97:@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
6.1 Magnitudes inversamente proporcionales:@0.073089:0.239046:0.429470:0.239046:0.429470:0.222099:0.073089:0.222099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un bazar tienen 48 lápices y los quieren empacar en cajas de 3 lápices (mínimo) y de :@0.073089:0.266409:0.710773:0.266409:0.710773:0.249975:0.073089:0.249975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16 (máximo), de manera que todas las cajas tengan la misma cantidad de lápices.:@0.073089:0.283051:0.660442:0.283051:0.660442:0.266617:0.073089:0.266617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinemos si las magnitudes entre las cajas y los lápices son directa o inversamente :@0.073089:0.310413:0.710828:0.310413:0.710828:0.293979:0.073089:0.293979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales.:@0.073089:0.327055:0.185167:0.327055:0.185167:0.310621:0.073089:0.310621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para conocer qué tipo de magnitudes son, realizamos una tabla.:@0.073089:0.354417:0.536471:0.354417:0.536471:0.337983:0.073089:0.337983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cajas:@0.182447:0.388047:0.224156:0.388047:0.224156:0.371100:0.182447:0.371100:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.279674:0.388047:0.288657:0.388047:0.288657:0.371613:0.279674:0.371613:0.000000
4:@0.341743:0.388047:0.350726:0.388047:0.350726:0.371613:0.341743:0.371613:0.000000
6:@0.403812:0.388047:0.412795:0.388047:0.412795:0.371613:0.403812:0.371613:0.000000
8:@0.465882:0.388047:0.474864:0.388047:0.474864:0.371613:0.465882:0.371613:0.000000
12:@0.523496:0.388047:0.541388:0.388047:0.541388:0.371613:0.523496:0.371613:0.000000:0.000000
16:@0.585566:0.388047:0.603458:0.388047:0.603458:0.371613:0.585566:0.371613:0.000000:0.000000
Lápices:@0.173924:0.412746:0.232660:0.412746:0.232660:0.395800:0.173924:0.395800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.275219:0.412746:0.293111:0.412746:0.293111:0.396313:0.275219:0.396313:0.000000:0.000000
12:@0.337289:0.412746:0.355181:0.412746:0.355181:0.396313:0.337289:0.396313:0.000000:0.000000
8:@0.403812:0.412746:0.412795:0.412746:0.412795:0.396313:0.403812:0.396313:0.000000
6:@0.465882:0.412746:0.474864:0.412746:0.474864:0.396313:0.465882:0.396313:0.000000
4:@0.527951:0.412746:0.536934:0.412746:0.536934:0.396313:0.527951:0.396313:0.000000
3:@0.590020:0.412746:0.599003:0.412746:0.599003:0.396313:0.590020:0.396313:0.000000
Podemos observar en la tabla que mientras más lápices se empacan por caja, menos :@0.073089:0.449677:0.709848:0.449677:0.709848:0.433244:0.073089:0.433244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cajas se utilizan.:@0.073089:0.466319:0.187325:0.466319:0.187325:0.449886:0.073089:0.449886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al hallar las razones entre la cantidad de cajas y la cantidad de lápices, utilizando los :@0.073089:0.502044:0.710630:0.502044:0.710630:0.485610:0.073089:0.485610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
datos de la tabla: :@0.073089:0.523470:0.198583:0.523470:0.198583:0.507036:0.073089:0.507036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.207261:0.516473:0.216244:0.516473:0.216244:0.500039:0.207261:0.500039:0.000000
16:@0.202881:0.534016:0.220644:0.534016:0.220644:0.517582:0.202881:0.517582:0.000000:0.000000
; :@0.229000:0.523476:0.236161:0.523476:0.236161:0.507043:0.229000:0.507043:0.000000:0.000000
4:@0.244936:0.516473:0.253919:0.516473:0.253919:0.500039:0.244936:0.500039:0.000000
12:@0.240555:0.534016:0.258318:0.534016:0.258318:0.517582:0.240555:0.517582:0.000000:0.000000
; :@0.267185:0.523476:0.274346:0.523476:0.274346:0.507043:0.267185:0.507043:0.000000:0.000000
6:@0.283133:0.516473:0.292116:0.516473:0.292116:0.500039:0.283133:0.500039:0.000000
8:@0.283133:0.534016:0.292116:0.534016:0.292116:0.517582:0.283133:0.517582:0.000000
; :@0.304872:0.523476:0.312032:0.523476:0.312032:0.507043:0.304872:0.507043:0.000000:0.000000
8:@0.317011:0.516473:0.325993:0.516473:0.325993:0.500039:0.317011:0.500039:0.000000
6:@0.317011:0.534016:0.325993:0.534016:0.325993:0.517582:0.317011:0.517582:0.000000
; :@0.334939:0.523476:0.342100:0.523476:0.342100:0.507043:0.334939:0.507043:0.000000:0.000000
12:@0.346501:0.516473:0.364264:0.516473:0.364264:0.500039:0.346501:0.500039:0.000000:0.000000
4:@0.350882:0.534016:0.359864:0.534016:0.359864:0.517582:0.350882:0.517582:0.000000
y :@0.372621:0.523476:0.384677:0.523476:0.384677:0.507043:0.372621:0.507043:0.000000:0.000000
16:@0.389072:0.516473:0.406835:0.516473:0.406835:0.500039:0.389072:0.500039:0.000000:0.000000
3:@0.393453:0.534016:0.402435:0.534016:0.402435:0.517582:0.393453:0.517582:0.000000
; nos damos cuenta de que estas razones :@0.411492:0.523476:0.710622:0.523476:0.710622:0.507043:0.411492:0.507043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no son equivalentes.:@0.073093:0.544903:0.222195:0.544903:0.222195:0.528469:0.073093:0.528469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, el producto entre los valores de las dos magnitudes dadas en la tabla es :@0.073093:0.575843:0.710109:0.575843:0.710109:0.559409:0.073093:0.559409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante.:@0.073093:0.592485:0.148586:0.592485:0.148586:0.576051:0.073093:0.576051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 :@0.097611:0.624437:0.110551:0.624437:0.110551:0.608003:0.097611:0.608003:0.000000:0.000000
3 :@0.110459:0.623882:0.130302:0.623882:0.130302:0.610167:0.110459:0.610167:0.000000:0.000000
16   48 ; 4   12   48; 6 :@0.130210:0.624437:0.310822:0.624437:0.310822:0.608003:0.130210:0.608003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.151968:0.623882:0.167301:0.623882:0.167301:0.610167:0.151968:0.610167:0.000000
3:@0.212841:0.623882:0.228174:0.623882:0.228174:0.610167:0.212841:0.610167:0.000000
5:@0.253778:0.623882:0.269112:0.623882:0.269112:0.610167:0.253778:0.610167:0.000000
3  5:@0.310694:0.623882:0.358626:0.623882:0.358626:0.610167:0.310694:0.610167:0.000000:0.000000:0.000000:0.000000
8   48 ; 8   6   48 ; 12   4   48 y 16   3   48:@0.330445:0.624437:0.681857:0.624437:0.681857:0.608003:0.330445:0.608003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 5:@0.404166:0.623882:0.451546:0.623882:0.451546:0.610167:0.404166:0.610167:0.000000:0.000000:0.000000
3 5:@0.505994:0.623882:0.553375:0.623882:0.553375:0.610167:0.505994:0.610167:0.000000:0.000000:0.000000
3 5:@0.612720:0.623882:0.660100:0.623882:0.660100:0.610167:0.612720:0.610167:0.000000:0.000000:0.000000
Entonces, estas magnitudes son inversamente proporcionales.:@0.073111:0.655377:0.523932:0.655377:0.523932:0.638943:0.073111:0.638943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, el producto entre los valores de las dos magnitudes es constante.:@0.073111:0.682739:0.612057:0.682739:0.612057:0.666305:0.073111:0.666305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.082219:0.713777:0.091202:0.713777:0.091202:0.697343:0.082219:0.697343:0.000000
16:@0.077838:0.731320:0.095601:0.731320:0.095601:0.714887:0.077838:0.714887:0.000000:0.000000
   48; :@0.100251:0.720779:0.144919:0.720779:0.144919:0.704345:0.100251:0.704345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.102472:0.720225:0.117805:0.720225:0.117805:0.706509:0.102472:0.706509:0.000000
4:@0.153941:0.713777:0.162923:0.713777:0.162923:0.697343:0.153941:0.697343:0.000000
12:@0.149560:0.731320:0.167323:0.731320:0.167323:0.714887:0.149560:0.714887:0.000000:0.000000
   48; :@0.171973:0.720779:0.216641:0.720779:0.216641:0.704345:0.171973:0.704345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.174194:0.720225:0.189527:0.720225:0.189527:0.706509:0.174194:0.706509:0.000000
6:@0.225662:0.713777:0.234645:0.713777:0.234645:0.697343:0.225662:0.697343:0.000000
8:@0.225662:0.731320:0.234645:0.731320:0.234645:0.714887:0.225662:0.714887:0.000000
   48; :@0.243694:0.720779:0.288362:0.720779:0.288362:0.704345:0.243694:0.704345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.245915:0.720225:0.261248:0.720225:0.261248:0.706509:0.245915:0.706509:0.000000
8:@0.297383:0.713777:0.306366:0.713777:0.306366:0.697343:0.297383:0.697343:0.000000
6:@0.297383:0.731320:0.306366:0.731320:0.306366:0.714887:0.297383:0.714887:0.000000
   48; :@0.315416:0.720779:0.360084:0.720779:0.360084:0.704345:0.315416:0.704345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.317636:0.720225:0.332970:0.720225:0.332970:0.706509:0.317636:0.706509:0.000000
12:@0.364719:0.713777:0.382482:0.713777:0.382482:0.697343:0.364719:0.697343:0.000000:0.000000
4:@0.369100:0.731320:0.378082:0.731320:0.378082:0.714887:0.369100:0.714887:0.000000
   48; :@0.387137:0.720779:0.431805:0.720779:0.431805:0.704345:0.387137:0.704345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.389358:0.720225:0.404691:0.720225:0.404691:0.706509:0.389358:0.706509:0.000000
16:@0.436440:0.713777:0.454203:0.713777:0.454203:0.697343:0.436440:0.697343:0.000000:0.000000
3:@0.440821:0.731320:0.449804:0.731320:0.449804:0.714887:0.440821:0.714887:0.000000
   48.:@0.458859:0.720779:0.499569:0.720779:0.499569:0.704345:0.458859:0.704345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.461079:0.720225:0.476412:0.720225:0.476412:0.706509:0.461079:0.706509:0.000000
Las magnitudes son inversamente proporcionales.:@0.073089:0.758864:0.436857:0.758864:0.436857:0.742430:0.073089:0.742430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se establece una relación de proporcionalidad inversa entre dos magnitudes cuando::@0.073089:0.786226:0.690650:0.786226:0.690650:0.769792:0.073089:0.769792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A más corresponde menos.:@0.286933:0.817853:0.492577:0.817853:0.492577:0.801183:0.286933:0.801183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A menos corresponde más.:@0.286933:0.853715:0.492577:0.853715:0.492577:0.837045:0.286933:0.837045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos magnitudes son inversamente proporcionales cuando al aumentar una, la otra :@0.080125:0.895996:0.701799:0.895996:0.701799:0.879563:0.080125:0.879563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disminuye en la misma proporción; o cuando disminuye una, la otra aumenta en la :@0.080125:0.912638:0.702778:0.912638:0.702778:0.896204:0.080125:0.896204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma proporción.:@0.080125:0.929280:0.217465:0.929280:0.217465:0.912846:0.080125:0.912846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 6. Proporcionalidad inversa:@0.073089:0.098522:0.567939:0.098522:0.567939:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué es posible darse cuenta de que dos magnitudes no son directamente :@0.293660:0.167374:0.919282:0.167374:0.919282:0.150940:0.293660:0.150940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales, observando únicamente la ubicación de sus puntos en el plano cartesiano? :@0.293660:0.184016:0.919198:0.184016:0.919198:0.167582:0.293660:0.167582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.428339:0.139600:0.428339:0.123166:0.302768:0.123166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
48:@0.115535:0.130006:0.120866:0.130006:0.120866:0.125129:0.115535:0.125129:0.000000:0.000000
44:@0.115535:0.135767:0.120866:0.135767:0.120866:0.130891:0.115535:0.130891:0.000000:0.000000
40:@0.115535:0.141528:0.120866:0.141528:0.120866:0.136652:0.115535:0.136652:0.000000:0.000000
36:@0.115535:0.147289:0.120866:0.147289:0.120866:0.142413:0.115535:0.142413:0.000000:0.000000
32:@0.115535:0.153050:0.120866:0.153050:0.120866:0.148174:0.115535:0.148174:0.000000:0.000000
28:@0.115535:0.158812:0.120866:0.158812:0.120866:0.153935:0.115535:0.153935:0.000000:0.000000
24:@0.115535:0.164573:0.120866:0.164573:0.120866:0.159696:0.115535:0.159696:0.000000:0.000000
20:@0.115535:0.170334:0.120866:0.170334:0.120866:0.165457:0.115535:0.165457:0.000000:0.000000
16:@0.115535:0.176095:0.120866:0.176095:0.120866:0.171219:0.115535:0.171219:0.000000:0.000000
12:@0.115535:0.181856:0.120866:0.181856:0.120866:0.176980:0.115535:0.176980:0.000000:0.000000
8:@0.118200:0.187617:0.120866:0.187617:0.120866:0.182741:0.118200:0.182741:0.000000
4:@0.118200:0.193378:0.120866:0.193378:0.120866:0.188502:0.118200:0.188502:0.000000
0:@0.118200:0.199139:0.120866:0.199139:0.120866:0.194263:0.118200:0.194263:0.000000
1:@0.129397:0.203361:0.132063:0.203361:0.132063:0.198485:0.129397:0.198485:0.000000
2 3 4:@0.137760:0.203361:0.154670:0.203361:0.154670:0.198485:0.137760:0.198485:0.000000:0.000000:0.000000:0.000000:0.000000
5 6 7:@0.160367:0.203361:0.177588:0.203361:0.177588:0.198485:0.160367:0.198485:0.000000:0.000000:0.000000:0.000000:0.000000
8 9 10 11 12:@0.183285:0.203361:0.219579:0.203361:0.219579:0.198485:0.183285:0.198485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA8 (Ev. 1) Propone patrones de comportamiento numérico y expresa verbalmente o por escrito los procedimientos matemáticos.:@0.081837:0.971366:0.776638:0.971366:0.776638:0.959414:0.081837:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos magnitudes :@0.740294:0.514394:0.853068:0.514394:0.853068:0.499454:0.740294:0.499454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son inversamente :@0.740294:0.529523:0.861326:0.529523:0.861326:0.514583:0.740294:0.514583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales cuando, al :@0.740294:0.544652:0.914456:0.544652:0.914456:0.529712:0.740294:0.529712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicar o dividir una :@0.740294:0.559781:0.899985:0.559781:0.899985:0.544841:0.740294:0.544841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ellas por un número :@0.740294:0.574910:0.897736:0.574910:0.897736:0.559970:0.740294:0.559970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquiera, la otra queda :@0.740294:0.590039:0.906377:0.590039:0.906377:0.575099:0.740294:0.575099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividida o multiplicada por :@0.740294:0.605168:0.921003:0.605168:0.921003:0.590228:0.740294:0.590228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo número.:@0.740294:0.620297:0.860255:0.620297:0.860255:0.605357:0.740294:0.605357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe:@0.740294:0.635426:0.789603:0.635426:0.789603:0.620271:0.740294:0.620271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un ejemplo y :@0.789508:0.635426:0.883778:0.635426:0.883778:0.620486:0.789508:0.620486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
preséntalo:@0.740294:0.650555:0.813863:0.650555:0.813863:0.635400:0.740294:0.635400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en clase.:@0.813772:0.650555:0.873288:0.650555:0.873288:0.635615:0.813772:0.635615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.471037:0.838985:0.471037:0.838985:0.455631:0.740294:0.455631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.486166:0.828908:0.486166:0.828908:0.470760:0.740294:0.470760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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