LICEO NAVAL C. DE C.MANUEL CLAVERO MUGA SUBDIRECCIN DEL NIVEL PRIMARIA 2015V UNIDAD DIDCTICA III BIMESTREI.- DATOSINFORMATIVOS 1.1 AREA : Matemtia 1.2 NOMBRE DE LA UNIDAD : Me!"#am"$ %&e$t#a$ #e'ai"%e$ i%te#(e#$"%a'e$. 1.) *IPO DE UNIDAD: U%i+a+ +e A(#e%+i,a!e " P#"-et" 1.. CICLO: IV 1./ DURACIN: De'10 +e A0"$t" a' 0. +e Setiem1#e 2015 1.2 DOCEN*ES:RA3L VILLAVERDE 4 NELL5 6AVALAII.- JUSTIFICACINE% &% m&%+" +e e7t#a"#+i%a#i"$ - ae'e#a+"$ am1i"$ e% e'&a'$e% - e8"'&i"%a% "%ti%&ame%te %&e8"$ "%"imie%t"$9:e##amie%ta$ - ;"#ma$ +e &$a# - "m&%ia# 'a matemtia9 :a- "%$e%$" $"ia' a %i8e' m&%+ia' $"1#e 'a im("#ta%ia +e "$9 +i1&!"$9 e%t#e "t#"$. E$ta$ i%te#ai"%e$ 'e$(e#mite%#e(#e$e%ta# - e8"a#a$(et"$ +i;e#e%te$ +e'a#ea'i+a+8i8i+a9 i%te#i"#i,a#'a$ e%"(e#ai"%e$me%ta'e$ -ma%i;e$ta#'a$ &ti'i,a%+"$Bm1"'"$ "m"i%$t#&me%t"$ +e e7(#e$i=%9 (e%$amie%t" - $B%te$i$ +e 'a$ ai"%e$ ?&e +e$('ie0a% $"1#e 'a #ea'i+a+9 (a#a '&e0" i# a(#"7im%+"$e a%i8e'e$+ea1$t#ai=%. A' em(e,a# $&e$"'a#i+a+9 '"$e$t&+ia%te$-a("$ee%ie#t"%i8e' +e+e$a##"''"+e$&$e$t#&ta$"0%iti8a$9 ''e8a% a' a&'a &%a "%$i+e#a1'e e7(e#ie%ia matemtia9 a (a#ti# +e 'a &a' (&e+e% $e0&i# a8a%,a%+" e% 'a "%$t#&i=%+e $& "%"imie%t" '=0i" C matemti"9 :ae# "%!eta$ - e'a1"#a# m"+e'"$ matemti"$ a (a#ti# +e $it&ai"%e$ (#"1'emtia$+e $& #ea'i+a+. E%t"%e$9 $e a(#e%+e matemtia (a#a e%te%+e# e' m&%+" - +e$e%8"'8e#%"$ e% a# #e$&'ta+"$9 e7(#e$a#"%'&$i"%e$ e i%te##e'ai"%e$ e%t#e 8a#ia1'e$. E' #a,"%amie%t" - 'a +em"$t#ai=% (#"("#i"%a% ;"#ma$ +e a#0&me%tai=%1a$a+"$ e% 'a '=0ia. Ra,"%a# - (e%$a# a%a'Btiame%te9 im('ia i+e%ti>a# (at#"%e$9 e$t#&ta$ " #e0&'a#i+a+e$9 ta%t" e%$it&ai"%e$ +e' m&%+" #ea' "m" e% $it&ai"%e$ a1$t#ata$. %a "om&ni"a"i#n matem'ti"a$ im('ia 8a'"#a# 'a matemtia e%te%+ie%+" - a(#eia%+" e' #"' ?&e &m('e e% 'a $"ie+a+9e$+ei#9 "m(#e%+e# ei%te#(#eta# +ia0#ama$9 0#>a$ -e7(#e$i"%e$$im1='ia$9 ?&ee8i+e%ia%'a$#e'ai"%e$e%t#e"%e(t"$ - 8a#ia1'e$ matemtia$ (a#a +a#'e$ $i0%i>a+"9 "m&%ia# a#0&me%t"$ - "%"imie%t"$9 a$B "m" (a#a#e"%"e# "%e7i"%e$ e%t#e "%e(t"$ matemti"$ - (a#a a('ia# 'a matemtia a $it&ai"%e$ (#"1'emtia$ #ea'e$ %a re!ol&"i#n e (ro)lema!$ (e#miti# ?&e e' e$t&+ia%te ma%i(&'e '"$ "1!et"$ matemti"$9 ati8e $& (#"(ia a(ai+a+me%ta'9 e!e#ite$eati8i+a+9 #eAe7i"%e-me!"#e&%(#"e$"+e(e%$amie%t". E$t"e7i0e?&e'"$+"e%te$('a%tee%$it&ai"%e$ ?&e "%$tit&-a% +e$a;B"$9 +e ta' ma%e#a ?&e e' e$t&+ia%te "1$e#8e9 "#0a%ie +at"$9 a%a'ie9 ;"#m&'e :i(=te$i$9#eAe7i"%e9 e7(e#ime%te9 em('ea%+"+i8e#$a$ e$t#ate0ia$9 8e#i>?&e-e7('i?&e'a$ e$t#ate0ia$ &ti'i,a+a$ a' #e$"'8e# e'(#"1'ema@ e$ +ei#9 8a'"#a# ta%t" '"$ (#"e$"$ "m" '"$ #e$&'ta+"$. La a(ai+a+ (a#a ('a%tea# - #e$"'8e# (#"1'ema$9 +a+"$& a#te# i%te0#a+"#9 ("$i1i'ita e' +e$a##"''" +e "t#a$ a(ai+a+e$9 'a "%e7i=% +e i+ea$ matemtia$9 'a i%te#ai=% "%"t#a$ #ea$ - "% '"$ i%te#e$e$ - e7(e#ie%ia$ +e '"$ e$t&+ia%te$. Me+ia%te 'a Matemtia9 '"$ e$t&+ia%te$ +e E+&ai=%B$ia Re0&'a# a(#e%+e#% a ('a%tea# (#"1'ema$ (a#tie%+" +e $& "%te7t" - a e%;#e%ta# $it&ai"%e$ (#"1'emtia$ "% &%aatit&+ #Btia. *am1ia%,a. Uti'i,a +i8e#$a$ e$t#ate0ia$ (a#a ''e0a# a&% #e$&'ta+". Ae(ta ma-"#e$ #et"$ - meta$ e% 'a 8i+a"ti+ia%a. A%'i$i$ +e' "#0a%i,a+"# 8i$&a' +e' $i$tema +e%&me#ai=% +eima'.A"t.a y (ien!amatem'ti"amente en!it&a"ione! ere2&laria$e3&i/alen"ia y"am)io. Matemati,a $it&ai"%e$ E'a1"#a - &$a E$t#ate0ia$ Re$&e'8e (#"1'ema$ +e 'a +i8i$i=% "% &%a i;#a9 e%e' +i8i$"#@ e7ata9 i%e7ata - "m(#"1ai=%. I+e%ti>a-Re$&e'8e (#"1'ema$$"1#e "(e#ai"%e$e%%Fme#"$ %ata'e$: ("te%iai=%-#a+iai=%9&ti'i,a%+" a'0"#itm"$ - e$t#ate0ia$ +e '&'"me%ta'. Ca'&'a mF'ti('"$ - +i8i$"#e$ +e &% %Fme#" %ata'. Dete#mi%a ?&e tie%e% e% "mF% (#im"$ e% 1a$e a'a *e"#Ba +e %Fme#"$. A"t.a y (ien!amatem'ti"amente en!it&a"ione! e 4orma$mo/imiento ylo"aliza"i#n. Matemati,a $it&ai"%e$ C"m&%ia - Re(#e$e%ta I+ea$Matemtia$ I+e%ti>a- 0#a>a '"$ e'eme%t"$ 1$i"$ +e'a0e"met#Ba. A('ia - 0#a>a (#"(ie+a+e$ +e 'a$ #eta$ - %0&'"$@$& 'a$i>ai=%. Re$&e'8e (#"1'ema$ (a#a :a''a# 'a$ me+i+a$ +e &%%0&'". A"t.a y (ien!amatem'ti"amente en!it&a"ione! e2e!ti#n e ato! ein"erti&m)re. C"m&%ia - #e(#e$e%ta i+ea$matemtia$. G#a>a e i%te#(#eta '"$ 0#>"$ e$ta+B$ti"$: Li%ea'9Ci#&'a# - Pit"0#ama$9 $e0F% $& #e"'ei=% +e+at"$ e$ta+B$ti"$. Razonamientomatem'ti"o Ra,"%amie%t" - +em"$t#ai=%. C"m&%iai=% matemtia. Re$"'&i=% +e (#"1'ema$. Re$&e'8e e!e#ii"$ $"1#e "(e#a+"#e$ matemti"$ -$e&e%ia 0#>a. I+e%ti>a "% 'a#i+a+ e' (at#=% +e a%a'"0Ba$%&ma$. Re$&e'8e e!e#ii"$ +e +i$t#i1&i"%e$ %&m%ii=%-#e$"'&i=%+eP"te%iai=%-'&'"+e("te%ia$9"(e#ai"%e$ "m1i%a+a$.(#"1'ema$ - e;etFa e' "#0a%i,a+"# 8i$&a' +e' SND. SESIN NG .*EMA: Ra,"%amie%t" Matemti":E!e#ii"$"%O(e#a+"#e$ Matemti"$- Se&e%ia G#>a9 #e$"'&i=% +e(#"1'ema$SESIN NG 5*EMA:Ra+iai=% +eNFme#"$ Nata'e$:O(e#ai=% i%8e#$a +e P"te%iai=% - '&'"+e #aBe$.SESIN NG /*EMA: MF'ti('"$ - +i8i$"#e$: Ca'&'"+e mF'ti('"$ +e &% %Fme#" %ata'.SESIN NG 2*EMA:MF'ti('"$ - +i8i$"#e$: C'&'" +emF'ti('"$ +e &% %Fme#" - +i8i$"#e$ +e&% %&me#" %ata'9 #ite#i"$ +e+i8i$i1i'i+a+SESIN NG H*EMA: Ra,"%amie%t" Matemti":A%a'"0Ba$%&ma$9 #e$"'&i=%+e (#"1'ema$ SESIN NG 10*EMA: Ra,"%amie%t" Matemti":Di$t#i1&i"%e$ N&m"$e$ta+B$ti"$: Li%ea'9 Ci#&'a# -Pit"0#ama$.SESIN NG 1/*EMA: Ra,"%amie%t" matemti":Re$&e'8e (#"1'ema$ $"1#e ('a%te" +ee&ai"%e$ "% +i8e#$"$ e%&%ia+"$.VI.- +RODUCTO5 Bate#Ba +e !&e0"$ "% %Fme#"$ e%te#"$ KS&+"L&9 #&i0#ama9 $"(a %&m