36:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.574651:0.135654:0.574651:0.135654:0.555957:0.115209:0.555957:0.000000:0.000000:0.000000
Plantea:@0.148451:0.574651:0.210850:0.574651:0.210850:0.556515:0.148451:0.556515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los cuadrados como multiplicación, como potencia y :@0.210848:0.574651:0.643199:0.574651:0.643199:0.556772:0.210848:0.556772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve:@0.643194:0.574651:0.713031:0.574651:0.713031:0.556515:0.643194:0.556515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.713031:0.574651:0.716529:0.574651:0.716529:0.556772:0.713031:0.556772:0.000000
2. :@0.115209:0.761303:0.135654:0.761303:0.135654:0.742610:0.115209:0.742610:0.000000:0.000000:0.000000
Plantea:@0.148451:0.761303:0.210850:0.761303:0.210850:0.743168:0.148451:0.743168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los cubos como multiplicación, como potencia y :@0.210848:0.761303:0.608240:0.761303:0.608240:0.743424:0.210848:0.743424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve:@0.608237:0.761303:0.678074:0.761303:0.678074:0.743168:0.608237:0.743168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.678073:0.761303:0.681570:0.761303:0.681570:0.743424:0.678073:0.743424:0.000000
Taller:@0.175844:0.532156:0.236739:0.532156:0.236739:0.498209:0.175844:0.498209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Emplea el cálculo y la estimación de potencias cuadradas y cúbicas de números naturales, en el planteamiento y solución de :@0.256865:0.514902:0.877769:0.514902:0.877769:0.504473:0.256865:0.504473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas; discute en equipo y verifica resultados con el uso responsable de la tecnología. (I.2., S.4.). (Ref. I.M.3.3.2.).:@0.256865:0.525464:0.790855:0.525464:0.790855:0.515034:0.256865:0.515034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se llaman cuadrados perfectos a las potencias de exponente 2. :@0.115209:0.168608:0.621429:0.168608:0.621429:0.150729:0.115209:0.150729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos: 8 , 5 , 6 . Es el resultado de multiplicar un número por sí mismo. Representan el área de :@0.115209:0.190276:0.884261:0.190276:0.884261:0.172397:0.115209:0.172397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.205854:0.183679:0.211574:0.183679:0.211574:0.173256:0.205854:0.173256:0.000000
2:@0.228785:0.183679:0.234504:0.183679:0.234504:0.173256:0.228785:0.173256:0.000000
2:@0.251716:0.183679:0.257435:0.183679:0.257435:0.173256:0.251716:0.173256:0.000000
un cuadrado:   =  en el que las dos dimensiones son iguales: largo y ancho, ancho y alto.:@0.115209:0.208381:0.834970:0.208381:0.834970:0.190502:0.115209:0.190502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.224465:0.208381:0.236225:0.208381:0.240425:0.190502:0.228665:0.190502:0.000000
I :@0.256829:0.208381:0.265473:0.208381:0.270537:0.190502:0.261893:0.190502:0.000000:0.000000
2 :@0.266542:0.201784:0.274828:0.201784:0.274828:0.191361:0.266542:0.191361:0.000000:0.000000
Se llaman cubos perfectos a las potencias de exponente 3. :@0.115209:0.230051:0.586471:0.230051:0.586471:0.212172:0.115209:0.212172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos: 5 , 7 , 9 . Es el resultado de multiplicar un número por sí mismo tres veces. Representan :@0.115209:0.251720:0.884246:0.251720:0.884246:0.233842:0.115209:0.233842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.205735:0.245123:0.211455:0.245123:0.211455:0.234700:0.205735:0.234700:0.000000
3:@0.228545:0.245123:0.234265:0.245123:0.234265:0.234700:0.228545:0.234700:0.000000
3:@0.251357:0.245123:0.257076:0.245123:0.257076:0.234700:0.251357:0.234700:0.000000
el volumen de un cubo:   =  , en el que las tres dimensiones miden igual: largo, ancho y alto.:@0.115209:0.269824:0.861247:0.269824:0.861247:0.251946:0.115209:0.251946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.308975:0.269824:0.319208:0.269824:0.323408:0.251946:0.313176:0.251946:0.000000
I :@0.339812:0.269824:0.348456:0.269824:0.353520:0.251946:0.344876:0.251946:0.000000:0.000000
3:@0.349525:0.263227:0.355244:0.263227:0.355244:0.252804:0.349525:0.252804:0.000000
Igual que en la multiplicación, también se pueden construir las tablas de la potenciación.:@0.115209:0.291494:0.824366:0.291494:0.824366:0.273615:0.115209:0.273615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.322114:0.285424:0.322114:0.285424:0.302141:0.115209:0.302141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos:@0.115209:0.343469:0.211441:0.343469:0.211441:0.325334:0.115209:0.325334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el cuadrado y el cubo según indican los gráficos..:@0.211440:0.343469:0.606314:0.343469:0.606314:0.325591:0.211440:0.325591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuadrados y cubos de números inferiores a 20:@0.115891:0.141978:0.798383:0.141978:0.798383:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.1.23. Calcular y reconocer cuadrados y cubos de números inferiores a 20.:@0.125388:0.074999:0.481733:0.074999:0.481733:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.048404:0.115022:0.082107:0.115022:0.082107:0.057990:0.048404:0.057990:0.000000:0.000000
Cuadrado perfecto:@0.151682:0.373049:0.302934:0.373049:0.302934:0.355170:0.151682:0.355170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 × 6 = 36:@0.308446:0.418955:0.389260:0.418955:0.389260:0.401077:0.308446:0.401077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     6  = 36:@0.308446:0.440625:0.386395:0.440625:0.386395:0.422746:0.308446:0.422746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.340269:0.434028:0.345988:0.434028:0.345988:0.423604:0.340269:0.423604:0.000000
4 × 4 × 4 = 64:@0.702533:0.418955:0.813943:0.418955:0.813943:0.401077:0.702533:0.401077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
            4  = 64:@0.702533:0.440625:0.811298:0.440625:0.811298:0.422746:0.702533:0.422746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.765172:0.434028:0.770891:0.434028:0.770891:0.423604:0.765172:0.423604:0.000000
Cubo perfecto:@0.568981:0.371791:0.685274:0.371791:0.685274:0.353913:0.568981:0.353913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.148595:0.599142:0.164858:0.599142:0.164858:0.580705:0.148595:0.580705:0.000000:0.000000
a):@0.148595:0.783654:0.164858:0.783654:0.164858:0.765217:0.148595:0.765217:0.000000:0.000000
b):@0.356798:0.595370:0.374489:0.595370:0.374489:0.576933:0.356798:0.576933:0.000000:0.000000
b):@0.416675:0.783654:0.434365:0.783654:0.434365:0.765217:0.416675:0.765217:0.000000:0.000000
c):@0.644005:0.595370:0.659082:0.595370:0.659082:0.576933:0.644005:0.576933:0.000000:0.000000
c):@0.703880:0.783654:0.718957:0.783654:0.718957:0.765217:0.703880:0.765217:0.000000:0.000000
=:@0.278709:0.851264:0.290690:0.851264:0.290690:0.833386:0.278709:0.833386:0.000000
=:@0.510845:0.867609:0.522826:0.867609:0.522826:0.849731:0.510845:0.849731:0.000000
=:@0.804950:0.872639:0.816931:0.872639:0.816931:0.854760:0.804950:0.854760:0.000000
=:@0.278709:0.879459:0.290690:0.879459:0.290690:0.861581:0.278709:0.861581:0.000000
=:@0.511450:0.895804:0.523431:0.895804:0.523431:0.877926:0.511450:0.877926:0.000000
=:@0.805555:0.900834:0.817536:0.900834:0.817536:0.882955:0.805555:0.882955:0.000000