Matematica si explorarea mediului - Clasa 2 - Auxiliar ... · ,S!SdVN!S r!l)eP!P relllxne I lngr...
Transcript of Matematica si explorarea mediului - Clasa 2 - Auxiliar ... · ,S!SdVN!S r!l)eP!P relllxne I lngr...
,S!SdVN!S
r!l)eP!Prelllxne
I lngr e)ruoran e)uV !PV
eauj elsJgn
eapol einluy I ueSndgl eualf I
\{ I A-l lr! LJll'llJ\I -\r
nauJ alatunN
€L9'gg ' ' "' ' ' 8 alsa llolf,e] arlulp Inun pue3 earlllnuul
/ a$a uoper srlulP tnun PugJ eallllnuluJ s9t9Z9
I909
6S
8S
LS
9S
ss
EN
eareunpe pursolo} /0oI Pl o el aP aleJnlPu lolaJaunu eallllnulul
ns Pie!^ ap !!paN 0oI - o Inrlualuol ul alernleu lolalaurnu eallllnulul
ts
ts i]lnul leu nlls Ps nealn
zs ' " " 'n ealellun alen;en3 - 1nt16 a: p1e;
os " illJPstaxa Ps
8, " lliElado Pnop nes eun ulJd PAlozaJ as alel auJalqold
Lv '" 000 r alsa InlnzPssap pugl earappls
gn lnrsounsau rnlnrPunu eareuv
sn " ' arlleBau aiuanllu! - eu.lnlg rolalns
le r6 rolrraz lnurpro el lnunrdul n: '000I Pl 00I Pl ap aleJnleu rolaJaulnu ealapPlS" " altle8au aluanllul - elalas
roralns rnurpro :' '"'"'.'.:i."'.:9oo l.'1.90.'.:1.:l::#:';:l::1;ll-":i",Jj;:
.!6 e!eotd.rolraz Inurpro et *nrlrO..l
l:.999, :L-r.Ol el ap alernleu.rolaraurnu earapPrS
EV
., ... aJnpPd ulp alue;d t5 a;eutuy
'" earnppd 9 alsa tlolleJ aJlulp Inun pugr eaJlllnLuul
''' lnueAlV S alsa llolle+ aJlulp Inun pugl ealtflnLuul' plleB ? atsa tlopeJ allulp Inun pugl ea.ttl;nuu1
'''" E alsa llollel allulP Inun pugr ealtf;nuu1'' ' z alse riolfej arlulp lnun pugl ealtflnuu;
'::': {:l:1:': l'l':l':li:}T ffii'' r;e8a ruaLrral ap pleladaJ
' ' ' illnLu tetu n11( qs neall' lll ealelrun arenle^l - in116 ar ptel
""' ir.uFsJaxa Ps" ' rolruauJeo ale gzEq ap alloaau ardsa6
000 I el 0 el ap aleJnleu lolalaurnu ealtlunlogrolalPurue ale Pzeq ap alro^aN
alernleu rolarauinu eaJeuopJo
.ro1a1ue1d ale pzeq ap alro^aN' " 0OO I el O el ap alplnleu.tolaJaunu eale.ledLuol
- ttdtugc aldsa6
000rel0
'l "l "L:1n"u '"r-::lu.'"1"''.".1t "''1i:.':"'.::l: ?9-o.l :r o.'.1:.1:r:il]:i.".r"'"'nt
illnu leu nllS Ps neaJn' 'Flelllul arenlenl - inpl( ar glel
'"" iuPslax39s''" " rnlnlu9L.lJ9d eallnlgllv
' " rrfdou e r$ raltz eateut.to3 telos lnlnualsls alalaueld
00I el 0 el ap alelnleu alaraulnN
Zt i]lnul leu ntl( gs neall
fi "" nl ealetlun alenJen3 - lntt$ a: 9le1
oi " "" ituPslaxa Ps
6E O0O I alsa euns pugl ulplo alsad ala:al1 n3 alElnleu Jolalaunu eaJeunpv
8t " 'Jolllaz le 16
roltigltun lnurplo alsad alasaJl nl'000 I el 0 el ap aleinleu JolaJat!nu ea'jeunpV
LE 'rnlnlpau eldnse tn;nuo e Pnlle8au
eiuanl1ul toltf,az InutpJo alsad aJalall n3'000 I el 0 el ap alelnleu rolalaunu eaJeunpV
St roltiPltun lnutpro alsad alalail nl'000 I el 0 Pl ap alelnleu.lolaJaunu ealeunpv
VE utpJo alsad alalall PJe]'000 I el 0 el ap aleJnleu.lolalaulnu ealapPls
t€ " alernleu llie^iazau utplo alsad aralaJl PrEj'oo0 I el 0 el ap
alernleu Jolalaunu eaJeunpv OOO I el O el aP alPinleu Jolalaulnu PaJapPJs 1i ea:eunpy
TE
zt
0t6Z
LZ
9Z
sznzEZ
ZZ
0z
OZ
''' 000 I el 0 el ap
6I " " i]lnu leu nlls 9s nPaln
gI " ll ealellun arenlen3 - ;ntl( a: gle1
" " " iulPeaxaPS
sI " "'lt:gunPealrf9lat.tdo.t6
€I unleap lS llunu :,allal aP auroi
tI utpJo alsad a.lalaJ] nJ'O0I Pl O el ap alelnleu Jolaleulnu eaJapPls 1$ ealeunpy
ZI utpto alsad aJalarl PJP]'0OI el 0 el ap Jolalaurnu earapqf,s lS eaJeunpv
ZI
IIOI6
8
L
S
S
sNrudnf,
ntirznt9EI5€I€trZEII€I0tI6Zt8ZrLZIszrtzrZZItzrOZI
6II8IILII9tr9II
. .!!intos. . pleu[ aJenle^] _ intls al plel
. ... ... . gleuu alelnltdetau'' illnu reLri nrll es neaJn
. x ealeltun aJenle^l _ inll( al ptel' " "iuestaxaPS
illeJqt^ t( apun]nrsounl Inrpau utp Jolalep Ea.leluazaJdaJ t( eaJeztueSJo
ealelErJ+rall
SII ' illnur teu.t nrl( es neaJntII " Xl paleltun alenle^f - intl( atr pteltII iulpslaxe pS
ZII ' pials lnuol Inlputltllll ' Inproqnl lnqnl alulauJoa8 !:nd.ro30II " " raueltdolaltlog60I paleleups t( altzu il{D:ax3 lntta:ttuas ,lnltal80I pseolpups atleluaurle O lntq8unt{LOI taiutntol euatSl .lnrq8unldaro
(atoulupq tS apauoul) oJnl(aloulueq rS apauour) lnal lueg
.,*,1:i,#:,:Titnffi
'lnurerg.. . .lnuJe.tBolt) taseuj eajetnsen
' "' 'lnlltpltu r( 1nt1r1 rrielr:edef, ealelnselA'''' Inllautltt IultBunleaJeJnspf!
" Jolrloq ealelell rS lltlguloquJ p aJtualald ap apolanl' '' In:latxtlual tS InJlan rru.rr8un; eale,tnse61
' '" ta{urntol euar3l ;n1et1g6 a:u1autoa3 undto: r$ un8l3
.. itlnu teut nl1( es nea:1. llln ealeltun alenlp^f _ intl6 al plel
iurPsraxa PS
ilieiado pnop ep llnur teul uud p^loza.l as aJpJ aulalqoJdtolrr{erado lJenlla}a eautpJO
lnlsounlau tnlnteunu ealellverllpduJ ap aleDads .tnzel
6 e; eatr!qdu1PseolPuss arlPluauIe o 8
:i ::]lllE::i9 el eallJpdr!l
r6oleugs r{ur6''q er Pairfuedur
9 e1 eatrlgdu.rl' F et eaJrllPdur
. Z el ealtlrpdul
' pnSlnlod proNlnlod 00I_0ln.tluatruolutalernleurotaratxnupaJtiledut , .. ^ J
'illnu rEr.r nrl( Ps neatn.. lln ealptrun ajenle^f _ i nttS al plpl
..iuesjaxa eseltuploq eutperg rur!gdu1 e r$ rurf;nuuu1 eqo:6
lnuaSa0gleladat ealape:s pursolo, /alpJnleu rolalaunu eatri:edu;
er8eaN eaJenl
OOI pl O el ap alelntpu rolaJaunu ealtLpdul. ITPUnO ellaG
' " aluale^tLlta rri:etg .ro1rr{:et; ealeredr,uo3' " eauiuled/lnlals
'' eautop / ealetpulnferirpll iS InBaJlul 0OI el O pl ap alernleu rolaraunu ealtlrpdull illleJl
..."-...[n ealeuun
' i]lnul leu nr16 es neatlIn paleljun aJenlp^l _ intl( ar plel
i ulPslaxa FS. . auralqojd ap eale^lozau
tolrrf elado ilrenllaja eautpJOrurilnuul altiplatrdot6'1 nes g alsa uolte] allutp Jnun pueJ eaitilnLuul
90I90r
s0rn0tEOI
zoIIOI00r66
86
L6
96
s5
n6
t6z6I606
68
68
88
LB
98
s8t8t8Z8
I808
6L
8L
LL
9L
9L
SL
NL
EL
ILOL
69
89' 0I alsa rJolleJ aJlutp Inun pugr eatrf;nuu;
s
trtr'eJeunu aleJeolPLuJn PJeduof o
E06[-lEorl-lfral-lfeel-lEee [-_lfse[-lf osl-ltlrt I-l 'Jolararunuuulce^elrcs O
8S
sz
zs
6E
68
s9
t5s9
66
L9
86
SL trtr
trtr
88 E t.v L E ,.
w.,fr ffi;m q'.#QU Eil q,
'rnln8 ad asr.tcs alaJerunu JolPlsaJosap PzeauoplO O
'aunle ad ast.tcs alalaunu JolPlsall FzeauopJO O'rt nl a;e8a nes tJetu teu t5 671gcap tctu teul (a
1gg1 lgcap rrtu teu t6 96lgcap tteul teu (p
!88ls tt arlug esuudn: (c
1gg e1 gugd EO et ap (q
!7tr e17ugd gg e; ap (e
:alaJatunu auss @
v9
€8 6L
'areolgzundsalof aleJatunu nf, tt.toSt.tou pzeala;duuo3 O
00T el 0 el apaleJnleu alaraunN
IV]IVIINN
t
9
- O'?'S (q
+ 8'6'E le
:eleJJo nl arJJs lod as aJel alrJaJrp aJJn pnop ap aleJnlpu alaraunu aleol arJls
'5 nc pge8a rolarJo euns (;
1.ro;rcaz eJp lglap aJeu reu 1 no ro;rig1lun er;rc (a
1.ro;riglrun eJJn lgoap Z nf, aJertt reu Jolrf,az erlro (p
1ro;ripllun eJJrf, nl e;e8e ro;roez erlrc (c
1y nc e;e8a lo;riplrun ellrc {q
esrJ3s luns aJeo ad alaraur Jeop ezeoJolo3 ()
'9 nlg;eta rolrcaz ultp ne oJeo aJounu aslJlsluns aref, ad a;azunrJ teunu ezeelolo3 @
11 nc g;e8a Jolnaz er;rc (e
:ne oJes aJJp Pnop ap alernleu alaJauinu arJf,s
'gg e; r[un1o.r 1od es aref alaJaunu
0s8LI96n
'!iPltun
66
foz uJ alaJatxnu
EOL
T,L
aunduocsaq !s!
L
lelos Inualsls ulp alaueld ldo ala3 alsaulnN
.pllaJol etilzod ul aloJeos pzeeuasao 'tz alsa aJe3 ad lalaueld Paued uaqlet nl PzeaJolof
as aJef
leuJoJ alsa
lnrnr uI PlSrru
undjo3 utp
lnualsls
'pls!l ulp alur^nf, nr Iniunua Pzealaldruof
'oJeos el ap allrulrd !s
e 'tade ptpolep ' Plslxa eJJaI ad JeoO
el ap elaJl e alsa lnlugtuPd
']rnulod lntol el plsll ulp alalut^no atJf,S 1@
.oo,o€
o€oo
llidou e !5 !el!z eareuroJ 'relos lnlnua5ls alelaueld
8
aPlPlaunluleaued ad U eA ralrz e aued aJ iao aO elsalugtxpd tn;nqo1t e alelPun[ ^e]leleal a]sa unl
lprei ug U e^ ralrz e aued af 4FleulLlrnl a tn;nqo18 e alied o al aO
'puraruer ap aleurunr rarar gsndo eaued ad a;;e as ps prugtuou lglul rr]rrriliittliJ,?r.rullsalugtupd lnqo1t rloJ e^^ala UV'elugurou FlJe as erec ad rn;nqolt eaued puraluel o nl euruJnl
e^ ^ale
un 'erugtuou pUe as aJeo ad ;nco1 ad greotuttur o f,salugtugd 1nqo18 ad titdtl' puJaluel o'csa1u -etu pd 1nqo13
',,ee1deou r$ entz pzeauroJ as urnJ"
'aur8eurr ul rza^ 03 eaac uniunua €-Z u1pcr1dx3 @lnluaurluo3 ad g;1e as grlseou eref
3i
"=rm
epJlseou e.rei g;1e as luaurluol ac ad 'nJlseqle nc pde ap alrJapurlul rS oreu.r nf, Inlelsn pzeaJolof O
!nlnlugruFd ear!nlPllv
,nvv
'etlo^zap as e rsalSaJl e nJluad rnlaJeos ernplpl rS euruJnl ap aroneu ne aJef aiur4 rnlaJeos Inrnf ul pzeauasa6
'rnlaJeos alazpr ad asr.rcs alaJatunu rf,az el al3afunlou'areqartuJ e; ;nsundsgr pzeeloN @
'Ruueol ap Jolrunl alrJrrunuap erJf,s 'a
'alasef, u! lln!.rlod loqurs un pzeauasap 16 rugurgldgs allutp eun-JluJ earuarn p^rasqg 'p
'l!eu ap Jolalrz areolgzundsaJol alalep plulzaJdal aJef, areduur aleJeunu aUlS '?
'lileu ap Jolalrz a.reolgzundsarof, alatep plulzerdal eJef, ared a;araunu arJls 'q
eplrurunp alsa arJqualdas rrunl ele elep aJel uJ 'e
'e;afu1.rac e^lozeJ rode 'auquratdas uunl e lppuolel ap elg gzealaqduo3 O
iuPsraxe Fs
ealareos elsa af,
lulNlAlorrunfulil triuvr^rtNnl
OI
ts
'olep olalut^nf, nf allJniunua Pzealalduol
'eJeolPlsaJf, aulpJo uJ'lf,az ulp Jeop aleulo} (,
:ejarunu laJl auls o€s'sr ' 68' Ls'st.
19 iolrcez eJJrf, ne alec a;alaulnu (e
:a1$arncracu; @
errf,S O )JOJ alaJatunu lnrol
unsundsg.t ggrnsundsp: 7sundspr Is
UFtelduiol €lrgta;d.tuoc 7a.re1a;duoc 1tt.tn:t6 5unrrS 7r(r€
aiaunu 9alaunu s -,arauJnu t - zz
aJaurnu EaJaulnu zJPtUnu II
aulq aueolau!8lualrllns
@@u!pl!n}P3leln|n1u9tuPd|n6l|a^uJa}saeJa}sowlv,t@@ ' , f,serunu as tugtupd ad ap lelsn ap alupd ,r'@@PzeauJo}as]auedP}seo3eu!/aleoSap}eu!uln|a|ntu9lxPdPUn,r'
'sundspl ep plsaJol eluelJe^ auliuol alef elase3 PzeaJolof O'lugurPd aJds es
altutJl eals P$ealv/aJetu reur la3 a$a alaJeos /
6€'8; 'TB'zL' Lz.'aJed aleJaunu (,
lelos Inualsls ulp f,soraf,
SL,OL, L8 , LT
,6L .!tr21gcap !ur,u leu alaraunu (q
lareolgcsarlsap autpJo u1'act1uapl aJlls Pnop urp aleulo; (q
!57nt pugdacul 'aleolgosalc eulp.ro u1 (e
Fle!i!u! arenle^l - in!$ al Flet
TT
oJello^zap ap ilipJaxe + aJeJolloue ap llilllaxa o
sseunu Phl
'relos lntuarsls ulp alunu lleuJ reu lel a tolv'areos el ap Ptaueld elted e luns
lsaunu PlA
'gieaqE;S g.rp1d ulp leuloJ a nau InzatlA 'eJeos el ap plaue;d easeS E ]ultg o
'd.roc lace aldsap plueseJalur arfer.u.ro;ul o nl 15 pzeeloN 'f,seJef, d.toc gnlgcalJ elauinu elsec;q9
ra alaunu gleue;d aJeoau gtug; ezealoS .'aJeUnu alsaf,e JolPlsaJl pzeauopJQ o
'Jpunu un sgos else alaueld tatgcag lolgzundseloc ;nSeuolJel ad
'al-auls aein;ap ad ap aleJaulnu e; altfunlo.t !] lod aJaulnu aJ o
illnu leu n!$ Fs nearn
I
+
=
6t
a
+
'(apulq8) = auguPl lon uelals lop lal qns
'apurqE
e^ as apurqt ap lelol InJpunu trunle'aputq8 S llelPlas qns
ap r$ apurq8 g uetals oJlutp lnun qns ap et eirg PleC 'apulqB ap gg lnzP3 ne tlelals lop ul6
Qt,95+Zt
e O, !S /S rolaraunu euns tgoap ZI 16 gg.ro;alaunu eiuela;lp PllLu leu alsa lpc n3 O
9l-L8 €?+SIsz+ts 89 - 86
(Fu.f,,*rtQ,,
s-BLIzu+oe
'peduroc rS pzea;nc;e3 O
S
+r88
-69ZT
+rs9Z
-8t7L
+sts
-68
auoo eref,al1 lnzpl e perq ef, uro @
€9 In-L6 +SZ
:ezealnlleJ o
OE-15,t-s9
lsar nes pfuerallprolFzFls
lnzPlsep
lelol nes Purns 89
z uauJal srI uaulal + EZ .
irulluluea, au Fs
ZN
9t-8L.
ulpro a$ad araferl FJPI'00I el 0 el ap rolaJaulnu
eaJapps !5 eareunpv
II V]IVIINN
ZT
fir,
J
larlaJ ap aurol a1(eounrar tan aaua;qo.rd r( rrir:rexa ap earaunduo: / eale^lozal uJ
'(llu rpLU'areLU r eu'sn ur Lr.r'snld'rolpzprs']nzelsap'piuataltp'lrarura]'lelol'qr"uns) lrnr.rgod frletrlalpu [equtl un eztlttrn la^ O
100I el 0 el ap araurnu n: to;tigltun
lrrrrrpro alsad aJala.r] r)l / ere] uapels t( tleunpe PnllaJa tan O
:1o1rder lsace u;