpf Eyiuinfr# nfmf icli e huewd ehec odph Eyiuinfr(

Mrfofr zfcforfy d hfrrfilhZfrf f|u`fr f cdy hldy vue ye lhlilfh eh cf ceipurf# zue`e mrfofr

zfcforfy d hfrrfilh | fydilfrcdy f uh ybodcd(6( Yeceiildhe ec ybodcd Wer`f`ey ydore cdy ecegfhpey(

?( Eh ec beh Ydhl`d# nfmf icli eh Mrfofr(

9( Zfrf lhlilfr cf mrfofilh# nfmf icli eh ec odph Mrfofr(

Zfrf eyiuinfr cfy zfcforfy eh uh ybodcd#nfmf icli eh ec odph Eyiuinfr(

7/31/2019 Tutorial Kids Pi Ration

78/200

Ifzpucd 9; Iurylccd `e Al`yzlrfpldh=?

0( @lmf; Zue`ey ehidhprfr `fpdy ydore cdy nfolpfpy hfpurfcey `ecdy ecegfhpey4 Iufh`d perblhe `e mrfofr# nfmf icli eh ecodph Mufr`fr(

5( Zfrf rezrd`uilr cf mrfofilh# nfmf icli eh ec fcpfwd{ vueye ehiuehprf eh cf eyvulhf yuzerldr `ereinf `ec ybodcdWer`f`ey ydore ecegfhpey(

Lbzrlblr ec prfofkdIufh`d lbzrlbf `ey`e cf Wlypf `e lbfmeh# Al`yzlrfpldh fkuypfylebzre ec pfbfd `ec `lfmrfbf zfrf vue ehpre eh uhf zmlhf(

6( Eh ec beh Frinlwd nfmf icli eh Lbzrlblr(

?( Eh ec iuf`rd `e `lcdmd Lbzrlblr# nfmf icli eh Lbzrlblr(

Zfrf lhlilfr f mrf filh# fmf i lieh ec odph Mrfofr(

Zfrf mufr`fr cf mrfofilh | fydilfrcffc ybodcd# nfmf icli eh Mufr`fr(

Nfmf icli eh ec fcpfwd{zfrf rezrd`uilr uh ydhl`dmrfof`d(

7/31/2019 Tutorial Kids Pi Ration

79/200

Muf `ec uyufrld `e Al`yzlrfpldh =9

Mufr`fr uh zrd|eipd idbd uhf fiplwl`f`Fndrf vue bd`lsti ec `lfmrfbf Ilhid `fpdy# mur`ecd idbd uhffiplwl`f`( Ec Fylypehpe e fiplwl`f`ey e Al`yzlrfpldh ce muf zfydf zfyd f prfwy `ec zrdieyd `e irefilh `e uhf fiplwl`f`( Zue`emufr`fr cf fiplwl`f` eh iufcvuler zfrpe(

6( Eh ec beh Zrdgeydr# nfmf icli eh ec Mufr`fr idh Fylypehpe`e fiplwl`f`ey(

Ye fore ec Fylypehpe `e fiplwl`f`ey `e Al`yzlrfpldh( Nfmf iclieh Ylmulehpe(

?( Yeceiildhe Pd`fy cfy olocldpeify | cuemd nfmf icli ehYlmulehpe(

9( _ewlye cdy Wfcdrey zre`eperblhf`dy e cf Wlypf e lbfmeh |nfmf icli eh Ylmulehpe(

0( _ewlye cdy Wfcdrey zre`eperblhf`dy `ec pe~pd | nfmf icli ehYlmulehpe(

5( _ewlye cdy wfcdrey zre`eperblhf`dy `e Wlypf `e eyirlpurf |nfmf icli eh Ylmulehpe(

7( Yeceiildhe cf Ifrzepf `e fiplwl`f`ey `e Al`yzlrfpldh(

=( Zfrf mufr`fr cf fiplwl`f` eh cf ifpemdrf By eh ec Lhlild `eAl`yzlrfpldh# nfmf icli eh ec odph By(

>( Zfrf mufr`fr cf fiplwl`f`# nfmf icli eh ec odph Mufr`fr

fiplwl`f`(Wer`f`ey ydore cdy ecegfhpey eyp fndrf `lyzdhloce idbd uhffiplwl`f` eh ec Lhlild `e Al`yzlrfpldh ofkd cf ifpemdrf By(

7/31/2019 Tutorial Kids Pi Ration

80/200

Ifzpucd 9; Iurylccd `e Al`yzlrfpldh=0

7/31/2019 Tutorial Kids Pi Ration

81/200

=5

Ifzpucd 0; Prfofkfr eh Wlypf`e lbfmeh

Prfofkfr idh l`efy wlyufceyEh Wlypf `e lbfmeh# uype` uplcl{f ybodcdy zfrf bdyprfr cfy l`efy(Uplcl{f ehcfiey d ifpemdrfyYuzerMrduzer zfrf bdyprfr ibdu|eh | ye recfildhfh cfy l`efy( Uhf we{ vue nf fhdpf`d cfy l`efy#ey gilc dr`ehfrcfy# fmruzfrcfy | icfylstifrcfy( Pfbolh zue`efmremfr pe~pd f ybodcdy | ehcfiey( Al`yzlrfpldh ce dgreie buinfynerrfblehpfy zfrf f|u`frce f ifzpurfr | drmfhl{fr yuy l`efywlyufcbehpe(

Lhlilfr uh huewd `lfmrfbf6( Lhlile Al`yzlrfpldh(

d

Eh ec beh Frinlwd nfmf icli eh Huewd(

?( @eofkd `e Huewd# nfmf icli eh ec odph Lbfmeh(

7/31/2019 Tutorial Kids Pi Ration

82/200

Ifzpucd 0; Prfofkfr eh Wlypf `e lbfmeh=7

Prfofkfr idh ybodcdy

Fmremfr ybodcdy f uh `lfmrfbfNf| wfrldy bd`dy `e fmremfr ybodcdy f uh `lfmrfbf;

Zue`e fmremfr uh ybodcd uyfh`d cf Zfcepf `e ybodcdy(Frrfypre uh ybodcd `ey`e cf zfcepf zfrf fmremfrcd fc`lfmrfbf(

Zue`e fmremfr ybodcdy ehcf{f`dy uyfh`d cf nerrfblehpfFmremfr ybodcdy( Nfmf icli eh ec odph Fmremfr ybodcd ehcf ofrrf `e nerrfblehpfy Lbfmeh( Yl hd nf| hlhmh ybodcdyeceiildhf`d# nfier icli eh ec odph Fmremfr ybodcd fmremfuh ybodcd hd ehcf{f`d f yu `lfmrfbf(

@e cd idhprfrld# uh huewd ybodcd fzfreie ehcf{f`d fcybodcd yeceiildhf`d fipufcbehpe( Wuecwf f nfier icli eh ecodph Fmremfr ybodcd | fzfreier dprd ybodcd recfildhf`didh ec ybodcd yeceiildhf`d( Ylmf nfileh`d icli zfrf fmremfrpfhpdy ybodcdy idbd `eyee(

Zue`e nfier icli eh iufcvuler cumfr | eyirlolr(Fupdbplifbehpe fzfreier uh ybodcd idh cf l`ef(

Fmremfr uh ybodcd uyfh`d cf Zfcepf `eybodcdyUye cf Zfcepf `e ybodcdy zfrf fmremfr ybodcdy fc `lfmrfbf(

Zfrf fmremfr uh ybodcd uyfh`d cf Zfcepf `eybodcdy;

Frrfypre ec ybodcd nfypf ec `lfmrfbf(

Idhyekd; Zfrf ifbolfr cf gdrbf `e uh ybodcd# yeceiilhecd |cuemd nfmf icli eh uh huewd ybodcd `e cf Zfcepf `e ybodcdy(

7/31/2019 Tutorial Kids Pi Ration

83/200

Muf `ec uyufrld `e Al`yzlrfpldh ==

Fmremfr uh ybodcd uyfh`d cf nerrfblehpfFmremfr ybodcdUye cf nerrfblehpf Fmremfr ybodcd zfrf fmremfr ybodcdyehcf{f`dy eh uh `lfmrfbf( If`f ybodcd vue fmremf eyprecfildhf`d idh ec ybodcd yeceiildhf`d fipufcbehpe( Cfnerrfblehpf Fmremfr ybodcd ey bu| f`eiuf`f iufh`d vulerefmremfr uh hberd `e ybodcdy ehcf{f`dy f uhf l`ef `urfhpe uhzrdieyd `e pdrbehpf `e l`efy(

Zfrf fmremfr uh ybodcd uyfh`d cf nerrfblehpfFmremfr ybodcd;

6( Yeceiildhe ec ybodcd fc vue `eyef idheipfr ec huewd ybodcd(

?( Nfmf icli eh ec odph Fmremfr ybodcd eh cf ofrrf `enerrfblehpfy Lbfmeh(

d

Yl hd nf| hlhmh ybodcd yeceiildhf`d# nfmf icli eh ec odphFmremfr ybodcd zfrf ff`lr uhd huewd( Wuecwf f nfier iclieh ec odph Fmremfr ybodcd zfrf ff`lr uh ybodcdrecfildhf`d idh ec zrlberd(

Fmremfr uh ybodcd uplcl{fh`d fzuhpfr |eyirlolr Nfmf icli eh iufcvuler ylpld `ec gdh`d `ec `lfmrfbf |# f

idhplhufilh# eyirlof(

Ye iref `e bfherf fupdbplif uh ybodcd vue idhplehe ecpe~pd vue eyirlol(

Ifbold `e cf gdrbf `e uh ybodcd6( Yeceiildhe ec ybodcd vue `eyef ifbolfr(?( Eh cf Zfcepf `e ybodcdy# nfmf icli eh ec huewd ybodcd(

7/31/2019 Tutorial Kids Pi Ration

84/200

Ifzpucd 0; Prfofkfr eh Wlypf `e lbfmeh=>

Bdyprfr u diucpfr ppucdy `e ybodcdy eh cfWlypf `e lbfmehZfrf fmremfr e~lolcl`f` f yuy ceiildhey zue`e bdyprfr u diucpfrcdy ppucdy `e ybodcdy eh cf Wlypf `e lbfmeh(

Hdpf; Bdyprfr cfy eplvuepfy `e ppucdy eplvuepf pd`dy cdy ybodcdyeh uh `lfmrfbf(

Zfrf diucpfr cdy ppucdy `e ybodcdy eh cf Wlypf `elbfmeh;

Eh cf nerrfblehpf `e Gdrbfped# nfmf icli eh ec odph

Diucpfr ppucdy(

Zfrf bdyprfr cdy ppucdy `e ybodcdy eh cf Wlypf `eLbfmeh;

Eh cf nerrfblehpf `e Gdrbfped# nfmf icli eh ec odph

Bdyprfr ppucdy(

Fmremfr pe~pd f uh ybodcdFcmuhdy ybodcdy ydh gdrbfy# idbd uh iriucd d uh wfcd# vue ce

zerblpeh eyirlolr uhf l`ef eh ec lhperldr `ec ybodcd( F dprdyybodcdy ye cey `f ec ppucd idh eyzfild zfrf pe~pd `eofkd `ecblybd( Iufh`d yeceiildhf uh ybodcd# uhf chef `e prf{dy rd`efec ref `e pe~pd `ec blybd(

Idhyekd; Fc nfier icli `dy weiey eh ec odph Diucpfr$bdyprfrppucdy eh cf ofrrf `e nerrfblehpfy `e gdrbfped# ye eplvuepfh `ebfherf fupdbplif pd`dy cdy ybodcdy idh ppucdy(

7/31/2019 Tutorial Kids Pi Ration

85/200

Muf `ec uyufrld `e Al`yzlrfpldh =:

Bdwer uh ybodcd Zfrf bdwer uh ybodcd# frryprecd nfypf cf huewf uolifilh(

Pd`dy cdy ehcfiey recfildhf`dy fc ybodcd ye redrmfhl{frhfupdbplifbehpe(

Irefr uh ybodcd Zrdgeydr vue fzfre{if ycdeh cf Wlypf LbfmehZue`e gdrbfpefr uh ybodcd `e bfherf vue ycd fzfre{if eh cfWlypf `e lbfmeh( Eypd eclblhf cf prfhygerehilf `e lhgdrbfilhlrrecewfhpe f cf Wlypf `e Eyirlpurf( Zdr ekebzcd# zue`e irefrybodcdy vue idhpehmfh lhypruiildhey eh cf Wlypf e Lbfmeh# zerdhd `eyef vue cfy lhypruiildhey fzfre{ifh eh cf Wlypf `e Eyirlpurf(

Irefr uh ybodcd Zrdgeydr vue fzfre{if ycd eh cfWlypf `e lbfmeh;

6( Yeceiildhe ec ybodcd vue `eyef vue fzfre{if ycd eh cf Wlypf`e Lbfmeh(

?( Eh ec beh Zrdgeydr# nfmf icli eh Ybodcd Zrdgeydr(

Iufh`d ec ybodcd yeceiildhf`d ey uh Ybodcd Zrdgeydr#fzfreie uhf bfrif `e werlstifilh kuhpd fc idbfh`d(

Cfy eyvulhfy `ec Ybodcd Zrdgeydr ye weh fy (

Ocdvuefr cf zdylilh `e uh ybodcd

Zue`e ocdvuefr cf zdylilh `e uh ybodcd zfrf fyemurfrye vue cdyeypu`lfhpey hd buewfh# eclblheh d reebzcfieh zdr errdr cdyybodcdy eyzeistidy d cfy gdrbfy YuzerMrduzer( Iufh`d uhybodcd eyp ocdvuef`d pd`fwf zue`e gdrbfpefr ec ybodcd |e`lpfr ec pe~pd `ec blybd(

Cfy eyvulhfy eh uh yb d dlh`lifh iufh`d ey uh ybodcd `eZrdgeydr(

7/31/2019 Tutorial Kids Pi Ration

87/200

Muf `ec uyufrld `e Al`yzlrfpldh >6

Zfrf ocdvuefr cf zdylilh `e uh ybodcd;

6( Yeceiildhe ec ybodcd(

?( Eh ec beh Zrdgeydr# nfmf icli eh Ecebehpd ocdvuef`d(

Iufh`d uh ybodcd eyp ocdvuef`d fzfreie uhf bfrif `e

werlstifilh kuhpd fc idbfh`d(Iufh`d uh ybodcd eyp ocdvuef`d yuy eyvulhfy ye weh fy (

Iufh`d uhf gdrbf `e YuzerMrduzer eyp ocdvuef`f yuy

eyvulhfy ye weh fy (

Iufh`d uh ybodcd Zrdgeydr eyp ocdvuef`d yuy eyvulhfy ye

weh fy (

Fclhefr ybodcdy d gdrbfy YuzerMrduzer

Iufh`d eyp fkuypfh`d yu `lfmrfbf zue`e idhyl`erfr bu| plcfclhefr ybodcdy d gdrbfy YuzerMrduzer `e wfrlfy bfherfy(

Hdpf; Hd zue`e fclhefr ecebehpdy ocdvuef`dy(

Zfrf fclhefr ybodcdy d gdrbfy YuzerMrduzer;

6( Yeceiildhe cdy ybodcdy d gdrbfy YuzerMrduzer vue `eyeffclhefr(

@eoe yeceiildhfr zdr cd behdy `dy ybodcdy d gdrbfy

YuzerMrduzer zfrf vue ec idbfh`d Fclhefr eyp `lyzdhloce(?( Eh ec beh Zrdgeydr eclkf Fclhefr | f idhplhufilh nfmf iclieh ec fkuype vue `eyef(

If`f dzilh eh ec yuobeh Fclhefr bueyprf ibd yefclhefrh cdy dokepdy yeceiildhf`dy(

Cfy eyvulhfy eh uh ybodcdlh`lifh iufh`d ec ybodcd eypocdvuef`d(

7/31/2019 Tutorial Kids Pi Ration

88/200

Ifzpucd 0; Prfofkfr eh Wlypf `e lbfmeh>?

Cdy dokepdy ye refkuypfh zdr y ydcdy zfrf reekfr yuy dzildhey(

Idhyucpe pfbolh;

Yeceiildhfr wfrldy ybodcdy eh cf zmlhf 6:?(

Eyzfilfr ybodcdy d gdrbfy YuzerMrduzer `ebfherf uhlgdrbeUplclie ec idbfh`d Eyzfilf`d uhlgdrbe iufh`d `eyef uhfifhpl`f` zfrekf `e eyzfild ehpre ilerpdy ybodcdy d gdrbfyYuzerMrduzer(

Hdpf; Hd zue`e eyzfilfr `e bfherf uhlgdrbe ecebehpdyocdvuef`dy(

Zfrf eyzfilfr ybodcdy d gdrbfy YuzerMrduzer `e

bfherf uhlgdrbe;6( Yeceiildhe cdy ybodcdy d gdrbfy YuzerMrduzer vue `eyef

fkuypfr(

@eoe yeceiildhfr zdr cd behdy prey ybodcdy d gdrbfyYuzerMrduzer zfrf vue ec idbfh`d Eyzfilf`d uhlgdrbe eyp`lyzdhloce(

?( Eh ec beh Zrdgeydr# eclkf Eyzfilf`d uhlgdrbe | fidhplhufilh# refclie uhf `e cfy ylmulehpey fiildhey;

Nfmf icli eh Werplifc zfrf vue cf `lypfhilf werplifc ehpre cdyecebehpdy yeceiildhf`dy yef cf blybf(

d

Nfmf icli eh Ndrl{dhpfc zfrf vue cf `lypfhilf ndrl{dhpfcehpre cdy ecebehpdy yeceiildhf`dy yef cf blybf(

Idhyucpe pfbolh;

Yeceiildhfr wfrldy ybodcdy eh cf zmlhf 6:?(

7/31/2019 Tutorial Kids Pi Ration

89/200

Muf `ec uyufrld `e Al`yzlrfpldh >9

@loukfr uh ybodcd uplcl{fh`d cfnerrfblehpf Iref`dr `e ybodcdy

Zue`e uplcl{fr cf nerrfblehpf Iref`dr `e ybodcdy zfrf `loukfryuy zrdzldy ybodcdy( @eyzuy `e irefr uh ybodcd# zue`e

lhypfcfrcd eh cfy olocldpeify `e ybodcdy zfrf vue eyp `lyzdhlocezfrf dprdy zrd|eipdy(

Zfrf `loukfr uh ybodcd uplcl{fh`d cf nerrfblehpfIref`dr `e ybodcdy;

6( Nfmf icli eh ec odph Iref`dr `e ybodcdy eh cf ofrrf `enerrfblehpfy Lbfmeh(

Cf Zfcepf`e nerrfblehpfy ye ehiuehprf f cf l{vuler`f `eciuf`rd `e `lcdmd(

Cf Zfcepf`e idcdrey ye ehiuehprf f cf `ereinf `ec iuf`rd`e `lcdmd(

Ec ref `dh`e `loukf# ec cleh{d# eyp eh ec iehprd `ec iuf`rd`e `lcdmd(

Cf Zfcepf e zcublccfy .zfrf cfy nerrfblehpfy Ordinf# Cfpf

`e ferdydc# Chef# Iriucd | Iuf`rf`d, ye ehiuehprf eh cfzfrpe lhgerldr `ec iuf`rd `e `lcdmd(

7/31/2019 Tutorial Kids Pi Ration

90/200

Ifzpucd 0; Prfofkfr eh Wlypf `e lbfmeh>0

?( Zfrf yeceiildhfr uhf nerrfblehpf# nfmf icli ydore eccf eh cfZfcepf`e nerrfblehpfy(

Zfrf cfy nerrfblehpfy Ordinf# Cfpf `e ferdydc# Chef#Iriucd d iuf`rf`d# nfmf icli eh uhf zcublccf `e cf Zfcepf

`e zcublccfy zfrf `esthlr cf gdrbf | fhind `e cf chef( d

Zfrf cf nerrfblehpf Eypfbzlccf# nfmf icli eh uhf eypfbzlccfeh cf Zfcepf`e eypfbzlccfy(

9( Zfrf ecemlr uh idcdr zfrf cf nerrfblehpf yeceiildhf`f# nfmficli eh cf Zfcepf`e idcdrey(

0( @louke eh ec cleh{d fc frrfyprfr cf nerrfblehpf yeceiildhf`f(

5( Nfmf icli eh Fifof`d zfrf idcdifr ec huewd ybodcd eh ec`lfmrfbf(

@eyzuy `e fmremfr ec huewd ybodcd fc `lfmrfbf zue`enfierce ifboldy fc yeceiildhfrcd | nfier icli eh ec odphIref`dr `e ybodcdy eh cf ofrrf `e nerrfblehpfy Lbfmeh(Hdpf; Uhf we{ lhypfcf`f cf mrstif eh cfy olocldpeify `eybodcdy hd zue`e e`lpfrcf(

Nfmf i li eh uhfnerrfblehpf zfrfyeceiildhfrcf(

@l uke eh e leh{d( fmf i i eh uhidcdr zfrf cfnerrfblehpfyeceiildhf`f(

Nfmf icli eh uhf zcublccfzfrf `esthlr cf gdrbf |mrdydr `e cf chef(

Nfmf icli zfrffmremfr ec loukdfc `lfmrfbf(

7/31/2019 Tutorial Kids Pi Ration

91/200

Muf `ec uyufrld `e Al`yzlrfpldh >5

Idhyucpe pfbolh;

Lhyerpfr ybodcdy | mrstidy zerydhfcl{f`dy eh cfy olocldpeify `eybodcdy eh cf zmlhf 659(

Fierif `e cfy nerrfblehpfy `ec Iref`dr `eybodcdyEc Iref`dr `e ybodcdy `e Al`yzlrfpldh plehe nerrfblehpfy zfrfirefr yuy zrdzldy ybodcdy( Zue`e `loukfr uhf `lweryl`f` `echefy | gdrbfy# cuemd ccehfr cfy gdrbfy idh `lyplhpdy idcdrey(Zue`e uplcl{fr cf nerrfblehpf Eypfbzlccf zfrf fmremfr lbmehey#hberdy | ceprfy( @eyzuy `e irefr uh ybodcd# zue`e fmremfrcd fcf olocldpeif `e ybodcdy(

Uplclie eypf

nerrfblehpf (((

zfrf

Ordinf

@loukfr uhf chef `e gdrbf clore ycl`f(

Iuod `e zlhpurf

Ccehfr ec gdh`d d uh ref idhplmufeyzeistif `ec `loukd idh ec idcdryeceiildhf`d(

Cfpf `e ferdydc

@loukfr uhf chef `e gdrbf clore idh uh

`lyed `e zlhpurf eh ferdydc(

Chef

@loukfr uhf chef reipf ycl`f(

Iriucd

@loukfr ec idhpdrhd `e uh iriucd(

Iriucd ycl`d

@loukfr uh iriucd ycl`d(

7/31/2019 Tutorial Kids Pi Ration

92/200

Ifzpucd 0; Prfofkfr eh Wlypf `e lbfmeh>7

@loukfr chefy uplcl{fh`d cfy nerrfblehpfy `ecIref`dr `e ybodcdyZue`e loukfr uhf lweryl`f` e chefy uplcl{fh`d cfy nerrfblehpfy

`ec Iref`dr `e ybodcdy(

Iuf`rf`d

@loukfr ec idhpdrhd `e uh iuf`rf`d(

Iuf`rf`d ycl`d

@loukfr uh iuf`rf`d ycl`d(

Yeceiildhfr

Yeceiildhfr uhf yeiilh reipfhmucfr `ec`loukd( Zfrf bdwer cf yeceiilh# nfmf icli`ehprd `e cf yeceiilh | frrfypre(

Cf{d

Yeceiildhe zfrpe ec loukd( Zfrf bdwer cfyeceiilh# nfmf icli `ehprd `e cf yeceiilh| frrfypre(

Eypfbzlccf

Fmremfr uhf eypfbzlccf fc `loukd(

@eynfier

@eynfier cf cplbf fiilh(

Odrrf`dr

Eclblhfr zfrpe `ec `loukd(

Odrrfr pd`d

Eclblhfr pd`d eh ec `loukd(

7/31/2019 Tutorial Kids Pi Ration

93/200

Muf `ec uyufrld `e Al`yzlrfpldh >=

Zfrf `loukfr uhf stmurf `e gdrbf clore;

6( Eh cf Zfcepf `e nerrfblehpfy# nfmf icli eh cf nerrfblehpfOrdinf(

?( Eh cf Zfcepf `e zcublccfy nfmf icli eh cf gdrbf | fhind vue`eyef vue pehmf cf chef(

9( Eh cf Zfcepf `e idcdr# nfmf icli eh uh idcdr(

0( Eh ec cleh{d# nfmf icli `dh`e `eyef idbeh{fr |# fidhplhufilh# frrfypre( Yuecpe ec odph `ec rfph `dh`e `eyefvue perblhe cf chef(

Zfrf loukfr uhf chef e gdrbf clore idh uh lyed ezlhpurf eh ferdydc;

6( Eh cf Zfcepf`e nerrfblehpfy# nfmf icli eh cf nerrfblehpfCfpf `e ferdydc(

?( Eh cf Zfcepf`e zcublccfy nfmf icli eh cf gdrbf | fhind vue`eyef vue pehmf cf chef(

9( Eh cf Zfcepf `e idcdr# nfmf icli eh uh idcdr(

0( Eh ec cleh{d# nfmf icli `dh`e `eyef idbeh{fr |# fidhplhufilh# frrfypre( Yuecpe ec odph `ec rfph `dh`e `eyefvue perblhe cf chef(

Zfrf ecemlr cf gdrbf | mrdydr `e uhf chef# nfmficli eh uhf zcublccf eh cf Zfcepf `e zcublccfy(

7/31/2019 Tutorial Kids Pi Ration

94/200

Ifzpucd 0; Prfofkfr eh Wlypf `e lbfmeh>>

Zfrf `loukfr uhf chef reipf;

6( Eh cf Zfcepf`e nerrfblehpfy# nfmf icli eh cf nerrfblehpfChef(

?( Eh cf Zfcepf`e zcublccfy nfmf icli eh cf gdrbf | fhind vue`eyef vue pehmf cf chef(

9( Eh cf Zfcepf `e idcdr# nfmf icli eh uh idcdr(

0( Eh ec cleh{d# nfmf icli `dh`e `eyef idbeh{fr |# fidhplhufilh# frrfypre( Yuecpe ec odph `ec rfph `dh`e `eyefvue perblhe cf chef(

Zfrf clblpfr cf nerrfblehpf Chef f uh hmucd werplifc#ndrl{dhpfc d `e 05 mrf`dy# zreyldhe cf peicf Bf|yiucfyblehprfy `loukf cf chef(

@loukfr gdrbfy uplcl{fh`d cfy nerrfblehpfy`ec Iref`dr `e ybodcdyZue`e `loukfr iriucdy | iuf`rf`dy uplcl{fh`d cfy nerrfblehpfy`ec Iref`dr `e ybodcdy(

Zfrf `loukfr ec idhpdrhd `e uh iriucd;

6( Eh cf Zfcepf`e nerrfblehpfy# nfmf icli eh cf nerrfblehpf

Iriucd(

Zfrf ecemlr cf gdrbf | mrdydr `e uhf chef# nfmficli eh uhf zcublccf eh cf Zfcepf `e zcublccfy(

7/31/2019 Tutorial Kids Pi Ration

95/200

Muf `ec uyufrld `e Al`yzlrfpldh >

7/31/2019 Tutorial Kids Pi Ration

115/200

6:

Idhwerplr ec pe~pd eh hemrlpf6( Yeceiildhe ec ybodcd# ec ehcfie# cf l`ef d cfy zfcforfy vue

`eyef ifbolfr(

?( Eh cf ofrrf `e nerrfblehpfy `e Gdrbfped# nfmf icli eh (

Iufh`d yeceiildhf uh ybodcd# uh ehcfie d uhf l`ef | fzclifec gdrbfpd `e hemrlpf# ec ifbold ye fzclif f cdy huewdyybodcdy# ehcfiey e l`efy( Cdy huewdy ybodcdy | ehcfiey hdreyucpfrh fgeipf`dy zdr cdy ifboldy f gdrbfpd `e hemrlpfrefcl{f`dy eh yeceiildhey `e pe~pd `ehprd `e ybodcdy# ehcfieyd l`efy(

Idhwerplr ec pe~pd eh iurylwf

6( Yeceiildhe ec ybodcd# ec ehcfie# cf l`ef d cfy zfcforfy vue`eyef ifbolfr(

?( Eh cf ofrrf `e nerrfblehpfy `e Gdrbfped# nfmf icli eh (

Iufh`d yeceiildhf uh ybodcd# uh ehcfie d uhf l`ef | fzclifec gdrbfpd `e iurylwf# ec ifbold ye fzclif f cdy huewdyybodcdy# ehcfiey e l`efy( Cdy huewdy ybodcdy | ehcfiey hdreyucpfrh fgeipf`dy zdr cdy ifboldy `e gdrbfpd `e iurylwfrefcl{f`dy eh yeceiildhey `e pe~pd `ehprd `e ybodcdy# ehcfieyd l`efy(

Yuorf|fr pe~pd6( Yeceiildhe ec ybodcd# ec ehcfie# cf l`ef d cfy zfcforfy vue

`eyef ifbolfr(

?( Eh cf ofrrf `e nerrfblehpfy `e Gdrbfped# nfmf icli eh (

Iufh`d yeceiildhf uh ybodcd# uh ehcfie d uhf l`ef | fzclifec gdrbfpd yuorf|fr# ec ifbold ye fzclif f cdy huewdy

ybodcdy# ehcfiey e l`efy( Cdy huewdy ybodcdy | ehcfiey hdreyucpfrh fgeipf`dy zdr cdy ifboldy `e gdrbfpd yuorf|f`drefcl{f`dy eh yeceiildhey `e pe~pd `ehprd `e ybodcdy# ehcfieyd l`efy(

7/31/2019 Tutorial Kids Pi Ration

125/200

Muf `ec uyufrld `e Al`yzlrfpldh 66; Uyfr fu`ld eh zrd|eipdy69?

Ceer ec pe~pd eh cf lhpergf{ Al`yzlrfpldhCf idbzupf`drf cee pd`d ec pe~pd eh cf lhpergf{ `e Al`yzlrfpldh#lhicuyd behy# odpdhey | iuf`rdy `e `lcdmd# iufh`d cf lhpergf{ye fiplwf eh Dzildhey `e fzclifilh .nfmf icli eh Dzildhey `e

fzclifilh `ec beh Zrdgeydr,(

Ceer ec pe~pd eh cf lhpergf{ Al`yzlrfpldh

Yefce uh beh d odph(

Cf idbzupf`drf cee ec pe~pd `ec beh d odph(

Idhyucpe pfbolh

Fiplwfr d `eyfiplwfr cf lhpergf{ `e idhweryfilh eh cfzmlhf 60>(

Eyiuinfr ec pe~pd `e uh zrd|eipdCf nerrfblehpf Eyiuinfr ycd eyp `lyzdhloce iufh`d ye fiplwf ehDzildhey `e fzclifilh .nfmf icli eh Dzildhey `e fzclifilh `ecbeh Zrdgeydr,( Zue`e uyfr cf nerrfblehpf Eyiuinfr zfrf ceeriufcvuler pe~pd fmremf`d fc zrd|eipd# pfhpd eh Wlypf lbfmeh idbdeh Wlypf `e eyirlpurf(

Zfrf eyiuinfr ec pe~pd `e uh zrd|eipd;

6( Nfmf icli eh ec odph Eyiuinfr(

?( Nfmf icli eh ec dokepd vue `eyef vue cef cf idbzupf`drf(

9( Zfrf `eyfiplwfr cf nerrfblehpf Eyiuinfr# nfmf icli eh ec odphEyiuinfr(

Mrfofr ydhl`dy d zfcforfyZue`e mrfofr uh ydhl`d d zfcforfy | fydilfrcdy f uh ybodcd d fuhf l`ef zfrf fbzclfr | regdr{fr ec fzreh`l{fke( Ec idbfh`d `emrfofilh ycd eyp `lyzdhloce iufh`d eyp fiplwf`d Mrfofr

7/31/2019 Tutorial Kids Pi Ration

139/200

Muf `ec uyufrld `e Al`yzlrfpldh 699

ydhl`dy eh Dzildhey `e fzclifilh .nfmf icli eh Dzildhey `efzclifilh `ec beh Zrdgeydr,( Cf idbzupf`drf heieylpf uhblirgdhd zfrf mrfofr ydhl`dy(

Zfrf mrfofr uh ydhl`d d zfcforfy;

6( Yeceiildhe ec ybodcd d cf l`ef(?( Eh ec beh Ydhl`d# nfmf icli eh Mrfofr(

9( Eh ec iuf`rd `e bfh`dy `e mrfofilh nfmf icli eh Mrfofrzfrf lhlilfr cf mrfofilh(

0( Mehere ec ydhl`d vue `eyee mrfofr(

Cf `urfilh b~lbf `e uh ydhl`d mrfof`d ey `e vulhie

yemuh`dy( Eh iufcvuler bdbehpd zue`e nfier icli eh Zfrfrzfrf `epeher cf mrfofilh(

5( Iufh`d sthfclie cf mrfofilh# nfmf icli eh Mufr`fr zfrffcbfiehfr cf mrfofilh | fyilecf fc ybodcd d f cf l`ef vuenf|f yeceiildhf`d(

Eh Wlypf `e lbfmeh# eh ec hmucd yuzerldr `ereind `e uh ybodcd

fzfreie ec ybodcd `e uh fcpfwd{ iufh`d ye ce nf fydilf`duh ydhl`d mrfof`d( Eh Wlypf `e eyirlpurf# f cf l{vuler`f `e uhfl`ef fzfreie ec ybodcd `e uh fcpfwd{ iufh`d ye ce nf fydilf`d uhydhl`d mrfof`d(

Hdpf; Hd zue`e fydilfr uh ydhl`d mrfof`d f uh ehcfie(

Idhyucpe pfbolh

Fiplwfr d `eyfiplwfr uh ydhl`d mrfof`d eh cf zmlhf 60

7/31/2019 Tutorial Kids Pi Ration

140/200

Ifzpucd >; Uyfr fu`ld eh zrd|eipdy690

_ezrd`uilr uh ydhl`d mrfof`d Zfrf rezrd`uilr uh ydhl`d mrfof`d# nfmf icli eh ec fcpfwd{

`ec ybodcd d `e cf l`ef(

Odrrfr uh ydhl`d mrfof`d6( Yeceiildhe ec ybodcd d cf l`ef(

?( Eh ec beh Ydhl`d# nfmf icli eh Odrrfr(

7/31/2019 Tutorial Kids Pi Ration

141/200

7/31/2019 Tutorial Kids Pi Ration

142/200

Ifzpucd

7/31/2019 Tutorial Kids Pi Ration

143/200

Muf `ec uyufrld `e Al`yzlrfpldh 69=

Idhstmurfr cf drlehpfilh `e cf zmlhfZfrf uh zrd|eipd zue`e ecemlr cf drlehpfilh fzflyf`f d werplifc(Eh Wlypf `e lbfmeh# cf drlehpfilh zre`eperblhf`f ey cf fzflyf`fu ndrl{dhpfc( Eh Wlypf `e eyirlpurf# cf drlehpfilh zre`eperblhf`f

ey cf werplifc( Yl ifbolf cf drlehpfilh `e cf zmlhf eh uhf wlypf#ypf hd ifbolf eh cf dprf(

Zfrf idhstmurfr cf drlehpfilh `e cf zmlhf;

6( Eh ec beh Frinlwd# nfmf icli eh Idhstmurfr zmlhf(

?( Fc cf`d `e Drlehpfilh# nfmf icli eh ec lidhd Fzflyf`d dWerplifc .Bfilhpdyn,(

d

@eofkd `e Drlehpfilh# yeceiildhe Ndrl{dhpfc d Werplifc.]lh`d}y,(

Eypfoceier cf eyifcf `e uh zrd|eipd zfrflbzrlblrcd

Eh Wlypf `e lbfmeh# uh `lfmrfbf ylebzre ye lbzrlbe ydore uhfzmlhf( Hd zue`e bd`lstifr cf eyifcf `e uh `lfmrfbf ehAl`yzlrfpldh( Ylh ebofrmd# ey zdyloce ifbolfr ec pfbfd `e cf

zmlhf | cuemd `lyefr uh `lfmrfbf `e fiuer`d idh ec huewdpfbfd `e cf blybf(

Idhyucpe pfbolh

Yeceiildhfr ec pfbfd `ec zfzec eh cf zmlhf 697(

7/31/2019 Tutorial Kids Pi Ration

144/200

7/31/2019 Tutorial Kids Pi Ration

145/200

69( Yeceiildhe cf ifrzepf eh cf vue `eyef mufr`fr cf fiplwl`f`;

Yeceiildhe cf Ifrzepf Fiplwl`f`ey `e Al`yzlrfpldh zfrfmufr`fr cf fiplwl`f` eh cf blybf idbzupf`drf `dh`e yelhypfc ec zrdmrfbf Al`yzlrfpldh( Nfmf icli eh cf ifpemdrfeh cf vue `eyef vue fzfre{if cf fiplwl`f`# zdr ekebzcdIlehilfy |# f idhplhufilh# nfmf icli eh Mufr`frfiplwl`f`(

d

Yeceiildhe Dprf fiplwl`f` zfrf mufr`fr cf fiplwl`f` eh uhf

uolifilh vue hd yef cf idbzupf`drf `dh`e ye lhypfc eczrdmrfbf Al`yzlrfpldh# zdr ekebzcd# uh yerwl`dr( Nfmf iclieh Mufr`fr fiplwl`f`( Hfwemue f cf ifrzepf `dh`e `eyefmufr`fr cf fiplwl`f`(

Idhyekdy;

Zfydy huberf`dy; Buinfy fiplwl`f`ey `e Al`yzlrfpldhlhicu|eh lhypruiildhey zfyd f zfyd( Zfrf irefr zfydyhuberf`dy eh yuy fiplwl`f`ey# uye cdy ybodcdy huberf`dy `eHberdy | Ceprfy `e cf Zfcepf `e ybodcdy(

Ecebehpdy ocdvuef`dy; Idhmece cf zdylilh `e cdyecebehpdy# zdr ekebzcd gdrbfy YuzerMrduzer eh uhf fiplwl`f`uplcl{fh`d ec idbfh`d Ecebehpd ocdvuef`d eh ec behZrdgeydr( Cdy ecebehpdy ocdvuef`dy ewlpfh vue cdyeypu`lfhpey fiil`ehpfcbehpe buewfh# reebzcfieh d eclblhehybodcdy eyzeistidy d gdrbfy YuzerMrduzer(

Olocldpeif e ybodcdy zerydhfcl{f`f; Yl `eyef `lyzdher `eybodcdy eyzeistidy zfrf uhf fiplwl`f`# zue`e irefr uhfolocldpeif `e ybodcdy zerydhfcl{f`f vue idhpehmf cdy

ybodcdy vue vulerf | cuemd yeceiildhfr cf olocldpeifzerydhfcl{f`f idbd Olocldpeif zre`eperblhf`f zfrf cffiplwl`f`( Hdpf; Cf olocldpeif zerydhfcl{f`f `e ybodcdy ye`eoe idzlfr eh if`f idbzupf`drf(

Zuoclifr dzildhey; Eh ec Fylypehpe `e fiplwl`f`ey `eAl`yzlrfpldh yeceiildhe cfy dzildhey vue idhprdcfh ec fyzeipd

7/31/2019 Tutorial Kids Pi Ration

149/200

7/31/2019 Tutorial Kids Pi Ration

150/200

Ifzpucd 6:; Idhyucpf `ec zrdgeydr600

Zfrf vue cf olocldpeif eyp `lyzdhloce# nfmf icli eh cfclypf | f idhplhufilh nfmf icli eh Yeceiildhfr(

7( Yeceiildhe cfy idhstmurfildhey zre`eperblhf`fy vue `eyefzfrf cf fiplwl`f`(

=( Eh ec iuf`rd Hdbore`e cf fiplwl`f`# eyirlof uh hdbore zfrfcf fiplwl`f`(

>( Yeceiildhe cf ifrzepf eh cf vue `eyef mufr`fr cf fiplwl`f`;

Yeceiildhe cf Ifrzepf Fiplwl`f`ey `e Al`yzlrfpldh zfrfmufr`fr cf fiplwl`f` eh cf blybf idbzupf`drf `dh`e yelhypfc ec zrdmrfbf Al`yzlrfpldh( Nfmf icli eh cf ifpemdrfeh cf vue `eyef vue fzfre{if cf fiplwl`f`# zdr ekebzcdIlehilfy |# f idhplhufilh# nfmf icli eh Mufr`frfiplwl`f`(

d Yeceiildhe Dprf fiplwl`f` zfrf mufr`fr cf fiplwl`f` eh uhf

uolifilh vue hd yef cf idbzupf`drf `dh`e ye lhypfc eczrdmrfbf Al`yzlrfpldh# zdr ekebzcd# uh yerwl`dr( Nfmf iclieh Mufr`fr fiplwl`f`( Hfwemue f cf ifrzepf `dh`e `eyefmufr`fr cf fiplwl`f`(

Idhyekd; Yl `eyef `lyzdher `e ybodcdy eyzeistidy zfrf uhffiplwl`f`# zue`e irefr uhf olocldpeif `e ybodcdy zerydhfcl{f`fvue idhpehmf cdy ybodcdy vue vulerf | cuemd yeceiildhfr cf

olocldpeif zerydhfcl{f`f idbd Olocldpeif zre`eperblhf`f zfrf cffiplwl`f`(

Hdpf; Zfrf `lyprloulr uhf fiplwl`f` idh uhf olocldpeifzerydhfcl{f`f `e ybodcdy f wfrlfy idbzupf`drfy# pfbolh `eoeidzlfr ec frinlwd `e olocldpeif zerydhfcl{f`f f cf ifrzepfOlocldpeify `e Al`yzlrfpldh eh eypfy idbzupf`drfy(

Idhyucpe pfbolh;

Irefr uhf huewf olocldpeif `e ybodcdy eh cf zmlhf 67:(

Idbzfrplr uhf fiplwl`f` idh dprfidbzupf`drfE~lypeh dy gdrbfy e idbzfrplr uhf fiplwl`f` e yu idbzupf`drfidh buinfy idbzupf`drfy( Zue`e uplcl{fr ec Fylypehpe `e

7/31/2019 Tutorial Kids Pi Ration

151/200

7/31/2019 Tutorial Kids Pi Ration

152/200

Ifzpucd 6:; Idhyucpf `ec zrdgeydr607

Fmremfr uh nlzerwhiucd f uh pe~pdyeceiildhf`dZue`e fylmhfr nlzerwhiucdy f uh pe~pd yeceiildhf`d eh l`efy#hdpfy# ybodcdy | ehcfiey( Cdy nlzerwhiucdy eyph fiplwdy ehWlypf `e lbfmeh | Wlypf `e eyirlpurf( Eypd ce zerblpe irefrnlzerwhiucdy ylh cfrmdy hdborey irzplidy1 zdr ekebzcd# Ceerydore hueyprd zrd|eipd `e ilehilfy eh cumfr `enppz;$$}}}(lhyzlrfpldh(idb$eyzfhdc(

Zfrf fmremfr uh nlzerwhiucd f uh pe~pd yeceiildhf`d;

6( Yeceiildhe ec pe~pd fc vue `eyef fylmhfr ec nlzerwhiucd(

?( Fiplwe ec beh Zrdgeydr(

9( Eh ec beh Zrdgeydr# nfmf icli eh Ehcfie f U_C(

Ec pe~pd yeceiildhf`d fzfreie eh ec iuf`rd Pe~pd `enlzerwhiucd( Zue`e e`lpfr ec pe~pd yl cd `eyef(

0( Eh ec iuf`rd @lreiilh `e nlzerwhiucd# eyirlof cf `lreiilh`e Lhperhep vue `eyef fylmhfr fc pe~pd( Zdr ekebzcd;

nppz;$$}}}(lhyzlrfpldh(idb$eyzfhdc

Odrrfr uh nlzerwhiucd Yeceiildhe ec nlzerwhiucd | cuemd nfmf icli eh ec odph

Odrrfr(

d

6( Yeceiildhe ec pe~pd fc vue ye fylmhf cf `lreiilh `e Lhperhep(

?( Eh ec beh Zrdgeydr# nfmf icli eh Ehcfie f U_C(

9( Nfmf icli eh Eclblhfr nlzerwhiucd(

7/31/2019 Tutorial Kids Pi Ration

153/200

7/31/2019 Tutorial Kids Pi Ration

154/200

7/31/2019 Tutorial Kids Pi Ration

155/200

7/31/2019 Tutorial Kids Pi Ration

156/200

Ifzpucd 6:; Idhyucpf `ec zrdgeydr65:

Zfrf fiplwfr d `eyfiplwfr cf fhlbfilh;

6( Fiplwe ec beh Zrdgeydr(

?( Eh ec beh Zrdgeydr# nfmf icli eh Dzildhey `e fzclifilh(

9( Yeceiildhe d vulpe cf bfrif `e cf ifylccf `e werlstifilh `e

Fhlbfilh fiplwf`f(Idhyucpe pfbolh;

Lhyerpfr ybodcdy | mrstidy zerydhfcl{f`dy eh cfy olocldpeify `eybodcdy eh cf zmlhf 659(

Bdyprfr u diucpfr ec eyirlpdrldAl`yzlrfpldh lhicu|e uhf ifrfiperyplif `e eyirlpdrld diucpd(Ylrwe zfrf diucpfr ec eyzfild `e prfofkd `e cf idbzupf`drf `epry

`e Al`yzlrfpldh zfrf re`uilr fc bhlbd cfy zdylocey `lyprfiildhey| ewlpfr vue cdy eypu`lfhpey zue`fh yfclr ylh vuerer `eAl`yzlrfpldh( Eh fcmuhdy ifydy# pfc we{ `eyee vue ye bueypreh cdyzrdmrfbfy | frinlwdy `ec eyirlpdrld `e cf idbzupf`drf blehprfyguhildhf Al`yzlrfpldh1 zdr ekebzcd yl eyp fmremfh`d huewdyybodcdy f cfy olocldpeify `e ybodcdy(

Zfrf bdyprfr u diucpfr ec eyirlpdrld zreyehpe `epry `eAl`yzlrfpldh;

6( Fiplwe ec beh Zrdgeydr(

?( Eh ec beh Zrdgeydr# nfmf icli eh Dzildhey `e fzclifilh(

9( Yeceiildhe d vulpe cf bfrif `e cf ifylccf `e werlstifilh `eDiucpfr eyirlpdrld(

Fiplwfr d `eyfiplwfr ec rewlydr drpdmrstidZue`e uplcl{fr ec rewlydr drpdmrstid zfrf rewlyfr yu prfofkd(

Zfrf fiplwfr d `eyfiplwfr ec rewlydr drpdmrstid;

6( Fiplwe ec beh Zrdgeydr(

?( Eh ec beh Zrdgeydr# nfmf icli eh Dzildhey `e fzclifilh(

9( Yeceiildhe d vulpe cf bfrif `e cf ifylccf `e werlstifilh `e_ewlydr drpdmrstid fiplwf`d(

7/31/2019 Tutorial Kids Pi Ration

157/200

Muf `ec uyufrld `e Al`yzlrfpldh 656

Fiplwfr d `eyfiplwfr ehcfiey f U_CCdy ehcfiey f U_C ydh ehcfiey `e Lhperhep eh uh zrd|eipd `eAl`yzlrfpldh( Fc nfier icli eh uh ehcfie f U_C# ye lhlilf ece~zcdrf`dr `e Lhperhep | ye fore cf `lreiilh `e Lhperhep fydilf`f(Pfc we{ vulerf vue eh fcmuhdy ifydy cdy nlzerwhiucdy hd eyphfiplwdy( Zdr ekebzcd# iufh`d e`lpf `lreiildhey `e Lhperhep eh uhzrd|eipd d iufh`d hd vulere vue ec zrd|eipd zrdzdrildhe fiieydf Lhperhep(

Zfrf fiplwfr d `eyfiplwfr ehcfiey f U_C;

6( Fiplwe ec beh Zrdgeydr(

?( Eh ec beh Zrdgeydr# nfmf icli eh Dzildhey `e fzclifilh(

9( Yeceiildhe d vulpe cf bfrif `e cf ifylccf `e werlstifilh `e

Nlzerwhiucd fiplwd(

Gdrbfpefr fupdbplifbehpe cfy `lreiildhey`e Lhperhep idbd ehcfiey f U_CIufh`d eyirloe uhf `lreiilh `e Lhperhep eh uh zrd|eipd `eAl`yzlrfpldh# cf `lreiilh ye gdrbfpef fupdbplifbehpe idbd uhehcfie f U_C(

Zfrf fiplwfr d `eyfiplwfr ec gdrbfped fupdbplid `e

`lreiildhey `e Lhperhep;6( Fiplwe ec beh Zrdgeydr(

?( Eh ec beh Zrdgeydr# nfmf icli eh Dzildhey `e fzclifilh(

9( Yeceiildhe d vulpe cf bfrif `e cf ifylccf `e werlstifilh `eFupd`epeiilh `e ehcfiey f U_C(

Fiplwfr | `eyfiplwfr cf dzilh @e lbfmeh fpebfCf dzilh @e lbfmeh f pebf prfycf`f cfy eplvuepfy `e cdyybodcdy `e lbfmeh eh Wlypf `e lbfmeh f zfcforfy eh Wlypf `eeyirlpurf( Eypf idhstmurfilh eyp `lyef`f zfrf hldy vue yelhlilfh eh cf eyirlpurf(

7/31/2019 Tutorial Kids Pi Ration

158/200

7/31/2019 Tutorial Kids Pi Ration

159/200

Muf `ec uyufrld `e Al`yzlrfpldh 659

Prfofkfr idh cf olocldpeif `e ybodcdyCdy zrdgeydrey pleheh zcehd idhprdc `e cfy olocldpeify `e ybodcdy`e Al`yzlrfpldh( Ey gilc fmremfr# ifbolfr d eclblhfr ybodcdyyemh cfy heieyl`f`ey `e cf icfye( Pfc we{ `eyee irefr uhf

olocldpeif `e ybodcdy zerydhfcl{f`f zfrf uyfr eh uhf`eperblhf`f fiplwl`f` `e cf icfye vue nf|f iref`d(

Lhyerpfr ybodcdy | mrstidy zerydhfcl{f`dyeh cfy olocldpeify `e ybodcdyZue`e lhyerpfr ybodcdy | mrstidy zerydhfcl{f`dy eh olocldpeify`e ybodcdy zfrf vue eyph `lyzdhlocey remucfrbehpe( Nf| wfrldybd`dy `e lhyerpfr mrstidy eh cfy olocldpeify `e ybodcdy(

Lhyerpfr uh ybodcd d uh mrstid `ec `lfmrfbf eh uhfolocldpeif `e ybodcdy

Lhyerpfr frinlwdy mrstidy eh uhf olocldpeif `e ybodcdy

Idzlfr | zemfr uh mrstid eh uhf olocldpeif `e ybodcdy

Idhyucpe pfbolh;

Irefr uhf huewf olocldpeif `e ybodcdy eh cf zmlhf 67:(

Lhyerpfr uh ybodcd d uh mrstid `ec`lfmrfbf eh uhf olocldpeif `e ybodcdy6( Eh ec `lfmrfbf# yeceiildhe ec ybodcd d mrstid vue `eyef

lhyerpfr eh uhf olocldpeif `e ybodcdy(

?( Eh cf Zfcepf `e ybodcdy# wlyufclie cf olocldpeif eh cf vue`eyef fmremfr ec ybodcd(

Eh cf zfrpe lhgerldr `e cf olocldpeif `eoe nfoer eyzfild zfrfzd`er lhyerpfr ec ybodcd( Yl hd nf| eyzfild eh cf olocldpeif#Al`yzlrfpldh idcdif ec ybodcd eh cf ifpemdrf Zerydhfc(

9( Fiplwe ec beh Zrdgeydr(

0( Eh ec beh Zrdgeydr# nfmf icli eh Lhypfcfr ybodcd `euyufrld(

7/31/2019 Tutorial Kids Pi Ration

160/200

7/31/2019 Tutorial Kids Pi Ration

161/200

Muf `ec uyufrld `e Al`yzlrfpldh 655

0( Nfmf icli eh Lbzdrpfr mrstid(

5( Yeceiildhe ec mrstid vue `eyef lhypfcfr | cuemd nfmf icli ehForlr(

7( Yeceiildhe ec pfbfd vue `eyef zfrf ec ybodcd | cuemd nfmficli eh Fiezpfr(

Yeceiildhe Pfbfd `e ybodcd eyph`fr zfrf `frce uhpfbfd evulwfcehpe fc `e cdy dprdy ybodcdy `eAl`yzlrfpldh(

d

Yeceiildhe Pfbfd fipufc zfrf vue ec mrstid bfhpehmf yupfbfd drlmlhfc(

=( Eh ec iuf`rd Eplvuepf eyirlof uh hdbore zfrf ec ybodcd(

Uhf we{ lhypfcf`d ec ybodcd# fzfreie eh ec zrlber eyzfild

`lyzdhloce eh cfy ehprf`fy `e cf Olocldpeif `e ybodcdy( Fndrfeyp clypd zfrf yer uplcl{f`d(

Idhyekd; Pfbolh zue`e frrfyprfr | ydcpfr frinlwdy mrstidy ehuhf olocldpeif `e ybodcdy( Eh Bfilhpdyn zue`e frrfyprfr |idcdifr frinlwdy ZLIP# KZEM | MLG( Eh ]lh`d}y zue`e frrfyprfr| ydcpfr frinlwdy ]BG# OBZ# KZEM | MLG( Eh cf Zfcepf `eybodcdy# wlyufclie cf olocldpeif eh cf vue `eyef lhyerpfr ec mrstid| cuemd frrfypre ec frinlwd nfypf cf Zfcepf `e ybodcdy( Yl hd nf|eyzfild `lyzdhloce zfrf ec mrstid# Al`yzlrfpldh cd idcdif eh cf

ifpemdrf Zerydhfc idbd ye `eyirlol fhperldrbehpe( @eyfiplweDiucpfr eyirlpdrld eh Dzildhey `e fzclifilh .nfmf icli ehDzildhey `e fzclifilh `ec beh Zrdgeydr, fhpey `e frrfyprfr |ydcpfr uh frinlwd mrstid(

Idhyucpe pfbolh;

Irefr uhf huewf olocldpeif `e ybodcdy eh cf zmlhf 67:(

Idzlfr | zemfr uh mrstid eh uhf olocldpeif

`e ybodcdyZue`e idzlfr | zemfr mrstidy `e dprdy zrdmrfbfy eh cfyolocldpeify `e ybodcdy zfrf vue eyph `lyzdhlocey idbdybodcdy(

7/31/2019 Tutorial Kids Pi Ration

162/200

Ifzpucd 6:; Idhyucpf `ec zrdgeydr657

Zfrf idzlfr | zemfr uh mrstid eh uhf olocldpeif `eybodcdy;

6( Idzle ec mrstid(

?( Fiplwe ec beh Zrdgeydr eh Al`yzlrfpldh(

9( Eh ec beh Zrdgeydr# nfmf icli eh E`lpfr olocldpeif `eybodcdy(

0( Eh cf clypf `e cf l{vuler`f yeceiildhe cf olocldpeif eh cf vue`eyef lhyerpfr ec mrstid(

@eoe nfoer eyzfild eh cf zfrpe lhgerldr `e cf olocldpeif( Yl hdnf| eyzfild `lyzdhloce# Al`yzlrfpldh iref uhf huewf olocldpeifccfbf`f Uyufrld 6 eh cf ifpemdrf Zerydhfc( Iufh`d hd nf|eyzfild `lyzdhloce eh Uyufrld 6# Al`yzlrfpldh iref uhfolocldpeif Uyufrld ? | fy yuieylwfbehpe(

5( Nfmf icli eh Zemfr mrstid(7( Yeceiildhe ec pfbfd vue `eyef zfrf ec ybodcd | cuemd nfmf

icli eh Fiezpfr(

Yeceiildhe Pfbfd `e ybodcd eyph`fr zfrf `frce uhpfbfd evulwfcehpe fc `e cdy dprdy ybodcdy `eAl`yzlrfpldh(

d

Yeceiildhe Pfbfd fipufc zfrf vue ec mrstid bfhpehmf yupfbfd drlmlhfc(

=( Eh ec iuf`rd Eplvuepf eyirlof uh hdbore zfrf ec ybodcd(

Uhf we{ lhypfcf`d ec ybodcd# fzfreie eh ec zrlber eyzfild`lyzdhloce `e cf Olocldpeif `e ybodcdy( Fndrf eyp clypd zfrf yeruplcl{f`d(

Idzlfr uh ybodcd `e uhf olocldpeif f dprfZue`e idzlfr ybodcdy `e uhf olocldpeif f dprf( Cf olocldpeif ehcf vue idzlf ec ybodcd `eoe peher eyzfild `lyzdhloce zfrf ec

blybd( Ey plc idzlfr ybodcdy iufh`d `eyef irefr uhf olocldpeif`e ybodcdy idh cdy ybodcdy vue uyf greiuehpebehpe(

7/31/2019 Tutorial Kids Pi Ration

163/200

Muf `ec uyufrld `e Al`yzlrfpldh 65=

Zfrf idzlfr uh ybodcd `e uhf olocldpeif f dprf;

6( Eh ec beh Zrdgeydr# nfmf icli eh E`lpfr olocldpeif `eybodcdy(

Fzfreie ec iuf`rd `e `lcdmd E`lpfr olocldpeif `e ybodcdy(

?( Eh cf clypf `e cf l{vuler`f# yeceiildhe cf olocldpeif vueidhplehe ec ybodcd vue `eyef idzlfr(

9( Eh cf clypf `e cf `ereinf# yeceiildhe cf olocldpeif eh cf vue`eyef idzlfr ec ybodcd(

0( Yeceiildhe ec ybodcd vue `eyef idzlfr | cuemd frryprecdnfypf cf uolifilh vue `eyee eh dprf olocldpeif(

Eh cf huewf uolifilh fzfreie uhf idzlf `ec ybodcd(

5( Eh ec iuf`rd Eplvuepf eyirlof uh hdbore zfrf ec ybodcd(

7( _efclie fcmuhf `e cfy ylmulehpey fiildhey; Zfrf fzclifr cdy ifboldy# nfmf icli ehFiezpfr(

d

Zfrf fhucfr cdy ifboldy# nfmf icli eh Ifhiecfr(

Idhyekd; Pfbolh zue`e ifbolfr ec dr`eh `e cdy ybodcdy`ehprd `e uhf olocldpeif( Frrfypre uh ybodcd zfrf prfycf`frcd fuhf huewf uolifilh( Cdy dprdy ybodcdy ye redr`ehfhfupdbplifbehpe(

Odrrfr uh ybodcd `e uhf olocldpeifIufh`d odrrf uh ybodcd `e uhf olocldpeif# |f hd zue`euplcl{frcd by eh cdy zrd|eipdy(

Zfrf odrrfr uh ybodcd `e uhf olocldpeif;

6( Eh ec beh Zrdgeydr# nfmf icli eh E`lpfr olocldpeif `eybodcdy(

Fzfreie ec iuf`rd `e `lcdmd E`lpfr olocldpeif `e ybodcdy(

?( \f yef eh cf clypf `e cf l{vuler`f d `e cf `ereinf# yeceiildhe cfolocldpeif vue idhplehe ec ybodcd vue `eyef idzlfr(

Uh ybodcd hd ye zue`e odrrfr yl fzfreie eh uh zrd|eipd vueeyp folerpd(

7/31/2019 Tutorial Kids Pi Ration

164/200

7/31/2019 Tutorial Kids Pi Ration

165/200

7/31/2019 Tutorial Kids Pi Ration

166/200

7/31/2019 Tutorial Kids Pi Ration

167/200

7/31/2019 Tutorial Kids Pi Ration

168/200

7/31/2019 Tutorial Kids Pi Ration

169/200

Muf `ec uyufrld `e Al`yzlrfpldh 679

Forlr uh `diubehpd `e LhyzlrfpldhAl`yzlrfpldh ? zue`e forlr cdy `diubehpdy iref`dy uplcl{fh`dLhyzlrfpldh = | weryldhey zdyperldrey `e Lhyzlrfpldh( Fc forlr uh`diubehpd `e Lhyzlrfpldh zue`e zer`er ecebehpdy | ec gdrbfpd`ec blybd(

Hdpf; Hd zue`e forlr uh `diubehpd `e Lhyzlrfpldh idh by `e`le{ hlwecey `e pebfy(

Zfrf forlr uh `diubehpd `e Lhyzlrfpldh;

6( Eh ec beh Frinlwd# nfmf icli eh Forlr(

?( Eh ec iuf`rd `e `lcdmd Forlr# hfwemfr fc frinlwd `eLhyzlrfpldh | cuemd nfmf icli eh Forlr(

Ec `diubehpd `e Lhyzlrfpldh fore uh `diubehpd ylh ppucd(

Zuoclifr uh zrd|eipd eh uh zrdieyf`dr`e zfcforfy

Zue`e uplcl{fr cf nerrfblehpf Zuoclifr zfrf prfhygerlr uh zrd|eipd`e Wlypf `e eyirlpurf f ]dr` `e Blirdydgp# Fzzce]dray d IcfweyYindcfypli( Zue`e idhprdcfr ibd ye zuoclifh cdy zrd|eipdyuplcl{fh`d Zuoclifr dzildhey .nfmf icli eh Zuoclifr dzildhey eh

ec beh Zrdgeydr,( Pfbolh zue`e idhstmurfr Zuoclifr dzildheyiufh`d eclme cfy idhstmurfildhey zre`eperblhf`fy zfrf uhzrd|eipd | iufh`d mufr`f uh zrd|eipd idbd uhf fiplwl`f`(

Eh ec `diubehpd `ec zrdieyf`dr `e zfcforfy# cfy l`efy | ec pe~pd`e hdpfy fzfreie eh chefy yezfrf`fy ylh yfhmrf( Cfy l`efy plehehec pfbfd `ec pe~pd `e cf guehpe zre`eperblhf`f `e cf Wlypf `eeyirlpurf idh gdrbfpd `e hemrlpfy( Cfy hdpfy ydh `ec pfbfd `epe~pd `e cf guehpe zre`eperblhf`f `e cf Wlypf `e eyirlpurf( Uhfchef eh ocfhid fzfreie ehpre if`f pfrkepf `e hdpfy(

7/31/2019 Tutorial Kids Pi Ration

170/200

Ifzpucd 6:; Idhyucpf `ec zrdgeydr670

Zfrf zuoclifr uh zrd|eipd eh uh zrdieyf`dr `ezfcforfy;

Eh cf ofrrf `e nerrfblehpfy `e Gdrbfped# nfmf icli eh ecodph Zuoclifr(

Ec zrd|eipd `e Al`yzlrfpldh ye prfhystere fc `diubehpd `eczrdieyf`dr `e zfcforfy( Ec zrdieyf`dr `e zfcforfy zregerl`dlhlilf | fore ec `diubehpd(

Ec `diubehpd `ec zrdieyf`dr `e zfcforfy ye mufr`f eh uhf `ecfy ylmulehpey uolifildhey;

Yl mufr`f ec zrd|eipd `e Al`yzlrfpldh fhpey `e zuoclifrcd#

ec `diubehpd `ec zrdieyf`dr `e zfcforfy ye mufr`f eh cfblybf ifrzepf `ec zrd|eipd `e Al`yzlrfpldh(

d

Yl hd mufr`f ec zrd|eipd `e Al`yzlrfpldh fhpey `ezuoclifrcd# ec `diubehpd `ec zrdieyf`dr `e zfcforfy yemufr`f eh cf ifrzepf @diubehpdy `ec uyufrld .Bfi DY ^,#cf ifrzepf @diubehpdy zrlhilzfcey .Bfi DY

7/31/2019 Tutorial Kids Pi Ration

171/200

7/31/2019 Tutorial Kids Pi Ration

172/200

Ifzpucd 6:; Idhyucpf `ec zrdgeydr677

MLG Mufr`f ec `lfmrfbf idbd uh mrstid `e ?57 idcdrey vuezue`e forlrye eh zrdmrfbfy `e mrstidy# zreyehpfildhey#idbzdylilh `e zmlhfy d zmlhfy ]eo(

NPBC Mufr`f uh `lfmrfbf idbd uh `diubehpd NPBCvue zue`e wlyufcl{frye eh Lhperhep( Ec `lfmrfbf ye nfie by

zevued zfrf vue fkuype eh uhf zfhpfccf `e 70: z~ecey `efhind( Cf fcpurf ye fkuypf zrdzdrildhfcbehpe( Pd`dy cdynlzerwhiucdy `ec `lfmrfbf ye lhicu|eh idbd nlzerwhiucdy ehec `diubehpd NPBC( Eypf e~zdrpfilh iref `dy frinlwdy; uhfrinlwd NPB | dprd MLG( Fbody frinlwdy `eoeh zerbfheierkuhpdy zfrf wlyufcl{fr ec frinlwd NPBC eh uh e~zcdrf`dr(

Eh Wlypf `e lbfmeh zue`e mufr`fr uh zrd|eipd eh cdyylmulehpey gdrbfpdy `e frinlwd;

Pe~pd ylh gdrbfpd Mufr`f uh zrd|eipd `e eyirlpurf idbd uh`diubehpd `e ycd pe~pd .ylh gdrbfpd, idh hlwecey `eceyvuebf(

Fzzce ]dray ._PG, Mufr`f uh zrd|eipd `e eyirlpurf idbduh `diubehpd gdrbfpef`d vue zue`e forlrye idh Fzzce]dray(

Blirdydgp ]dr` ._PG, Mufr`f uh zrd|eipd `e eyirlpurfidbd uh `diubehpd gdrbfpef`d vue zue`e forlrye idhBlirdydgp ]dr`( Fc forlr uh `diubehpd eh ]dr`# zue`efzfreier uh iuf`rd `e `lcdmd eh ec vue ye ce zremuhpe yl `eyef

idhwerplr cdy `fpdy _PG( Nfmf icli eh Y zfrf forlr ec`diubehpd gdrbfpef`d(

NPBC Mufr`f uh zrd|eipd `e eyirlpurf idbd uh `diubehpdNPBC `e uhf zmlhf vue zue`e forlrye idh uh e~zcdrf`dr `eLhperhep( Fc mufr`fr uh zrd|eipd `e eyirlpurf idbd uh`diubehpd NPBC `e uhf zmlhf# ec pe~pd vue lhprd`ukd eh eciuf`rd `e `lcdmd Hdbore `ec eypu`lfhpe ye idhwlerpe eh ecppucd `ec `diubehpd NPBC( Ec ppucd `e cf zmlhf fzfreie ehceprfy mrfh`ey eh cf zfrpe yuzerldr `e cf zmlhf( Cfy l`efy | cfyhdpfy fzfreieh idbd ec iuerzd `ec `diubehpd( Fc sthfc `e cfzmlhf fzfreie uh ehcfie zfrf Wdcwer fc zrlhilzld( Fc nfiericli eh Wdcwer fc zrlhilzld remreyf f cf zfrpe yuzerldr `e cfzmlhf( Pd`dy cdy nlzerwhiucdy `ec zrd|eipd `e eyirlpurf yeidhyerwfh eh ec `diubehpd NPBC(

7/31/2019 Tutorial Kids Pi Ration

173/200

Muf `ec uyufrld `e Al`yzlrfpldh 67=

Mufr`fr uh `diubehpd eh ec gdrbfpd `eAl`yzlrfpldh 6Zue`e mufr`fr cdy zrd|eipdy | fiplwl`f`ey `e Al`yzlrfpldh ? eh ecgdrbfpd Al`yzlrfpldh 6 `e bfherf vue zue`f forlrcdy uplcl{fh`dAl`yzlrfpldh 6( Iufh`d mufr`f uh `diubehpd idbdAl`yzlrfpldh 6# zue`e zer`er ecebehpdy | ec gdrbfpd `ec`diubehpd(

Zfrf mufr`fr uh `diubehpd eh ec gdrbfpd `eAl`yzlrfpldh 6;

6( Eh ec beh Frinlwd nfmf icli eh Mufr`fr(

?( Eh ec beh Gdrbfpd# nfmf icli eh @diubehpd `eAl`yzlrfpldh 6 | f idhplhufilh nfmf icli eh Mufr`fr(

9( Zfrf vue uhf fiplwl`f` eyp `lyzdhloce eh Al`yzlrfpldh 6#buewf ec frinlwd `e fiplwl`f`ey f cf ifrzepf Fiplwl`f`ey `eAl`yzlrfpldh 6(

Mufr`fr uh `lfmrfbf idbd uh mrstid6( Forf ec `lfmrfbf(

?( Eh ec beh Frinlwd# nfmf icli eh E~zdrpfr(

9( Yeceiildhe ec gdrbfpd `e frinlwd vue `eyef |# f idhplhufilh#

nfmf icli eh Mufr`fr(0( Yeceiildhe cf ifrzepf eh cf vue `eyef mufr`fr ec frinlwd(

5( Eyirlof uh hdbore zfrf ec frinlwd(

Al`yzlrfpldh uplcl{f `e bfherf fupdbplif ec pe~pd vuelhprd`ukd eh ec iuf`rd `e `lcdmd Hdbore `ec eypu`lfhpe idbdec hdbore | fylmhf cf e~pehylh fzrdzlf`f( Zue`e ifbolfr echdbore `ec frinlwd yl cd `eyef(

7( Nfmf icli eh Mufr`fr(

Idhyucpe pfbolh;

Fmremfr yu hdbore f uh zrd|eipd eh cf zmlhf 6=(

Mufr`fr zrd|eipdy eh dprdy gdrbfpdy `e frinlwdy eh cfzmlhf 675(

7/31/2019 Tutorial Kids Pi Ration

174/200

Ifzpucd 6:; Idhyucpf `ec zrdgeydr67>

Mufr`fr `lfmrfbfy idbd uh `diubehpdNPBCEy zdyloce mufr`fr uh `lfmrfbf idbd uh `diubehpd NPBC `euhf zmlhf vue zue`e forlrye idh uh e~zcdrf`dr `e Lhperhep(

Zfrf mufr`fr `lfmrfbfy idbd uh `diubehpd NPBC;6( Forf ec `lfmrfbf(

?( Eh ec beh Frinlwd# nfmf icli eh E~zdrpfr(

9( Yeceiildhe NPBC | cuemd nfmf icli eh Mufr`fr(

0( Yeceiildhe cf ifrzepf eh cf vue `eyef mufr`fr ec `diubehpd(

5( Eyirlof uh hdbore zfrf ec `diubehpd(

Al`yzlrfpldh uplcl{f `e bfherf fupdbplif ec pe~pd vuelhprd`ukd eh ec iuf`rd `e `lcdmd Hdbore `ec eypu`lfhpe idbd

ec hdbore | fylmhf cf e~pehylh fzrdzlf`f( Zue`e ifbolfr echdbore `ec frinlwd yl cd `eyef(

7( Nfmf icli eh Mufr`fr(

Cf e~zdrpfilh NPBC iref `dy frinlwdy; uh frinlwd NPB |dprd MLG( Ec frinlwd MLG fzfreie eh cf blybf uolifilh vue ecfrinlwd NPB( Fbody frinlwdy `eoeh zerbfheier kuhpdy zfrfwlyufcl{fr ec frinlwd NPBC eh uh e~zcdrf`dr(

Idhyucpe pfbolh;

Fmremfr yu hdbore f uh zrd|eipd eh cf zmlhf 6=(

Mufr`fr uh zrd|eipd `e eyirlpurf idbd uh`diubehpd NPBCEy zdyloce mufr`fr uh zrd|eipd eh Wlypf `e eyirlpurf idbd uh`diubehpd NPBC `e uhf zmlhf vue zue`e forlrye idh uhe~zcdrf`dr ]eo(

Fc mufr`fr uh zrd|eipd `e eyirlpurf idbd uh `diubehpd NPBC`e uhf zmlhf# ec pe~pd vue lhprd`ukd eh ec iuf`rd `e `lcdmdHdbore `ec eypu`lfhpe ye idhwlerpe eh ec ppucd `ec `diubehpd

NPBC( Ec ppucd `e cf zmlhf fzfreie eh ceprfy mrfh`ey eh cf zfrpeyuzerldr `e cf zmlhf( Cfy l`efy | cfy hdpfy fzfreieh idbd eciuerzd `ec `diubehpd( Fc sthfc `e cf zmlhf fzfreie uh ehcfiezfrf Wdcwer fc zrlhilzld( Fc nfier icli eh Wdcwer fc zrlhilzldremreyf f cf zfrpe yuzerldr `e cf zmlhf( Pd`dy cdy nlzerwhiucdy`ec zrd|eipd `e eyirlpurf ye idhyerwfh eh ec `diubehpd NPBC(

7/31/2019 Tutorial Kids Pi Ration

175/200

7/31/2019 Tutorial Kids Pi Ration

176/200

7/31/2019 Tutorial Kids Pi Ration

177/200

7/31/2019 Tutorial Kids Pi Ration

178/200

Ifzpucd 66; Fiieylolcl`f`6=?

Wlypf `e lbfmeh d eh Wlypf `e eyirlpurf( E~lypeh fiieydy rzl`dy`ec peicf`d zfrf buindy idbfh`dy `e Al`yzlrfpldh# lhicuyd;

Fiieydy rzl`dy zfrf idbfh`dy idbuheyidbd forlr | mufr`fr zrd|eipdy

Fiieydy rzl`dy zfrf ifbolfr cf wlypf

Zfrf; Bfilhpdyn ]lh`d}y

Forlr `diubehpd huewd Idbfh`d!H Iprc!H

Forlr `diubehpd e~lypehpe Idbfh`d!D Iprc!D

Mufr`fr uh `diubehpdfolerpd

Idbfh`d!Y Iprc!Y

Lbzrlblr uh `diubehpdfolerpd

Idbfh`d!Z Iprc!Z

Ierrfr$Yfclr `eAl`yzlrfpldh

Idbfh`d!V Iprc!V

Fmremfr hdbore `eeypu`lfhpe Idbfh`d!K Iprc!K

Idrpfr Idbfh`d!^ Iprc!^

Idzlfr Idbfh`d!I Iprc!I

Zemfr Idbfh`d!W Iprc!W

@eynfier$_ezeplr Idbfh`d![ Iprc![

Odrrfr Odrrfr _emreyfr eyzfild dodrrfr

F|u`f G6 G6

_ewlydr drpdmrstid G= G=

Lhyerpfr nlzerwhiucd G7 G7

Zfrf; Bfilhpdyn ]lh`d}y

Fkuypfr f wehpfhf Idbfh`d!E Iprc!E

Fierifr {ddb Idbfh`d!.2, Iprc!.2,

Ifbolfr f Wlypf `eeyirlpurf

Idbfh`d!P Iprc!P

Ifbolfr f Wlypf `elbfmeh Idbfh`d!P Iprc!P

Diucpfr Al`yzlrfpldh.ycd Bfi DY ^,

Idbfh`d!N HF

7/31/2019 Tutorial Kids Pi Ration

179/200

Muf `ec uyufrld `e Al`yzlrfpldh 6=9

Fiieydy rzl`dy zfrf hfwemfr eh Wlypf `elbfmeh

Fiieydy rzl`dy zfrf hfwemfr eh Wlypf `eeyirlpurf

Fiieydy rzl`dy zfrf bdwerye ehpre

olocldpeify `e ybodcdy

Zfrf; Bfilhpdyn ]lh`d}y

Lr fc zrlber ybodcd Ifyf Lhlild

Zfrf; Bfilhpdyn ]lh`d}y

Lr f cf zrlberf l`ef Ifyf Lhlild

Lr f cf cplbf l`ef Glh Glh

Zfrf; Bfilhpdyn ]lh`d}y

Olocldpeif fhperldr Idbfh`d!.#, Iprc!.#,

Ylmulehpe Olocldpeif Idbfh`d!.(, Iprc!.(,

7/31/2019 Tutorial Kids Pi Ration

180/200

7/31/2019 Tutorial Kids Pi Ration

181/200

7/31/2019 Tutorial Kids Pi Ration

182/200

7/31/2019 Tutorial Kids Pi Ration

183/200

7/31/2019 Tutorial Kids Pi Ration

184/200

7/31/2019 Tutorial Kids Pi Ration

185/200

7/31/2019 Tutorial Kids Pi Ration

186/200

7/31/2019 Tutorial Kids Pi Ration

187/200

7/31/2019 Tutorial Kids Pi Ration

188/200

7/31/2019 Tutorial Kids Pi Ration

189/200

7/31/2019 Tutorial Kids Pi Ration

190/200

Fzh`lie F; Uplcl{fr Al`yzlrfpldh idh zl{frrfy | dprdy ylypebfy ofyf`dy eh yp|cuy6>0

YBF_P Odfr`

Uyd oylid

Zue`e uplcl{fr uhd `e `dy bd`dy eh cf zl{frrf lhperfiplwfYBF_P Odfr` zfrf eyirlolr pe~pd; ]rlplhm Zf` d cf zfcepf `e

nerrfblehpfy Gcdfplhm( ]rlplhm Zf` ey ec bpd`dreidbeh`f`d zfrf lhmreyfr pe~pd(

]rlplhm Zf` ye wlyufcl{f fc zreyldhfr ec odph `ec peicf`d ehcf ofh`ekf `e YBF_P Odfr`( Zreyldhe ec odph Eyirlolr$peicf`d zfrf fcperhfr ehpre ]rlplhm Zf` | ec peicf`d( Iufh`dye wlyufcl{f ]rlplhm Zf`# uplclie ec yp|cuy zfrf eyirlolr yupe~pd eh ec ref `e eyirlpurf( Iufh`d ye wlyufcl{f ec peicf`d#ye zue`e lhmreyfr pe~pd `lreipfbehpe `ec peicf`d(

ZI `e pfocepf

Idhstmurfildhey reidbeh`f`fy

Al`yzlrfpldh | ZI `e pfocepf ydh idbzcepfbehpe idbzfplocey(Hd ey heieyfrld ifbolfr hlhmuhf idhstmurfilh eh cf ZI `epfocepf zfrf dopeher fiieyd fc reidhdilblehpd `ec ref zfrfeyirlolr f bfhd d `e gdrbfy eh Al`yzlrfpldh(

Uyd oylid6( Zucye ec odph Zfhec `e ehprf`f `e ZI `e pfocepf eh cf

ofrrf `e Pfrefy zfrf fiie`er fc ref `e ehprf`f(

?( Eh ec zfhec `e ehprf`f# zucye ec odph ref zfrf eyirlpurfzfrf forlr ec ref zfrf eyirlolr f bfhd( Iufh`d perblhe`e eyirlolr yu pe~pd# zucye Lhyerpfr zfrf lhmreyfr yu pe~pdeh ec `diubehpd `e Al`yzlrfpldh(

d

9( Fiie`f fc peicf`d eh zfhpfccf fc zucyfr ec odph Peicf`deh zfhpfccf( Zucye yu pe~pd eh ec peicf`d zfrf fmremfrcdfupdbplifbehpe eh yu `diubehpd `e Al`yzlrfpldh(

7/31/2019 Tutorial Kids Pi Ration

191/200

7/31/2019 Tutorial Kids Pi Ration

192/200

6>7

MF_FHPF CLBLPF@F; Lhyzlrfpldh Ydgp}fre# Lhi( mfrfhpl{f vue cdy be`ldy eh cdy vueye nf remlyprf`d eype Ydgp}fre hd peh`rh egeipdy e bfperlfcey d `e bfhd e dorf yl ye ce`f uh uyd hdrbfc `urfhpe cdy

7/31/2019 Tutorial Kids Pi Ration

193/200

7/31/2019 Tutorial Kids Pi Ration

194/200

7/31/2019 Tutorial Kids Pi Ration

195/200

7/31/2019 Tutorial Kids Pi Ration

196/200

7/31/2019 Tutorial Kids Pi Ration

197/200

7/31/2019 Tutorial Kids Pi Ration

198/200

h`lie6

lhyirlzilh e Al`yzlrfpldh 66lhyerpfr

mrstify eh `lfmrfbfy 6:5mrstidy eh olocldpeify `e ybodcdy 659

Lhyzlrfpldh Ydgp}freyerwlild fc iclehpe 6?

lhwerplr uh ehcfie odpdhey | behy `ec zrdmrfbf 69?Nerrfblehpf Eyiuinfr 69?

chefy`loukfr uyfh`d cf nerrfblehpf Iref`dr

`e ybodcdy >7ccehfr

Nerrfblehpf Iref`dr `e ybodcdy

bdwer ehcfiey

bdwerye ehpre olocldpeify `e ybodcdy ?6

Hhfwemfr

Wlypf `e eyirlpurf 6=9

Wlypf `e lbfmeh 6=9hdbore

fmremfr 9:fmremfr fc zrd|eipd 6=lbzrlblr eh cf zfrpe yuzerldr `e cf

zmlhf 697hdbore `e frinlwd 6>hdbore `ec eypu`lfhpe

fmremfr fc diubehpd 6=lbzrlblr eh cf zfrpe yuzerldr `e cf

zmlhf 697

hdpfyfmremfr f l`efy 56# 666huewfy guhildhey ?hberdy `e zmlhf

lbzrlblr 695

7/31/2019 Tutorial Kids Pi Ration

199/200

7/31/2019 Tutorial Kids Pi Ration

200/200