﻿67:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa y recuerda:@0.568259:0.079863:0.755853:0.079863:0.755853:0.059611:0.568259:0.059611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.559358:0.079863:0.574973:0.079863:0.574973:0.059611:0.559358:0.059611:0.000000
bser:@0.575039:0.079863:0.617288:0.079863:0.617288:0.059611:0.575039:0.059611:0.000000:0.000000:0.000000:0.000000
v:@0.617678:0.079863:0.629220:0.079863:0.629220:0.059611:0.617678:0.059611:0.000000
a y r:@0.629070:0.079863:0.669033:0.079863:0.669033:0.059611:0.629070:0.059611:0.000000:0.000000:0.000000:0.000000:0.000000
ecuer:@0.668857:0.079863:0.722648:0.079863:0.722648:0.059611:0.668857:0.059611:0.000000:0.000000:0.000000:0.000000:0.000000
da:@0.722474:0.079863:0.746953:0.079863:0.746953:0.059611:0.722474:0.059611:0.000000:0.000000
Observa y recuerdaemos?:@0.568259:0.212854:0.764767:0.212854:0.764767:0.192602:0.568259:0.192602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Q:@0.559358:0.212854:0.584665:0.212854:0.584665:0.192602:0.559358:0.192602:0.000000:0.000000
ué apr:@0.584773:0.212854:0.646166:0.212854:0.646166:0.192602:0.584773:0.192602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ender:@0.645990:0.212854:0.703005:0.212854:0.703005:0.192602:0.645990:0.192602:0.000000:0.000000:0.000000:0.000000:0.000000
La serie de Fibonacci y la proporción áurea conectan :@0.559655:0.853383:0.931414:0.853383:0.931414:0.836994:0.559655:0.836994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las matemáticas con el mundo natural y la estética :@0.559655:0.868472:0.931425:0.868472:0.931425:0.852083:0.559655:0.852083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
humana, mostrando cómo las estructuras simples :@0.559655:0.883561:0.931431:0.883561:0.931431:0.867172:0.559655:0.867172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden generar resultados complejos y bellos.:@0.559655:0.898650:0.893435:0.898650:0.893435:0.882261:0.559655:0.882261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.559655:0.108427:0.569053:0.108427:0.569053:0.091526:0.559655:0.091526:0.000000:0.000000
¿Por qué crees que en la naturaleza se presentan :@0.588144:0.108427:0.930751:0.108427:0.930751:0.091789:0.588144:0.091789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
figuras geométricas y patrones numéricos?:@0.588144:0.125023:0.900468:0.125023:0.900468:0.108386:0.588144:0.108386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.559655:0.141620:0.569237:0.141620:0.569237:0.124719:0.559655:0.124719:0.000000:0.000000
¿Podrías mencionar otras situaciones en la :@0.588144:0.141620:0.930749:0.141620:0.930749:0.124982:0.588144:0.124982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturaleza en  las que  notes  alguna  figura :@0.588144:0.158216:0.930749:0.158216:0.930749:0.141578:0.588144:0.141578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométrica?:@0.588144:0.174813:0.679064:0.174813:0.679064:0.158175:0.588144:0.158175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de los términos de :@0.756946:0.462208:0.937569:0.462208:0.937569:0.447309:0.756946:0.447309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una progresión aritmética.:@0.757868:0.477295:0.932962:0.477295:0.932962:0.462396:0.757868:0.462396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma de términos:@0.784320:0.499512:0.906510:0.499512:0.906510:0.484613:0.784320:0.484613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Progresiones aritméticas:@0.764192:0.408248:0.926655:0.408248:0.926655:0.393349:0.764192:0.393349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de los términos. :@0.766034:0.632925:0.928479:0.632925:0.928479:0.618026:0.766034:0.618026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma de términos :@0.784328:0.655142:0.910187:0.655142:0.910187:0.640243:0.784328:0.640243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Progresiones :@0.801782:0.573683:0.891056:0.573683:0.891056:0.558784:0.801782:0.558784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométricas:@0.803055:0.588770:0.886112:0.588770:0.886112:0.573871:0.803055:0.573871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones en el ámbito :@0.759292:0.779562:0.935222:0.779562:0.935222:0.764663:0.759292:0.764663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiero:@0.812196:0.794649:0.878636:0.794649:0.878636:0.779750:0.812196:0.779750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones:@0.803215:0.733575:0.887630:0.733575:0.887630:0.718676:0.803215:0.718676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teoremas sobre sumatorias:@0.754584:0.319857:0.936260:0.319857:0.936260:0.304958:0.754584:0.304958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesiones :@0.807445:0.261441:0.885394:0.261441:0.885394:0.246542:0.807445:0.246542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sumatorias:@0.802637:0.276528:0.886548:0.276528:0.886548:0.261629:0.802637:0.261629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesiones, :@0.578024:0.480833:0.668085:0.480833:0.668085:0.465255:0.578024:0.465255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
series :@0.599768:0.495921:0.646340:0.495921:0.646340:0.480343:0.599768:0.480343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y progresiones:@0.566146:0.511009:0.676593:0.511009:0.676593:0.495431:0.566146:0.495431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Objetivos: :@0.559655:0.929084:0.621317:0.929084:0.621317:0.916793:0.559655:0.916793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O.M.5.5. / O.M.5.6.:@0.621317:0.929084:0.714742:0.929084:0.714742:0.917165:0.621317:0.917165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000