131:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial y sistemas geométricos, numéricos y pensamiento numérico:@0.194097:0.043661:0.926912:0.043661:0.926912:0.024916:0.194097:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cada uno :@0.082043:0.823061:0.156125:0.823061:0.156125:0.806627:0.082043:0.806627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construya:@0.156046:0.823061:0.230919:0.823061:0.230919:0.806391:0.156046:0.806391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un triángulo con las características descritas a continuación; luego, :@0.230813:0.823061:0.720500:0.823061:0.720500:0.806627:0.230813:0.806627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comparen:@0.720074:0.823061:0.797762:0.823061:0.797762:0.806391:0.720074:0.806391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los triángulos y :@0.797661:0.823061:0.915038:0.823061:0.915038:0.806627:0.797661:0.806627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verifiquen:@0.082042:0.839703:0.159290:0.839703:0.159290:0.823033:0.082042:0.823033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si tienen la misma forma y tamaño. :@0.159187:0.839703:0.419591:0.839703:0.419591:0.823269:0.159187:0.823269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escriban:@0.419281:0.839703:0.483315:0.839703:0.483315:0.823033:0.419281:0.823033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sus conclusiones.:@0.483210:0.839703:0.612440:0.839703:0.612440:0.823269:0.483210:0.823269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Un triángulo con las medidas de sus ángulos 30° y 80°.:@0.082043:0.856345:0.506005:0.856345:0.506005:0.839911:0.082043:0.839911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Un triángulo con las medidas 9 cm, 6 cm y un ángulo de 90°.:@0.082043:0.872986:0.551361:0.872986:0.551361:0.856553:0.082043:0.856553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  Triángulo de medidas 6 cm, 8 cm y 10 cm.:@0.082043:0.889628:0.416907:0.889628:0.416907:0.873195:0.082043:0.873195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua:@0.082038:0.934353:0.149983:0.934353:0.149983:0.917684:0.082038:0.917684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por qué las estructuras de los puentes están hechas de piezas triangulares.:@0.149887:0.934353:0.692406:0.934353:0.692406:0.917919:0.149887:0.917919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.077417:0.801877:0.232877:0.801877:0.232877:0.785207:0.077417:0.785207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad indagatoria:@0.077417:0.914027:0.240777:0.914027:0.240777:0.897357:0.077417:0.897357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.  Calcula el lado que falta en cada triángulo rectángulo.:@0.073089:0.136836:0.509679:0.136836:0.509679:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Un cateto de un triángulo rectángulo mide 6 cm y :@0.104633:0.157052:0.499227:0.157052:0.499227:0.140618:0.104633:0.140618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su proyección sobre la hipotenusa mide 2 cm. :@0.134754:0.173694:0.499241:0.173694:0.499241:0.157260:0.134754:0.157260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina los otros dos lados y la altura sobre la :@0.134754:0.190336:0.498963:0.190336:0.498963:0.173902:0.134754:0.173902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa. :@0.134754:0.206978:0.224279:0.206978:0.224279:0.190544:0.134754:0.190544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.263504:0.221204:0.272314:0.221204:0.272314:0.207758:0.263504:0.207758:0.000000
C:@0.219735:0.279110:0.227084:0.279110:0.227084:0.267600:0.219735:0.267600:0.000000
2 cmD:@0.236057:0.283131:0.270119:0.284501:0.270119:0.272991:0.236057:0.271621:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.372175:0.277595:0.378686:0.277595:0.378686:0.266085:0.372175:0.266085:0.000000
6 cm:@0.220147:0.247445:0.245417:0.247445:0.245417:0.235935:0.220147:0.235935:0.000000:0.000000:0.000000:0.000000
b.  Determina los valores de  ,  ,  , en el siguiente :@0.104633:0.305756:0.499036:0.305756:0.499036:0.289322:0.104633:0.289322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.331385:0.305756:0.372249:0.305756:0.372249:0.289350:0.331385:0.289350:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo.:@0.134759:0.322398:0.203755:0.322398:0.203755:0.305964:0.134759:0.305964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.104633:0.420441:0.108664:0.420441:0.108664:0.404007:0.104633:0.404007:0.000000
20m:@0.315289:0.372905:0.342216:0.372905:0.342216:0.359512:0.315289:0.359512:0.000000:0.000000:0.000000
15m:@0.381436:0.418820:0.408363:0.418820:0.408363:0.405427:0.381436:0.405427:0.000000:0.000000:0.000000
y:@0.381486:0.351100:0.388280:0.351100:0.388280:0.336185:0.381486:0.336185:0.000000
z:@0.368112:0.389471:0.374856:0.389471:0.374856:0.374531:0.368112:0.374531:0.000000
x:@0.423635:0.389471:0.430413:0.389471:0.430413:0.374556:0.423635:0.374556:0.000000
c.  Determina los valores de: a, a’ y b’, en el siguiente :@0.536564:0.157052:0.930912:0.157052:0.930912:0.140618:0.536564:0.140618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo.:@0.566685:0.173694:0.635681:0.173694:0.635681:0.157260:0.566685:0.157260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.536564:0.256529:0.540595:0.256529:0.540595:0.240095:0.536564:0.240095:0.000000
a:@0.754755:0.201922:0.761566:0.201922:0.761566:0.188529:0.754755:0.188529:0.000000
12 dm:@0.828408:0.203198:0.866781:0.203198:0.866781:0.189805:0.828408:0.189805:0.000000:0.000000:0.000000:0.000000:0.000000
20 dm:@0.778122:0.254909:0.816495:0.254909:0.816495:0.241516:0.778122:0.241516:0.000000:0.000000:0.000000:0.000000:0.000000
b’:@0.819445:0.240618:0.827638:0.240618:0.827638:0.228687:0.819445:0.228687:0.000000:0.000000
9.  Completa la siguiente tabla.:@0.073089:0.440656:0.314518:0.440656:0.314518:0.423986:0.073089:0.423986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto 1:@0.353348:0.463408:0.418979:0.463408:0.418979:0.446461:0.353348:0.446461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto 2:@0.471928:0.463408:0.537559:0.463408:0.537559:0.446461:0.471928:0.446461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa:@0.587875:0.463408:0.679429:0.463408:0.679429:0.446461:0.587875:0.446461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.381659:0.483059:0.390641:0.483059:0.390641:0.466626:0.381659:0.466626:0.000000
4:@0.500238:0.483059:0.509221:0.483059:0.509221:0.466626:0.500238:0.466626:0.000000
9:@0.381659:0.504500:0.390641:0.504500:0.390641:0.488066:0.381659:0.488066:0.000000
15:@0.624689:0.504500:0.642581:0.504500:0.642581:0.488066:0.624689:0.488066:0.000000:0.000000
24:@0.495783:0.525940:0.513675:0.525940:0.513675:0.509506:0.495783:0.509506:0.000000:0.000000
25:@0.624689:0.525940:0.642581:0.525940:0.642581:0.509506:0.624689:0.509506:0.000000:0.000000
30:@0.377204:0.547380:0.395096:0.547380:0.395096:0.530946:0.377204:0.530946:0.000000:0.000000
50:@0.624689:0.547380:0.642581:0.547380:0.642581:0.530946:0.624689:0.530946:0.000000:0.000000
21:@0.377204:0.568820:0.395096:0.568820:0.395096:0.552387:0.377204:0.552387:0.000000:0.000000
28:@0.495783:0.568820:0.513675:0.568820:0.513675:0.552387:0.495783:0.552387:0.000000:0.000000
16:@0.377204:0.590261:0.395096:0.590261:0.395096:0.573827:0.377204:0.573827:0.000000:0.000000
20:@0.624689:0.590261:0.642581:0.590261:0.642581:0.573827:0.624689:0.573827:0.000000:0.000000
27:@0.377204:0.611701:0.395096:0.611701:0.395096:0.595267:0.377204:0.595267:0.000000:0.000000
36:@0.495783:0.611701:0.513675:0.611701:0.513675:0.595267:0.495783:0.595267:0.000000:0.000000
18:@0.495783:0.633141:0.513675:0.633141:0.513675:0.616707:0.495783:0.616707:0.000000:0.000000
30:@0.624689:0.633141:0.642581:0.633141:0.642581:0.616707:0.624689:0.616707:0.000000:0.000000
10.  Resuelve aplicando el teorema de Pitágoras.:@0.073089:0.654170:0.436203:0.654170:0.436203:0.637501:0.073089:0.637501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.104633:0.674386:0.116119:0.674386:0.116119:0.657953:0.104633:0.657953:0.000000:0.000000
b.:@0.555070:0.674386:0.568023:0.674386:0.568023:0.657953:0.555070:0.657953:0.000000:0.000000
7 cm:@0.168223:0.750973:0.204301:0.750973:0.204301:0.734539:0.168223:0.734539:0.000000:0.000000:0.000000:0.000000
2 cm:@0.271138:0.723431:0.307216:0.723431:0.307216:0.706997:0.271138:0.706997:0.000000:0.000000:0.000000:0.000000
13 cm:@0.555025:0.742566:0.599386:0.742566:0.599386:0.726132:0.555025:0.726132:0.000000:0.000000:0.000000:0.000000:0.000000
12 cm:@0.643015:0.742880:0.683912:0.742880:0.683912:0.727940:0.643015:0.727940:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.272706:0.258835:0.279204:0.258835:0.279204:0.247344:0.272706:0.247344:0.000000
y:@0.310171:0.240962:0.315406:0.240962:0.315406:0.229472:0.310171:0.229472:0.000000
x:@0.310171:0.283137:0.315393:0.283137:0.315393:0.271647:0.310171:0.271647:0.000000
a´:@0.762787:0.242749:0.775958:0.242749:0.775958:0.229379:0.762787:0.229379:0.000000:0.000000
x:@0.195471:0.708638:0.202926:0.708638:0.202926:0.692232:0.195471:0.692232:0.000000
x:@0.607676:0.678977:0.615131:0.678977:0.615131:0.662571:0.607676:0.662571:0.000000
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