IM 7.6.2 Lesson: Reasoning about Contexts with Tape Diagrams

What do you notice? What do you wonder?[br][br][img]data:image/png;base64,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[/img]
What are some possible values for [math]a[/math], [math]b[/math], and [math]c[/math] in the diagram? [i]Explain [/i]how you decided on those values.[br] [br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWcAAABoCAYAAAAtmTHsAAAbW0lEQVR4Ae2diffNxf/H+wPalZKOdiktEhFFi/ZNi04JKS1E1rJUSok6tCChiBDKmp0WKYkiESoiW7ITKaVlfucxv+/43u89d3vfz8ynz733Oee8z733fd/vWZ7zmue85jUzrznIKAiBHETg77//Nn/88YfZs2eP2b59u9m8ebPZunWr+fnnn82+ffsM/ysIgVxG4KBczrzyXngI/PPPP5Z49+7da8l42bJl5u233za9e/c2/fv3N/Pnzzdbtmwx+/fvLzxwVOK8QkDknFfVmf+F+euvv8yuXbvM3LlzTdOmTU2FChVMpUqVTPXq1U2VKlVM1apVTefOnc2vv/6a/2CohHmNgMg5r6s3vwqHqWL37t1mypQppm7dupaQ27RpY4YMGWLvjR492vTs2dN+//333/Or8CpNwSEgci64Ks/dAmNLXrFihalZs6apXbu2mTRpkiVrTB0uoFlzKQiBXEdA5JzrNVhA+WfSr0OHDtaUMXDgQPPbb79p4q+A6r/QiipyLrQaz+HyYmeuXLmyqVevnlm1alUOl0RZFwLpERA5p8dIT5QQBFiRUa5cObsqg9UaCkIgnxEQOedz7eZJ2bAp//nnn4bJv9KlS9vlcqxxVhAC+YyAyDmfazdPygY5oyk3adLElCpVyqxZs0aTfnlStypGcgREzsmx0T8lBAHImZ2AjRs3tuS8du1aq0mXkOwpG0IgCAIi5yCwKlKfCDizRuvWra1ZY/r06XYJnc80FJcQKGkIiJxLWo0oP0kRGDRokClfvrzVoBcvXmy2bdtmdu7caX1r4F+DXYFa45wUPv2RYwiInHOswgo5u6tXrzYNGjQwZcuWtcvpWL0xfPhw8+qrr9ot23PmzLFOjwoZI5U9fxAQOedPXeZ9SdiSzfrmFi1amGrVqpkaNWqYWrVq2Ysdgx999JFs0XkvBYVTQJFz4dR1XpQUswVuQRcuXGiGDh1q2Ck4fvx4S9qQN/ZpBSGQDwiInPOhFgusDBAwTpCcHw2+c4mYC0wQ8ry4Iuc8r2AVTwgIgdxEQOScm/WmXAsBIZDnCIic87yCVTwhIARyEwGRc27WW8HnGt8arGvG1qwgBPIRAZFzPtZqAZSJLdycF6izAgugsgu0iCLnAq34XC/2zJkzzbPPPmsd7ud6WZR/IZAIAZFzIlR0r8QjwInbHPD6yy+/lPi8KoNCIBsERM7ZoKZ3/lUEsDP37dvX1KlTx25I0frmf7U6lHggBETOgYBVtGEQgJiZCOzSpYupWLGi2bBhg7Zsh4Fasf7LCIic/+UKUPLREGACEAdIkHPDhg3NxIkTra/naLHoaSFQ8hEQOZf8OlIOYxDgxG0cHPXo0cNMnTrV4ON5y5Yt2rodg5G+5gcCIuf8qMeCKIVzetStWzczduxYa29mUhBXoZwxKNtzQYhBwRRS5FwwVZ3bBcXWjDe6WbNmmfbt25t169YZNqJMmzbNvPDCC4Z1z/JKl9t1rNz/LwIi5//FQ79KGAJow2jF+/btM/PmzTP169c3S5cutZtPIOxdu3aZl19+2fTr18+eigJhc19adAmrSGUnMgIi58iQ6YXiQsCtzNi8ebP58MMPTYcOHczs2bMPaMgQMKYOtGi0aXw7r1ixwp4vyMShCLq4akrphEAgEjkj7DQYho8cVb9792471GS4GfVC49ElDBLJAOcC7tixw2zcuNF89tlnZsCAAaZr1652IhC5QwZjA9ry+vXrTZ8+fexE4eTJk83KlSvt2YLElSgN3ZPsxctAVA7jeTgQmWRk53vEljE5Oy2FTHCY5pIlS8zo0aPNkCFDIl2DBw+2Q9AXX3zR6BIGiWQAG3LHjh3tQa6dOnWyy+UgaswbyQLyyfrnBQsWGM4WbNKkiWnWrJlh8pD4EqWje5I/JwOvvPKKgZui8hkcuGjRInvYMNzISM7XiC0jciYxtGUaCBMwDCGZJUdTGTFiRKRr5MiRZsKECWbGjBm6hEFSGUBjRt7Yns3yuUyEHs0FLdqN6r799lvzwQcfJE1DMqg26GQAToKbovIZHAgXtm3b1ioRP/74o9WifRB0WnImEQSehf+ccoyzGex+7ih6eosoFyTPRZy6hEEiGcBeXNSlccgthE5cidLQPclerAw4XorCZTzLaA0unDt3rnn++eetwsq8B/HFm9+SjfqS3U9LzjQSEm/Xrp21/WGnKWqiyTKj+0JACAiBXEQATsT+PGzYMNOyZUuzadOmIruzTUvOTMygMXfv3t1O+pEJHyp7LlaA8iwEhIAQSIQAnOgIGlMHWjRKbVFCSnJmWMgR9M2bN7dbZFNNyBQlE3pXCAgBIZAPCMCZkHKrVq3Mp59+ak1r2ZYrJTkzEfPmm2+a4cOHW9tKtonoPSEgBIRAoSAAb44ZM8YMGjSoSE65UpIzk4AsMVm8eLGdVCkUcFVOISAEhEC2CDAJvXz5ctOrVy/DiqFsQ0pyZjkTCeD1C3VdQQgIASEgBFIjgO2ZhRO4FWBlW7YhJTnjKxfNWbbmbOHVe0JACBQiAhB0//79DcepZRtSkvMbb7xhhg4dqtUZ2aKr94SAEChYBEaNGmVXumULQEpyRmseN25ctnHrPSEgBIRAwSIwZcoU6zogWwBSkjNq+fTp07ONW+8JASEgBAoWAXdiT7YApCTnVatWGdw1KggBISAEhEA0BLZt22Zd2EZ7679PpyRntiPqEgaSAcmAZCC6DOC0C98b2YaU5Pzaa6/ZbYg4O9IlDCQDkgHJQOYywFK6Tz75JFtuNinJuVatWqZ8+fLmnHPOMeeff76pUqWKriwxqFixoilbtqw57bTTzNlnny08s8TRyeAZZ5xhTjzxRHPqqaeas846S3JZBDxp26effro5+eSTzSmnnGLbu8NZn9E577zzzjMVKlSw7ZxFFdmGlOQMiVxxxRV2rd57771njwriuCBd0TFgG/y5555rrr32WjN+/HjrZ1g4RsfRYcZk9Zlnnmnq1KljVxS5+/qMjik+r3FuRmd39913W7/EwjE6jg4zFlFwwAP8iQOkbENacr7zzjutL2dsJ7H+T/U9mj/cr7/+2jASuffee60Tefm0joZfvLyxe7V69er2wFccnMf/r9+Z44tfYpz0MLrr3Lmz3REs/DLHLx4rjq+aOXOmueCCC8KS81133WXPZ9MuwWz7v/9/jz32l1xyibn//vvN1q1btbGnaHCaL774wtSsWdM0atTIkkkRoyvo19nNNn/+fGvO6NKliz3FvKABKWLhcXyEFo3yEFRzFjkXsab+87rI2Q+OLhaRs0Oi6J8i56JjGBuDyDkWjRz4LnL2W0kiZ394ipz9YUlMIme/eAaPTeTsF2KRsz88Rc7+sCQmkbNfPIPHJnL2C7HI2R+eImd/WBKTyNkvnsFjEzn7hVjk7A9PkbM/LIlJ5OwXz+CxiZz9Qixy9oenyNkflsQkcvaEJ6fmFsdp4oVCzsWFZyGQs8MytHwWEjk7TD3RR8JoRM4JYYl2k7XbLMBng03oddz5Ts4IPYvxEUzwDH2sWb6TM4TJRiXwREZDEnQhkDP40cZxRgSeIYPI2QO6nPPFtmqOktm5c6eHGJNHke/kDBn/9NNPZuDAgebjjz+2xJIcjaL/k+/kDIFQxn79+pnvv//eQKChQiGQM4rDypUr7bZqdkOGDCJnD+hCmDh2ad68eXC/1flOzmh5eOBiyyodHhpKyJDv5IyywO6yatWq2ZOcQ47sCoGc9+zZYwYPHmxwmDVixIiQoimbcyy6DFnQ3KIO/SZPnmyd57z00kuG/fAhQy6RM401qqaGpocHrosvvtg6dUJ7CBlyiZwdnlHkc9OmTaZJkybm5ptvtiOSkGaiXCJnMCS/fEbBE8f3jzzyiPUGOXfu3JCimT/kDNBoXWhaOPTGXumcAtHgM9EYeO+7776LbEvCcxQuPDnra8eOHQcOFiB98uUzFBc504ghRjBBW+C7c8wCnpk0ck6/YSidybMOI+qtcePG5vrrrzc4ecJk5PKwf//+SA3JxZnqs7jImbxTNjpvZ68ET2SEKx1BIEdowRs2bLDxZCpXa9assR1d27ZtrS8WsOTau3dvVopIKizJU3H41gAr2jMyCZ7Ip5NJ7vE9XaA+MJ8ho9RDOvxdfKtXr7Yd3dVXX2044QkcHZ7kKdN4XHypPilLXvjWAGC8ik2cONEMGDDA0KvhGOibb74x06ZNy0ijxUPZDTfcYNA2Mg1UxoMPPmjdJC5fvtwsW7bMcNr4W2+9ZWgYvgmlOMiZMkEk2NY4NZ2Lsm3fvt18/vnnZt68ebZhpMMIu/F1111nySfds/xPujS0SpUqmTvuuMMSEekRz6RJkyw5ZdLJZpKWe6Y4yJly0YC/+uor8/rrr1vXpJAscoabzR9++CGt8oAczZ4927Rq1crKNL/TBdJFXsqUKWN69epl08MNJXmgfVDHUTrOdOkVFzmTDh0cbW3IkCFm+PDhlighZdzoLliwIF1WbX307dvX9OjRwyoAmXZ2cASOslq3bm0Vj1mzZlm+oR5RJHzKZ16QMxoFhMHQDY9taF2QAuDjve2BBx7IaKLu/ffft+4OaTiZBASbYQ6Ejs/VYcOGGVyjkj42PjRAOodMGlIm6fFMaHKmTFu2bLH2tEsvvdRceeWV1nf0rbfeaju522+/3TZuNIZ0AVsntrlMNBniAidGLscff7z1EkfDAcurrrrKDiMfe+wx6yY1XbpR/g9NzpQdbeuZZ56xdnTkEq2rfv36tgOvW7euWbJkSVoZQflgZEY9LFq0yGp76cqJRo7LyaOPPtpwmgaEctNNN5nLLrvMVK5c2ZIKIz1foTjImTLRqdG2cZ17zTXX2LaO/2jmKCDOUaNGpS0SRIrnPEwUKB2ZkvPYsWPtYQLPPfecfZ/6Qz5Jl9NdfC4IyGlyRjOATOi9atSoYW677TYzY8YMO1yZOnWqFeSTTjrJdOvWLaHmTIXQeNxQb8KECfYEBwjV3eP/ZL0hgkJDQUguvPBCOyHISbmQ+6BBg2xjxOQByL5CSHIGD/KK1o+wtWzZ0ixevNhqdsz2X3755YbTGRidoHXFBlcX3HfYPfnkk+aEE06wZM89tB0wS6atQfjUASe9QCA0HuqCMj/66KOW6NGMfIaQ5AyejN7oVLChIwsQNaMQSAEsIesVK1YkJGfed8NmlIB33nnHEjurWPgNntRXMjwZ8vfs2dN2dk5ZYTRHmSEVMF64cKE3OMlvaLMGigNlwmc08oV8rF271mrAKETcR1FLFGjHjMyQxXXr1lmZatq0qR3hQtZgjXwiy/GBe7zPfMiRRx5plQeUD2QT093DDz9sT9NhtAkOPkJOkzNCSc+P43mOxUHQIFPuQxLNmjUzRxxxhCWTeIIEbJ5hqMgZh1wMGUuXLm1nt/nN8A+TCI0gUXBkwvFGaCI0OmdHXLp0qdX66DB4zlcISc5orpAHJ63Uq1fP+t/mHkIJyaAFsyoFWzDljA1gDmFArg5PCOCoo46yWg73GIKmMomgdUDIxx57rJ3Ewh5I2uCH1sgRSE8//XRsskX+HpKcaegstypXrpzp3r27lSNwAlNI5ZBDDrGyC7bcjw9gjBaIHHLCCKuBGKE9/vjj9jd4QtTJ5AsNE/OQqwPknXQg7d69e9sjkDAX+QqhyZk2y0lKdGotWrSwZkzS5MJMgzmMkfP69esTFgkNmZUWyCIjCU4TooNiIp8TcRj5YipB5uIDaUDqKAkHH3ywlVPkk/tgikJDfaKcUb8+Qk6Ts8s8WglaHkLqKov/6M0Y0kE48YBT0ZAuQxE0Xy7IB4CpZH7Xrl3bPPTQQ0mF3wk5vTUVTpqkT6OCqBlCciVrPNlUYEhyRvgYLnLeI3Z7MAMnhA/ipJxoz5SbcsYGnkGDuOeeew7gidYM/owqwJN3aQh0oIkCEzT4/YaAsI269CEVfkPOnLDhM4QkZzorZJBlgSwPBCMCjZfJpMMOO8x2NuABzvGB5zDVgR0jQxQQjoBCPvkNnmiRaIOJAmnQmWJ2g3Rc+tQfZASe7777bqJXs7qHTITSnImb9oo54bjjjjMoP3R+LmALBhd4IJmphjkpzHTgCS6Yzzg7krMPL7roIvsfI26Hk4ubT2QRbbthw4ZWPhkdOwWFvLHHAdKm84jnmth4onx3/JaTzvYhE4QMrRV7seuxAIeKAEiA57n4QGMAXIZ5aNxcaCdoOWjL/P7yyy/tpFisEMTGQ88JedP7MqnjKpXGhobIuYlo75CLrxCSnCFHll2hmVB2Fyg/k1mctccoJRGRIKB0QuTP4Ymmh4mChsM9TCRoNa6eXPzukzTAEq2dvLhA/TEpSefZp08fd9vLZ0hyprOCRBs0aGCH3i7DyAMkADZMHifCk2eRJ0YpYAfpMamHIoKWhnyBJ/LrSMLF7z5Jg1EdZr1YWygaJKYW2g0TWb5CSHIGC2QC+WMuhI7PBf7DnEnbBc9k7Y37mCHBEw33vvvusyMLzKLIAbZ/RhuUIz6AMXhz1iQmKTo4AnVH+0CZQbHjmUTvx8eXye+cJmd6yE6dOtleDy3B9ViQ45w5c+wQB7JJZpYAWIDkPS5ImSVxCDy/qXT+T9Z4sHVRWRAwwuIqBZJi4qBq1apWo06mKWZSQfHPhCRn4nYTcHRuLiCIjAw4CRhNLVmIx7Nr165W2wP/TPAEf05oJw0n/KTFsL9jx46WaJjg8hlCkjMmB0YByCiE6ALlwYRGWSlzqoAMctFQMRndeOONlkggmnTyiY2b0Q7acezoDQ2QiTQmJiF/XwH5D6U506Fjz0U+WR3lOhtkjrLRcR166KG20wKXRIFnHZ7UAR0U9eCW0zk8E71LG6YDQONm84nDkzLDQxA2yguc4CvkNDkj8MxAM1RxpgtIgPvYJiFaNC0KmUlgTSFaYywxJXuPimZlAcPM9u3bH5jxpYKpeIazDJ8wbyTTFJPFnep+SHJGc6DBorlu3LjRZoO8Yx+95ZZbDqzlTpW/2P8gB8gp2cgj9lmEHHsgQ1ZsqY6cqU+0HUYhTGqh2fgMIckZUwzlp5OiAVNGNDC0NkgTDZCyZRKoB+JjtQzaWTJtmbhcJ4lmiImK9CBz7hMPZM0opEOHDgdILpM8pHsmNDnT3lCG2rVrZ/NNecCBUSsmHsoKgXM/XUC+MGnSdiF68p4qgB/yjOnEdXYufdqHM4HGavSp4svkv5wmZ2ZYWaLEygLWNgI4jQDtCq0ETQ/BzIQcAAtyglSJI11AyLEjHn744dZOijaChsi7mFjoRZ966qmMKj5dWrH/hyRnRh9MYCLoCBzaAR0NM9TYj+m4EP5Mw7hx46zZB6xSBYQczYThd6lSpcwTTzxhh7DgSfpM3mAfHTNmTNIha6r4U/0XkpzRIsEMBQKNCtswSgQjLeydLKdznWCqPPIfnRSmJmyu6dZFoyDQFuhosVNjBgFHzEOkz7wAJEP+Mm0b6fLH/yHJmfIzomWSmWVz4AaemMkgWNo6WnWyycD4/CPb2IlRCJCzdITOM5inUPgwnUDCpI/tuU2bNnb0zqQ1JO4r5DQ5k3mGhe5oe0CjgTNDzdpmhDOK5opQQxLpelHAp2KwM5E2Gh3DbmZ7WW2AXZCJLcg+k7iiVGZIcqZBs7aYSRKGe2iwaFfY+RidIJwsZco0QMpoNukEH9zRiJnMYQKVtFjdgJ0ZwWcEAmHHmo4yzUO650KSM4TIWneIELmECOj8IWtswSgWKBiZBDCEoLiQqVSYQrho13SyjRo1su2B+RSWd1KHaHmsCUbWU8WTSb5inwlJzsRNm2P5HBoynRSrWJBTLiY9kRUwzyQQH/Lp8Ez1DhjRNjBTMoIDU9o+6dPRMgpyrhuI11fIaXIGWIQbUma4Q8/JUAVSZF0uhIk9icbvO9BDIiiYT2jg2K+w49GzYzNFC/XZi7r8hyRniBSShAjBkyE0tmYmUCAVBBINwndAoJnsYXkUQ0ZGJEy0srifPLADDE0p1VA+2zyFJGfIj5EG5gWIEo2Pddos30RxYMKOZ3wHSIc00MxpC6yPZnMUxIK9lklAZ2bxmTb1GMrm7Don5B8yZskcChDaLxOvYIychGhzpM3IGKWB0SDmJRYb8JtRCBozSotPYqZecpqcnWBRCEgagaNyaMQMWxB8iNmnduDSpGMgftLmk3SxdZMPvvuuKJduSHImDfINdg5PyoYmBinzGaKjo34gFIcn6aAlgScaC/dDhZDkTJ6RE8wJ2DUpC+VEZsCY7yHkhDjBMBZP0qZ9gGuITs7JTihydvUPnmBHWZxsxJY1lHySLm2AuqPeHJ6uTkNwDGnlvG8NhJFKAUC+AxSf7rurWJ+fsWm4tEiffPA7VAhNzuSb/MfjyW/KHEIISTMWT7679EPjGZqc48sSX85QchKfTiye/BciIDehydmVK7atufbHZ6iyuXRdGsWBZ16QcwhBK6lxFgc5l9Syh8hXaHIOkeeSGmdxkHNJLXuIfImcQ6AaME6Rs19wRc7+8BQ5+8OSmETOfvEMHpvI2S/EImd/eIqc/WFJTCJnv3gGj03k7BdikbM/PEXO/rAkJpGzXzyDxyZy9guxyNkfniJnf1gSk8jZL57BYxM5+4VY5OwPT5GzPyyJSeTsF8/gsYmc/UIscvaHp8jZH5bE9K+QM2sGdWWHAT4v2B3F8VtuV5KwzA5LcHPkzI4vdpMKy+yxhJxxZYpfG/zKsFFEeGaPJ+TMbs7g/pzxd8E2S7fLhoR1RccAnwn4msBnA05XhGF0DGMx46QSjjdiezNOc2L/0/do2LIzlq33OP3itBZcAQjDaBjG4sWuUraK49ODI7GyDQelehHHL2h7+LsYOXKk3Q/Pnnhd0THAQxtuKPF9wanUHGMkHKPj6DDDgQ4ezXAGBJ7uvj6jY4os4uAJD4b4RMHRk3CMjqPDDF8h+O+hveOQLNuQkpzRTDib75hjjrHHtOOzV1d2GIAjTsU5ZFJ4ZodhrOxxjBZuXx2esf/pezR8y5QpY48lE57RcEsmZ5ylyfmP+IzH6122ISU5c3IAWjNuC7n4ris7DMAP/8qc9Scss8MwVvbAUXgWHUeHqfD0hyXtGzxxTRp7bFxUkk5JzthRsEfpEgaSAcmAZCCaDOBdsCieBFOSc1Sm1/NCQAgIASHgBwGRsx8cFYsQEAJCwCsCImevcCoyISAEhIAfBETOfnBULEJACAgBrwiInL3CqciEgBAQAn4QEDn7wVGxCAEhIAS8IiBy9gqnIhMCQkAI+EFA5OwHR8UiBISAEPCKgMjZK5yKTAgIASHgBwGRsx8cFYsQEAJCwCsCImevcCoyISAEhIAfBETOfnBULEJACAgBrwiInL3CqciEgBAQAn4Q+D+/R3qAkeAo+QAAAABJRU5ErkJggg==[/img][br]
What are some possible values for [math]x[/math], [math]y[/math], and [math]z[/math] in the diagram? [i]Explain [/i]how you decided on those values. [br][br][img]data:image/png;base64,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[/img]
Here is a story with a diagram that represents it.
[size=150]With your group, decide who will go first. That person explains why the diagram represents the story. Work together to find any unknown amounts in the story. [br][/size][br][list][*]Mai made 50 flyers for five volunteers in her club to hang up around school. She gave 5 flyers to the first volunteer, 18 flyers to the second volunteer, and divided the remaining flyers equally among the three remaining volunteers. [/*][/list][center] [img]data:image/png;base64,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[/img][/center]
[br][list][*]To thank her five volunteers, Mai gave each of them the same number of stickers. Then she gave them each two more stickers. Altogether, she gave them a total of 30 stickers.[/*][/list][center][img]data:image/png;base64,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[/img][/center]
[list][*]Mai distributed another group of flyers equally among the five volunteers. Then she remembered that she needed some flyers to give to teachers, so she took 2 flyers from each volunteer. Then, the volunteers had a total of 40 flyers to hang up.[/*][/list][center][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcIAAACACAYAAACY/2mWAAAgAElEQVR4Ae2dB7QVxRnHHwoREERRmpoYIQqIChKpNjQkEkRQikBsGLuEoqIkllAkRDGAEYMoYk6MCSKoRIhGEY0FG1gQkKAYQBEbhiJNkUzOb8x3nbdvb9m7s/fx3v3mnPdmd2Z2ym9n5z9t95b07t3b9OnTx2DLX/Bc3NX+llEcFsrXD8dM96BXr16p+pwpnPpFvxdaf6Mzy1TPhKfWWb9cYQ5T4Sq23Au49+zZ08yZM8eUlJSU8M/stddeZu+997Z/NWvWNLVq1Uqdi7va3/CJygG2MN5jjz1MjRo1LFflmx/LdOyps1WqVLGcq1evrnX3/89yOl5R3eHLNdWqVbOMq1atqow9M5Z7Qv2Vdlm4i5/a/toN2mM4jx8/HvsbITzllFPMoEGDzC9+8Qv988gApl26dLHAGzZsaAYOHKh8PfKV+nrppZeaunXrWjHs0aOHMk6AMazbt29v63KTJk20vfDMWNpfRiq0y4jgFVdcoXU5Jme4Bttd3Bo1amQ533bbbdjfCOG0adOMmmQIzJo1yzbQ7dq1Mzt37kwmkSKP9YsvvjDNmze3FfuZZ54pchrJFX/s2LGWcb9+/ZJLpMhjfumllyzjBg0amK+++qrIaSRX/I4dO1rOEydOxP5GCO+6667kUizimP/73/+a6dOnW+D0pnfs2FHENJIr+oYNG0zTpk0t5yeeeCK5hIo85ptuuskyZp1FTTIEFixYYBnXr1/fbNu2LZUIbYkaPwRg2aFDB8tZhdAP06yxPPDAA6kR4fbt27OG1wDRCfznP/9JjQjnzZsXPQK9IisBGo8xY8bYxuOss87KGl4D5EfghRdeSAnh1q1b84tEr8pKQIRwwoQJ8E4/ItQeSFaWOQVACOHM1KgIIWyVb074cgrkjgiffPLJnK7RQNkJSD2VuiojQtax1PglIIxdIdyyZUsqEfHHQe5LylMPMhIQdq4tQqgjwozo/HmGCaG/2DUmCLgjQhXC5OqECmFybCVmVwjdqVHxVzseARFDFcJ4HCNfrUIYGVnkCxDCZs2a2ZG3CmFkfDlfoEKYM6q8A7pCqFOjeWPMeqEKYVZEfgOoEPrlGRabCmEYFf9uKoT+mQZjVCEMEknmXIUwGa5pY1UhTIvGm4cKoTeUGSNSIcyIx4unCqEXjFkjUSHMishvABVCvzzDYlMhDKPi302F0D/TYIwqhEEiyZyrECbDNW2sKoRp0XjzUCH0hjJjRCqEGfF48VQh9IIxayQqhFkR+Q2gQuiXZ1hsKoRhVPy7qRD6ZxqMUYUwSCSZcxXCZLimjVWFMC0abx4qhN5QZoxIhTAjHi+eKoReMGaNRIUwKyK/AVQI/fIMi02FMIyKfzcVQv9MgzGqEAaJJHOeuBDKC4uZsp9LmEzXR/XLlF4mv6jphIUvhBBmK4P4ix2Wz3zcfMeXTx64RoUwX3LRrvMlhFHqTZSw0Uqze4b2JYTFxi3q3UxcCN0Mhd2MMDf3mkIcFzIPhRBCYVbIckmaudpJ5i1pIZS8i51rmX2Gi5p21PC55NWXEIallUt+cwkTFrcvt0Kk70sIs5U5XVnSuWeLr6L5Jy6EFQ3k119/bTZv3mw+/PBDs3btWmtv3LjR230tpBCmy3R53hPS5puJH3/8cYrx+vXr7U9S+cpX0kKYjqvrLmUR2/VL4thNh2/Yfvrppym+n3zySeq7tj7TTlIIfeYzn7hcnnK9uPFzSNQx2gf+1q1bZ/jpL/GX8D7sQgmhm1cph9iuXyGOSReecBXGfD94165dpZL3mb9yF8JgYTiXP0od9C9FwuMJvw24Zs0a89RTT5nbb7/dXHnllfYHHIcOHWr+8Ic/mFdeecWIIMbJU9JC6LJz8YTlOV1Y9zpfx1RiGueFCxeae++91/zyl79M/UDmzTffbPgUGhXfh0laCMNYhuVbwokdFiZft7A4N23aZN5++20zc+ZM+8sQ8gOkv/71r63bypUrvf4GZj5CKPkWO1h+cRc76F+e53Qw/v3vf5vHHnvM/pL54MGD7Q/lDhs2zNbpt956q9RPJZHXuOUoDyF08x03/1HuF4MQ2oDnn3/e3HnnnQau/AA0nPnBXNzpNLvGV/4SE8JcMhgWJszNLXhSx/wA5uWXX24aN25sDjvsMHPsscea4447ztoHH3ywOeqoo8zdd99teypx8pCEEGZilskvTjmiXvvBBx+Y0aNHm6OPPtp8//vfN8ccc4zhxzD5XUZ4f/e737UVPyiG+eQ/aSF0y54uf+nc3Wt9HjOLMXnyZPOjH/3IHHTQQaZFixaWLw84x/yeXd++fc1rr71WqnGWfIodJU/5CGFY/JK22BJGzsUWd+wwN9ff9zEduTlz5pif/exntq5SZ6m78G3durX9hXPq88MPP2y+/PJLb8nHFcJ0nMRd7LAMZ/ILCx/XbcmSJebqq6+2vyXapEkT88Mf/tDW4TZt2tg2A+bjxo0zjA59m8SEMNeMFhp2MF+S/ogRIyzss88+2/547qpVq+wIBnvSpEkGMdxvv/3M3/72N/sQynUSX/Bc3IN2EkIYTCPX81zznGt8mcLNnTvXfO973zMnn3yy7e1R6RkhfvTRR+aRRx4xJ5xwgv2dxuuvvz72L3EXUgilzLAM8gyeS1gfdjDu999/33bWjjjiCNvhoAFlShTG9KTPP/98s9dee5kuXbqYzz//3EcWjC8h9JKZBCOBNdOh/fv3tx1lOsy0AyyfwHfZsmWWxf7772/bkNdff71MXcg3e3GF0E03WGeC55nCun5JHTPzRhtx5plnmj/96U/m3XfftXzpRP/xj3+0vzFao0YNM23aNO9ZSEwIM0GWUkgYscW9POx33nnHTm8wvRRm6InwO4KnnXZaanopn3yXpxDmk98wFrm6uekxYmFEzdRSmOGB33vvvU3Dhg3tuoB7bVj4TG7lIYSZ8uPLL8jEPWda6cEHHzT//Oc/bXKuHw402C1btjR77rmnefTRR71kybcQBvPsJZMeI+HX4v/yl7+kHfFdcsklto1gOSVo8i2bTyEM5onzfPMVFldcN9YDaSPowIWZ++67z9ZfZut8/yRVYkJID5XpRuygYSGUNTf8abSCBjf83njjjZToBMMU+nzx4sWmatWqtscSnKeOkhcfQkjlZb0SRkuXLi2TPNM45Bd/RrRBQ++WtboXX3zRbgwK+hfiPPgAskbLaIbOxtNPPx0rCz6EEGGBEfU0bKrrvffes3xZFwpbxF++fLnly8Nd3kZYX3rppXbUPXLkSJslcc83f3GFcMWKFZaRPE9ufj777DPL9+WXX7abq4J5ZAqd+s2a6O5imBal/p500kne2q04QshsC4yoq0GDkCxatMj6s3EtaGijufbVV181O3bsCHqXyzkj8Dp16ph99tkntExxMpWYEI4fP96uVdxyyy1l8sc02aGHHmr9Z8+eXcafoS/rHP369ctL+d0HqkzkeTogLEwtNWrUyI5Y8ozG+BBC0ma6C0ZnnHFGmawgfm3btrX+TDUGDdOSTZs2tet1jISDJgl+wTSC54hzq1atbEPy97//Pegd6dyHEDIzwHomaxU8gK7hd+HOO+88y/eUU04p01CzhsEUJGuhs2bNci8t12M2HlSpUsWuxfrISL5CKPXr5z//uWUYHKHi//vf/976wZCpRtfQSbnxxhut/zXXXGM4L08j5aEtQwjbtWvnbZduHCFkBEUbcdVVV5XBg8jRBuDPKCxoWA9lOahz587eptKDaYSdC0ux3TB0furWrWuYHmU62qfxKoRu5m+99VZbKdh96Rp2XvXo0cNOg+2xxx7mrrvuKjU8Z6TDJpXvfOc75p577nEvzfnYzUfOF2UJyLQTjQibPNj+HzS5pulLCOmp8dAhHq4hH0zjwo8/Fvddg/91111nrz333HND1+NyLYsbb9zj1atXG9ZY6GwEG76ocfsQQkaBdHq458FRNY1T7dq1bR1mcxXTjq6hEWH2gBEuvXIx+XDN5xpJz7Xp1dOoUZ477rjD9cr7OF8hlATZvEMdZj3INYwG2ZxWq1YtQxsR/HFlZpkQSPznz59fqv1w4yn08ZgxY2x5WOPyJc5xhRC+cHYNnU6mcREU6in7I8RQ36grPXv2tOx/85vfiFe5288++6ydGkWgg89c3Mx5FUI3M2ww4SbQC3XNc889ZxsRdrexJsTI0TWMBmgMWc8IK2y2hkH8xXbjjnLsXs80QZ8+fWwjEixPlDgJ60sIEQsatSOPPLJUFphfZyTDjqtDDjnEdjrcAEzV/eAHP7CNCPfCLacbzj0mTC7h3GuyHbvxMbXI9mgaPToask7rhskWn+vvSwjhRB1m0V4MAslIpkGDBnZHGw+lO2KkEendu7d9YMNmQyQescPKmKubxJHJlrhY36I3zYYvpnwx4pfp+kx+cYXwwgsvtHx5ncY1bIyQjT3YbKZyDULOfWG9Ptu0nZQxaMt0tri78edzzHPH7kbWYBnNYnzEHUcIeY2GNgJRcw2jKerviSeeaOsEOzVdw3IAU5Ds5E63pi/h3TK6x/gHz+WafGzuM68Dcd9pi33GTX4SE0KmN8k0PQ8xNCJMKR1wwAF2YwqVnHecxOBP74XKJALpo8D5xsF15InRIL1PNnKwZhHH+BJC1kbgy6iDHh6G/DLNIQ8jnQkquzz0hJkyZYq9rnv37qFrX3HKlu+1TNVSjurVq6caETeuqPfPhxCSJqJMQwJrycObb75p9t13XyuGF198se3UuWswjNQRG6b+xV2udcuU1HFYWnQopSPHDAF1WsKJnU9+4grhoEGDbF3ktQ8xdIJ4LYHOHJ0j+DPFJ4ZpZ6YeGc0gkHHyL3Hma0vazBAxA0ZHrnnz5mVmEPKNn+viCCEzE7QRp59+eioLtAW8n8cghBm3evXq2bosZaEt4b09uDPtLO6pCDwLnBtvumNG18wKkFcE+vHHH08XNG/3xITwz3/+s70JTL+JoRFhoXPAgAH2fSaG5TLCAjiNCAWlEWE6KuwmSFzY+Lth0h271+R6LHFTEWmka9asaacUqUhuOrnGJ+F8CSEbDWgMWMNizQpDI0Ejcvjhh9ueHI0Jf2xEwbBtXhoRFvajGOHhXiMcxHb9cj3mIwaMoGhEfvzjH3tZj/AhhDCDJQ0J9RLDA0kjAndG0+wOpA4j5BiuoXGnEbn22mutm/wLMpJzsSVc0M7mHwzvnnMtdWLUqFE2n9QVNkj4MnGFEEbwlU4v+ULcqAu/+93v7EcAYCkjLPxZc6Wjx/KJzBxkK4/LUI6x5Tjb9Zn86VSwNnjggQfaDhBLPT5NPkIo5XriiSdsXfzJT36SyhIjPF5R4FljfwCzBDJi5Do+usAsB4MVNitmM5IWtnss17nu4pbOluuD/mxIQ6gYOF100UWJdOATE0LZQUUPlALSiNBwIChs8Wa6iUbknHPOseUWfyr+8OHDQ6G6gBgqc6P4Y5ow3R/iS2WNahA84j7++ONNtWrVbGPtrvcQX7oblymtOELopkeFZmTC9Kd88UYaCRo+eDKiYXqDdVkMI1uYc9MRTze+sDyz8xGuvITt2kHW+b6XxpQiOxlpDBFsdrH6MD6EkHywpkbeaIwwjPBo8NggQ/2jx4y/TDXiTyPDtBMPr5ggZznn/aggy7Bz1k9zNRI34XllhSUK1jPJ09SpU1PRuOHc41SAHA7iCiEfWIDf2LFjbWrsZDz11FNtXqnfbKrDn3AY2V/A8xi2wSOYZZ6LMJ6uG3WbndfurEkwnnTndHxYo6TjyQiLTr10StNdE9U9HyGUNOiswY93d6UDz1ecEJQZM2YY1mIRvE6dOtlLqAf4cw0DGM7D6oa4UX7qucsz3XHYvgrJZ9CW+HGnw88UOJ0jltPCZlnc8MG4cj1PTAhZ6wOo7Gqk90EjQuOCMMmIRobtjABpRPgChuwIylRAeuEsqDNay/THCChse3AmQKTLDabXxENHRfrXv/6V6ZKc/eIIoZsIa31M1bLri+3nPID0/GjwqCyUgS9dIJY0iDTcVCjKE1yTceOVYxoldj6mY8sUkPjNmzcv9IGRuMJsRJC1CXr3rMXxgrIvE1cIpd5169bN1mGmZXBjMwQbkGhEMDfccIP1f+aZZ+y5bBBj7YuOSDbDZ+aEYSZbXnfIFp/rzz1ndEKPn8aOTQ+55MmNI9txXCFkJEgbAUf48nlDRtuMqjFMgeEvux7Z6cgSBeviNOLZDEIa5MpXdvhz3dm8x/MRxSACCA2b1cgzO9zdPQ1Sh8SOErcbNo4QstaHgDB65t6z65Lnli/hMFNAfmmTOcfQjrCcwqwdu9KzGZ5h3ulzWYYd08mN2n7CDc0466yzbBnY8+BzNiNYtsSEkMaRSswOKnojVHYaEUYlGHp8AKd3jf/EiRNteNYUc3lgaZyohNn+fvrTn0Z6BYMbwEgIEUA0GBFmuwFRKnscIXTTQdwZ7VGR6fkyDUJ+md8nHAxhywicRoPpPXqtuTYiCC2VQ/gyupRjbDnHdkc/wQoWds7ImsYNEWTX5f333x8WLG+3uEIoCfMQUod5rxHe5JUHUkbAiAv+NLjcAxqUXBsR7s8FF1xQiqnL1z2OunuazV3sxGRNBRHkFRq3oXfrkZQ1HzuuEMqGOl6FYG2KdUz4yQibDgZ8aRNoIxhxMWPErmjXpCsPHQGXo9RZ141jdx+DG2+6Y+4dsxfcb0SQqcXgzuJ010Z1jyOEjM5oExBCGLEWyzMnU808J0yXI47wpW3CP9v+AeFNmxJkGXZOG+p2ErIxIH5mQZhNRMi5b3HfLc6WZmJCyC41KjHrPzR8NCL0HmRen11WPKhAoqGmsKwPcl0uBrAyNZrJZgoWsHLzJO7gubizMQLxZgqRz35lE0G5Llc7jhC6adAYM5JCCGHJJiNGf9KIEJYKzQYUOh18FopKxdRHNgMbRpi8O+my5cFyzzlmWind1HMYYwTlV7/6le0UsRbMWnJYuGAecwkj18QVQkkLoaIO0/NnWpE6wQfZxUhDzu481rZoRBhdpOMh12HTmDIrwtQ9HMUO8uWc8uRqEEG+fsJMAa+j8KqM769wSF7iCCGMmZmAL1OfdKZ4/hFD2OAPE/zZU8BaMq+zMGtEfc7FMPXs8kzHmHC5GkaCjLRot0QEc81Prmm44eIIIW0ZeaQdo71gVyvtsJSXesHomHaE0SCdf9qLXGdnqJcu3+Cx8GY0yD3N1SCC7MwWEWT6OWmTmBCyu5JKTAPNDlIaCXYsimHOmIeVm8RUE/4IkNuISIMk1wTPcQ9zk/BRbOLhhgVFMF386dyzpelLCBmBNGvWzDYMjL4RQXpQboXjnPUARs+MHmUTUrY8hvlHKW8wrJy7IsgD6e4GlDBhaeOWzd+9Lq4QSlyMFKjDbIagV81akPuqBPnHn+3+dPhoRNipF8WkK1c6dzfuYBimQ//617/a54qRoCuChJU/N444x3GEkHQRbEZ4rGmzL4DZC7fnz8YN/PlOKh0QWAe3+mfLf5AR4fPlwLPFKEhEkLYCEXTTcI+z5S0X/zhCyNQiU8msAbJ/gI6cO82OqDPDwcesmdVgxojlFOpRVJMv02A6iCAdUESQadqgCPpKJ5huYkLI6IFK3LVrVztFx1cMaAjFcBNoDAHfq1cv23PJ9EUR3xVM8oHNtADToVRshIOK446s3LBxj+MKoXBgxMYaKZtl2HDChghpRCQMvSoaFzYpcS+YghIjYeQ8XztdPEF37j0NMz1UHrzp06fnm2TW63wJIVNxNL7sbkTk3EaETDz00EPWn2lehIdOXT6NSLYCBVmGhadjibAwQ8A6Mfc600jQjdM9Dos7nVtcIWSZBL68hkIng/0DsrGLNKkzTO2xzwDxgXGmafh8y5GufK477RVrlOQDcaHNko0bbjjfx3GEEJFmlE0jz/QtI2pmITDCivaX55G2gqWrXPYPSBklDjmPYxMXo37ywT1n2jkognHiz3ZtYkLI6ApRYQ6ankbYlBwNuUzh8H0+pk2jwCWshA8eU3DXLwhC/HBn2oAePQ8l+aGRZjMOD538MU0ox3EegLhCKOVg5MxUMyNBtjvT4XBH04QbMmSIrdxMfbAJKey7pBJfOls4CV85d8OHubn+9KRZT6M+IIRMhcEXpmILW2w2S9Hw5Gt8CSGbWagT1FNG1MF1IEba+NNz5eFlZIgJ8nDP3WMJi1uYe7D8bhj3mHD8Rh71gPwwvcg0lTCFs9RfsWWJIphGlPO4QkiehS/1Ijglx32kIacNge95551XhhP5dfkJF9eWYwnr2rmWl9GpNJZs/mBN3m0jhCvMOfb1jdk4QsiSFM8908lw5CtfdPpdwy5dNlQhkkyTBnfGu2HdY2GKLcf4h52710mYoBsdezpEdNh5D5f1XViGMYYvgu6mG4wv6rnc2//vVSmxFdPHuzB8Bok1CkSQHofbiEgBuAn4c5PcabJ0hZDr8HeP04XP1Z1GQz6ZxQiLbboIM3+MDvlzzxGYfPPgSwgRF3a1wg8xDDYi5I9djvjzd9lll+WKI1I4uQ9ih11MJUe0GZ1SydmFK1x54d/lC2dEXT7EHBZfNjdfQujyY1QYbERopKg3lIsppigbArKVIao/m6TkXvOdWTZKSZ2VeuzafK5KTKZ7J2HC7LhCyNqr5Jk64IozeWKUy/Q/IzAadMLjnm9+g2WIEg+jV8kr7VmQr7CVusx7kD5MFCEMlkf2EZBvhI52LmhYf6X+0gaz6zmKCaYX5dpgWEaDdOS41+SVti1T/WW6PE5nOZi+dyEUOGzPZRs0871sKsCIn2SCL0fgT0+FmyZhguEkfDo7GF7OxU53nbgzhYBQMCwHML9JyPqa+8dvkck5DWS+Jo4QBsvD7jnyzEveTMnh74b5xz/+Yf3Zzs/CdXkZdizyPUPyyoMHX/5cpsIWN9bm4tQHX0Io/Kij8kqPy5DOHb1Y/JmWjGLc++ReJ+5B2w0TdkxHEr7khXdzhSe2cBYbNx9T/3GFkFGW5DnsAw/McLDjlTrDF6iCMx5hHIJuwjHonu08eB3TouSVP0amLl85dvnKTt9gPNnSDfpHEUKuddNjmpkOHHWCdzXd/QMSllkMynTFFVfYnZrB9CVcmHscNzefxEMnkgEGeaUNFqZhNpxp84LliZMf70LoZiZYWNdPjtOFSecu11VUO44QumUuBJ/ySiNuuj6EkDwE8xE8536EhXPvk8/jdOlLGmH+4peEHVcI88lTIcsYN62418MnqhDmwzTdNT7yny7u3c3dqxAmAS7XON1w7rEAD3MTv7h2lLh9CWHcPGe6nvJEKZPElc81cq1P24cQSn6ilCmpsJKXuHaU/OWSVlJCSD7j5jXu9bmUvxBplKcQ5sKAMPlyyPe6XPMVJZxXIYyScLGGrQhCWNHvjU8hrOgsksx/UkKYZJ4rWtwVQQgrGtOw/KoQhlFJ0E2FMEG4/49ahTB5xqSgQpg8ZxXC5BmTggphYTinUlEhTKFI7ECFMDG0pSJWISyFI5ETFcJEsJaJVIWwDJJkHVQIk+VL7CqEyTMmBRXC5DmrECbPmBRUCAvDOZWKCmEKRWIHKoSJoS0VsQphKRyJnKgQJoK1TKQqhGWQJOugQpgsX2JXIUyeMSmoECbPWYUwecakoEJYGM6pVFQIUygSO1AhTAxtqYhVCEvhSOREhTARrGUiVSEsgyRZBxXCZPkSuwph8oxJQYUwec4qhMkzJgUVwsJwTqWiQphCkdiBCmFiaEtFrEJYCkciJyqEiWAtE6kKYRkkyTqoECbLl9hVCJNnTAoqhMlzViFMnjEpqBAWhnMqFRXCFIrEDlQIE0NbKmIVwlI4EjlRIUwEa5lIVQjLIEnWQYUwWb7ErkKYPGNSUCFMnrMKYfKMSUGFsDCcU6moEKZQJHagQpgY2lIRqxCWwpHIiQphIljLRKpCWAZJsg4qhMnyJXYVwuQZk4IKYfKcVQiTZ0wKKoSF4ZxKRYUwhSKxAxXCxNCWiliFsBSORE5UCBPBWiZSFcIySJJ1UCFMli+xqxAmz5gUVAiT56xCmDxjUlAhLAznVCoqhCkUiR2oECaGtlTEo0ePNiUlJaZPnz6l3PUkPgH50dpsQijhxI6fcnHGUEYIq1SpYqZOnVqcNApQ6hkzZhgYt2/f3mzfvr0AKRZfEq4Qzps3r/gAFKjEY8aMsUJ41llnFSjF4ktmwYIFlnH9+vXNtm3big9AgUrcsWNHy3nixInYJfakf//+ZsqUKWby5MnWvvPOO43++WFw4YUXWsaNGzc2kyZNUq4J1K3x48ebBg0aWM6DBw9Wxp4Y0ya47UD37t0t49atW5dyd8Pocf7tBryHDRtmGdeuXdvcfvvtytljXXbrM+0x+ldKCOvUqWMbEhoTeiLY+ueHwb777mtHhNWqVVO2nuuVW1erVq1qK/Z+++2nddczZ2kXatWqZety9erVtS4nwBjOdevWtYyZRapXr57W5YQ4017AeMKECaakd+/edr5fbOb+5Y/pDzlW+1suUVnANoxv1Hg0fLR7oPU3Gq909Us4iq112Q9Xl7ewFTcYB93ET21//OE8d+5cU7J06VKjf8pA64DWAa0D5VMHli1bZttgsd37EOYm/pn8JIza2e/p+vXrTYmsS+oOJCGRvC2sxU4+xcqdgsvRPa7cpS6f0inf5Lgr2+TYZos5JYRuQL0hLo1kjpVxMlw1ViWgBJRArgSkHQ4Vwlwj0XBKQAkoASWgBCo6ARXCin4HNf9KQAkoASUQi4AVQoaHMkSMFZterASUgBJQAkqgghEo+eyzzwxfMsCoGFawu6fZVQJKQAkogUgEROc+//xz89JLL5mvv/7alHBwzjnnRIpIAysBJaAElIASqEgERAAlz2+99ZYZMGCA/YxdyVNPPWVatWplvvrqK/FXWwkoASWgBJRApSbAx82PPfZYs3XrVlPyyiuvmGOOOcZ88cUXlbrQWjgloASUgEu6/BgAAAuCSURBVBIobgLuqHD+/PmmTZs25ssvv/zmyzJ8QPfDDz8sbkJaeiWgBJSAEigaAvw83vHHH2/3xpSsW7fOtGzZ0ixevLhoAGhBlYASUAJKoPgIuCPCcePGmb59+1oIJTt27DBt27Y1c+bMKT4qWmIloASUgBIoSgIXXHCBGTFihC27fY+Qr5n/9re/LUoYWmgloASUgBIoLgIMAI877jgza9YsW3ArhLfddpvp0aOHfZ+iuHBoaZWAElACSqDYCKxcudK0aNHCLF++3BbdCuFrr71mjj76aPP+++8XGw8trxJQAkpACRQZgfvuu8+cdNJJ9tUJim6FcPPmzdbx3nvvLTIcWlwloASUgBIoJgK8LsGPHo8aNSr1NTUrhECYOHGi6dKli9m0aVMxMdGyKgEloASUQBERWLhwoTnqqKMMX5YRkxLCVatW2ZcLZ8yYIX5qKwEloASUgBKoNAS2b99uLrnkEnPxxReX+ppaSggp6cMPP2zfKVy0aFGlKbgWRAmUNwH33aV0ecklTLpr1V0JKIFvCWR6lpj57Nixo1m9evW3F8gaobhs2bLFDB8+3Jx66qlmzZo14qy2ElACGQhkevDCLosaPiwOdVMCSiDaLyYx0ONzoo888khqbVAYlhoR4sin1s4991zTs2dP8/bbb0s4tZWAEsiBQCFErhBp5FBUDaIEdisCmZ4LPqfGh2PuuOOO1E5RN/NlhBBP3rEYMmSI6dy5s2GbaaYPcpO4/imDYq8D7kOV7jjTg8o14h+03fjET8Jzrn/KQOvAf+1j4j4fODAFeuONN5pOnTqZyZMnmw0bNriPU+q4JHihAGVqlAtPP/10069fP3P33XebJUuW2N9u2rVrV2iiqVj1QAkoAUsg+Hzli8WNxz3ONz69TglURgL8yC4/Ns9PLN1yyy2mW7du9jcHH3vsMbNx48ZUZzNY9tARoQTiwldffdVMmDDBnH322aZ3796Gz7Fdfvnl5vrrrzejR4+272LwPob+KYNirgM8C2PGjLGdx5kzZ9qP2PO+Uj5GhE5s4uDXtJ955hk7Q8OXoEhPnz995or5mZOy8xyMHDnSDBs2zFx00UVWp3hPcODAgWb69OlmxYoVpXaI8jy5zxbnGYVQLli/fr1ZtmyZmTdvno14ypQp5uabb7bfJ8XWP2VQrHWAXqc8CzyYQ4cONeecc459GM877zxzzz33mI8++ohHKS+zdOlSc9NNN9k1+/79+9ut39dcc40ZO3as7fEWK3ctt7Y51AF5/ngexo8fb583NsW8+OKL5t13302tBwaFL3ieVQjdp3fnzp12apTeKT/fxMYa/VMGWgc+tM/DBx98YNfXWUJ4+umn7cI8MyhnnHGGfTVJlhTcZyrdMWsZPOhdu3Y1gwYNsh3Ql19+2W5ge++998zatWv1GdT2R9tfpw588skndg2QdwWjPGs8g5GEMN1Dq+5KQAl8Q0B6mnQa6TDy9Qp6qizW33rrrbYjmY0V3/xlKYKd20yzsnlt69atZaZzssWj/kpACeRGQIUwN04aSglEJiCiyNLC7Nmzzcknn2xuuOEGg0iKkTByzqiS9Y0BAwaYN998MyfhlGvVVgJKID8CKoT5cdOrlEAkAvz+GdOlHTp0MFOnTg0d3fHx+/PPP9+uMTIKVKMElEBhCKgQFoazplIkBIIjPIotbl999ZVd62vdurV54403yhCZNGmSOeGEE+xvpMk1ZQKpgxJQAt4JqBB6R6oRKoFvxS/Igo9T8PoRO0sRRjHscGvZsqX9xWwVQaGithIoDAEVwsJw1lSUQIoAny7kZ2AWLFiQchsxYoTp3r17xq84pQLrgRJQAl4JqBB6xamRKYH0o0Fhw9cv+CkYRoYYvoTRqlUrw9cv1CgBJVB4AiqEhWeuKVZyAkxtZpvefPbZZ80RRxxhP/v00EMPmfbt2+tosJLXCy3e7ktAhXD3vTeas0pMgLXCdu3amSeeeMIMHjzYfuS+EhdXi6YEdmsCKoS79e3RzFVmAnwXkU+ynXjiiebxxx+vzEXVsimB3ZqACuFufXs0c5WJQHC6lPcJ27RpY5o1a2Y/lVWZyqplUQIViYAKYUW6W5rXCk/AFcOFCxeaOnXq2ClS91WKCl9ILYASqGAEVAgr2A3T7FYeAnwkuGbNmqZHjx5ZN9dUnlJrSZTA7kdAhXD3uyeao0pKwB0NcrxlyxbTqFEj+ypFJS2yFksJVAgCKoQV4jZpJisjAb4/2rx5c3PllVdWxuJpmZRAhSGgQlhhbpVmtLIRQAgPO+wwc+2111a2oml5lECFIqBCWKFul2a2shBgapQNMvxG4ZNPPllZiqXlUAIVkoAKYYW8bZrpykKAz6vxcn0U4641RrlOwyoBJRBOQIUwnIu6KgHvBBCwBx980P5i/YoVK0Lj55foebmekeK4cePMnDlz7GfYQgOroxJQAl4IqBB6waiRKIHMBBDB5557zjRp0sQceOCB9hfr5QoZ4a1evdr+Mj0v2Ddu3Nj+HX744aZfv34mnXBKHGorASWQPwEVwvzZ6ZVKIGcCH3/8sf2U2qGHHmr23HNP88ADD5R6d3Dbtm1WBPfZZx8zaNAgOyqcP3++GT16tKlfv77p1auXnUIV0cw5YQ2oBJRAVgIqhFkRaQAlEI/Azp07zVVXXWUOOeQQc91115k99tjDTpG6sfJrFIhg7969zdq1aw0/1cQfa4jsKq1Ro4aZOXOme4keKwEl4ImACqEnkBqNEkhHAAHbf//97drgrFmzTElJiR0RuuFHjhxp3R999FHX2R4vXrzY1KpVy/Tp08cgqmqUgBLwS0CF0C9PjU0JlCLwzjvvmBYtWtjPqK1fv948/PDDVvBmzJiRCsfIr1u3bva7o+vWrUu5y8GXX35pX7zn5fuNGzeKs9pKQAl4IqBC6AmkRqMEggT4hFqXLl1M06ZNzcqVK623jAhdIeTFejbI8MdaYZg57bTT7KhwzZo11lvXCsMoqZsSyI+ACmF+3PQqJZCVwNixY+1HtRkFMurDIIRVqlQxrhDyysTBBx9sf4UCUcQEha5v3752k43uHrV49J8S8EpAhdArTo1MCXwjYrwqweaXq6++2oi4wSZsRMjI8aCDDjIdO3a0a4BBEeS6/v372ylVplrVKAEl4JeACqFfnhqbErA/stu2bVvTuXPnMmt6c+fOtYI2e/bsFCmmQ3lvsGXLlmmnRs8880xTvXr11BRrmFimItQDJaAEIhFQIYyESwMrgewEhg8fbqpWrWoGDhxo7r///lJ/Q4cOtUI4ZMgQ6/7666+bXbt2mU6dOtn3BTdt2lRqWlQEr127dqZhw4aG9xHVKAEl4JeACqFfnhqbEjBsbEEImRrltYm6deum/mrXrm2FkNchcB8xYoQldtlll9k1wEWLFpUhyLuExNO+fXvDDlI1SkAJ+CWgQuiXp8amBMySJUvM888/X+bvhRdeMGPGjLFCOGrUKOu/atUqS0xeq+BLMkHDV2h495CRpholoAT8E1Ah9M9UYyxyArz0nu7P3SzDzzAxLYrZsGGD6dChgx358QI+Iz92mrLp5sgjjzQHHHCAWbZsWZGT1eIrgWQIqBAmw1VjVQKhBHhtgtHd9OnTS/mzFsgokpfm69WrZ1+lYCqUdUGmRadNm5Z6BaPUhXqiBJRAbAIqhLERagRKIHcCTI/yFRlGekHDCHH58uWGz60RpmvXrvYbpQhkuhftg3HouRJQAtEJqBBGZ6ZXKIG8CTDl+emnn5Z6t1AiY1TIVOnmzZttGMKxi1S/LyqE1FYCyRBQIUyGq8aqBDISkNciMgZSTyWgBApCQIWwIJg1ESUQjYAKZTReGloJxCGgQhiHnl6rBJSAElACFZ6ACmGFv4VagIpGINfRXjBc8LyilVvzqwR2VwIqhLvrndF8FQ0BFbiiudVa0N2UwP8Ak6R7mv24f6AAAAAASUVORK5CYII=[/img][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Draw a tape diagram to represent the story. Noah and his sister are making gift bags for a birthday party. Noah puts 3 pencil erasers in each bag. His sister puts x stickers in each bag. After filling 4 bags, they have used a total of 44 items.
Describe how you would find any unknown amounts in the story/tape diagram above.
Draw a tape diagram to represent the story. Noah’s family also wants to blow up a total of 60 balloons for the party. Yesterday they blew up 24 balloons. Today they want to split the remaining balloons equally between four family members.
Describe how you would find any unknown amounts in the story/tape diagram above.
[size=150]Noah’s family bought some fruit bars to put in the gift bags. They bought one box each of four flavors: apple, strawberry, blueberry, and peach. The boxes all had the same number of bars. Noah wanted to taste the flavors and ate one bar from each box. There were 28 bars left for the gift bags.[/size]
Draw a tape diagram to represent the story above.
Describe how you would find any unknown amounts in the story/tape diagram above.
Design a tiling that uses a repeating pattern consisting of 2 kinds of shapes (e.g., 1 hexagon with 3 triangles forming a triangle).
How many times did you repeat the pattern in your picture?
How many individual shapes did you use?
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Information: IM 7.6.2 Lesson: Reasoning about Contexts with Tape Diagrams