﻿89:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico:@0.721207:0.043660:0.926911:0.043660:0.926911:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No son lo mismo una :@0.740548:0.182558:0.885313:0.182558:0.885313:0.167619:0.740548:0.167619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracción y una razón.:@0.740548:0.197687:0.876153:0.197687:0.876153:0.182748:0.740548:0.182748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   es una fracción, :@0.740548:0.226798:0.881481:0.226799:0.881481:0.211859:0.740548:0.211858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.759016:0.220111:0.768274:0.220111:0.768274:0.203705:0.759016:0.203705:0.000000
b:@0.759016:0.234090:0.768274:0.234090:0.768274:0.217684:0.759016:0.217684:0.000000
entonces a y b son :@0.740548:0.241928:0.867886:0.241928:0.867886:0.226988:0.740548:0.226988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números enteros, en :@0.740548:0.257057:0.879868:0.257057:0.879868:0.242117:0.740548:0.242117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde b ≠ 0; mientras :@0.740548:0.272186:0.890249:0.272186:0.890249:0.257246:0.740548:0.257246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que en la razón :@0.740548:0.295043:0.845513:0.295043:0.845513:0.280104:0.740548:0.280104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.850890:0.287462:0.860148:0.287462:0.860148:0.271056:0.850890:0.271056:0.000000
b:@0.850890:0.301442:0.860148:0.301442:0.860148:0.285036:0.850890:0.285036:0.000000
 ,   y :@0.865609:0.295045:0.898608:0.295045:0.898608:0.280105:0.865609:0.280105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.875632:0.295045:0.884049:0.295045:0.884049:0.280130:0.875632:0.280130:0.000000
b:@0.740540:0.310174:0.748957:0.310174:0.748957:0.295259:0.740540:0.295259:0.000000
 pueden ser números :@0.748890:0.310174:0.893633:0.310174:0.893633:0.295234:0.748890:0.295234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimales.:@0.740540:0.325302:0.810037:0.325302:0.810037:0.310363:0.740540:0.310363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe con tus palabras la :@0.740540:0.343999:0.917291:0.343999:0.917291:0.329059:0.740540:0.329059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia que hay entre :@0.740540:0.359128:0.903906:0.359128:0.903906:0.344188:0.740540:0.344188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una razón y una fracción.:@0.740540:0.374257:0.904993:0.374257:0.904993:0.359317:0.740540:0.359317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740548:0.144831:0.849109:0.144831:0.849109:0.127884:0.740548:0.127884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740548:0.161472:0.838024:0.161472:0.838024:0.144526:0.740548:0.144526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.3 Proporción:@0.073089:0.136836:0.188276:0.136836:0.188276:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Susana y sus amigos necesitan hacer un :@0.073089:0.171347:0.373053:0.171347:0.373053:0.154913:0.073089:0.154913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pastel. La razón entre la cantidad de :@0.073089:0.187988:0.372652:0.187988:0.372652:0.171555:0.073089:0.171555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
harina y azúcar es de 8 a 4. Si se utilizan :@0.073089:0.204630:0.372949:0.204630:0.372949:0.188196:0.073089:0.188196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24 porciones de harina, ¿cuántas :@0.073089:0.221272:0.372879:0.221272:0.372879:0.204838:0.073089:0.204838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
porciones de azúcar se deben utilizar?:@0.073089:0.237914:0.348658:0.237914:0.348658:0.221480:0.073089:0.221480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para  conocer  cuántas  porciones  de  azúcar  se  deben  utilizar,  se  analiza  la  :@0.073089:0.272418:0.710366:0.272418:0.710366:0.255984:0.073089:0.255984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente tabla.:@0.073089:0.289060:0.180561:0.289060:0.180561:0.272626:0.073089:0.272626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Harina:@0.104640:0.327738:0.157138:0.327738:0.157138:0.310791:0.104640:0.310791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.231613:0.327738:0.240596:0.327738:0.240596:0.311304:0.231613:0.311304:0.000000
12:@0.322030:0.327738:0.339922:0.327738:0.339922:0.311304:0.322030:0.311304:0.000000:0.000000
16:@0.416901:0.327738:0.434793:0.327738:0.434793:0.311304:0.416901:0.311304:0.000000:0.000000
20:@0.511772:0.327738:0.529664:0.327738:0.529664:0.311304:0.511772:0.311304:0.000000:0.000000
24:@0.608704:0.327738:0.626596:0.327738:0.626596:0.311304:0.608704:0.311304:0.000000:0.000000
Azúcar:@0.103701:0.348222:0.158093:0.348222:0.158093:0.331275:0.103701:0.331275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.231632:0.348222:0.240614:0.348222:0.240614:0.331788:0.231632:0.331788:0.000000
6:@0.326503:0.348222:0.335485:0.348222:0.335485:0.331788:0.326503:0.331788:0.000000
8:@0.421374:0.348222:0.430356:0.348222:0.430356:0.331788:0.421374:0.331788:0.000000
10:@0.511790:0.348222:0.529682:0.348222:0.529682:0.331788:0.511790:0.331788:0.000000:0.000000
12:@0.608723:0.348222:0.626615:0.348222:0.626615:0.331788:0.608723:0.331788:0.000000:0.000000
Analicemos si existe una proporción entre la cantidad de harina y la cantidad de azúcar.:@0.073108:0.383045:0.705153:0.383045:0.705153:0.366611:0.073108:0.366611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.273685:0.417668:0.282668:0.417668:0.282668:0.401235:0.273685:0.401235:0.000000
4:@0.273685:0.435212:0.282668:0.435212:0.282668:0.418778:0.273685:0.418778:0.000000
   :@0.288091:0.424671:0.309584:0.424671:0.309584:0.408237:0.288091:0.408237:0.000000:0.000000:0.000000
5:@0.290312:0.424116:0.305645:0.424116:0.305645:0.410400:0.290312:0.410400:0.000000
8:@0.318707:0.417668:0.327690:0.417668:0.327690:0.401235:0.318707:0.401235:0.000000
24:@0.314253:0.435212:0.332145:0.435212:0.332145:0.418778:0.314253:0.418778:0.000000:0.000000
    ó    8 : 4 :: 24 : 12:@0.338544:0.424671:0.511351:0.424671:0.511351:0.408237:0.338544:0.408237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.4 Constante de proporcionalidad:@0.073089:0.459182:0.346129:0.459182:0.346129:0.442235:0.073089:0.442235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.232203:0.493800:0.241186:0.493800:0.241186:0.477366:0.232203:0.477366:0.000000
4:@0.232203:0.511343:0.241186:0.511343:0.241186:0.494909:0.232203:0.494909:0.000000
   :@0.246004:0.500802:0.267497:0.500802:0.267497:0.484368:0.246004:0.484368:0.000000:0.000000:0.000000
5:@0.248224:0.500247:0.263558:0.500247:0.263558:0.486532:0.248224:0.486532:0.000000
12:@0.272013:0.493800:0.289905:0.493800:0.289905:0.477366:0.272013:0.477366:0.000000:0.000000
6:@0.276468:0.511343:0.285450:0.511343:0.285450:0.494909:0.276468:0.494909:0.000000
   :@0.296145:0.500802:0.317638:0.500802:0.317638:0.484368:0.296145:0.484368:0.000000:0.000000:0.000000
5:@0.298366:0.500247:0.313699:0.500247:0.313699:0.486532:0.298366:0.486532:0.000000
16:@0.322155:0.493800:0.340046:0.493800:0.340046:0.477366:0.322155:0.477366:0.000000:0.000000
8:@0.326609:0.511343:0.335592:0.511343:0.335592:0.494909:0.326609:0.494909:0.000000
   :@0.346285:0.500802:0.367778:0.500802:0.367778:0.484368:0.346285:0.484368:0.000000:0.000000:0.000000
5:@0.348505:0.500247:0.363839:0.500247:0.363839:0.486532:0.348505:0.486532:0.000000
20:@0.372294:0.493800:0.390186:0.493800:0.390186:0.477366:0.372294:0.477366:0.000000:0.000000
10:@0.372294:0.511343:0.390186:0.511343:0.390186:0.494909:0.372294:0.494909:0.000000:0.000000
   :@0.396426:0.500802:0.417919:0.500802:0.417919:0.484368:0.396426:0.484368:0.000000:0.000000:0.000000
5:@0.398647:0.500247:0.413980:0.500247:0.413980:0.486532:0.398647:0.486532:0.000000
24:@0.422436:0.493800:0.440327:0.493800:0.440327:0.477366:0.422436:0.477366:0.000000:0.000000
12:@0.422436:0.511343:0.440327:0.511343:0.440327:0.494909:0.422436:0.494909:0.000000:0.000000
   2    k   2:@0.446566:0.500802:0.552131:0.500802:0.552131:0.484368:0.446566:0.484368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.448786:0.500247:0.464120:0.500247:0.464120:0.486532:0.448786:0.486532:0.000000
5:@0.525680:0.500247:0.541013:0.500247:0.541013:0.486532:0.525680:0.486532:0.000000
Una proporción es la igualdad entre dos fracciones que tienen igual razón. :@0.080125:0.548756:0.622502:0.548756:0.622502:0.532322:0.080125:0.532322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.085022:0.576225:0.094281:0.576225:0.094281:0.559819:0.085022:0.559819:0.000000
b:@0.085022:0.593768:0.094281:0.593768:0.094281:0.577362:0.085022:0.577362:0.000000
   :@0.099103:0.583228:0.122333:0.583228:0.122333:0.566794:0.099103:0.566794:0.000000:0.000000:0.000000
5:@0.103061:0.582673:0.118394:0.582673:0.118394:0.568958:0.103061:0.568958:0.000000
c:@0.128739:0.576225:0.136397:0.576225:0.136397:0.559819:0.128739:0.559819:0.000000
d:@0.127948:0.593768:0.137207:0.593768:0.137207:0.577362:0.127948:0.577362:0.000000
   ó  :@0.142816:0.583228:0.211567:0.583228:0.211567:0.566794:0.142816:0.566794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c d:@0.225834:0.583228:0.297236:0.583228:0.297236:0.566822:0.225834:0.566822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :   ::   :   ==>  y   son extremos,   y  son medios.:@0.235020:0.583228:0.596715:0.583228:0.596715:0.566794:0.235020:0.566794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a d:@0.330093:0.583228:0.364459:0.583228:0.364459:0.566822:0.330093:0.566822:0.000000:0.000000:0.000000
b c :@0.473430:0.583228:0.509435:0.583228:0.509435:0.566822:0.473430:0.566822:0.000000:0.000000:0.000000:0.000000
4.5 Propiedad fundamental de las proporciones:@0.073036:0.639880:0.446563:0.639880:0.446563:0.622933:0.073036:0.622933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En toda proporción, el producto de los extremos siempre es igual al producto de sus :@0.073036:0.674384:0.710380:0.674384:0.710380:0.657950:0.073036:0.657950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medios.:@0.073036:0.691026:0.130109:0.691026:0.130109:0.674592:0.073036:0.674592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.081642:0.725648:0.090625:0.725648:0.090625:0.709214:0.081642:0.709214:0.000000
4:@0.081642:0.743192:0.090625:0.743192:0.090625:0.726758:0.081642:0.726758:0.000000
   :@0.099097:0.732650:0.120590:0.732650:0.120590:0.716217:0.099097:0.716217:0.000000:0.000000:0.000000
5:@0.101317:0.732096:0.116651:0.732096:0.116651:0.718380:0.101317:0.718380:0.000000
24:@0.125106:0.725648:0.142998:0.725648:0.142998:0.709214:0.125106:0.709214:0.000000:0.000000
12:@0.125106:0.743192:0.142998:0.743192:0.142998:0.726758:0.125106:0.726758:0.000000:0.000000
 extremos: 8   12   96; medios: 4   24   96. Entonces: 96   96.:@0.149238:0.732650:0.607348:0.732650:0.607348:0.716217:0.149238:0.716217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.239379:0.732096:0.254712:0.732096:0.254712:0.718380:0.239379:0.718380:0.000000
5:@0.278596:0.732096:0.293930:0.732096:0.293930:0.718380:0.278596:0.718380:0.000000
3:@0.394898:0.732096:0.410232:0.732096:0.410232:0.718380:0.394898:0.718380:0.000000
5:@0.432384:0.732096:0.447717:0.732096:0.447717:0.718380:0.432384:0.718380:0.000000
5:@0.568859:0.732096:0.584192:0.732096:0.584192:0.718380:0.568859:0.718380:0.000000
2   2. El valor de la razón es igual.:@0.073089:0.768171:0.317994:0.768171:0.317994:0.751737:0.073089:0.751737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.085937:0.767616:0.101270:0.767616:0.101270:0.753900:0.085937:0.753900:0.000000
4.6 Cuarto desconocido :@0.073089:0.802675:0.262417:0.802675:0.262417:0.785728:0.073089:0.785728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es cualquiera de los términos de una proporción. Se representa con cualquier letra :@0.073089:0.837179:0.710129:0.837179:0.710129:0.820745:0.073089:0.820745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minúscula del alfabeto.:@0.073089:0.853821:0.240801:0.853821:0.240801:0.837387:0.073089:0.837387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.247910:0.888451:0.257169:0.888451:0.257169:0.872045:0.247910:0.872045:0.000000
8:@0.248057:0.905994:0.257040:0.905994:0.257040:0.889560:0.248057:0.889560:0.000000
   :@0.262938:0.895454:0.284431:0.895454:0.284431:0.879020:0.262938:0.879020:0.000000:0.000000:0.000000
5:@0.265159:0.894899:0.280492:0.894899:0.280492:0.881183:0.265159:0.881183:0.000000
6:@0.293399:0.888451:0.302382:0.888451:0.302382:0.872017:0.293399:0.872017:0.000000
24:@0.288945:0.905994:0.306836:0.905994:0.306836:0.889560:0.288945:0.889560:0.000000:0.000000
 :@0.313080:0.895454:0.317111:0.895454:0.317111:0.879020:0.313080:0.879020:0.000000
   :@0.315299:0.894899:0.356531:0.894899:0.356531:0.881183:0.315299:0.881183:0.000000:0.000000:0.000000
 :@0.370244:0.895454:0.374276:0.895454:0.374276:0.879020:0.370244:0.879020:0.000000
a :@0.372465:0.895454:0.384963:0.895454:0.384963:0.879048:0.372465:0.879048:0.000000:0.000000
5:@0.383892:0.894899:0.399226:0.894899:0.399226:0.881183:0.383892:0.881183:0.000000
 :@0.399134:0.895454:0.403165:0.895454:0.403165:0.879020:0.399134:0.879020:0.000000
6   8:@0.406895:0.888451:0.444467:0.888451:0.444467:0.872017:0.406895:0.872017:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.418016:0.887896:0.433349:0.887896:0.433349:0.874180:0.418016:0.874180:0.000000
24:@0.416736:0.905999:0.434628:0.905999:0.434628:0.889566:0.416736:0.889566:0.000000:0.000000
   :@0.455445:0.895454:0.476936:0.895454:0.476936:0.879020:0.455445:0.879020:0.000000:0.000000:0.000000
5:@0.457664:0.894899:0.472997:0.894899:0.472997:0.881183:0.457664:0.881183:0.000000
48:@0.481453:0.888576:0.499344:0.888576:0.499344:0.872142:0.481453:0.872142:0.000000:0.000000
24:@0.481453:0.906119:0.499344:0.906119:0.499344:0.889685:0.481453:0.889685:0.000000:0.000000
   2.:@0.505585:0.895454:0.537386:0.895454:0.537386:0.879020:0.505585:0.879020:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.507805:0.894899:0.523138:0.894899:0.523138:0.881183:0.507805:0.881183:0.000000
Cátedra de :@0.741944:0.438462:0.831265:0.438462:0.831265:0.421515:0.741944:0.421515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emprendimiento :@0.741944:0.451069:0.878995:0.451069:0.878995:0.434122:0.741944:0.434122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si tienes un negocio de :@0.741944:0.469829:0.900188:0.469829:0.900188:0.454889:0.741944:0.454889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
galletas y descubres que :@0.741944:0.484958:0.907570:0.484958:0.907570:0.470018:0.741944:0.470018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usar el doble de chocolate :@0.741944:0.500087:0.920067:0.500087:0.920067:0.485147:0.741944:0.485147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te permite hacer el doble :@0.741944:0.515216:0.912274:0.515216:0.912274:0.500276:0.741944:0.500276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de galletas, puedes :@0.741944:0.530345:0.872294:0.530345:0.872294:0.515405:0.741944:0.515405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
planear mejor cómo :@0.741944:0.545474:0.880015:0.545474:0.880015:0.530534:0.741944:0.530534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aumentar tu producción. :@0.741944:0.560603:0.910583:0.560603:0.910583:0.545663:0.741944:0.545663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, si usas 1 kilo :@0.741944:0.575732:0.912057:0.575732:0.912057:0.560792:0.741944:0.560792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de chocolate para hacer :@0.741944:0.590861:0.904818:0.590861:0.904818:0.575921:0.741944:0.575921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
100 galletas, usando 2 :@0.741944:0.605990:0.891203:0.605990:0.891203:0.591050:0.741944:0.591050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kilos harás 200 galletas. :@0.741944:0.621119:0.898107:0.621119:0.898107:0.606179:0.741944:0.606179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto te ayuda a calcular :@0.741944:0.636248:0.898989:0.636248:0.898989:0.621308:0.741944:0.621308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuántos ingredientes :@0.741944:0.651377:0.884526:0.651377:0.884526:0.636437:0.741944:0.636437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesitas y cómo :@0.741944:0.666505:0.859683:0.666505:0.859683:0.651566:0.741944:0.651566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incrementar tu producción :@0.741944:0.681634:0.923570:0.681634:0.923570:0.666695:0.741944:0.666695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para vender más. Entender :@0.741944:0.696763:0.922382:0.696763:0.922382:0.681824:0.741944:0.681824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la proporcionalidad te :@0.741944:0.711892:0.890907:0.711892:0.890907:0.696952:0.741944:0.696952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite planificar mejor, :@0.741944:0.727021:0.906227:0.727021:0.906227:0.712081:0.741944:0.712081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producir más y hacer :@0.741944:0.742150:0.884091:0.742150:0.884091:0.727210:0.741944:0.727210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crecer tu negocio de :@0.741944:0.757279:0.882401:0.757279:0.882401:0.742339:0.741944:0.742339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera exitosa. :@0.741944:0.772408:0.848766:0.772408:0.848766:0.757468:0.741944:0.757468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puedes pensar en otra :@0.741944:0.888006:0.898917:0.888006:0.898917:0.873066:0.741944:0.873066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
situación donde usar :@0.741944:0.903135:0.883746:0.903135:0.883746:0.888195:0.741944:0.888195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la proporcionalidad te :@0.741944:0.918264:0.890907:0.918264:0.890907:0.903324:0.741944:0.903324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudaría a planear mejor?:@0.741944:0.933393:0.911128:0.933393:0.911128:0.918453:0.741944:0.918453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Extremos:@0.603111:0.423111:0.670874:0.423111:0.670874:0.406677:0.603111:0.406677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Medios:@0.603682:0.465035:0.657221:0.465035:0.657221:0.448601:0.603682:0.448601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 : 4 :: 24 : 12:@0.592122:0.445120:0.681913:0.445120:0.681913:0.428686:0.592122:0.428686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA8 (Ev. 1) Propone patrones de comportamiento numérico y expresa verbalmente o por escrito los procedimientos matemáticos.:@0.080732:0.971266:0.775102:0.971266:0.775102:0.959315:0.080732:0.959315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000