\mnb150ÿ{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fswiss\fprq2 Helvetica;}{\f4\fswiss\fprq2 Arial;}{\f5\fmodern\fprq1 Courier New;}{\f6\froman\fprq2 Times New Roman;}{\f7\froman\fcharset1 Times New Roman;}} {\colortbl\red0\green0\blue0;\red0\green0\blue255;\red255\green255\blue255;\red255\green0\blue0;\red0\green128\blue0;\red128\green0\blue0;} \deflang1031\pard\ri4\plain\f5\fs20\cf0\b ________________________________________________________________________________ \par \par \plain\f5\fs20\cf0 Inhalt....: Zeichnen von Vielecken Teil 2 \par Kategorie.: Unterrichtsmaterial \par Mathematik: Analysis, Geometrie R^2, Sonstiges \par MuPAD.....: 3.0.0 \par Datum.....: 2004-08-24 \par Autoren...: Thomas Himmelbauer \par Funktionen: plot, ViewingBox, Color, plot::Polygon2d, FillPattern, FillColor, \par Funktionen: Scaling, Constrained, Filled, Closed, XAxisTitle, YAxisTitle, \par Funktionen: XTicksDistance, YTicksDistance, \par \plain\f5\fs20\cf0\b ________________________________________________________________________________ \par \plain\f7\fs28\cf0\b \par \plain\f6\fs24\cf5\b Vorbemerkung: \par \plain\f6\fs24\cf5 \par Die Materialien stammen aus dem Unterricht einer 3. Klasse Gymnasium (7. Schulstufe, Sekundarstufe \par 1) in Mathematik. Die Klasse hatte pro Woche 4 Stunden Mathematik. Der Lehrstoff bestand in etwa \par aus dem Rechnen mit Ganzen Zahlen, dem Arbeiten mit Termen und Variablen und ebener Geometrie). \par Die Sch\'fcler haben in der Schule im PC-Raum zu zweit an einem Ger\'e4t gearbeitet. Jeder Sch\'fcler hatte \par auch zu Hause einen PC mit einer MuPAD-Lizenz. \par Au\'dferdem wurde die Lernplattform Elsitos verwendet. Dadurch konnten Lehrer und Sch\'fcler Dokumente \par ins Internet stellen und austauschen, z.B. Haus\'fcbungen. \par Diese Klasse soll aber der 9. Schulstufe als Notebookklasse gef\'fchrt werden. Die Besch\'e4ftigung mit \par MuPAD war als erste Vorstufe dazu gedacht. MuPAD wurde in der Regel nur eingesetzt, um bereits \par gelernte Zusammenh\'e4nge an das CAS zu \'fcbergeben oder Fertigkeiten zu vertiefen. So wurde das L\'f6sen \par der Gleichungen von Textgleichungen an MuPAD ausgelagert, um sich ganz der Aufstellung der Gleichung \par aus dem Text widmen zu k\'f6nnen. \par Das Erkennen von Termstrukturen konnten durch das Zeichnen von Baumstrukturen verbessert werden. \par Auch beim L\'f6sen von Gleichung durch \'c4quivalenzumformungen konnten die Berechnungen an MuPAD \par \'fcbertragen werden. Dadurch konnten die gesamte Konzentration auf die Umformung gelenkt werden. \par Au\'dferdem f\'fchrt MuPAD immer die angegebenen Umformung durch. Was nicht immer den Zielvorstellungen \par von Sch\'fclen entspricht. z B. f\'fchrt die Subtraktion von 3 von der Gleichung 3x=7 nicht zu x=4) \par Die MuPAD-Graphik wurde zum Zeichnen von Polygonen verwendet. Einerseits um durch die h\'fcbsche \par Graphik die Freude an der Sache zu heben, andererseits um objektorientiertes Denken, exakte Eingaben \par und den Umgang mit Koordinaten zu schulen. \par \par Um die Lernmotivation f\'fcr MuPAD hoch zu halten, wurde eine Schularbeit von den 5 Schularbeiten ganz \par mit MuPAD geschrieben. Dabei wurde die Klasse geteilt, so dass jeder Sch\'fcler einen eigenen PC zur \par Verf\'fcgung hatte. \par \plain\f7\fs28\cf0\b \par 13. Schul\'fcbung \par \par Zeichnen von Vielecken \par \par \plain\f7\fs24\cf0\b Stelle das abgebildete M\'e4nnchen dar!\plain\f7\fs28\cf0\b \par {\pict\wmetafile8\picw11179\pich7434\picscalex99\picscaley99\picwgoal6400\pichgoal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FillPattern=Solid, \par FillColor=RGB::Red) \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}v2:=plot::Polygon2d([[5,7],[8,7],[8,9],[5,9]], \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 Filled=TRUE,Closed=TRUE, \par FillPattern=Solid, \par FillColor=RGB::Blue) \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}v3:=plot::Polygon2d([[5,3],[5,6],[8,6],[8,3]], \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 Filled=TRUE, \par Closed=TRUE, \par FillPattern=Solid, \par FillColor=RGB::Green) \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}v4:=plot::Polygon2d([[3,5],[3,6],[5,6],[5,5]], \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 Filled=TRUE, \par Closed=TRUE, \par FillPattern=Solid, \par FillColor=RGB::Black) \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}v5:=plot::Polygon2d([[8,5],[8,6],[10,6],[10,5]], \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 Filled=TRUE, \par Closed=TRUE, \par FillPattern=Solid, \par FillColor=RGB::Black) \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}v6:=plot::Polygon2d([[5,0],[5,3],[6,3],[6,0]], \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 Filled=TRUE, \par Closed=TRUE, \par FillPattern=Solid, \par FillColor=RGB::Yellow) \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}v7:=plot::Polygon2d([[7,0],[7,3],[8,3],[8,0]], \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 Filled=TRUE, \par Closed=TRUE, \par FillPattern=Solid, \par Color=RGB::Yellow) \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}v8:=plot::Polygon2d([[5,9],[6,10],[7,10],[8,9]], \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 Filled=TRUE, \par Closed=TRUE, \par FillPattern=Solid, \par Color=RGB::Red) \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab}plot(v1,v2,v3,v4,v5,v6,v7,v8,Scaling=Constrained,GridVisible, \par \pard\li600\ri1\fi-300\plain\f5\fs36\cf3 XTicksDistance=1,YTicksDistance=1,ViewingBox=[0..10,0..12]) \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f5\fs36\cf3 {\pntext\f1\'b7\tab} \par \pard\ri4\plain\f5\fs20\cf0\b _______________________________________________________________________________ \par \plain\f4\fs22\cf0 \par \plain\f4\fs22\cf4\b Anmerkungen:\plain\f4\fs22\cf4 \par \plain\f4\fs20\cf4\b 1. \plain\f4\fs20\cf4 Unter \plain\f4\fs20\cf3 www.schule.mupad.de/material/\plain\f4\fs20\cf4 finden Sie weitere interessante Notebooks. \par \par \plain\f4\fs20\cf4\b 2.\plain\f4\fs20\cf4 Weitere Anregungen finden Sie in der Buchreihe \plain\f4\fs20\cf3 Mathematik 1 x anders\plain\f4\fs20\cf4 . In dieser Reihe wird eine Vielzahl \par \plain\f4\fs20\cf2 ss\plain\f4\fs20\cf4 unterschiedlichster mathematischer Probleme mit MuPAD gel\'f6st. Die B\'fccher k\'f6nnen unter \par \plain\f4\fs20\cf2 ss\plain\f3\fs20\cf1 www.schule.mupad.de/literatur\plain\f4\fs20\cf4 kostenfrei kopiert werden.\plain\f4\fs20\cf3 \par \plain\f5\fs20\cf0\b _______________________________________________________________________________\plain\f5\fs28\cf3\b \par }