33:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Determina si las siguientes afirmaciones son :@0.073089:0.135854:0.489801:0.135854:0.489801:0.119185:0.073089:0.119185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 verdaderas (V) o falsas (F).:@0.103214:0.152496:0.299524:0.152496:0.299524:0.135826:0.103214:0.135826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. El factor para racionalizar la expresión :@0.104633:0.182147:0.427769:0.182147:0.427769:0.165714:0.104633:0.165714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485770:0.182147:0.489801:0.182147:0.489801:0.165714:0.485770:0.165714:0.000000:0.000000 es :@0.134754:0.203580:0.158389:0.203580:0.158389:0.187146:0.134754:0.187146:0.000000:0.000000:0.000000:0.000000 . :@0.211755:0.203580:0.218989:0.203580:0.218989:0.187146:0.211755:0.187146:0.000000:0.000000 b. La expresión :@0.104633:0.234494:0.238815:0.234494:0.238815:0.218060:0.104633:0.218060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racionalizada equivale a la :@0.283606:0.234494:0.489841:0.234494:0.489841:0.218060:0.283606:0.218060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 expresión :@0.134754:0.262230:0.209627:0.262230:0.209627:0.245796:0.134754:0.245796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . :@0.237856:0.262230:0.245090:0.262230:0.245090:0.245796:0.237856:0.245796:0.000000:0.000000 c. Para racionalizar el denominador de :@0.104633:0.294404:0.403361:0.294404:0.403361:0.277970:0.104633:0.277970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se :@0.470057:0.294404:0.489808:0.294404:0.489808:0.277970:0.470057:0.277970:0.000000:0.000000:0.000000 debe multiplicar por :@0.134754:0.318358:0.286982:0.318358:0.286982:0.301924:0.134754:0.301924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.347550:0.318358:0.350753:0.318358:0.350753:0.301924:0.347550:0.301924:0.000000 2. Encuentra el factor racionalizante de las expresio-:@0.073089:0.351356:0.485772:0.351356:0.485772:0.334686:0.073089:0.334686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nes planteadas.:@0.103214:0.367998:0.220860:0.367998:0.220860:0.351328:0.103214:0.351328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.392859:0.120076:0.392859:0.120076:0.376426:0.104633:0.376426:0.000000:0.000000:0.000000 b. :@0.104633:0.423772:0.121531:0.423772:0.121531:0.407338:0.104633:0.407338:0.000000:0.000000:0.000000 c. :@0.104633:0.454685:0.119708:0.454685:0.119708:0.438251:0.104633:0.438251:0.000000:0.000000:0.000000 d. :@0.104633:0.485599:0.121512:0.485599:0.121512:0.469165:0.104633:0.469165:0.000000:0.000000:0.000000 e. :@0.104633:0.510459:0.120445:0.510459:0.120445:0.494025:0.104633:0.494025:0.000000:0.000000:0.000000 3. Racionaliza las siguientes expresiones::@0.073089:0.544970:0.392383:0.544970:0.392383:0.528300:0.073089:0.528300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.574394:0.120077:0.574394:0.120077:0.557960:0.104633:0.557960:0.000000:0.000000:0.000000 b. :@0.104633:0.614540:0.121531:0.614540:0.121531:0.598106:0.104633:0.598106:0.000000:0.000000:0.000000 c. :@0.104633:0.654685:0.119708:0.654685:0.119708:0.638251:0.104633:0.638251:0.000000:0.000000:0.000000 4. Racionaliza las expresiones con raíz cuadrada en el :@0.073089:0.698404:0.489886:0.698404:0.489886:0.681734:0.073089:0.681734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 denominador.:@0.103214:0.715045:0.210414:0.715045:0.210414:0.698376:0.103214:0.698376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.739109:0.120077:0.739109:0.120077:0.722675:0.104633:0.722675:0.000000:0.000000:0.000000 b. :@0.104633:0.779254:0.121531:0.779254:0.121531:0.762820:0.104633:0.762820:0.000000:0.000000:0.000000 c. :@0.104633:0.819400:0.119708:0.819400:0.119708:0.802966:0.104633:0.802966:0.000000:0.000000:0.000000 d. :@0.104633:0.859544:0.121512:0.859544:0.121512:0.843111:0.104633:0.843111:0.000000:0.000000:0.000000 e. :@0.104633:0.899690:0.120445:0.899690:0.120445:0.883257:0.104633:0.883257:0.000000:0.000000:0.000000 f. :@0.546961:0.149407:0.558300:0.149407:0.558300:0.132973:0.546961:0.132973:0.000000:0.000000:0.000000 g. :@0.546961:0.189552:0.563785:0.189552:0.563785:0.173118:0.546961:0.173118:0.000000:0.000000:0.000000 h. :@0.546961:0.233271:0.563914:0.233271:0.563914:0.216837:0.546961:0.216837:0.000000:0.000000:0.000000 i. :@0.546961:0.276989:0.557895:0.276989:0.557895:0.260556:0.546961:0.260556:0.000000:0.000000:0.000000 j. :@0.546961:0.320710:0.557766:0.320710:0.557766:0.304276:0.546961:0.304276:0.000000:0.000000:0.000000 k. :@0.546961:0.364428:0.562194:0.364428:0.562194:0.347995:0.546961:0.347995:0.000000:0.000000:0.000000 l. :@0.546961:0.408147:0.557729:0.408147:0.557729:0.391713:0.546961:0.391713:0.000000:0.000000:0.000000 5. Enumera en forma secuencial los pasos que se :@0.515416:0.452699:0.908312:0.452699:0.908312:0.436030:0.515416:0.436030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 emplearon para racionalizar.:@0.545542:0.469341:0.759931:0.469341:0.759931:0.452672:0.545542:0.452672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.546961:0.509332:0.562404:0.509332:0.562404:0.492898:0.546961:0.492898:0.000000:0.000000:0.000000 b. :@0.546961:0.559056:0.581193:0.559056:0.581193:0.542622:0.546961:0.542622:0.000000:0.000000:0.000000:0.000000:0.000000 c. :@0.546961:0.602475:0.581193:0.602475:0.581193:0.586041:0.546961:0.586041:0.000000:0.000000:0.000000:0.000000:0.000000 d. :@0.546961:0.652197:0.564576:0.652197:0.564576:0.635763:0.546961:0.635763:0.000000:0.000000:0.000000 e. :@0.546961:0.683363:0.562773:0.683363:0.562773:0.666929:0.546961:0.666929:0.000000:0.000000:0.000000 6. Determina la conjugada de cada binomio.:@0.515416:0.728595:0.842349:0.728595:0.842349:0.711925:0.515416:0.711925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.546961:0.757321:0.562404:0.757321:0.562404:0.740887:0.546961:0.740887:0.000000:0.000000:0.000000 b. :@0.546961:0.788949:0.581193:0.788949:0.581193:0.772515:0.546961:0.772515:0.000000:0.000000:0.000000:0.000000:0.000000 c. :@0.546961:0.820577:0.581193:0.820577:0.581193:0.804144:0.546961:0.804144:0.000000:0.000000:0.000000:0.000000:0.000000 d. :@0.546961:0.853465:0.581193:0.853465:0.581193:0.837031:0.546961:0.837031:0.000000:0.000000:0.000000:0.000000:0.000000 e. :@0.546961:0.887615:0.581193:0.887615:0.581193:0.871181:0.546961:0.871181:0.000000:0.000000:0.000000:0.000000:0.000000 f. :@0.546961:0.913191:0.558300:0.913191:0.558300:0.896757:0.546961:0.896757:0.000000:0.000000:0.000000 :@0.577162:0.913191:0.581193:0.913191:0.581193:0.896757:0.577162:0.896757:0.000000 g. :@0.546961:0.938767:0.581193:0.938767:0.581193:0.922334:0.546961:0.922334:0.000000:0.000000:0.000000:0.000000:0.000000 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