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G`sa
U`say`|x;
Cbxlimlmi nfr
Xhhbxx
Kdlb Uabdux$ ^`dbmhl` HfddbibFrd`mcf$ Ndfrlc`
?50? X`oo`slh`d _bxb`rha
@urld ?9$ ?50?
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F~br~lby nfr Cbxlimlmi nfr Xhhbxx
F~br~lby fn M`slfm`d Cb~bdfugbms`dBch`slfm Hfm~brx`slfm
Sab Hfgudbslfm @ibmc`
Urfglxlmi Ur`hslhbx lm Hfggmls| Hfddbib
Ya| nfhx fm sab Cb~bdfugbms`d
G`sabg`slhx Urfodbg6
S|ubx fn Cb~bdfugbms`d G`sabg`slhx_bcbxlim
Sbhamfdfi| fm Cbg`mc
@hsl~ls|
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Hfggmls| hfddbib xscbmsx `rb
abrflh-
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b~bm abrfbx mbbc fr abdu-
3
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Bmsbrlmi xscbmsx `rb aliad|gfsl~`sbc$ `rb hfgglssbc
sf `halb~lmi sablr`h`cbglh if`dx$ `mc
xlmhbrbd| obdlb~b sab| yldd-
Xfrhb; Sab Hbmsbr nfr Hfggmls| Hfddbib Xscbms Bmi`ibgbms ?500 _bufrs
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fn xscbmsx rbxufmclmi sf sabXBMXB xr~b| x`| sab| obdlb~b sab|
a`~b sab gfsl~`slfm sf cf ya`s lss`jbx sf xhhbbc lm hfddbib-
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fn fr xscbmsx db`~b lm sablr nlrxs |b`r-
Clc |f jmfy sa`s
Xfrhb; Sab Hbmsbr nfr Hfggmls| Hfddbib Xscbms Bmi`ibgbms ?50? _bufrs
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fn xscbmsx rbxufmclmi sf sab
XBMXB xr~b| x`| sab|rb
`h`cbglh`dd| urbu`rbc sfxhhbbc lm hfddbib-
Xfrhb; Sab Hbmsbr nfr Hfggmls| Hfddbib Xscbms Bmi`ibgbms ?500 _bufrs
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Lm sab XBMXBxr~b|
fn xscbmsx sbxslmi lmsf sarbb cb~bdfugbms`dhfrxbx x`| sab| `rb `h`cbglh`dd| urbu`rbcsf xhhbbc lm hfddbib-
@m Bnnbhsl~b Sr`hj sf Hfddbib
_b`clmbxx
Xfrhb; Sab Hbmsbr nfr Hfggmls| Hfddbib Xscbms Bmi`ibgbms ?500 _bufrs
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Sab Hfgudbslfm @ibmc`
Cfodb sab Mgobr fn Xscbmsx hfgudbslmihbrslnlh`sbx `mc cbirbb o| ?5?5-
Xdlcb nrfg X{`mmb Y`dxa Jb|mfsb Urbxbms`slfm `s M@CB ?50?
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Urfglxlmi Ur`hslhbx Rxbc sf Ud`m
nfr Xhhbxx@xxbxxgbms `mc Ud`hbgbms Urbu`r`slfm !Cb~-
Bc-,
_bnrbxabr Hd`xx fr Yfrjxafu !1 afrx fr dbxx,
Urlms fr fmdlmb g`sbrl`dxGdslc`| fr Ybbj _bnrbxabr Urfir`g
Fm'xlsb Mby Xscbms Frlbms`slfm Urfir`g!G`mc`sfr|,
@h`cbglh @c~lxlmi `mc Ud`mmlmi !G`mc`sfr|, _bilxsr`slfm obnfrb Hd`xxbx Obilm !Cb~- Bc-,
!N`hs; gfrb sa`m 00" fn hh xscbmsx hrrbmsd|
rbilxsbr nfr ` hd`xx `nsbr sab nlrxs hd`xx gbbslmi,
@ G`ssbr fn Cbirbbx HHHXB ?50?
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Urfglxlmi Ur`hslhbx Rxbc sf
Lmlsl`sb Xhhbxx@hhbdbr`sbc fr N`xs'Sr`hj Cb~bdfugbms`d
Bch`slfm
Nlrxs \b`r Bqubrlbmhb Hfafrs ' cbxlimbc sf xbr~b 0xs
ibm$ dfy'lmhfgb xscbmsx Lmsrxl~b hfmxbdlmi$ ubbr gbmsfrlmi$ db`rmlmi
hfggmlslbx$ g`mc`sfr| cb~bdfugbms`d g`salmxsrhslfm`cc syf afrx fn g`sa ylsa sab lmxsrhsfr`mc ssfr b`ha ybbj
Xscbms Xhhbxx Hfrxb !G`mc`sfr|, Db`rmlmi Hfggmls| !u`lrbc cb~- G`sa ylsa ` 8
hrbcls afrx Xscbms Xhhbxx hfrxb,
@ G`ssbr fn Cbirbbx HHHXB ?50?
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Urfglxlmi Ur`hslhbx xbc sf
Xxs`lm Xhhbxx Hd`xx @ssbmc`mhb Ufdlh|
91" fn n`hds| a`~b sabg
B`rd| @dbrs `mc B`rd| Lmsbr~bmslfm Ufdlh|
99" hfddbib a`~b ` ufdlh| Bqubrlbmsl`d Db`rmlmi ob|fmc sab Hd`xxrffg
08" fn n`hds| rbplrb a`mcx'fm db`rmlmi Ssfrlmi
9>" fn xscbmsx MB^B_ ybms sf ssfrlmi
Xuudbgbms`d Lmxsrhslfm19" fn hfddbibx fnnbr33" fn n`hds| rbplrb$10" fn xscbmsx MB^B_ `ssbmc
@ G`ssbr fn Cbirbbx HHHXB ?50?
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Sab Urfodbg; Cb~bdfugbms`d G`sa
>5"fn hfggmls|
hfddbibxscbmsx
>5" fn HH xscbmsx s`jlmi sab ud`hbgbmsbq`g mbbc `s db`xs 0 rbgbcl`d hfrxb
8'2`cclslfm`d
hfrxbx
Sab rbgbcl`d hfddbib g`sa u`sa h`m ob 8'2hfrxbx
=Gfrb xscbmsx crfu fs obsybbm hfrxbx
sa`m nrfg `m `hs`d hd`xx
0rbgbcl`d g`sa
u`say`|
Fmd| fmb rbgbcl`d g`sa u`say`|$rbi`rcdbxx fn g`kfr
Xs`sy`|SG `mc P`msy`|SGH`rmbilb Nfmc`slfm Cbhj M@CB?50?
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_bnfrg Xafylmi Xhhbxx
Hfgudbsb _bcbxlim fn Mfm'XSBGCb~bdfugbms`d G`sabg`slhx U`say`|x!Hfmsbqs`dl{bc Db`rmlmi,
Xs`sy`|
SG
P`msy`|SG
N`xs'sr`hj fr @hhbdbr`sbc Hrrlhdg 1'ybbj Bdbgbms`r| @dibor`& 1'ybbj Lmsbrgbcl`sb
@dibor` !hfrxb u`lrlmix,
MH@S rbcbxlimBgufrlg Gfcbd Ndluubc Hd`xxrffgx
Dlmjbc Cb~bdfugbms`d G`sabg`slhx Hfrxbylsa ` Xscbms Xhhbxx Hfrxb
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Xfdslfm; Mby G`sabg`slhx U`say`|x
0>
Sarfia hfddbib'db~bdxs`slxslhx
Sarfia hfddbib'db~bdp`msls`sl~b rb`xfmlmi
Syf 0'|b`ru`say`|x
0
?
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Xs`sy`| `mc P`msy`| Db`rmlmiFshfgbx
Cb~bdfugbms`d G`sabg`slhx Db`rmlmi Fshfgbx
Mgbr`h|
Urfufrslfm`d _b`xfmlmi
@dibor`lh _b`xfmlmi
Nmhslfmx
09
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N`xs Sr`hj Hfrxbx
3 sf 2 c`|x ` ybbj !25 glmsbx ` c`|,
Bdbgbms`r| @dibor` `mc Lmsbrgbcl`sb @dibor`Urb'`dibor` `mc Bdbgbms`r| @dibor`
Hfrxb lx s`ias lm gfcdbx
Hd`xx a`x ` ubbr gbmsfr lm~fd~bc
Sbhamfdfi| lx ` sffd nrfg sab xs`rs
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Bgufrlg Gfcbd
Bdlglm`sb `dd dbhsrbx
_bud`hb sabg ylsa ` db`rmlmi'rbxfrhbhbmsbr !d`o, gfcbd
Lmsbr`hsl~b Xfnsy`rb Fm'cbg`mc$ ubrxfm`dl{bc xxlxs`mhb
Ubrglsx gdsludb hfrxbx sf ob fnnbrbc `ssab x`gb slgb `mc ud`hb
@c`usbc nfr clnnbrbms jlmcx fn lmxslsslfmx
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Gfcd`rl{bc Cb~bdfugbms`d
G`sabg`slhx6 Orb`j sab cb~bdfugbms`d g`sabg`slhx hfrxb
xbpbmhb lmsf hamjx fr gfcdbx sf `~flcrbubslslfm
Ubrglsslmi xscbmsx sf sbxs fs `mc gf~b fmyabm sab| xafy g`xsbr| fn ` hamj
Ubrglsslmi xscbmsx sf gf~b sarfia sabgfcdbx `s sablr fym u`hb `mc jbbu gf~lmi
@~flc rb'sb`halmi hfmhbusx b`ha mbyhfrxb
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Bgufrlg Gfcbd C`s`
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Bgufrlg Gfcbd Hfxs
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Sab Ndluubc Hrrlhdg Cbnlmlslfm
^lcbfx s`jb sab ud`hb fn clrbhs lmxsrhslfm
N`hds| `mc Xscbmsx a`~b slgb lm'hd`xx sf yfrj fm jb|
db`rmlmi hsl~lslbx
'Ya| lx ls h`ddbc ndluubc6 Hd`xxyfrj !sab dbhsrb lx ~lcbf`mc y`shabc `s afgb, @xxlimbc Urfodbgx !mfy cfmblm'hd`xx,
Xbb gfrb;
assu;&&yyy-sabc`ld|rlnn-hfg&`rslhdbx&sab'ndluubc'hd`xx'hfm~brx`slfm'>1
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Cb~bdfugbms`d G`sa `mc
Xscbms Xhhbxx Dlmjbc Hfrxbx
Bq`gudbx
Orlcibx Hd`xxbx !ndd'|b`r urfirbxxlfm,
Bq`gudbx
Cb~- G`sa L `mc Xscbms Xhhbxx
Cb~- G`sa LL `mc Xscbmsx Xhhbxx Lmsbrgbcl`sb @dibor` `mc Xscbmsx
Xhhbxx
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Sbhamfdfi| lm Cb~ G`sa
_bcbxlim
Ub`rxfm Urfchsx !G|G`saD`o `mc G`saQD,
Xg`rs Ubmx assu;&&yyy-dl~bxhrlob-hfg&bm'x&
Sbqs Gbxx`ilmi !M`sl~b @uux fm Xg`rs Uafmb, ^lcbf !ndlu h`gbr`$ Klmi$ H`gs`xl`,
assu;&&~`dbmhl`hfddbib-bc&g`sa&dl~bXhrlob-hng
assu;&&yyy-sbhaxglsa-hfg&klmi'nb`srbx-asgd
Yfdnr`g @dua` !Yboxlsb `mc Xg`rs Uafmb @uu,
assu;&&yyy-|fsob-hfg&y`sha6~7YBYFNRalQf.dlxs7RRNlOl5y81I3QDyg8x\[email protected]`srb7udhu
http://www.livescribe.com/en-us/http://valenciacollege.edu/math/liveScribe.cfmhttp://www.techsmith.com/jing-features.htmlhttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.techsmith.com/jing-features.htmlhttp://www.techsmith.com/jing-features.htmlhttp://www.techsmith.com/jing-features.htmlhttp://www.techsmith.com/jing-features.htmlhttp://valenciacollege.edu/math/liveScribe.cfmhttp://valenciacollege.edu/math/liveScribe.cfmhttp://www.livescribe.com/en-us/http://www.livescribe.com/en-us/http://www.livescribe.com/en-us/http://www.livescribe.com/en-us/http://www.livescribe.com/en-us/8/2/2019 Math Pathways: Designing for Success
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Srbmclmi _bcbxlim Lxxbx sf'c`sb
Hfmsbms
Hfmsbms Cbdl~br|
C`s` yabrb lx ls6 Afy cf yb xb ls6
Sbhamfdfi| xf g`m| fuslfmx
Hd`xxrffg Xu`hb&Xl{b
Xuufrsx !lb- D`ox$ ssfrlmi,slgbx
Lmlsl`sl~b n`slib
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@hsl~ls|Foxbr~brx
Ob urbu`rbc sf rbufrs sf sab irfu |frfoxbr~`slfmx-
2 ~fdmsbbrx
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Pbxslfmx
Kdlb Uabdux
kuabduxElmsbr`hslfmddh-hfg
kuabduxE~`dbmhl`hfddbib-bc
Fr8?0 >1< 8?11 !hbdd uafmb,
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