﻿102:@0.025963:0.964572:0.058412:0.964572:0.058412:0.946021:0.025963:0.946021:0.000000:0.000000:0.000000
M.2.1.29.   :@0.097512:0.952422:0.161171:0.952422:0.161171:0.940805:0.097512:0.940805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades conmutativa y asociativa de la multiplicación en el cálculo escrito y mental, y en la resolución de proble-:@0.161171:0.952241:0.882998:0.952241:0.882998:0.940825:0.161171:0.940825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mas.:@0.097525:0.964311:0.124088:0.964311:0.124088:0.952895:0.097525:0.952895:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.333794:0.121448:0.453850:0.121448:0.453850:0.105833:0.333794:0.105833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad asociativa de la multiplicación:@0.333794:0.090854:0.848186:0.090854:0.848186:0.067297:0.333794:0.067297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TEMA 10:@0.130864:0.092436:0.243731:0.092436:0.243731:0.065934:0.130864:0.065934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se han colocado tres filas de cinco dados cada :@0.334982:0.275955:0.909798:0.275955:0.909798:0.254549:0.334982:0.254549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una. Cada dado muestra 2 puntos. Si se quiere :@0.334982:0.297323:0.909773:0.297323:0.909773:0.275917:0.334982:0.275917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saber cuántos puntos hay en el arreglo, observa :@0.334982:0.318691:0.909798:0.318691:0.909798:0.297285:0.334982:0.297285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos formas de plantear la operación y cómo se :@0.334982:0.340058:0.909748:0.340058:0.909748:0.318653:0.334982:0.318653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve.:@0.334982:0.361426:0.433511:0.361426:0.433511:0.340021:0.334982:0.340021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La forma cómo se agrupe no altera el resultado, :@0.334982:0.596548:0.909874:0.596548:0.909874:0.575142:0.334982:0.575142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debido a la propiedad asociativa de la :@0.334982:0.617916:0.909773:0.617916:0.909773:0.596510:0.334982:0.596510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación. Mira la síntesis.:@0.334982:0.639283:0.669469:0.639283:0.669469:0.617878:0.334982:0.617878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para agrupar cantidades  se usan signos de :@0.334982:0.853018:0.909861:0.853018:0.909861:0.831613:0.334982:0.831613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupación como: paréntesis ( ), corchetes [ ] o :@0.334982:0.874386:0.909723:0.874386:0.909723:0.852981:0.334982:0.852981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llaves { }. Se resuelve siempre de izquierda a  :@0.334982:0.895754:0.909798:0.895754:0.909798:0.874348:0.334982:0.874348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha como muestra el ejemplo.:@0.334982:0.917122:0.725581:0.917122:0.725581:0.895716:0.334982:0.895716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para multiplicar :@0.096021:0.558804:0.251027:0.555757:0.250380:0.537212:0.095374:0.540259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres factores, se :@0.098311:0.577627:0.250031:0.574645:0.249384:0.556100:0.097664:0.559082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupa y se resuelve :@0.072627:0.597000:0.277053:0.592983:0.276406:0.574438:0.071980:0.578455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parcialmente.:@0.105832:0.615216:0.239721:0.612585:0.239074:0.594040:0.105185:0.596671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.207617:0.179120:0.225439:0.179120:0.225439:0.148756:0.207617:0.148756:0.000000
+:@0.134793:0.179120:0.152616:0.179120:0.152616:0.148756:0.134793:0.148756:0.000000
Propiedades:@0.352527:0.690154:0.474963:0.690154:0.474963:0.671602:0.352527:0.671602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la :@0.389048:0.709016:0.443886:0.709016:0.443886:0.690464:0.389048:0.690464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación:@0.346494:0.727878:0.480996:0.727878:0.480996:0.709326:0.346494:0.709326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Segunda :@0.555695:0.690366:0.648600:0.690366:0.648600:0.671602:0.555695:0.671602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad::@0.545263:0.709228:0.653587:0.709228:0.653587:0.690464:0.545263:0.690464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.548660:0.728172:0.650190:0.728172:0.650190:0.709294:0.548660:0.709294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al agrupar de :@0.747092:0.664690:0.875912:0.664690:0.875912:0.647565:0.747092:0.647565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes maneras :@0.723773:0.682297:0.899231:0.682297:0.899231:0.665173:0.723773:0.665173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los factores, el :@0.746811:0.699904:0.876173:0.699904:0.876173:0.682780:0.746811:0.682780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto no varía.:@0.727231:0.717511:0.890727:0.717511:0.890727:0.700387:0.727231:0.700387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2 × 3) × 3  =  2 × (3 × 3):@0.710907:0.824362:0.909604:0.824362:0.909604:0.807238:0.710907:0.807238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 × (6 + 3)  =  (4 × 6)  + (4 × 3):@0.071180:0.861807:0.317351:0.861807:0.317351:0.844794:0.071180:0.844794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4  ×  9     =     24     +     12:@0.090692:0.895008:0.299017:0.895008:0.299017:0.877995:0.090692:0.877995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
36   =    36:@0.130496:0.916442:0.215376:0.916442:0.215376:0.899429:0.130496:0.899429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × (2 × 5):@0.392694:0.484852:0.473954:0.484852:0.473954:0.468339:0.392694:0.468339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × 2 × 5:@0.399401:0.502310:0.467247:0.502310:0.467247:0.485797:0.399401:0.485797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × 10:@0.409442:0.532498:0.457227:0.532498:0.457227:0.515986:0.409442:0.515986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.423147:0.556372:0.442531:0.556372:0.442531:0.539860:0.423147:0.539860:0.000000:0.000000
2 × 5 = 10:@0.534492:0.439301:0.611351:0.439301:0.611351:0.422788:0.534492:0.422788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.332776:0.417041:0.342468:0.417041:0.342468:0.400529:0.332776:0.400529:0.000000
5:@0.784591:0.467219:0.794283:0.467219:0.794283:0.450707:0.784591:0.450707:0.000000
(3 × 2) × 5:@0.752200:0.483914:0.833460:0.483914:0.833460:0.467401:0.752200:0.467401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × 2 × 5:@0.758907:0.501372:0.826753:0.501372:0.826753:0.484860:0.758907:0.484860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 × 5:@0.773446:0.531560:0.812215:0.531560:0.812215:0.515048:0.773446:0.515048:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.782634:0.555434:0.802018:0.555434:0.802018:0.538922:0.782634:0.538922:0.000000:0.000000
3 × 2 = 6:@0.616935:0.412452:0.684781:0.412452:0.684781:0.395939:0.616935:0.395939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 5:@0.070049:0.641087:0.097550:0.640547:0.097141:0.628834:0.069641:0.629374:0.000000:0.000000:0.000000
 ×   × 4:@0.076924:0.640952:0.118175:0.640141:0.117766:0.628429:0.076516:0.629239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.076296:0.665129:0.089564:0.664868:0.089156:0.653155:0.075887:0.653416:0.000000:0.000000
 × 4:@0.089564:0.664868:0.110189:0.664463:0.109781:0.652750:0.089156:0.653155:0.000000:0.000000:0.000000:0.000000
40:@0.090147:0.687493:0.103897:0.687223:0.103489:0.675510:0.089739:0.675780:0.000000:0.000000
2 ×   × :@0.149236:0.639531:0.190486:0.638720:0.190077:0.627008:0.148827:0.627818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 4:@0.169861:0.639126:0.197361:0.638585:0.196952:0.626873:0.169452:0.627413:0.000000:0.000000:0.000000
2 × :@0.160391:0.663476:0.181016:0.663071:0.180607:0.651358:0.159982:0.651764:0.000000:0.000000:0.000000:0.000000
20:@0.181016:0.663071:0.194766:0.662801:0.194357:0.651088:0.180607:0.651358:0.000000:0.000000
40:@0.169334:0.685937:0.183084:0.685667:0.182675:0.673954:0.168925:0.674224:0.000000:0.000000
2:@0.223541:0.638071:0.230416:0.637936:0.230007:0.626223:0.223132:0.626358:0.000000
 × 5 :@0.230416:0.637936:0.254479:0.637463:0.254070:0.625750:0.230007:0.626223:0.000000:0.000000:0.000000:0.000000:0.000000
× 4:@0.254479:0.637463:0.271666:0.637125:0.271257:0.625412:0.254070:0.625750:0.000000:0.000000:0.000000
8:@0.234696:0.662016:0.241571:0.661881:0.241162:0.650168:0.234287:0.650303:0.000000
 × 5:@0.241571:0.661881:0.262196:0.661476:0.261787:0.649763:0.241162:0.650168:0.000000:0.000000:0.000000:0.000000
40:@0.243639:0.684477:0.257389:0.684207:0.256980:0.672494:0.243230:0.672764:0.000000:0.000000
Recuerda siempre :@0.065967:0.511259:0.282375:0.511259:0.282375:0.489174:0.065967:0.489174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mira el gráfico y calcula cuántos árboles sembraron :@0.333794:0.147435:0.878451:0.147435:0.878451:0.127456:0.333794:0.127456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en total. ¿A qué expresión matemática corresponde:@0.333794:0.167554:0.872236:0.167554:0.872236:0.147576:0.333794:0.147576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el gráfico?:@0.333794:0.190191:0.442571:0.190191:0.442571:0.170212:0.333794:0.170212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 + (2 + 3)  o  (4 + 2) + 3:@0.333794:0.211560:0.567554:0.211560:0.567554:0.191581:0.333794:0.191581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000