﻿24:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Propiedades de la potenciación :@0.287495:0.339402:0.609836:0.339402:0.609836:0.317892:0.287495:0.317892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  ,:@0.287495:0.362183:0.320012:0.362183:0.320012:0.345794:0.287495:0.345794:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.350473:0.363054:0.363777:0.363054:0.363777:0.346306:0.350473:0.346306:0.000000
:@0.423759:0.363054:0.436051:0.363054:0.436051:0.346306:0.423759:0.346306:0.000000
∈:@0.333980:0.362861:0.273832:0.362861:0.273832:0.347288:0.333980:0.347288:0.000000
∈:@0.407267:0.362861:0.347119:0.362861:0.347119:0.347288:0.407267:0.347288:0.000000
;:@0.364607:0.362183:0.367813:0.362183:0.367813:0.345794:0.364607:0.345794:0.000000
..:@0.368734:0.362183:0.374981:0.362183:0.374981:0.345794:0.368734:0.345794:0.000000:0.000000
,:@0.390092:0.362183:0.393299:0.362183:0.393299:0.345794:0.390092:0.345794:0.000000
ab:@0.306910:0.362183:0.330626:0.362183:0.330626:0.345822:0.306910:0.345822:0.000000:0.000000
mn:@0.375184:0.362183:0.404539:0.362183:0.404539:0.345822:0.375184:0.345822:0.000000:0.000000
 se cumplen las siguientes propiedades::@0.439626:0.362183:0.730944:0.362183:0.730944:0.345794:0.439626:0.345794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.384912:0.400550:0.394017:0.400550:0.394017:0.386534:0.384912:0.386534:0.000000
=:@0.480789:0.400550:0.489895:0.400550:0.489895:0.386534:0.480789:0.386534:0.000000
+:@0.413086:0.393398:0.418363:0.393398:0.418363:0.385275:0.413086:0.385275:0.000000
+:@0.517498:0.393398:0.522775:0.393398:0.522775:0.385275:0.517498:0.385275:0.000000
aa:@0.349809:0.399940:0.375300:0.399940:0.375300:0.385215:0.349809:0.385215:0.000000:0.000000
a:@0.396645:0.399940:0.404987:0.399940:0.404987:0.385215:0.396645:0.385215:0.000000
a a:@0.434293:0.399940:0.465489:0.399940:0.465489:0.385215:0.434293:0.385215:0.000000:0.000000:0.000000
a:@0.492539:0.399940:0.500881:0.399940:0.500881:0.385215:0.492539:0.385215:0.000000
m:@0.358668:0.393044:0.366300:0.393044:0.366300:0.384510:0.358668:0.384510:0.000000
n:@0.376007:0.393044:0.380967:0.393044:0.380967:0.384510:0.376007:0.384510:0.000000
mn:@0.405506:0.393044:0.423614:0.393044:0.423614:0.384510:0.405506:0.384510:0.000000:0.000000
m:@0.448855:0.393044:0.456486:0.393044:0.456486:0.384510:0.448855:0.384510:0.000000
n:@0.471894:0.393044:0.476853:0.393044:0.476853:0.384510:0.471894:0.384510:0.000000
mn:@0.509918:0.393044:0.528026:0.393044:0.528026:0.384510:0.509918:0.384510:0.000000:0.000000
;:@0.425431:0.399940:0.428317:0.399940:0.428317:0.385190:0.425431:0.385190:0.000000
,:@0.429859:0.399940:0.432745:0.399940:0.432745:0.385190:0.429859:0.385190:0.000000
–:@0.443336:0.393044:0.448142:0.393044:0.448142:0.384496:0.443336:0.384496:0.000000
–:@0.466193:0.393044:0.470999:0.393044:0.470999:0.384496:0.466193:0.384496:0.000000
–(:@0.501573:0.393044:0.508926:0.393044:0.508926:0.384496:0.501573:0.384496:0.000000:0.000000
):@0.528755:0.393044:0.531302:0.393044:0.531302:0.384496:0.528755:0.384496:0.000000
( ) ( ):@0.679332:0.405501:0.765988:0.405501:0.765988:0.383356:0.679332:0.383356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.724468:0.401256:0.733573:0.401256:0.733573:0.387241:0.724468:0.387241:0.000000
=:@0.781006:0.401256:0.790111:0.401256:0.790111:0.387241:0.781006:0.387241:0.000000
–:@0.694503:0.393751:0.699309:0.393751:0.699309:0.385202:0.694503:0.385202:0.000000
–:@0.766399:0.390642:0.771204:0.390642:0.771204:0.382093:0.766399:0.382093:0.000000
–:@0.801779:0.393751:0.806585:0.393751:0.806585:0.385202:0.801779:0.385202:0.000000
a:@0.685457:0.400647:0.693799:0.400647:0.693799:0.385921:0.685457:0.385921:0.000000
a:@0.741995:0.400647:0.750337:0.400647:0.750337:0.385921:0.741995:0.385921:0.000000
a:@0.792745:0.400647:0.801087:0.400647:0.801087:0.385921:0.792745:0.385921:0.000000
m:@0.700017:0.393751:0.707648:0.393751:0.707648:0.385217:0.700017:0.385217:0.000000
n:@0.715568:0.390642:0.720528:0.390642:0.720528:0.382108:0.715568:0.382108:0.000000
m:@0.750862:0.393751:0.758494:0.393751:0.758494:0.385217:0.750862:0.385217:0.000000
n:@0.772114:0.390642:0.777073:0.390642:0.777073:0.382108:0.772114:0.382108:0.000000
mn:@0.807312:0.393751:0.819855:0.393751:0.819855:0.385217:0.807312:0.385217:0.000000:0.000000
=:@0.415569:0.447357:0.424674:0.447357:0.424674:0.433341:0.415569:0.433341:0.000000
≠:@0.471692:0.447357:0.480797:0.447357:0.480797:0.433341:0.471692:0.433341:0.000000
a:@0.393661:0.439079:0.402003:0.439079:0.402003:0.424354:0.393661:0.424354:0.000000
a:@0.394987:0.456580:0.403330:0.456580:0.403330:0.441855:0.394987:0.441855:0.000000
a:@0.427301:0.446747:0.435643:0.446747:0.435643:0.432022:0.427301:0.432022:0.000000
a:@0.460653:0.446747:0.468995:0.446747:0.468995:0.432022:0.460653:0.432022:0.000000
m:@0.402517:0.432178:0.410149:0.432178:0.410149:0.423644:0.402517:0.423644:0.000000
n:@0.404025:0.449682:0.408985:0.449682:0.408985:0.441148:0.404025:0.441148:0.000000
mn:@0.436157:0.439849:0.454400:0.439849:0.454400:0.431315:0.436157:0.431315:0.000000:0.000000
,:@0.456231:0.446747:0.459116:0.446747:0.459116:0.431997:0.456231:0.431997:0.000000
0:@0.483082:0.446747:0.491175:0.446747:0.491175:0.431997:0.483082:0.431997:0.000000
–:@0.444122:0.439851:0.448928:0.439851:0.448928:0.431303:0.444122:0.431303:0.000000
( ):@0.703265:0.446894:0.732106:0.446894:0.732106:0.428954:0.703265:0.428954:0.000000:0.000000:0.000000
=:@0.744069:0.444685:0.753174:0.444685:0.753174:0.430669:0.744069:0.430669:0.000000
ab:@0.709390:0.444075:0.726024:0.444075:0.726024:0.429350:0.709390:0.429350:0.000000:0.000000
ab:@0.755794:0.444075:0.780953:0.444075:0.780953:0.429350:0.755794:0.429350:0.000000:0.000000
m:@0.732335:0.435482:0.739967:0.435482:0.739967:0.426948:0.732335:0.426948:0.000000
mm:@0.764659:0.437177:0.789111:0.437177:0.789111:0.428643:0.764659:0.428643:0.000000:0.000000
( ):@0.404826:0.500616:0.434944:0.500616:0.434944:0.478471:0.404826:0.478471:0.000000:0.000000:0.000000
=:@0.444263:0.496371:0.453368:0.496371:0.453368:0.482356:0.444263:0.482356:0.000000
a:@0.410952:0.495761:0.419294:0.495761:0.419294:0.481036:0.410952:0.481036:0.000000
a:@0.455997:0.495761:0.464339:0.495761:0.464339:0.481036:0.455997:0.481036:0.000000
m:@0.419809:0.488866:0.427441:0.488866:0.427441:0.480332:0.419809:0.480332:0.000000
n:@0.435361:0.485756:0.440321:0.485756:0.440321:0.477222:0.435361:0.477222:0.000000
mn:@0.464859:0.488866:0.477402:0.488866:0.477402:0.480332:0.464859:0.480332:0.000000:0.000000
⎛ ⎞:@0.687444:0.488351:0.712852:0.488351:0.712852:0.474335:0.687444:0.474335:0.000000:0.000000:0.000000
⎝ ⎠:@0.687444:0.506487:0.712852:0.506487:0.712852:0.492471:0.687444:0.492471:0.000000:0.000000:0.000000
⎜ ⎟ =:@0.687444:0.498147:0.733450:0.497014:0.733450:0.482999:0.687444:0.484131:0.000000:0.000000:0.000000:0.000000:0.000000
≠:@0.777782:0.497014:0.786887:0.497014:0.786887:0.482999:0.777782:0.482999:0.000000
a:@0.695935:0.488737:0.704277:0.488737:0.704277:0.474883:0.695935:0.474883:0.000000
b:@0.695753:0.506238:0.704095:0.506238:0.704095:0.492384:0.695753:0.492384:0.000000
a:@0.737397:0.488737:0.745740:0.488737:0.745740:0.474883:0.737397:0.474883:0.000000
b:@0.737248:0.506238:0.745590:0.506238:0.745590:0.492384:0.737248:0.492384:0.000000
b:@0.766736:0.496404:0.775078:0.496404:0.775078:0.482550:0.766736:0.482550:0.000000
m:@0.712604:0.480033:0.720236:0.480033:0.720236:0.472004:0.712604:0.472004:0.000000
m:@0.746245:0.481836:0.753877:0.481836:0.753877:0.473807:0.746245:0.473807:0.000000
m:@0.746101:0.499344:0.753733:0.499344:0.753733:0.491315:0.746101:0.491315:0.000000
;:@0.758213:0.496405:0.761098:0.496405:0.761098:0.482302:0.758213:0.482302:0.000000
,:@0.762641:0.496405:0.765527:0.496405:0.765527:0.482302:0.762641:0.482302:0.000000
0:@0.789160:0.496405:0.797253:0.496405:0.797253:0.482302:0.789160:0.482302:0.000000
Propiedades de la radicación:@0.287495:0.547005:0.578104:0.547005:0.578104:0.525495:0.287495:0.525495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalización :@0.287495:0.681539:0.450614:0.681539:0.450614:0.660029:0.287495:0.660029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 1::@0.287495:0.704327:0.342078:0.704327:0.342078:0.687703:0.287495:0.687703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuando el denominador de una fracción es un monomio, se multiplican los :@0.342078:0.704327:0.907742:0.704327:0.907742:0.687939:0.342078:0.687939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos de la fracción por el radical del mismo índice que el denominador, que :@0.287495:0.720924:0.907622:0.720924:0.907622:0.704535:0.287495:0.704535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al multiplicar dé como producto una cantidad racional.:@0.287495:0.737520:0.690281:0.737520:0.690281:0.721131:0.287495:0.721131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.328800:0.780379:0.338917:0.780379:0.338917:0.764806:0.328800:0.764806:0.000000
⋅:@0.379218:0.780379:0.383825:0.780379:0.383825:0.764806:0.379218:0.764806:0.000000
=:@0.424292:0.780379:0.434409:0.780379:0.434409:0.764806:0.424292:0.764806:0.000000
3:@0.303886:0.771182:0.312879:0.771182:0.312879:0.754793:0.303886:0.754793:0.000000
2:@0.304089:0.791333:0.313081:0.791333:0.313081:0.774944:0.304089:0.774944:0.000000
3:@0.355244:0.771182:0.364236:0.771182:0.364236:0.754793:0.355244:0.754793:0.000000
2:@0.355446:0.791333:0.364439:0.791333:0.364439:0.774944:0.355446:0.774944:0.000000
2:@0.399581:0.771182:0.408573:0.771182:0.408573:0.754793:0.399581:0.754793:0.000000
2:@0.399581:0.791333:0.408573:0.791333:0.408573:0.774944:0.399581:0.774944:0.000000
32:@0.438426:0.771182:0.468316:0.771182:0.468316:0.754793:0.438426:0.754793:0.000000:0.000000
2:@0.449575:0.790627:0.458568:0.790627:0.458568:0.774238:0.449575:0.774238:0.000000
x:@0.314353:0.791333:0.321816:0.791333:0.321816:0.774971:0.314353:0.774971:0.000000
x:@0.365711:0.791333:0.373174:0.791333:0.373174:0.774971:0.365711:0.774971:0.000000
x:@0.409845:0.771182:0.417308:0.771182:0.417308:0.754821:0.409845:0.754821:0.000000
x:@0.409845:0.791333:0.417308:0.791333:0.417308:0.774971:0.409845:0.774971:0.000000
x:@0.469569:0.771182:0.477032:0.771182:0.477032:0.754821:0.469569:0.754821:0.000000
x:@0.459839:0.790627:0.467302:0.790627:0.467302:0.774266:0.459839:0.774266:0.000000
Caso 2::@0.287504:0.819768:0.341276:0.819768:0.341276:0.803144:0.287504:0.803144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuando el denominador de una fracción es un binomio que contiene radica-:@0.341276:0.819768:0.903577:0.819768:0.903577:0.803379:0.341276:0.803379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les de segundo grado, se multiplican los términos de la fracción por la conjugada del :@0.287504:0.836364:0.907787:0.836364:0.907787:0.819975:0.287504:0.819975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador y se simplifica el resultado.:@0.287504:0.852961:0.586284:0.852961:0.586284:0.836572:0.287504:0.836572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.472827:0.852961:0.476863:0.852961:0.476863:0.836572:0.472827:0.836572:0.000000
+:@0.301998:0.908693:0.312115:0.908693:0.312115:0.893120:0.301998:0.893120:0.000000
=⎜:@0.349486:0.897062:0.368817:0.897297:0.368817:0.881724:0.349486:0.881489:0.000000:0.000000
+:@0.381366:0.908693:0.391483:0.908693:0.391483:0.893120:0.381366:0.893120:0.000000
⎛:@0.361740:0.884448:0.368817:0.884448:0.368817:0.868875:0.361740:0.868875:0.000000
⎝:@0.361740:0.910574:0.368817:0.910574:0.368817:0.895001:0.361740:0.895001:0.000000
⎞⎛:@0.426864:0.884448:0.441163:0.884448:0.441163:0.868875:0.426864:0.868875:0.000000:0.000000
⎠⎝:@0.426864:0.910574:0.441163:0.910574:0.441163:0.895001:0.426864:0.895001:0.000000:0.000000
⎟⎜:@0.426864:0.897297:0.441163:0.897297:0.441163:0.881724:0.426864:0.881724:0.000000:0.000000
⎞:@0.499579:0.884448:0.506655:0.884448:0.506655:0.868875:0.499579:0.868875:0.000000
⎠:@0.499579:0.910574:0.506655:0.910574:0.506655:0.895001:0.499579:0.895001:0.000000
⎟=:@0.499579:0.897297:0.429105:0.897063:0.429105:0.881490:0.499579:0.881724:0.000000:0.000000
=:@0.598571:0.897063:0.518890:0.897063:0.518890:0.881490:0.598571:0.881490:0.000000
4– 2:@0.295403:0.887859:0.340722:0.887859:0.340722:0.872190:0.295403:0.872190:0.000000:0.000000:0.000000:0.000000
2 5 2:@0.291422:0.908010:0.344024:0.908010:0.344024:0.892340:0.291422:0.892340:0.000000:0.000000:0.000000:0.000000:0.000000
4– 2:@0.374770:0.887859:0.420089:0.887859:0.420089:0.872190:0.374770:0.872190:0.000000:0.000000:0.000000:0.000000
2 5 2:@0.370790:0.908010:0.423392:0.908010:0.423392:0.892340:0.370790:0.892340:0.000000:0.000000:0.000000:0.000000:0.000000
2–5 2:@0.443137:0.887859:0.496105:0.887859:0.496105:0.872190:0.443137:0.872190:0.000000:0.000000:0.000000:0.000000:0.000000
2–5 2:@0.443137:0.908010:0.496105:0.908010:0.496105:0.892340:0.443137:0.892340:0.000000:0.000000:0.000000:0.000000:0.000000
18–22 2:@0.521768:0.887859:0.593101:0.887859:0.593101:0.872190:0.521768:0.872190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–46:@0.545226:0.907305:0.572223:0.907305:0.572223:0.891635:0.545226:0.891635:0.000000:0.000000:0.000000
11 2 –9:@0.611547:0.887859:0.672467:0.887859:0.672467:0.872190:0.611547:0.872190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
23:@0.634066:0.907305:0.651848:0.907305:0.651848:0.891635:0.634066:0.891635:0.000000:0.000000
nidad de conocimientos:@0.306727:0.307382:0.480398:0.307382:0.480398:0.292018:0.306727:0.292018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.308170:0.297460:0.308170:0.297460:0.291034:0.284892:0.291034:0.000000
Pienso y progreso:@0.294883:0.244710:0.417347:0.244710:0.417347:0.229346:0.294883:0.229346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué los ingenieros y arquitectos deben hacer los cálculos con precisión?:@0.294883:0.263361:0.806428:0.263361:0.806428:0.248462:0.294883:0.248462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un estudiante de arquitectura está calculando la diagonal de una ventana cuadrada :@0.287495:0.168345:0.907639:0.168345:0.907639:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para hacer una maqueta a escala. Cada lado de la ventana mide :@0.287495:0.185163:0.757339:0.185163:0.757339:0.168774:0.287495:0.168774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.769105:0.184471:0.778098:0.184471:0.778098:0.168801:0.769105:0.168801:0.000000
 metros. :@0.778644:0.185160:0.841353:0.185160:0.841353:0.168771:0.778644:0.168771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué medida tiene la diagonal de la ventana?:@0.287492:0.208879:0.621506:0.208879:0.621506:0.192490:0.287492:0.192490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.293345:0.068421:0.250519:0.056510:0.250519:0.056510:0.293345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles son los elementos :@0.069204:0.192000:0.247832:0.192000:0.247832:0.177101:0.069204:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la potenciación?:@0.114268:0.207088:0.244165:0.207088:0.244165:0.192189:0.114268:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades algebraicas :@0.286308:0.060073:0.654639:0.060073:0.654639:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la potenciación y radicación:@0.286308:0.090250:0.741065:0.090250:0.741065:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
=:@0.392607:0.589589:0.401712:0.589589:0.401712:0.575573:0.392607:0.575573:0.000000
≥:@0.467852:0.589589:0.476957:0.589589:0.476957:0.575573:0.467852:0.575573:0.000000
≥:@0.502953:0.589589:0.512058:0.589589:0.512058:0.575573:0.502953:0.575573:0.000000
;:@0.446979:0.588979:0.449865:0.588979:0.449865:0.574229:0.446979:0.574229:0.000000
..:@0.450694:0.588979:0.456316:0.588979:0.456316:0.574229:0.450694:0.574229:0.000000:0.000000
0,:@0.479253:0.588979:0.490713:0.588979:0.490713:0.574229:0.479253:0.574229:0.000000:0.000000
0:@0.514347:0.588979:0.522440:0.588979:0.522440:0.574229:0.514347:0.574229:0.000000
ab:@0.371966:0.588979:0.388600:0.588979:0.388600:0.574254:0.371966:0.574254:0.000000:0.000000
ab a:@0.415601:0.588979:0.465173:0.588979:0.465173:0.574254:0.415601:0.574254:0.000000:0.000000:0.000000:0.000000
b:@0.491941:0.588979:0.500283:0.588979:0.500283:0.574254:0.491941:0.574254:0.000000
=:@0.724008:0.586854:0.733113:0.586854:0.733113:0.572839:0.724008:0.572839:0.000000
>:@0.781441:0.586854:0.790546:0.586854:0.790546:0.572839:0.781441:0.572839:0.000000
;:@0.760900:0.586244:0.763786:0.586244:0.763786:0.571494:0.760900:0.571494:0.000000
..:@0.764615:0.586244:0.770237:0.586244:0.770237:0.571494:0.764615:0.571494:0.000000:0.000000
0:@0.792842:0.586244:0.800936:0.586244:0.800936:0.571494:0.792842:0.571494:0.000000
a:@0.710349:0.578577:0.718691:0.578577:0.718691:0.563852:0.710349:0.563852:0.000000
b:@0.710155:0.596074:0.718497:0.596074:0.718497:0.581349:0.710155:0.581349:0.000000
a:@0.748319:0.578571:0.756661:0.578571:0.756661:0.563846:0.748319:0.563846:0.000000
b:@0.748178:0.596711:0.756520:0.596711:0.756520:0.581986:0.748178:0.581986:0.000000
b:@0.770417:0.586244:0.778759:0.586244:0.778759:0.571519:0.770417:0.571519:0.000000
=:@0.418806:0.634067:0.427911:0.634067:0.427911:0.620051:0.418806:0.620051:0.000000
>:@0.476571:0.634067:0.485676:0.634067:0.485676:0.620051:0.476571:0.620051:0.000000
1:@0.401041:0.625783:0.409135:0.625783:0.409135:0.611033:0.401041:0.611033:0.000000
;:@0.455689:0.633450:0.458574:0.633450:0.458574:0.618700:0.455689:0.618700:0.000000
..:@0.459404:0.633450:0.465026:0.633450:0.465026:0.618700:0.459404:0.618700:0.000000:0.000000
0:@0.487963:0.633450:0.496056:0.633450:0.496056:0.618700:0.487963:0.618700:0.000000
a:@0.405138:0.643918:0.413480:0.643918:0.413480:0.629193:0.405138:0.629193:0.000000
a:@0.443117:0.625783:0.451460:0.625783:0.451460:0.611057:0.443117:0.611057:0.000000
a:@0.438175:0.643283:0.446517:0.643283:0.446517:0.628558:0.438175:0.628558:0.000000
a:@0.465557:0.633450:0.473899:0.633450:0.473899:0.618725:0.465557:0.618725:0.000000
<:@0.713077:0.634893:0.669409:0.634893:0.669409:0.620877:0.713077:0.620877:0.000000
<:@0.765850:0.634893:0.722182:0.634893:0.722182:0.620877:0.765850:0.620877:0.000000
<:@0.788603:0.634893:0.797708:0.634893:0.797708:0.620877:0.788603:0.620877:0.000000
; 0:@0.745963:0.634283:0.763245:0.634283:0.763245:0.619533:0.745963:0.619533:0.000000:0.000000:0.000000
..:@0.749678:0.634283:0.755301:0.634283:0.755301:0.619533:0.749678:0.619533:0.000000:0.000000
a:@0.700720:0.634283:0.709062:0.634283:0.709062:0.619558:0.700720:0.619558:0.000000
b:@0.735731:0.634283:0.744073:0.634283:0.744073:0.619558:0.735731:0.619558:0.000000
ab:@0.777578:0.634283:0.808343:0.634283:0.808343:0.619558:0.777578:0.619558:0.000000:0.000000
En arquitectura, :@0.156477:0.398588:0.253994:0.398588:0.253994:0.385179:0.156477:0.385179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las matemáticas son :@0.129428:0.411160:0.253994:0.411160:0.253994:0.397751:0.129428:0.397751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de gran utilidad.:@0.153250:0.423732:0.250692:0.423732:0.250692:0.410323:0.153250:0.410323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.578465:0.068421:0.535640:0.056510:0.535640:0.056510:0.578465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así como en matemática :@0.078609:0.546136:0.248426:0.546136:0.248426:0.531237:0.078609:0.531237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usamos intervalos para :@0.091374:0.561224:0.248426:0.561224:0.248426:0.546325:0.091374:0.546325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
marcar cuándo empieza :@0.083266:0.576312:0.248428:0.576312:0.248428:0.561413:0.083266:0.561413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algo o termina, en la vida :@0.077285:0.591399:0.248426:0.591399:0.248426:0.576500:0.077285:0.576500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también atravesamos :@0.101191:0.606487:0.248426:0.606487:0.248426:0.591588:0.101191:0.591588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
momentos emocionales :@0.082244:0.621574:0.248426:0.621574:0.248426:0.606675:0.082244:0.606675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con sus propios límites. :@0.089715:0.636662:0.248426:0.636662:0.248426:0.621763:0.089715:0.621763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocer cuándo :@0.118630:0.651750:0.248428:0.651750:0.248428:0.636851:0.118630:0.636851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesitamos una pausa o :@0.075643:0.666837:0.248428:0.666837:0.248428:0.651938:0.075643:0.651938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuándo cuidarnos nos :@0.096517:0.681925:0.248426:0.681925:0.248426:0.667026:0.096517:0.667026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a entendernos y a :@0.081289:0.697012:0.248426:0.697012:0.248426:0.682113:0.081289:0.682113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convivir mejor con los :@0.098108:0.712100:0.248428:0.712100:0.248428:0.697201:0.098108:0.697201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demás.:@0.197216:0.727188:0.244759:0.727188:0.244759:0.712289:0.197216:0.712289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabes canalizar :@0.139788:0.865843:0.247773:0.865843:0.247773:0.850969:0.139788:0.850969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tus emociones?:@0.147612:0.880930:0.244759:0.880930:0.244759:0.866057:0.147612:0.866057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.099590:0.513694:0.238362:0.513694:0.238362:0.496794:0.099590:0.496794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.2. :@0.298180:0.946788:0.346239:0.946788:0.346239:0.934496:0.298180:0.934496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Deducir propiedades algebraicas de la potenciación de números reales con exponentes enteros en la :@0.347471:0.946788:0.906517:0.946788:0.906517:0.934868:0.347471:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplificación de expresiones numéricas y algebraicas.:@0.298180:0.958103:0.587442:0.958103:0.587442:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.333238:0.958103:0.336173:0.958103:0.336173:0.946184:0.333238:0.946184:0.000000