Thema: Flächeninhalt eines Dreiecks[br]Klassenstufe: 6[br]Dauer: 20-25 Minuten[br]Besondere Materialien: Papier und Schere (Schüler), GeoGebra (Lehrkraft)

Die Schüler wissen bereits, wie sie ...[br]... die Länge einer Strecke mit dem Lineal oder Geodreieck abmessen können[br]... ein Lot fällen bzw. die Höhe eines Dreiecks einzeichnen können[br]... den Flächeninhalt eines Rechtecks mithilfe gegebener Seitenlängen bestimmen können[br]... den Flächeninhalt eines Rechtecks durch Abzählen von Kästchen bestimmen können[br]... den Flächeninhalt eines allgemeinen Parallelogramms bestimmen können.

Ziel der Stunde ist es, dass die Schülerinnen und Schüler ... [br]... den Flächeninhalt eines Dreiecks auf ein allgemeines Parallelogramm oder Rechteck zurückführen können[br]... den Flächeninhalt eines Dreiecks rechnerisch bestimmen können

Teil 1: Die Schüler probieren selbst aus, den Flächeninhalt zu bestimmen.[br]Teil 2: Tafelbild (bzw Visualisierung mit GeoGebra durch Lehrkraft)[br]Teil 3: Konkrete Formel

In der Stunde wird das sogenannte EIS-Prinzip nach Jerome Bruner verwendet. EIS steht dabei für die Begriffe Enaktiv, Ikonisch und Symbolisch.[br]Enaktiv ist die eigene Handlung der Schülerinnen und Schüler, durch die sie etwas selbst herausfinden und begreifen können.[br]Ikonisch ist die bildliche Darstellung, die im vorgestellten Unterrichtsentwurf insbesondere die enaktive Phase sichern soll.[br]Symbolisch ist das mathematische Aufschreiben einer konkreten Formel.

Im ersten Teil des Unterrichts sollen die Schülerinnen und Schüler selbst versuchen, den Flächeninhalt von Dreiecken zu bestimmen. Dazu bekommen die Kinder unterschiedliche Materialien und Hilfestellungen zur Verfügung. Die Klasse kann in unterschiedliche Gruppen aufgeteilt werden.[br][br]Gruppe 1 erhält Einheitsquadrate, die sie aus- bzw. zerschneiden und in ein Dreieck legen sollen. Diese können sie abzählen. In einem zweiten Schritt sollen sie versuchen, die verwendeten Einheitsquadrate zu einem Rechteck zusammen zu legen. So können sie den Flächeninhalt eines Dreiecks auf den eines Rechtecks zurückführen.[br][img]data:image/png;base64,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[/img][br][br]Gruppe 2 soll ein Dreieck auf ein Stück Papier aufzeichnen und dieses ausschneiden. Nun können sie selbst versuchen, dieses Dreieck auf ein Parallelogramm mit gleichem Flächeninhalt zurückzuführen. Dafür sollten sie die Höhe einzeichnen, die Spitze umklappen, abschneiden und an eine der anderen Seiten dranlegen. So sehen die Schüler den Zusammenhang zwischen dem Dreieck und dem (allgemeinen) Parallelogramm.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZgAAADGCAYAAADvyJZmAAAgAElEQVR4Xu2dCXhOVxrHDxotBkHthIhgLLHvtcbWCTNmSi2tblqdKjq2UssYnTGWmqI1tKZjGFpVS82QodY0ooxd7EuC2KklKCXC5P927n1SRb4v+e7+f58nz2Tk3nPe93dOv/937znnfbPdSzNFIwESIAESIIEAE8hGgQkwUTZHAiRAAiQgBCgwnAgkQAIkQAKGEKDAGIKVjZIACZAACVBgOAdIgARIgAQMIUCBMQQrGyUBEiABEqDAcA6QAAmQAAkYQoACYwhWNkoCJEACJECB4RwgARIgARIwhAAFxhCsbJQESIAESIACwzlAAiRAAiRgCAEKjCFY2SgJkAAJkAAFhnOABEiABEjAEAIUGEOwWtPokiVL1N69e6XzKlWqqI4dO1rjCHslARIggTQCFBgXTIN///vfqk+f/ipXrjAVFFRXIkpJ2aJu3kxQU6dOUr/85S9dECVDIAEScBoBCozTRuw+fyEuXbo8ryIi5qmiRaN+9Ndz56JVfHw3NX/+XIqMw8eZ7pOAEwlQYJw4aul8DgkJU8WLf/ATcdEugcicOdNPJSUlODxSuk8CJOA0AhQYp41YOn+x5jJkyDRVseLKR0Zx8GAbNX58b67JOHis6ToJOJEABcaJo/Z/n8eMGaPmzbuhypUb88goEhOHq27dcqvhw4c7OFq6TgIk4DQCFBinjVg6fykwDh48uk4CHiBAgXHwIPv6imz79kZq6NDuaTvN+jg4WrpOAiTgNAIUGKeN2H3++rLIv2fP8yoysonq0KGD+tWvfqWKFCni8KjpPgmQgBMIUGCcMEqP8BHblDt16qZq1vzigduUd+3qoqKi2qadi0mRVgoWLCgig7MxOXLkcHj0dJ8ESMDOBCgwdh4dH3zbsWOHev3119NO8B9OE48qKn/+ZnLX/Qctly5dqv71r3+p8+fPy9/Dw8NFaJo2bepDL7yEBEiABPwnQIHxn5mt7tBO6RcuXFjE4uTJk+Lfg1LFXLp0SUQGTz2pqalyXYMGDURocD2NBEiABAJJgAITSJomtzVt2jS1YsUK6fXNN99Ubdu29cmDw4cPi9DExsbq10dFRYnQFCtWzKc2eBEJkAAJZESAApMRIZv+/cyZM/JqDNawYUP1zjvv+O3ppk2bRGi0BJnBwcGyNgOhCQoK8rs93kACJEAC6QlQYBw6H3r06KGSk5PV448/rsaOHavKly+f6Uiio6NFaM6ePStthIWFicg0b948023yRhIgARKgwDhwDixatEjNnj1bPH/++efVs88+m+Uorly5ImszEBptx1m9evVEaKpVq5bl9tkACZCA9whQYBw25rdv307bltxJvK5cubIaN25cQCNISEgQkYmJidHbffrpp0VoSpQoEdC+2BgJkIC7CVBgHDa+gwYNUocOHRKv//CHP6hatWoZEsHmzZtFaHbv3i3t582bV0QGP3gtRyMBEiCBjAhQYDIiZKO/x8XFqQkTJohHWIx/9dVXDfdu+fLlIjSnT5+WvkJDQ0VkWrZsaXjf7IAESMDZBCgwDho/7cxLqVKlZGE/f/78pnh/7do1ERn83Lp1S/qsU6eOCE316tVN8YGdkAAJOI8ABcYhY/bee++p9evXi7f9+/dXLVq0MN3zo0ePisisXbtW7xtnbyA0ED0aCZAACaQnQIFxwHw4cuSIGjBggHiKrcPa71a5vnXrVhGaXbt2iQt58uTR12dy5cpllVvslwRIwGYEKDA2G5AHufOb3/xG3blzR+XLl09ejZUuXdoWXn/11VciNFp6mjJlysjaUOvWrW3hH50gARKwlgAFxlr+Gfb+z3/+Uy1cuFCu69mzpzwp2Mm+++47fX3m5s2b4hp2tsHPmjVr2slV+kICJGAyAQqMycD96e7y5cvqxRdflFvwYT169Gh/bjf12uPHj4vQrF69Wu8XTzIQmpCQEFN9YWckQAL2IECBscc4PNCLN954Q506dUr+hldjTsh4vH37dhEalBGAYU1GOz+DtRoaCZCAdwhQYGw61ljf+Otf/yrede7cWSH3mJNs1apVIjRJSUniNtaNsD7ja8ZnJ8VKX0mABB5MgAJjw5mBBX0s7MOQeHLSpEk29DJjl7Amo52fwVoNrEaNGvJEU7t27Ywb4BUkQAKOJkCBseHwIQUMXjXBhg4dqho1amRDL3136cSJE5JIE09lmkVGRorQlC1b1veGeCUJkICjCFBgbDZcOFsycuRI8apNmzaqT58+NvMw8+7s3LlTnmi2bdsmjSCnmbY+g1xnNBIgAXcRoMDYbDzTl0BG3rFChQrZzMOsu7NmzRoRmmPHjkljyNIMoUHWZhoJkIB7CFBgbDSW06dPV0guCevdu7dq166djbwLrCvIaaatzyDXGSwiIkKEpm7duoHtjK2RAAlYQoACYwn2n3aK7cjYlgxr0KCBGjZsmE08M9YNZGmG0GjCit6QZw1CU65cOWM7Z+skQAKGEqDAGIrX98ZfeOEFhaqSOXPmlCJiWSmB7Huv9rkyPj5ehGbLli3iVFBQkL4+Y1bWaPvQoCck4A4CFBgbjOPixYvVrFmzxJNAlUC2QViZcmHdunUiNImJiXJ/sWLFRGiioqIy1R5vIgESsI4ABcY69tLz1atXRVRgRpRAtji8THWfkpKir88kJydLG1WrVpWDmnh9SCMBEnAGAQqMxeM0ePBgdfDgQfFi1KhRPICYbjzOnj0rQhMdHa3/a7NmzeSJxmuvEC2epuyeBDJFgAKTKWyBuWnDhg1q/Pjx0liHDh3Ua6+9FpiGXdbKnj175KDmpk2bJLIcOXLo6zMFChRwWbQMhwTcQ4ACY9FY3rt3T0+9X7JkSTV16lT54KQ9nMDXX38tTzQowAYrUqSIMIQ400iABOxHgAJj0ZhMnDhRxcbGSu9WlUC2KPQsdZuamqqvz6CcAQxrV1ifcXpKnSyB4c0kYEMCFBgLBuXw4cNq4MCB0jPWFLTfLXDFsV2eP39ehGbp0qV6DE2aNJEnmgoVKjg2LjpOAm4iQIGxYDSfeeYZhZ1SyL/1l7/8Rbbi0jJHYN++fbI+880330gD2bJl09dn3JhmJ3OUeBcJWEOAAmMy9zlz5qgFCxZIr6+88orq2LGjyR64s7v169fLE82hQ4ckwCeffFIXGndGzKhIwP4EKDAmjhG23fbq1Ut6tHsJZBOxBKwrbJzQ8ptdvHhR2q1YsaIIzVNPPRWwftgQCZCAbwQoML5xCshVSGB58uRJaevPf/6zHB6kBZ7At99+qwuN1nrjxo1FaCpVqhT4DtkiCZDAAwlQYEyaGCtXrpStyLBOnTop5B6jGUsAB1jxRBMXF6d3hN1mEJrChQsb2zlbJwESUBQYEyYBygV369ZNekKG4MmTJ5vQK7vQCOBAK4TmwIED8k8FCxbU12eyZ89OUCRAAgYRoMAYBDZ9s6NHj9arOLqhBLIJyAzpArvNIDQXLlyQ9sPDw0VomjZtakh/bJQEvE6AAmPwDHBzCWSD0RnS/KVLl/T1mbt370ofDRs2lIOaVapUMaRPNkoCXiVAgTF45LUSyNg2i4qVqENPs54ADrviaUbLpgCP2rdvL080RYsWtd5BekACLiBAgTFwED/66CP1n//8R3pAtUrWnDcQdiab3rhxoxzU3Lt3r7QQHBysr8889thjmWyVt5EACYAABcageYCCWb/73e+k9fr166vhw4cb1BObDQSBZcuWyRPNuXPnpLmwsDARmubNmweiebZBAp4kQIExaNhffPFFhWSMKIGMXWOlSpUyqCc2GygCKFmtHdS8c+eONFuvXj0RmmrVqgWqG7ZDAp4hQIExYKi//PJL9Y9//ENafu6551SXLl0M6IVNGkUgISFBhCYmJkbv4he/+IUITfHixY3qlu2SgOsIUGACPKTYAtuzZ09p9ec//7leUCzA3bA5Ewhs3rxZhGb37t3SW758+fT1GTyZ0kiABB5NgAIT4Bny9ttv6wf6cP4FOcdoziaAjRoQmjNnzkggoaGhIjQtW7Z0dmD0ngQMJkCBCSBgpIwfN26ctMgSyAEEa4Omrl69qq/P3L59WzyqU6eOCE316tVt4CFdIAH7EaDABGhMvv/+e/Xss89KayiBjDMvNPcROHr0qAjN2rVr9eDatWsnBzW5kcN9482IskaAApM1fvrdKByGmvEwbE/m65MAgbVpM1u3bhWhQaYG2M9+9jN9feaJJ56wqdd0iwTMJUCBCQBvLAJr51yQ12rQoEEBaJVNOIHAihUr5KCmVoahTJkyIjStWrVygvv0kQQMJUCBCQBepN/He3l8i50xY4b8L807BK5fv66vz+BVKaxWrVoiNNzk4Z15wEh/SoACk8VZMXfuXPXFF19IKyyBnEWYDr/9+PHjIjSrV6/WI2nTpo2sz4SEhDg8OrpPAv4ToMD4z0y/49ixY6pfv37y/2vUqKHefffdLLTGW91CYPv27SI0O3bskJBy586tr8/gdxoJeIUABSYLI/3mm2+qEydOSAtTpkyR8xE0EtAIoIop1meSkpLkn0qXLi1Cg6caGgl4gQAFJpOjvGrVKvXhhx/K3c8884xC7jEaCdxP4MaNG/r6DH6H4WkXQlO7dm0CIwFXE6DAZGJ4UbTqpZdekjtZAjkTAD14C5508doMTzWaRUZGitCULVvWg0QYshcIUGAyMcpYa8E5CNiIESMk4y6NBHwhsHPnThGabdu2yeU4MwORwQ93H/pCkNc4iQAFxs/R+u9//6vGjBkjd7Vu3Vr17dvXzxZ4OQkotWbNGhEabBSBIfsDRAZZAWgk4BYCFBg/RjIlJUXWW2CFChXSU/L70QQvJQGdAM7MaPVncJYGFhERIUJTt25dkiIBxxOgwPgxhB9//LGKjo6WO1gC2Q9wvPSRBE6dOiVCg6wAmrVo0UKEBmt8NBJwKgEKjI8jt2/fPjV06FC5miWQfYTGy/wiEB8fL0KzZcsWuQ81ZyAyOKiZP39+v9rixSRgBwIUGB9HAbvGsHssKChI/f3vf1fBwcE+3snLSMA/AuvWrROhSUxMlBtRRRNCg6qaNBJwEgEKjA+jtWTJEjVz5ky5snv37qpr164+3MVLSCDzBJDbDiKDg5rJycnSUNWqVUVo8ARNIwEnEKDAZDBKOL+AE/uwSpUqqQkTJjhhXOmjSwigiiaEBlU1NWvWrJkITfny5V0SJcNwKwEKTAYjO2TIELV//365CjVfwsPD3ToXGJeNCezZs0eEBtvkYY899pi+PlOgQAEbe07XvEyAAvOI0ce78EmTJskV7du3V7169fLyXGHsNiCAonYQmiNHjog3RYsWFaHB/KSRgN0IUGAeMiJXrlxRL7zwgvy1RIkS6qOPPrLb2NEfjxK4c+eOvj5z+fJloVC5cmURmoYNG3qUCsO2IwEKzENG5f3331cxMTHyV2xPbtSokR3Hjz55mMC5c+dEaJYtW6ZTaNKkiQhNhQoVPEyGoduFAAXmASOBPGNabReWQLbLVKUfDyOAM1oQmo0bN8ol2bNnl7MzEBpknKCRgFUEKDD3kU9NTZVtyLdu3ZLkg5999plVY8N+ScAvAuvXrxehOXTokNxXuHBhfSOAXw3xYhIIEAEKzH0gP/30UzV//nz51549e8p/oDQScAqBu3fvytkZCM3FixfFbWyvxzxu3LixU8Kgny4hQIFJN5AHDx5UgwcPln+pXr26+uMf/+iSYWYYXiNw4cIFfSOAFjsEBkIDwaGRgBkEKDDpKPfp00cvb4t0MHjFQCMBJxM4cOCACM2GDRv0MLT1Gc5vJ4+sM3ynwPx/nJAlGdmSYSyB7IzJSy99JwCBgdBAcGBY/NcSaWJTAI0EjCBAgUmjevr0afXb3/5W+IaGhqopU6YYwZptkoDlBLT1GbxCg2E7M4QG25tpJBBoAhSYNKJYa9FSpI8bN04OrdFIwK0EsPivJdLEpgAYDmhCaDj33Trq1sTleYGJjY1VEydOFPqtWrVS/fr1s2Yk2CsJmEwA25khNNjerBlSzkBokIKGRgJZJeBpgbl27Zp67rnnhCFLIGd1KvF+pxLAAU0IDQ5swpA8U9sIgKSaNBLILAFPC8yMGTP0NBsDBw5USINOIwGvEkDKGQgNUtDAUA4ATzP878KrMyLrcXtWYHbs2KFGjRolBOvVq6dGjBiRdZpsgQQcTgDJM7WNAEiqCUOBMwgNCp7RSMAfAp4VmJdffllOOuMVwBdffCH/SyMBEviBAMoB4GkG5QE0Q8lmCA1KONNIwBcCnhQYCMrcuXOFD1Lyd+rUyRdWvIYEPEcABc4gNCh4BsufP7++PpMzZ07P8WDA/hHwnMDgm9mAAQOEEksg+zdZeLV3CaBkM4QGJZxh5cqVk6eZFi1aeBcKI8+QgOcEBrVdtN0yOLnPx/0M5wgvIAEhkJycrK/P3L59W/6tbt26IjQRERGkRAI/IeApgVm+fLmaPn26QIiKilKvv/46pwQJkICfBBITE+VpBiXFNWvXrp0ITcmSJf1sjZe7mYBnBAZbL1977TUZSzy1aHnH3Dy4jI0EjCSA7BcQmvj4eOkG9ZMgMvh54oknjOyabTuEgGcEZtKkSfo3rj/96U98pHfIBKWb9iewYsUKEZpTp06Js2XLlhWRiYyMtL/z9NBQAp4QmLi4ODVhwgQBiaR+Ws0XQ8mycRLwEIHr16+LyODn+++/l8hr164tQlOjRg0PkWCo6Qm4XmBu3LihXnrpJZn0efLkUfPmzeMMIAESMIjAsWPHRGTWrFmj99CmTRsRmtKlSxvUK5u1KwHXC8ysWbPU4sWLhf9bb73Fx3a7zkT65SoC27ZtE6HZuXOnxJU7d259fQa/07xBwNUCs2vXLjVy5EgZSZZA9saEZpT2IrBy5UoRmhMnTohjISEhclATTzU09xNwtcD07dtXHT9+XEZx/vz5KleuXO4fUUZIAjYjgNfU2voMfofVrFlTnmhq1aplM2/pTiAJuFZgFi1apGbPni2sunfvrrp27RpIbmyLBEjATwJJSUlyUBNPNZqhBhOEpkyZMn62xsudQMCVAnP06FFZb4Fhy+QHH3zghLGgjyTgCQLIZI4nmu3bt0u8ODOjnZ/BWRqaewi4UmBwzmXz5s0ySlOnTpX3vjQSIAF7EVi9erUIjfYau1SpUrI+g6wANHcQcJ3A4PEbogJr3bq1wjoMjQRIwJ4EcHxAW5/BWRoYNuTgiaZOnTr2dJpe+UzAVQLz7bffqldeeUWCL1iwoMIWZRoJkID9CZw8eVLWZ5AVQLOWLVuK0ISGhto/AHr4QAKuEphp06bpExTVKnGSmEYCJOAcAjhagCearVu3itOoOaOtz+TLl885gdBTIeAagdm4caMaO3asBMUSyJzdJOBsAmvXrhWhwYYdGBLUQmhQVZPmHAKuEJhbt26pN954Q+EVGUofayf3nTMM9JQESOB+Aqg5o63PXL16Vf5crVo1ERp8iaTZn4ArBGbOnDlqwYIFQrt3797chWL/eUcPScBnAqiiCaFBVU3NmjdvLkITFhbmczu80HwCjhcY1AofNmyYkKtYsaJ67733zKfIHkmABAwnsHv3bhEa7QgC3lZo6zPBwcGG988O/CfgeIF555131N69eyXyTz/9VOXNm9d/CryDBEjAMQRiYmJEaBISEsTnokWLitC0b9/eMTF4xVFHC8ySJUvUzJkzZaw6d+6sevTo4ZVxY5wk4GkCd+7c0ddnrly5IiyqVKkiBzUbNmzoaTZ2Ct6xAoPTv9ohSpZAttOUoi8kYB4BlELH08yyZcv0Tps2bSpPNOHh4eY5wp4eSMCxAjNx4kQVGxsrQU2ePFmVK1eOQ0wCJOBRAnhNjoOaOK4Ay549u74+g0PXNGsIOFJgUC1vypQpQgy7SQYMGGANPfZKAiRgKwL40oknmsOHD4tfhQsXFqHBqzOa+QQcJzCXLl2SMy83b96UKnmff/65+dTYIwmQgG0J3L17V1+fwecFrFKlSiI0jRs3tq3fbnTMcQLz8ccfq+joaBmL4cOHq/r167txXBgTCZBAFglcuHBBhAavzjR76qmnRGhwpIFmPAFHCQz2vyMVPywiIkL/3XhM7IEESMCpBA4cOCBCs2HDBj0E7fzMk08+6dSwHOG3YwQmJSVFDRw4UB07dkzApv9W4gjSdJIESMBSAnFxcSI0Bw8eFD8KFSqkbwTIli2bpb65tXPHCMxnn32mr7f06tWLh6rcOiMZFwkYTEDLb4bchbAKFSqI0DRp0sTgnr3XvCMEZv/+/WrIkCEyOiyB7L1JyohJINAELl68qG8EuHfvnjTfqFEj2W1WuXLlQHfn2fYcITCjR49W27Ztk0FCETHua/fsfGXgJBBQAocOHRKhWb9+vd5uhw4d5ImmSJEiAe3Li43ZXmCWLl2q/va3v8nY/PrXv1Yvv/yyF8eJMZMACRhI4JtvvpF13X379kkvBQoU0NdncuTIYWDP7m7a1gKDMqpIv68N+OzZs909GoyOBEjAUgL4QosnmvPnz4sf5cuXF6Fp1qyZpX45tXNbC8z777+vkDkVhjT83Lvu1GlGv0nAOQQuX76sr8+kpqaK4w0aNJD1mapVqzonEBt4aluBgbBAYGA4HPX222/bABddIAES8AqBI0eOiNB8/fXXeshRUVHyRFOsWDGvYMhSnLYUmOTkZMkvhpO4eP/55ZdfZilI3kwCJEACmSWwadMmWZ9BcUNY/vz59fWZoKCgzDbriftsKTBY1Me7UBieXPAEQyMBEiABKwkgRRWeaM6ePStuIIM7nmZatGhhpVu27tt2AoPtyNiWDGMJZFvPHTpHAp4jgLcr2kFNZBeB1a1bV4QG6atoPyZgK4FBFlSUQMbBShgGkikcOGVJgATsRiAxMVE+n9atW6e79vTTT4vQlChRwm7uWuaPrQQGqfeREgaG8y4490IjARIgAbsS2LJliwhNfHy8uJg3b159febxxx+3q9um+WUbgcGJ2kGDBkng2KExY8YM0yCwIxIgARLICoHly5eL0Jw+fVqaQUorPM1ERkZmpVnH32sbgUEafqTjh33yySdM0+D4qcUASMBbBK5du6avz9y6dUuCr127tghNjRo1vAXj/9HaQmCwOwOFxGDt27dXyJZMIwESIAEnEkBJETzNoLS7Zm3btpWDmqVLl3ZiSJn22XKBOXPmjOrfv7+6ceMGSyBnehh5IwmQgN0IYEcshGbnzp3iWp48efT1mVy5ctnNXUP8sVxgpkyZoiv92LFjVZUqVQwJlI2SAAmQgBUEvvrqKzmoeeLECek+JCREhKZ169ZWuGNqn5YKDFJkI8cYrH79+mr48OGmBs/OSIAESMAMAt99952+PnPz5k3psmbNmiI0tWrVMsMFS/qwTGCuX78uZ16OHz8ugbMEsiXjz05JgARMJJCUlCRCs2rVKr3XVq1aidCUKVPGRE/M6coygZk5c6ZasmSJRIm8Y82bNzcnYvZCAiRAAhYT2LFjhwjN9u3bxROsyUBk8IO1GreYJQKDRa/f//73whD5fCZPnuwWnoyDBEiABHwmgCcZvL3R3uSUKlVKRAa7ztxglgjMsGHD9MykCxcuVDlz5nQDS8ZAAiRAAn4TwJqMlt8MazWw6tWri9DUqVPH7/bsdIPpArNgwQI1Z84cYdCjRw/VuXNnO/GgLyRAAiRgCQFU8IXQYNeZZi1bthShCQ0NtcSnrHZqqsAkJCTImRcYal6zBHJWh4/3kwAJuI3Arl27RGi2bt0qoSGnmbY+g1xnTjJTBQbnXDZu3Ch8pk+frkqWLOkkVvSVBEiABEwjsHbtWhGao0ePSp/I0gyhQdZmp5hpArNixQo1bdo04dKuXTvVu3dvpzCinyRAAiRgCQHkNNPWZ5DrDFatWjURmnr16lnikz+dmiIw58+flzMvKIGcPXt2fXuyP47yWhIgARLwKgFkaYbQIGuzZjjaAaEJCwuzLRZTBGbq1Klq5cqVAuHdd9/1bGZR284COkYCJOAIArt37xah0TLPBwUFicggkWZwcLDtYjBcYDZs2KDGjx8vgSN19ahRo2wHgQ6RAAmQgJMIxMTEiNBg4xQMNbQgNFFRUbYKw1CBwf5uvBpDeVEY08HYauzpDAmQgIMJpKSkiMjgc/XKlSsSCZIFQ2gaNGhgi8gMFRhsQ160aJEE2rdvX09kD7XFqNIJEiABzxA4e/asCA3qamnWtGlTEZrw8HBLORgmMKhRPWLECAkO6amxDkMjARIgARIwhsDevXtFaDZt2iQd5MiRQ9ZmIDQFCxb8UafIA4nrtaeejh07GuKUYQIzcuRIhQNDsM8//1yKidFIgARIgASMJRAbGytCc/jwYemoSJEiIjIdOnSQ12l9+vRPS64ZpoKC6srfU1K2qJs3E9IeAiaJIAXSDBGYxYsXq1mzZomfXbt2Vd27dw+kz2yLBEiABEjgEQRSU1NFTCA0ly5dkiux4yw6+qu0PGfzVdGiP94McO5ctIqP76bmz58bUJEJuMDg1CkW9lECGSmo58+fz4lAAiRAAiRgAQGcQYTILF26NK1y8HpVtercn4iL5hZE5syZfiop6YedaYGwgAvMhAkTVFxcnPj24YcfurKITiDAsw0SIAESCASBu3fvKjyxPOoH9bemTYtOy878Q6quh9nBg23SjpX0VoFakwmowKC2AUQFFhkZqd56661A8GMbJEACJOATgfs/ZH358NXuceq19+7dy5AN1mNSU9urSpV+KFH/MEtMHK66dcsdsPL1WRKY9DsRsFMMi0vnzp0T33nmJcMx5wUkYCiBjL7V4u92+FANpB+GAnVw444SmAftREhO/jptMWlv2kGfcElq6fRCOQ6eS3T9PgL4hpf+w9afD9VAfviZ/e2aE8E8AtmyZZNtwQ/6Qf7Fh/3t/n836lpkVPnkk5VpazAxj4Ri+SsyiEuXLs+riIh5D9yJsGPHs2rhwnkB3Ylg3qyMxbUAAAIkSURBVDRxf0/3f9g+7FuuPx/Cdr8W/tHMI4APSX8+KPEh68/1drwWPtndQkLCVPHiH9h7kd8KJ40auPs/GO3+QZmVb8DaN3F+2Bo1mx7c7qM+DO34Qfmob9q++otv8zT7Ecjo4cDybcpYcxkyZJqqWPGHzMgPsz17mqtXX22jGjdunOHuBisX2HxZHLPfNHGuR274pprRq477P4T5Yevc+epGz2190HLMmDFq3rwbqly5MY9kf+DA4LR3jsssz4Nj5wli9vtaO3y423k86BsJeImALVPFGCEw2uKYr4/fdvigDIQPXprMjJUESMCbBPzapuzrK7L9+yPV0KHdpXa0L68UvImeUZMACZCAuwn4JTBA4aZFfncPLaMjARIgAWsJ+C0wVuxEsBYReycBEiABEsgMAb8FBp2YvRMhM4HxHhIgARIgAWsJZEpgNJfN2olgLSL2TgIkQAIkkBkCWRKYzHTIe0iABEiABLxBgALjjXFmlCRAAiRgOgEKjOnI2SEJkAAJeIMABcYb48woSYAESMB0AhQY05GzQxIgARLwBgEKjDfGmVGSAAmQgOkEKDCmI2eHJEACJOANAhQYb4wzoyQBEiAB0wlQYExHzg5JgARIwBsEKDDeGGdGSQIkQAKmE6DAmI6cHZIACZCANwhQYLwxzoySBEiABEwnQIExHTk7JAESIAFvEKDAeGOcGSUJkAAJmE6AAmM6cnZIAiRAAt4g8D8WRryuZiGXOQAAAABJRU5ErkJggg==[/img][img]data:image/png;base64,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[/img][br][br]Gruppe 3 soll zunächst ein Blatt in der Mitte falten und anschließend ein Dreieck aufzeichnen und dieses so ausschneiden, dass sie zwei kongruente Dreiecke erhalten. Nun sollen sie versuchen, das Dreieck zu einem Rechteck zu ergänzen. Dazu müssen sie (wenn sie kein rechtwinkliges Dreieck gezeichnet haben) die Höhe eines Dreieckes einzeichnen und dieses dann entlang der Höhe teilen. Die entstandenen Teildreiecke können an das andere Dreieck angelegt werden, sodass ein Rechteck entsteht.[br][img]data:image/png;base64,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[/img][br][br]Die Gruppen können anschließend ihre Ergebnisse präsentieren.

Die Lehrkraft hält insbesondere die Ergebnisse der dritten Gruppe fest. Dazu kann sie entweder ein Tafelbild erzeugen, oder aber folgendes Applet zeigen und damit arbeiten:

Wichtig ist, dass die Schüler am Ende zur Ergebnissicherung eine Zeichnung mit Beschriftung in ihrem Heft stehen haben. Dies ist insbesondere im dritten Teil wichtig.

Im dritten Unterrichtsteil rückt die Formalisierung in den Mittelpunkt. Im zweiten Teil wurde eine Skizze an der Tafel (oder mit GeoGebra) erzeugt, die den Flächeninhalt eines Dreiecks auf den eines Rechtecks mit doppeltem Flächeninhalt zurückführt.[br][br]Dies muss jetzt für die Schüler kompakt, beispielsweise mit einem Regelheftaufschrieb, zusammengefasst werden. Dieser könnte so aussehen:[br][br][br][u][b]Flächeninhalt eines Dreiecks[br][/b][/u]Der Flächeninhalt eines Dreiecks lässt sich mithilfe der Grundseite g und der dazugehörigen Höhe h[sub]g[/sub] berechnen. Es gilt: [math]A=\frac{1}{2}\cdot g\cdot h_g[/math][br][img]data:image/png;base64,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[/img]

Hier muss deutlich gemacht werden, dass die Seite g nicht zwingend die längste Seite sein muss, jedoch die Höhe h immer auf der gewählten Seite g liegen muss. Im besten Fall wurde das aber bereits zuvor behandelt, beispielsweise bei der Einführung von Dreiecken.

Ich habe in dem Unterrichtsentwurf bewusst auf den Einsatz von GeoGebra für Schülerinnen und Schüler verzichtet und es lediglich als Visualisierungshilfe für die Lehrkraft verwendet.[br]Es gibt durchaus gute Applets, mit denen auch der erste Unterrichtsteil gestaltet werden kann. Dabei ist das Problem jedoch, dass die Applets nur der Visualisierung dienen und das, was "entdeckt" bzw. herausgefunden werden soll, lediglich durch einen Schieberegler oder ähnliches verdeckt wird. Die Schüler können so nicht mithilfe von eigenem herumprobieren auf die Lösung kommen und das ist insbesondere für ein grundlegendes Verständnis wichtig.

[list][*]Verwendetes Applet: https://www.geogebra.org/m/esurp38n (angepasst, abgerufen am 01.12.2022)[/*][*]Weigand, Hans-Georg et al.: Didaktik der Geometrie für die Sekundarstufe I, Berlin/Heidelberg[sup]3[/sup], 2018[/*][*]Buck, Heidi et al.: Lambacher Schweizer 5. Mathematik für Gymnasien, Stuttgart[sup]1[/sup], 2014[/*][*]Buck, Heidi et al.: Lambacher Schweizer 6. Mathematik für Gymnasien, Stuttgart[sup]1[/sup], 2015[br][/*][/list]