tag:blogger.com,1999:blog-83573483910233152452024-02-22T20:42:06.077+01:00Matematika dinamikoakHezkuntza, MatematikaAlazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.comBlogger93125tag:blogger.com,1999:blog-8357348391023315245.post-60184485062554506022019-12-22T23:53:00.000+01:002019-12-22T23:55:06.310+01:00Desmos Classroom Activities<div>
Momentuz bi bilduma nagusi:</div>
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<li><a href="https://teacher.desmos.com/collection/5def63f2d3b7151b1576470a" target="_blank">Ekuazioak eta Inekuazioak</a></li>
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<li><a href="https://teacher.desmos.com/collection/5cc84878b9c090764efeceb2" target="_blank">Funtzioak</a></li>
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<tr><td class="tr-caption" style="text-align: center;">Inekuazioen adibide bat.</td></tr>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-40883099910466030162018-11-14T12:30:00.003+01:002018-11-14T12:37:57.328+01:00Triangeluen ebazpena on line<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; text-align: justify;"><tbody>
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Edozein motako triangeluen ebazpena lortzeko, gure hiru datu ezagunak idaztea baino ez daukagu <a href="https://triancal.tk/" target="_blank">TrianCal</a> kalkulagailuan.</div>
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Gure eguneroko laneetan hainbat kalkulu egin da gero Sinu eta Kosinuaren Teoremekin, oso ondo datorkigu gure ariketak egiaztetzeko. </div>
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Triangeluaren beste ezaugarri batzuk ere ematen dizkugu: altuerak, perimetroa eta azalera.</div>
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<b>Adibidea:</b> Kalkulatu <b>ABC</b> triangelu honen angeluak eta azalera, <b>a=12,5m, b=10,5m </b>eta <b>c=9m</b> aldeen neurriak direlarik.</div>
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<tr><td class="tr-caption" style="text-align: center;"><a href="https://triancal.tk/" target="_blank">TriCal</a></td></tr>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-58180796338298195542017-02-25T13:49:00.001+01:002017-02-25T19:22:57.520+01:00Biderkadurak 3D-n. Geogebra<b>Biderkadura Eskalarra</b> .<br />
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Espazioan ere frogatu daiteke proiekzioarenkin duen erlazioa.<br />
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<tr><td class="tr-caption" style="text-align: center;"><a href="https://www.geogebra.org/m/eR3w5gJF" target="_blank">Geogebrara</a> joateko</td></tr>
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<b>Biderkadura Bektoriala</b><br />
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Biderkadura bektorealaren modulua bat datorrela paralelogramoaren azalerarekin. eta biderkadura bektorea aurrekoarekin perpendikularra dela, egiaztatu nahi dugu.<br />
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<tr><td class="tr-caption" style="text-align: center;"><a href="https://www.geogebra.org/o/h5SvgNQY" target="_blank">Geogebrara joateko</a></td></tr>
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<b>Biderkadura Nahasia eso mistoa.</b><br />
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Orain biderkadura nahasia bat dator paralelepipedoaren bolumenarekin eta, bestalde batetik, tetraedroak paralelepipedoaren seirena dela, ikusiko dugu.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWwcj6mouNkMmLHVHSdsyD-pDo8H966acAHlAe9l5kIIJcecgV9zU-6hx2XqCO4nbN7X-wIl7nvQQeMZ8YyKtoCrYewvGYSWOC2J-L1lbJo8lJtum7_VAY2E9CEvE8R0oN2QfVl9PqTegF/s1600/nahasia.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWwcj6mouNkMmLHVHSdsyD-pDo8H966acAHlAe9l5kIIJcecgV9zU-6hx2XqCO4nbN7X-wIl7nvQQeMZ8YyKtoCrYewvGYSWOC2J-L1lbJo8lJtum7_VAY2E9CEvE8R0oN2QfVl9PqTegF/s400/nahasia.jpg" width="400" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><a href="https://www.geogebra.org/m/PhtRtQnX" target="_blank">Geogebrara joateko</a></td></tr>
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Aurreko dena <a href="https://www.geogebra.org/m/ZEyUFwEk" target="_blank">3D Liburua Geogebran</a> aurki dezakezu.<br />
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-34794066229713812492016-02-27T19:48:00.004+01:002016-02-27T19:49:23.158+01:00Geogebra Site-anOraingoan nola txertatu Geogebrako lana Google Site batean ikusiko dugu.<br />
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Lehenengo gauza Geogebrak ematen digun kode berezia Sitetarako kopiatu behar dugu. Horretarako jarraitu hurrengo pausu hauek.</div>
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Gure lanera joan eta han aukeratu partekatzeko ikurra, gero ondoko irudiak adierazten duten pausuak jarraitu.</div>
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Kodea kopiatu ondoren, gure siteko orria editatzera joango gara eta oraingoan emango ditugun pausuak hauek dira:<br />
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Hurrengo helbide honetan nahi duzuen beste Geogebra dituzue site batean txertaturik:</div>
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<a href="https://sites.google.com/a/arrigorriagabhi.net/matematika-geogebrarekin/" target="_blank">Matematika Geogebrarekin</a></div>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-28116000843755969532015-12-27T12:03:00.003+01:002015-12-27T12:16:41.989+01:00g(Math) osagarria Driven.Hemen daukazue osagarri berri bat matematikako adierazpenak, grafikak, estatistika eta eskuz idatzitakoa zuen dokumentuetan eta galdetegietan txertatzeko era erraz eta txukunean.<br />
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Osagarri hau norberak instalatu behar du behin, eta gero dokumentu guztietan erabiltzeko aukera izango du. <a href="https://www.youtube.com/playlist?list=PLto2no0G6EAwH1z9Br39pqmqNiS38VKmP" target="_blank">Bideo labur hauek lagungarriak egingo zaizkizu.</a><br />
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<a href="http://www.gmath.guru/" target="_blank">Laguntzaren helbidea</a></div>
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<ul>
<li> <b>Adierazpen matematikoak sortu</b><span style="font-family: Arial; font-size: 14.6667px; text-align: center; white-space: pre-wrap;"> </span></li>
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<span style="color: black; font-family: Arial; font-size: 14.6667px; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: black; font-family: Arial; font-size: 14.6667px; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><a href="http://chart.googleapis.com/chart?cht=tx&chl=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D" style="text-decoration: none;"><img height="44px;" src="https://lh6.googleusercontent.com/Q0dHlzsMuf41z5RnIALrHglV-dj2O7ZQkyrtI8mnFiO2_K-0g2dZfIYd5y90Ry2UkPZ3EHc3nOEfRuGQEovsZW8pTwmSjcHH2HTmkoCTnem8-tcMoGNlJ3tunVOrLiVRER0OSOf5" style="border: none; transform: rotate(0rad);" width="131px;" /></a></span></div>
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Goian agertzen direnak bezalako adierazpenak sor daitezke, irudi gisa txertatzen direnak. Adierazpen hauek idazteko <b><a href="https://es.wikipedia.org/wiki/LaTeX" target="_blank">LaTex </a></b>idazkera erabiliko dugu. Hizkuntza hau jakin ez arren konpondu egin gaitezke hainbat adierazpen aldez aurretik eraikita eskaitzen digutelako. Idatzi eta ikusi egin daitezke "preview" erabiliz; gero "insert"en klikatuz, gure testuan txerta daitezke.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCD1eKEScKFpdPIQ-jw3OzOugTJ3N3PnxK0AhiGWaKDjNM704LNmM7NFcLGY7VlFvJQvRo1wHbfFg5mAxvEvOcg1CsaUsIW_o6eQMBk5gvDT32N-yagH_uRRJmsKGrH2ZtPMcfBiCGH5c/s1600/math+expres.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCD1eKEScKFpdPIQ-jw3OzOugTJ3N3PnxK0AhiGWaKDjNM704LNmM7NFcLGY7VlFvJQvRo1wHbfFg5mAxvEvOcg1CsaUsIW_o6eQMBk5gvDT32N-yagH_uRRJmsKGrH2ZtPMcfBiCGH5c/s1600/math+expres.jpg" /></a></div>
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<ul>
<li><b>Grafikoak sortu</b></li>
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<span id="docs-internal-guid-1a4350c0-c6a0-1f75-57f6-44c5a882d938"><span style="color: black; font-family: Arial; font-size: 14.6667px; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><a href="https://www.wolframcloud.com/objects/b27563f9-d702-412b-a9a1-f8c1c6cc84ea?f=%7BPiecewise%5B%7B%7Bx%2B3%2Cx%3C%3D-2%7D%2C%7Bx%5E2%2B1%2Cx%3E-2%7D%7D%5D%2CSin%5Bx%5D%7D&&xmin=-10&&xmax=10&&xstep=1&&ymin=-10&&ymax=10&&ystep=1&&pointList=%7B%7D&&showYAxis=True&&showPlotLegends=Expressions&&showAxesArrows=Yes&&changePointsToCrosses=No&&xGridLines=Table%5Bi%2C%7Bi%2C-10%2C10%2C1%7D%5D&&yGridLines=Table%5Bi%2C%7Bi%2C-10%2C10%2C1%7D%5D&&inequalities=%7B%7D" style="text-decoration: none;"><img height="277px;" src="https://lh5.googleusercontent.com/ytjQPLYSbf6juX4g7YxqG8VVqEfFvLfNCAYPPAaBACjFxXTH36uPMZI-Jy-Q1xpDssnlMY8AA8-OiL6oh93dRGc_DkSzdyzlCR5Q86bRK8fCyCnWkQS_ufqZ9zCI7Nr40A12o4Oa" style="border: none; transform: rotate(0rad);" width="360px;" /></a></span></span></div>
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Grafikoak irudikatzeko aukera asko ematen dizkigu, besteak beste honako hauek:</div>
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<br /></div>
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- Funtzio bat baino gehiago irudikatzen dugunean zenbait koloretan agertzen dira.</div>
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- Ardatza gezietan amaitu ala ez.</div>
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- Unitateen tamaima aldatu egin dezakegu, eta unitateak radianetan jarri, <span style="color: black; font-family: Arial; font-size: 14.6667px; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><a href="http://chart.googleapis.com/chart?cht=tx&chl=%5Cpi" style="text-decoration: none;"><img height="9px;" src="https://lh5.googleusercontent.com/PzTxJ1Fvswajg8Yz43i7SKMkHPuGkZC8h_PTbT5Bp6zmPQVRmMDPX5Hp4P1dXWAxSdcoOBRxPhAz-ngf3lNz_AJZOthQ9PNyop-0Z2OY21t4guc1o_-54Ddu098WYC_0KghLiqIu" style="border: none; transform: rotate(0rad);" width="11px;" /></a> erabiliz.</span></div>
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<span style="color: black; font-family: Arial; font-size: 14.6667px; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> - </span><span style="font-family: Times, Times New Roman, serif;"><span style="color: black; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Azpian funtzioen adierazpenak agertzea ala ez, </span><span style="white-space: pre-wrap;">aukeran daukagu</span><span style="white-space: pre-wrap;">.</span></span></div>
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<span style="color: black; font-family: Arial; font-size: 14.6667px; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><br /></span></div>
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<ul>
<li><span style="font-family: Arial;"><span style="font-size: 14.6667px; white-space: pre-wrap;"><b>Banaketa estatistikoak sortu.</b></span></span></li>
</ul>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQ5K2R744ce9wRz3KwF1xeRetTYwmniwKsXX0O70jFKfgVb8oTVm8esGYhnurqarCOAGPMAjvvnilLXpJqMB39JlaTDU-VC3T35BQbVxjbyCT8J_L3huNARooEW3q5QKsbdJWoC8r0Thg/s1600/stat.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQ5K2R744ce9wRz3KwF1xeRetTYwmniwKsXX0O70jFKfgVb8oTVm8esGYhnurqarCOAGPMAjvvnilLXpJqMB39JlaTDU-VC3T35BQbVxjbyCT8J_L3huNARooEW3q5QKsbdJWoC8r0Thg/s1600/stat.jpg" /></a></div>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><img height="212" src="https://lh5.googleusercontent.com/ob4kLF07yNVmXcjw3vY3_mYG4hngSs-sMroVSD44HNzlOT_6pwN60odFdMFhg12NhCzC89E1YCMpny-WhY9eOmYz2-llntxgIqeKQ9K9X9gn3lN2jMmSPrfChpPVgOpf2nSZcNok" style="border: none; margin-left: auto; margin-right: auto; transform: rotate(0rad);" width="320" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Bar Chart</td></tr>
</tbody></table>
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<span id="docs-internal-guid-1a4350c0-e307-01eb-b577-3dd3c0749677"><a href="https://www.wolframcloud.com/objects/d260c2d1-97c7-4e9d-a1a6-017a226e2d2e?data=%7B2%2C2%2C3%2C4%2C5%2C5%2C5%2C6%2C7%2C7%7D&&plotLabel=Adibidea" style="text-decoration: none;"><span style="color: black; font-family: Arial; font-size: 14.6667px; vertical-align: baseline; white-space: pre-wrap;"></span></a></span></div>
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<ul>
<li><span style="font-family: Arial;"><span style="font-size: 14.6667px; white-space: pre-wrap;"><b>Eskuz idatzitakoa ere txerta daiteke.</b></span></span></li>
</ul>
<div style="text-align: center;">
<span id="docs-internal-guid-1a4350c0-e30e-abca-0f99-c5ecfe97b2f9"><a href="about:blank" style="text-decoration: none;"><span style="color: black; font-family: Arial; font-size: 14.6667px; vertical-align: baseline; white-space: pre-wrap;"><img height="150" src="https://lh5.googleusercontent.com/4EWFFUCniGf-9X61VvQh2cnWWOKYUsWMfnqvtwtrGFSBr_0kNJQZJfiSc-BD4ZDlszW0NxzhPd9rppsy_HfphsN2nD_6zYmdZONpfmig-zBKw1XmAS4-h95zEUv9Nek3_1ht7-OJ" style="border: none; transform: rotate(0rad);" width="200" /></span></a></span></div>
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<span style="font-family: Arial; font-size: 14.6667px; white-space: pre-wrap;"> </span></div>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-79069206645397385602015-03-17T09:12:00.002+01:002015-03-17T09:14:49.392+01:00Paralepipedoa, sei tetraedroHemen daukagun bideo honetan Manuel Sadak egindako frograpen grafikoa, Geogebra erabiliz, da. Bertan erraz ikusi dezakegu paralepipedoa nola osatu daikete 6 tetraedroderekin.<br />
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<iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/iC47ViAeHeg" width="420"></iframe><br />
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-60133901917480970722014-07-03T18:41:00.002+02:002014-07-03T18:59:13.803+02:00Filmen osteko matematika - Tony DeRoseAzpiko bideoak, sarritan gure klaseetan egiten diguten galderari, "zertarako balio duen matematika"-ri erantzuna ematen dio.<br />
<br />
Horretaz gain bi puntuen erdiko puntua, nola lortzen den eta bere erabilera garrantzitsu bat ere erakusten digute. Bideoa ingelesez dago eta azpitituluak gaztelaniaz, Pixar Animaszio Estudioaren lanean <a href="http://graphics.pixar.com/people/derose/" target="_blank">Tony DeRosek</a> berain lana azaltzen digu.<br />
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<iframe allowfullscreen="" frameborder="0" height="360" src="//www.youtube.com/embed/_IZMVMf4NQ0" width="640"></iframe><br />
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Iturria: <a href="http://ed.ted.com/lessons/pixar-the-math-behind-the-movies-tony-derose" target="_blank">TEDed</a>Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-54491176859785349072014-07-02T19:01:00.000+02:002014-07-03T19:14:36.551+02:00PizzaHau da "pizza" baten bolumenaren formula, bakarrik gogoratu behar dugu bere altuera "<b>a" </b>dela eta bere erradioa "<b>z".</b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSMy-S0jPxx6gDjW4DJwevKEX-1KRKpboMEtI8UMN4xk_koPVSAK1CGmnNA1-LRgEnOWj6c4r_W_JgfOU11IB4J00Y_WeHM82nWWhCO-i3g1UdJ8cs5SClf3ruRvIgOMoWtMPDYF0JcnI/s1600/pizza.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSMy-S0jPxx6gDjW4DJwevKEX-1KRKpboMEtI8UMN4xk_koPVSAK1CGmnNA1-LRgEnOWj6c4r_W_JgfOU11IB4J00Y_WeHM82nWWhCO-i3g1UdJ8cs5SClf3ruRvIgOMoWtMPDYF0JcnI/s1600/pizza.jpg" height="265" width="400" /></a></div>
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Iturria: <a href="https://twitter.com/alaznez/status/484601069046345728" target="_blank">Twitter</a></div>
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<b><br /></b>Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-48073232702769209542014-03-05T13:20:00.001+01:002014-03-05T13:27:43.570+01:00Sierpinskiren triangeluaInstitutuko lehioetan agertzen diren irudi horiek, <a href="http://es.wikipedia.org/wiki/Tri%C3%A1ngulo_de_Sierpinski" target="_blank">Sierpinskiren Triangeluak </a>dira. Lan hau 3. dbhko ikasleekin egindakoa da, segiden gaia lantzeako.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbuAOMW9SKlieMiGRXllKtWM36h8G80vlIldnR9kKGjBkDxNkhJzfH5hw_a6jIDHiqFepLtOy7iZLipye7I6u8aIQVgKnejTv1_0bNQVxHEoZ52icqXpoFeTiBVli4PCo6hV6sgtxkhcs/s1600/IMG_20140205_111419.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbuAOMW9SKlieMiGRXllKtWM36h8G80vlIldnR9kKGjBkDxNkhJzfH5hw_a6jIDHiqFepLtOy7iZLipye7I6u8aIQVgKnejTv1_0bNQVxHEoZ52icqXpoFeTiBVli4PCo6hV6sgtxkhcs/s1600/IMG_20140205_111419.png" height="400" width="300" /></a></div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXTu5KWV0mEhxZD4xlNCVNDxv3OkSh0uwH1jVi67MI_MTXBQ536bndQDmfl0EQ0_lLYGZy35VO8Ut71OvMTBT9bbwDHtgN1ZkupnO9nX56gSO9rJfTiDdNCnItj5eb3Onx7dN9vUjeQtU/s1600/2014-03-05_12-50-24.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXTu5KWV0mEhxZD4xlNCVNDxv3OkSh0uwH1jVi67MI_MTXBQ536bndQDmfl0EQ0_lLYGZy35VO8Ut71OvMTBT9bbwDHtgN1ZkupnO9nX56gSO9rJfTiDdNCnItj5eb3Onx7dN9vUjeQtU/s1600/2014-03-05_12-50-24.jpg" height="363" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><a href="https://plus.google.com/u/0/photos/100008901422269024063/albums/5987267949205534801" target="_blank">Klikatu hemen bilduma osoa ikusi nahi baduzu.</a></td></tr>
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Eta honetaz egindako lanan hemen duzue: <a href="https://docs.google.com/document/d/1ajySfmdagC54jQ1hdaC26nPiaFD51EUHRmkUXGIW7XM/edit?usp=sharing">https://docs.google.com/document/d/1ajySfmdagC54jQ1hdaC26nPiaFD51EUHRmkUXGIW7XM/edit?usp=sharing</a></div>
<br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-49289013427288945012014-03-03T20:39:00.001+01:002014-03-03T20:48:31.177+01:00Apolonioren konoa<br />
Apolonioren konoa nola egiten den, leku geometrikoen eta literaturaren arteko erlazioak, Hipatia, Agora eta hainbat gauza interesgarri agertzen dira hurrengo bideoan.<br />
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<iframe allowfullscreen="" frameborder="0" height="360" src="//www.youtube.com/embed/v5beY-TNpBU" width="640"></iframe>Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-30545107572128945432014-01-02T20:13:00.001+01:002014-02-26T13:18:34.848+01:002. mailako ekuazioak eta Mozart.Denok ezagutzen ditugu <a href="http://eu.wikipedia.org/wiki/Bigarren_mailako_ekuazio" target="_blank">2. mailako ekuazioa</a><br />
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<a href="http://upload.wikimedia.org/math/8/1/c/81c4f5af651fa3d8319e35df8c2a04e5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="http://upload.wikimedia.org/math/8/1/c/81c4f5af651fa3d8319e35df8c2a04e5.png" /></a></div>
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ebazteko erabiltzen ditun formulak:<br />
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<a href="http://upload.wikimedia.org/math/6/c/1/6c1f0e96063e9151a383a275efd450b5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://upload.wikimedia.org/math/6/c/1/6c1f0e96063e9151a383a275efd450b5.png" /></a> ; <a href="http://upload.wikimedia.org/math/6/5/e/65e784dbc22d698f8fd43fd3556764c6.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="http://upload.wikimedia.org/math/6/5/e/65e784dbc22d698f8fd43fd3556764c6.png" /></a></div>
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Baina nondik atereatzen diren ez da hain ezaguna, hona hemen formularen frogapena, era eder batean.</div>
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<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='640' height='532' src='https://www.youtube.com/embed/K5t4GK5-DEw?feature=player_embedded' frameborder='0'></iframe></div>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-74723548400716319122013-12-30T10:30:00.000+01:002013-12-30T10:30:52.922+01:00Laranja piramideaFruta saltzaile bati 20 kaxa laranja heldu zaizkio: 7 goi kalitatekoak dira, eta 13 kalitate txikiagokoak. Eroslei erakusteko, oinarri karratuko piramide batean antolatu nahi ditu, oinarriko alde bakoitzean 12 laranja jarrita, eta eta bistan geratuko direnak goi kalitatekoak izanik.<br />
Kaxa bakoitzean 40 laranja jarrita badaude, izango du egun nahi duena egiteko laranja nahikorik?<br />
<i>(Anaya 3. DBH matematika liuburutik hartuta).</i><br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://www.perrotin.com/cn/Peter_Coffin-works-oeuvres-12594-37.html" style="margin-left: auto; margin-right: auto;" target="_blank"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8p0wvrZdYldksKsH-w1C6M49hKXum0lKTjCCWXGWI7KVv-BLGYrF-ZNFn2bzjhrkAqViacbHIyJtlTtLCOg9A3nSjC7DwhOZoKugGJ5YSstMnAXflk2lHblJfoqUYrMiRMDyThxvFg_k/s400/laranjak.jpg" width="355" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><a href="http://www.perrotin.com/cn/Peter_Coffin-works-oeuvres-12594-37.html">http://www.perrotin.com/cn/Peter_Coffin-works-oeuvres-12594-37.html</a></td></tr>
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<br /><br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-56512604738760560302013-10-12T17:11:00.000+02:002013-10-12T17:12:30.820+02:00Geogebra DrivenNola gorde zuen Geogebra lanak zuen Google Drivean azalduko dizuet hemen.<br />
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1.- Bilatu zuen <a href="https://chrome.google.com/webstore/category/apps?hl=es" target="_blank">Chrome web storen</a> Geogebra eta instalatu zuen aplikazio artean.<br />
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2. Geogebra aplikazioa zabaltzen duzunean logeatu behar gara, <span style="font-size: x-small;"><b>izenabizena@arrigorriagabhi.net</b></span><br />
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3. Egin zure ariketa.<br />
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4. Gorde -> file->"saves us".<br />
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gero lanari izana eta deskribapena ezarri.</div>
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5. Joan zure Drivera eta han aurkituko duzu.</div>
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6. Geggebra fitxategi gainean eskumako botoia klikatuz zure lana partekatzeko, zabaltzeko ... eta abarreko aukerak izango dituzu.</div>
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<br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-65048807281506811762013-07-15T13:18:00.000+02:002013-12-30T10:31:40.891+01:00Beauty of math<br />
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Hona hemen Geogebrarekin egindako bideo zoragarri hau.<br />
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<iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/iZ87uJxv1_4" width="560"></iframe>Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-18841047180492748402013-05-23T18:27:00.001+02:002013-05-23T18:53:01.719+02:00Bolumenak eta azalerak Hemen dituzun hiru ontziak egiteko zenbat metal behar duzu? Zeinetan sartu genezake ur kantitate gehiago?<br />
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Zenbat barkilo eta zenbat izozki duzu?<br />
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Irudien jatorriak:</div>
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<span style="font-size: x-small;"><a href="http://www.blogger.com/goog_826930058">http://www.reis-reis.com/images/Baldes%20cilindricos.jpg</a></span></div>
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<span style="font-size: x-small;"><a href="http://www.blogger.com/goog_826930058">http://www.reis-reis.com/images/Balde%20conico.jpg</a></span></div>
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<span style="font-size: x-small;"><a href="http://nbg-web01.opitec.com/img/573/851/573851-01a01-x.jpg">http://nbg-web01.opitec.com/img/573/851/573851-01a01-x.jpg</a></span></div>
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<br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-31593884058817963382013-05-18T12:13:00.002+02:002013-05-18T12:13:59.410+02:00Zirkuluaren azaleraBideo honetan zirkuluaren azalera kalkulatzeko beste era bat ikusiko dugu.<br />
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<br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-64110664398969335522013-04-28T12:20:00.000+02:002013-04-28T12:20:23.839+02:00hippo = hippopotenuse<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnr6xl3HSmJZe8asj6gxVa424FW37sy-QE4TagG2zXxERAuV9dxRmpySb8AiaFZTNyr1GAMn-z67CJUelzRproU3uGNTknZCBmJ_GYF9efyeulh_th62c0Ybd2qQZGlIKCtb8QvkJA15w/s1600/I-put-the-hippo-in-hippopotenuse.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="238" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnr6xl3HSmJZe8asj6gxVa424FW37sy-QE4TagG2zXxERAuV9dxRmpySb8AiaFZTNyr1GAMn-z67CJUelzRproU3uGNTknZCBmJ_GYF9efyeulh_th62c0Ybd2qQZGlIKCtb8QvkJA15w/s320/I-put-the-hippo-in-hippopotenuse.png" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><a href="http://math-fail.com/2013/04/i-put-the-hippo-in-hippopotenuse.html" target="_blank">Irudiaren jatorria</a></td></tr>
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<br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-11107088511071636422013-03-18T18:48:00.000+01:002013-03-18T18:53:11.251+01:00Segidak kalkulu orrian<br />
Hona hemen ikaslei proposatutako lana: <a href="https://docs.google.com/document/d/1MOV0RUyrDMbeVDfmwbf2QCc25S1lHE59dZ98VTT2Mlc/edit?usp=sharing" target="_blank">Segidak kakulu orrian</a>.<br />
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<a href="https://docs.google.com/spreadsheet/ccc?key=0Akn1Uub3iPNUdExqcGt6UnZBWjlhaHBkZWo4eWhOWlE&usp=sharing" target="_blank">Lanaren emaitza</a>.<br />
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<iframe frameborder="0.2" height="980" src="https://docs.google.com/spreadsheet/pub?key=0Akn1Uub3iPNUdExqcGt6UnZBWjlhaHBkZWo4eWhOWlE&output=html&widget=true" width="620"></iframe>
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Grafikoak</div>
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<br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-84026953462596615422013-03-05T18:40:00.003+01:002013-03-05T22:45:10.512+01:00Matematika Departamentuaren lanen glosterraHemen duzue gure ikt arduradunaren laguntzekin (<a href="http://juancarikt.blogspot.com.es/" target="_blank">@Juancarikt</a>) osatu dugun glosterra. Bertan gure Matematika Departamentuan aurrera eraman dutigun hainbat lan aurkituko dituzue, besteak beste blogak eta siteak. Ikusteko irudi bakoitzean klikatzea baino ez duzue.<br />
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<iframe frameborder="0" height="758" marginheight="0" marginwidth="0" scrolling="no" src="http://edu.glogengine.com/view/3A5p7V3rDPFLbPgXUhZP:6l0u20f1njv8lld1oe7qka0" style="overflow: hidden;" width="560"></iframe></div>
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<a href="https://dl.dropbox.com/u/5363147/glogster%20mate.pdf" target="_blank">pdf-an</a></div>
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Nire departamentukidei, <a href="http://lavirto.blogspot.com.es/" target="_blank">Manuela Virto</a> eta <a href="http://eberrixa.blogspot.com.es/" target="_blank">Alex Aginagalde</a>, eta gure ikasle guztiei ere eskerrak eman behar dizkiet lan guzti hauek partekatzegatik.</div>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-57322130708404338272013-02-25T20:26:00.000+01:002013-02-26T19:30:37.146+01:00Buruketak (Mate II) hautaprobatarako bloga.Mate II hautaprobatarako buruketen bloga, <a href="http://buruketakmate2.blogspot.com.es/" target="_blank">Buruketak (Mate II)</a>, kurtsoan zehar ikasleek sortutako bloga da.<br />
Sarrera bakoitza buruketaren enuntziatua, irudia eta erantzuna osatzen dute. Erantzunak eruzkinetan handik egun batzutara argitaratuko dira, ikasle berak eta beste batek.<br />
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Buruketa gehienak, orain arte, aurreko urteetan agertutakoak dira.<br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifa1e8W1zUNrtRN5uw449Zp91647cygr1BuU69ryqClJfiMQHTkmlhajmv1ZHBMPcrRuAKVOVHtOgKX7-anznTAAV7bCQKRPeB08jxTCN8sGX5E4ojSQmkflmBKVwfynxjcFfy9CA-Ojg/s1600/buruketak.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifa1e8W1zUNrtRN5uw449Zp91647cygr1BuU69ryqClJfiMQHTkmlhajmv1ZHBMPcrRuAKVOVHtOgKX7-anznTAAV7bCQKRPeB08jxTCN8sGX5E4ojSQmkflmBKVwfynxjcFfy9CA-Ojg/s320/buruketak.png" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><a href="http://buruketakmate2.blogspot.com.es/" style="font-size: medium; text-align: start;" target="_blank">Buruketak (Mate II)</a><span style="font-size: small; text-align: start;">,</span></td></tr>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-37158793330381483992013-02-25T19:58:00.000+01:002013-02-25T19:58:01.478+01:00Sistemen ebazpena Wirisekin. EreduaZuetariko bakoitzak zuen <a href="https://drive.google.com/?usp=chrome_app" target="_blank">Google Drive</a>n sotu dokumentu bat eta irakaslearekin konpartitu.<br />
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Hona hemen eskatzen zaizuen lanaren eredu bat.</div>
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<iframe height="425" src="https://docs.google.com/document/d/1CSr8WrbwNfYAUtsxOXT9bSE55Zx4lk3pkVPxeORJMwg/pub?embedded=true" width="650="></iframe></div>
Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-89782368699620982662013-02-17T20:06:00.003+01:002013-02-17T20:15:16.333+01:00Irudi geometrikoen blogakGure inguruan ditugun gauzen artean hainbat irudi geometrikoa aurkituko dituzue, eta hauek, izango dira aztergai zuen blogetan.<br />
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Hemen helbideak zuzenean joateko zuen blogetara:<br />
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<a href="http://irudigeometrikoak3b.blogspot.com.es/">http://irudigeometrikoak3b.blogspot.com.es/</a> eta <a href="http://irudigeometrikoak3d.blogspot.com.es/">http://irudigeometrikoak3d.blogspot.com.es/</a><br />
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Honetarako pauso hauek jarraitu beharko dituzue:<br />
<b>1.Zatian</b><br />
1. Onartu blogean sartzeko zure korreoan aurkituko duzun gonbidapena.<br />
2. Aurkitu zure inguruan aztergai den objektua atera argazkia eta neurtu.<br />
3. Deskargatu zure ordenagailura gero zure sarreran txertatzeko.<br />
4. Idatzi izenburua eta bere neurriak eta etiketan zein irudi geometrikoa den.<br />
5. Jarri dituzunen artean gorputzeren bat egongo da .<br />
6. Zure kidei iruzkinak edo komentarioak eginez, lagundu beraien sarrerak hobetzen.<br />
<b> 2. Zatia </b><br />
7. Berriz editatu zure sarrera eta kalkulatu irudi horien perimetroak, azalerak, gain azalerak eta bolumenak.
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<br />Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-17306281908126975672013-01-27T21:55:00.001+01:002013-01-27T21:59:43.014+01:00Konikak irudikatzen.<div style="text-align: center;">
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Iturria: <a href="http://www.youtube.com/playlist?list=PL6534E936D46257BF" target="_blank">Mathematical devices</a></div>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-79524639272229252082013-01-27T21:46:00.003+01:002013-01-27T21:46:26.679+01:00Elipseak irudikatzen<div style="text-align: center;">
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0tag:blogger.com,1999:blog-8357348391023315245.post-447234922801405822012-12-15T12:10:00.003+01:002012-12-15T12:20:53.090+01:00Desmos eta F. trigonometrikoak<a href="https://www.desmos.com/calculator" target="_blank"> Desmos</a> kalkulagailua oso egokia da funtzio trigonometriko desberdinak gonbaratzeko.<br />
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Lehengo eta behin ardatzak egokituko behar ditugu. X ardatza, absizak, radianetan jarriko ditugu baina ez Y ardatza, ordenatuena, horretarako jo aukereetara eta beheko irudietan agertzen diren balioak edo antzekoak erabili.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtNBcZF9ulxOEZfIxc3JBkrIOUsNXbufPyz-gURNeSP2iZU_8HkmXiFV-1vSaQNWTr8KRHXYqfhvq_HVWPRTnY_6DNvb4_oCnY1S-77Ylv50UhUb9jARh91i8FxdqCh85Zg6L_qXNMMtM/s1600/radianak2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtNBcZF9ulxOEZfIxc3JBkrIOUsNXbufPyz-gURNeSP2iZU_8HkmXiFV-1vSaQNWTr8KRHXYqfhvq_HVWPRTnY_6DNvb4_oCnY1S-77Ylv50UhUb9jARh91i8FxdqCh85Zg6L_qXNMMtM/s400/radianak2.png" width="203" /></a></div>
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Gero idatzi hiru funtzioak :</div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtFLM3QmPdzEwT-GAOrcmCUcFOksCusYuEFnJTD94Dt7R-XIo1RmNibfy8JrXpzUbzng4nEfSEr4N_ULlXciocP8Zy1helrMxVjBqFwsIFN2FdKD7jlwaoK8zOStUTTN4ceq0-olEiDDo/s1600/radianak3.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="161" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtFLM3QmPdzEwT-GAOrcmCUcFOksCusYuEFnJTD94Dt7R-XIo1RmNibfy8JrXpzUbzng4nEfSEr4N_ULlXciocP8Zy1helrMxVjBqFwsIFN2FdKD7jlwaoK8zOStUTTN4ceq0-olEiDDo/s640/radianak3.png" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><a href="https://www.desmos.com/calculator/b5z5xhtpzs" target="_blank">grafikora</a></td></tr>
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Parametro desberdinak duten eragina adierazteko iristagailuak erabiliko ditugu. Egiaztatzeko jo irudiaren azpian agertzen den loturara eta han aldatu hauen balioak.</div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRi9DTa5rokR0FCX8KRVZN2CdZA8sFuejtNsKTjhwylamJZyqIdCLxn2hEZwsiYHiNQ9Vm6ysojv-zvepVLdZh6re1lhnmbiPZFeYu2dCc4TZuoiauw6I2fqOphX4RoV_aM5UFUBVKn1Q/s1600/radianak4.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRi9DTa5rokR0FCX8KRVZN2CdZA8sFuejtNsKTjhwylamJZyqIdCLxn2hEZwsiYHiNQ9Vm6ysojv-zvepVLdZh6re1lhnmbiPZFeYu2dCc4TZuoiauw6I2fqOphX4RoV_aM5UFUBVKn1Q/s320/radianak4.png" width="274" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><a href="https://www.desmos.com/calculator/7mfeluygmu" target="_blank">desmos aplikazio interaktibora</a></td></tr>
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Aurrekoa ikusita gero ahalegindu zaitez hurrengo galdeeri erantzuna ematen.</div>
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<ul>
<li>Zer gertatzen da <b>a </b>aldatuz? eta b?....</li>
<li>Zein parametro aldatu behar duzu translazio bertikala lortzeko? eta horizontala?</li>
<li>Ze balio hartzen du parametroak grafikoa eskumarantz desplazatzeko?</li>
<li>Nola handitzenda <b>anplitudea</b>? Eta <b>periodoa</b>?</li>
<li> ....</li>
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Alazne Zarate G.http://www.blogger.com/profile/15063061797602764976noreply@blogger.com0