Strukturierungsvorschlag: Unterschied zwischen den Versionen
Aus Medienvielfalt-Wiki
(Geometrie angepasst) |
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| Zeile 93: | Zeile 93: | ||
|align = "right"|9 | |align = "right"|9 | ||
|Potenzbegriff | |Potenzbegriff | ||
| − | | | + | |colspan = "5"| |
| + | |- | ||
| + | |align = "right"|1 | ||
| + | |align = "right"|1 | ||
| + | |align = "right"|1 | ||
| + | |align = "right"|10 | ||
| + | |Muster erkennen | ||
| + | |colspan = "5"| | ||
|- | |- | ||
| Zeile 500: | Zeile 507: | ||
|align = "right"|<font size = "4">'''0'''</font> | |align = "right"|<font size = "4">'''0'''</font> | ||
|align = "right"|<font size = "4">'''0'''</font> | |align = "right"|<font size = "4">'''0'''</font> | ||
| − | |align = "right"|<font size = "4">''' | + | |align = "right"|<font size = "4">'''0'''</font> |
|<font size = "4">'''Messen und Größen'''</font> | |<font size = "4">'''Messen und Größen'''</font> | ||
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 508: | Zeile 515: | ||
|align = "right"|<font size = "4">'''1'''</font> | |align = "right"|<font size = "4">'''1'''</font> | ||
|align = "right"|<font size = "4">'''0'''</font> | |align = "right"|<font size = "4">'''0'''</font> | ||
| − | |align = "right"|<font size = "4">''' | + | |align = "right"|<font size = "4">'''0'''</font> |
|<font size = "4">'''Messen von Größen'''</font> | |<font size = "4">'''Messen von Größen'''</font> | ||
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 516: | Zeile 523: | ||
|align = "right"|<font size = "4">'''2'''</font> | |align = "right"|<font size = "4">'''2'''</font> | ||
|align = "right"|<font size = "4">'''0'''</font> | |align = "right"|<font size = "4">'''0'''</font> | ||
| − | |align = "right"|<font size = "4">''' | + | |align = "right"|<font size = "4">'''0'''</font> |
|<font size = "4">'''Umwandeln von Einheiten'''</font> | |<font size = "4">'''Umwandeln von Einheiten'''</font> | ||
|colspan = "5"|''' ''' | |colspan = "5"|''' ''' | ||
| Zeile 524: | Zeile 531: | ||
|align = "right"|<font size = "4">'''3'''</font> | |align = "right"|<font size = "4">'''3'''</font> | ||
|align = "right"|<font size = "4">'''0'''</font> | |align = "right"|<font size = "4">'''0'''</font> | ||
| − | |align = "right"|<font size = "4">''' | + | |align = "right"|<font size = "4">'''0'''</font> |
|<font size = "4">'''Rechnen mit Größen'''</font> | |<font size = "4">'''Rechnen mit Größen'''</font> | ||
|colspan = "5"|''' ''' | |colspan = "5"|''' ''' | ||
| Zeile 532: | Zeile 539: | ||
|align = "right"|<font size = "4">'''4'''</font> | |align = "right"|<font size = "4">'''4'''</font> | ||
|align = "right"|<font size = "4">'''0'''</font> | |align = "right"|<font size = "4">'''0'''</font> | ||
| − | |align = "right"|<font size = "4">''' | + | |align = "right"|<font size = "4">'''0'''</font> |
|<font size = "4">'''Längen, Flächeninhalt und Volumen'''</font> | |<font size = "4">'''Längen, Flächeninhalt und Volumen'''</font> | ||
|colspan = "5"|''' ''' | |colspan = "5"|''' ''' | ||
| Zeile 540: | Zeile 547: | ||
|align = "right"|<font size = "4">'''5'''</font> | |align = "right"|<font size = "4">'''5'''</font> | ||
|align = "right"|<font size = "4">'''0'''</font> | |align = "right"|<font size = "4">'''0'''</font> | ||
| − | |align = "right"|<font size = "4">''' | + | |align = "right"|<font size = "4">'''0'''</font> |
|<font size = "4">'''Größen im Alltag'''</font> | |<font size = "4">'''Größen im Alltag'''</font> | ||
|colspan = "5"|''' ''' | |colspan = "5"|''' ''' | ||
| Zeile 574: | Zeile 581: | ||
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
|'''Umgang mit Daten und Diagrammen''' | |'''Umgang mit Daten und Diagrammen''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|'''3''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''1''' | ||
| + | |'''Mittelwerte''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|'''3''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''2''' | ||
| + | |'''Streuungsmaße''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|'''3''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''3''' | ||
| + | |'''Statistik mit Tabellenkalkulation''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|'''3''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''4''' | ||
| + | |'''So lügt man mit Statistik''' | ||
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.213: | Zeile 1.252: | ||
|align = "right"|'''4''' | |align = "right"|'''4''' | ||
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |'''Flächeninhalt''' | + | |'''Flächeninhalt und Umfang''' |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.238: | Zeile 1.277: | ||
|align = "right"|3 | |align = "right"|3 | ||
|Vieleck | |Vieleck | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|2 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|4 | ||
| + | |Kreis | ||
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.253: | Zeile 1.300: | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|1 | |align = "right"|1 | ||
| − | | | + | |Geometrische Grundkonstruktionen |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.261: | Zeile 1.308: | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|2 | |align = "right"|2 | ||
| − | | | + | |Symmetrische Figuren und Konstruktionen |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.269: | Zeile 1.316: | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|3 | |align = "right"|3 | ||
| − | | | + | |Achsenspiegelung |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.277: | Zeile 1.324: | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|4 | |align = "right"|4 | ||
| − | | | + | |Punktspiegelung |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.285: | Zeile 1.332: | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|5 | |align = "right"|5 | ||
| − | | | + | |Parallelverschiebung |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.293: | Zeile 1.340: | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|6 | |align = "right"|6 | ||
| + | |Drehung | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|2 | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|7 | ||
|Lösung geometrischer Probleme mithilfe von Abbildungen | |Lösung geometrischer Probleme mithilfe von Abbildungen | ||
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.349: | Zeile 1.404: | ||
|align = "right"|'''7''' | |align = "right"|'''7''' | ||
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |''' | + | |'''Anordnungen und Muster''' |
| − | |colspan = "5"| | + | |colspan = "5"| |
| + | |||
| + | |- | ||
| + | |align = "right"|'''5''' | ||
| + | |align = "right"|'''2''' | ||
| + | |align = "right"|'''8''' | ||
| + | |align = "right"|'''0''' | ||
| + | |'''Satzgruppe des Pythagoras''' | ||
| + | |colspan = "5"| | ||
|- | |- | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|2 | |align = "right"|2 | ||
| − | |align = "right"| | + | |align = "right"|8 |
|align = "right"|1 | |align = "right"|1 | ||
| − | | | + | |Grundaufgaben |
| − | |colspan = "5"| | + | |colspan = "5"| |
|- | |- | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|2 | |align = "right"|2 | ||
| − | |align = "right"| | + | |align = "right"|8 |
|align = "right"|2 | |align = "right"|2 | ||
| − | | | + | |Beweise |
| − | |colspan = "5"| | + | |colspan = "5"| |
|- | |- | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|2 | |align = "right"|2 | ||
| − | |align = "right"| | + | |align = "right"|8 |
|align = "right"|3 | |align = "right"|3 | ||
| − | | | + | |Höhensatz |
| − | |colspan = "5"| | + | |colspan = "5"| |
|- | |- | ||
|align = "right"|5 | |align = "right"|5 | ||
|align = "right"|2 | |align = "right"|2 | ||
| − | |align = "right"| | + | |align = "right"|8 |
|align = "right"|4 | |align = "right"|4 | ||
| − | | | + | |Kathetensatz |
|colspan = "5"| | |colspan = "5"| | ||
|- | |- | ||
| − | |align = "right"| | + | |align = "right"|5 |
| − | |align = "right"| | + | |align = "right"|2 |
| − | |align = "right"| | + | |align = "right"|8 |
| − | |align = "right"| | + | |align = "right"|5 |
| − | | | + | |Anwendungen |
|colspan = "5"| | |colspan = "5"| | ||
|- | |- | ||
| − | |align = "right"| | + | |align = "right"|5 |
| − | |align = "right"| | + | |align = "right"|2 |
| − | |align = "right"| | + | |align = "right"|8 |
| − | |align = "right"| | + | |align = "right"|6 |
| − | | | + | |Pythagoras im Raum |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.403: | Zeile 1.466: | ||
|align = "right"|'''5''' | |align = "right"|'''5''' | ||
|align = "right"|'''2''' | |align = "right"|'''2''' | ||
| − | |align = "right"|''' | + | |align = "right"|'''9''' |
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
|'''Trigonometrie''' | |'''Trigonometrie''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|2 | ||
| + | |align = "right"|9 | ||
| + | |align = "right"|1 | ||
| + | |Rechtwinklige Dreiecke | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|2 | ||
| + | |align = "right"|9 | ||
| + | |align = "right"|2 | ||
| + | |Sinussatz und Kosinussatz | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|2 | ||
| + | |align = "right"|9 | ||
| + | |align = "right"|3 | ||
| + | |Anwendungen | ||
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.421: | Zeile 1.508: | ||
|align = "right"|'''1''' | |align = "right"|'''1''' | ||
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |'''Geometrische | + | |'''Geometrische Körper''' |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.502: | Zeile 1.589: | ||
|align = "right"|3 | |align = "right"|3 | ||
|Zylinder, Kegel, Kugel | |Zylinder, Kegel, Kugel | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|<font size = "4">'''5'''</font> | ||
| + | |align = "right"|<font size = "4">'''4'''</font> | ||
| + | |align = "right"|<font size = "4">'''0'''</font> | ||
| + | |align = "right"|<font size = "4">'''0'''</font> | ||
| + | |<font size = "4">'''Analytische Geometrie'''</font> | ||
|colspan = "5"| | |colspan = "5"| | ||
|- | |- | ||
|align = "right"|'''5''' | |align = "right"|'''5''' | ||
| + | |align = "right"|'''4''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''0''' | ||
| + | |'''Vektoren''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |||
| + | |- | ||
| + | |align = "right"|'''5''' | ||
| + | |align = "right"|'''4''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''1''' | ||
| + | |'''Vektoren in der Ebene''' | ||
| + | |colspan = "5"| | ||
| + | |- | ||
| + | |align = "right"|'''5''' | ||
| + | |align = "right"|'''4''' | ||
| + | |align = "right"|'''1''' | ||
| + | |align = "right"|'''2''' | ||
| + | |'''Vektoren im Raum''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|'''5''' | ||
| + | |align = "right"|'''4''' | ||
| + | |align = "right"|'''1''' | ||
|align = "right"|'''3''' | |align = "right"|'''3''' | ||
| − | |align = "right"|''' | + | |'''lineare Abhängigkeit von Vektoren''' |
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|'''5''' | ||
| + | |align = "right"|'''4''' | ||
| + | |align = "right"|'''4''' | ||
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |''' | + | |'''Geraden, Ebenen und Kugeln''' |
|colspan = "5"| | |colspan = "5"| | ||
|- | |- | ||
|align = "right"|5 | |align = "right"|5 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|1 | ||
| + | |Geraden | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|2 | ||
| + | |Ebenen | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|4 | ||
|align = "right"|3 | |align = "right"|3 | ||
| − | |align = "right"| | + | |Kugeln |
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|'''5''' | ||
| + | |align = "right"|'''4''' | ||
| + | |align = "right"|'''5''' | ||
| + | |align = "right"|'''0''' | ||
| + | |'''Längen, Winkel, Abstände''' | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|5 | ||
|align = "right"|1 | |align = "right"|1 | ||
| − | | | + | |Betrag eines Vektors |
|colspan = "5"| | |colspan = "5"| | ||
|- | |- | ||
| − | |align = "right"| | + | |align = "right"|5 |
| − | |align = "right"| | + | |align = "right"|4 |
| − | |align = "right"| | + | |align = "right"|5 |
| − | |align = "right"| | + | |align = "right"|2 |
| − | | | + | |Skalarprodukt |
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|3 | ||
| + | |Winkel | ||
| + | |colspan = "5"| | ||
| + | |||
| + | |- | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|4 | ||
| + | |align = "right"|5 | ||
| + | |align = "right"|4 | ||
| + | |Abstände | ||
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.531: | Zeile 1.706: | ||
|align = "right"|'''5''' | |align = "right"|'''5''' | ||
|align = "right"|'''4''' | |align = "right"|'''4''' | ||
| − | |align = "right"|''' | + | |align = "right"|'''6''' |
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |''' | + | |'''Vektorprodukt''' |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.539: | Zeile 1.714: | ||
|align = "right"|'''5''' | |align = "right"|'''5''' | ||
|align = "right"|'''4''' | |align = "right"|'''4''' | ||
| − | |align = "right"|''' | + | |align = "right"|'''7''' |
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |''' | + | |'''Abbildungsmatrizen''' |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.547: | Zeile 1.722: | ||
|align = "right"|'''5''' | |align = "right"|'''5''' | ||
|align = "right"|'''4''' | |align = "right"|'''4''' | ||
| − | |align = "right"|''' | + | |align = "right"|'''8''' |
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |''' | + | |'''Nichtlineare analytische Geometrie''' |
|colspan = "5"| | |colspan = "5"| | ||
| Zeile 1.589: | Zeile 1.764: | ||
|align = "right"|'''2''' | |align = "right"|'''2''' | ||
|align = "right"|'''0''' | |align = "right"|'''0''' | ||
| − | |'''Definieren, Beweisen, | + | |'''Definieren, Beweisen, Wiederlegen''' |
|colspan = "5"|''' ''' | |colspan = "5"|''' ''' | ||
| Zeile 1.751: | Zeile 1.926: | ||
|<font size = "4">'''Software'''</font> | |<font size = "4">'''Software'''</font> | ||
|colspan = "5"|''' ''' | |colspan = "5"|''' ''' | ||
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|} | |} | ||
[[Kategorie:Mathematik-digital| !]] | [[Kategorie:Mathematik-digital| !]] | ||
Aktuelle Version vom 25. Juni 2008, 19:49 Uhr
| 1 | 0 | 0 | 0 | Zahl | Bemerkungen | ||||
| 1 | 1 | 0 | 0 | Zahlbereiche | |||||
| 1 | 1 | 1 | 0 | Natürliche Zahlen | |||||
| 1 | 1 | 1 | 1 | Teilbarkeit | |||||
| 1 | 1 | 1 | 2 | Zahlensysteme | |||||
| 1 | 1 | 1 | 3 | Große Zahlen | |||||
| 1 | 1 | 1 | 4 | Addition | |||||
| 1 | 1 | 1 | 5 | Subtraktion | |||||
| 1 | 1 | 1 | 6 | Multiplikation | |||||
| 1 | 1 | 1 | 7 | Division | |||||
| 1 | 1 | 1 | 8 | Verbindung der vier Grundrechenarten | |||||
| 1 | 1 | 1 | 9 | Potenzbegriff | |||||
| 1 | 1 | 1 | 10 | Muster erkennen | |||||
| 1 | 1 | 2 | 0 | Ganze Zahlen | |||||
| 1 | 1 | 2 | 1 | Addition | |||||
| 1 | 1 | 2 | 2 | Subtraktion | |||||
| 1 | 1 | 2 | 3 | Multiplikation | |||||
| 1 | 1 | 2 | 4 | Division | |||||
| 1 | 1 | 2 | 5 | Verbindung der vier Grundrechenarten | |||||
| 1 | 1 | 3 | 0 | Rationale Zahlen | |||||
| 1 | 1 | 3 | 1 | Bruchteile | |||||
| 1 | 1 | 3 | 2 | Erweitern und Kürzen | |||||
| 1 | 1 | 3 | 3 | Vergleichen von Bruchzahlen | |||||
| 1 | 1 | 3 | 4 | Addition und Subtraktion von Bruchzahlen | |||||
| 1 | 1 | 3 | 5 | Multiplikation und Division von Bruchzahlen | |||||
| 1 | 1 | 3 | 6 | Verbindung der vier Grundrechenarten | |||||
| 1 | 1 | 3 | 7 | Dezimalbrüche | |||||
| 1 | 1 | 3 | 8 | Rechnen mit Dezimalbrüchen | |||||
| 1 | 1 | 4 | 0 | Reelle Zahlen | |||||
| 1 | 1 | 4 | 1 | Einführung der Reellen Zahlen | |||||
| 1 | 1 | 4 | 2 | Rechnen mit Wurzeln | |||||
| 1 | 1 | 5 | 0 | Komplexe Zahlen | |||||
| 1 | 1 | 5 | 1 | Einführung | |||||
| 1 | 1 | 5 | 2 | Anwendung | |||||
| 1 | 2 | 0 | 0 | Terme und Gleichungen | |||||
| 1 | 2 | 1 | 0 | Variablen und Terme | |||||
| 1 | 2 | 1 | 1 | Grundbegriffe | |||||
| 1 | 2 | 1 | 2 | Aufstellen von Termen | |||||
| 1 | 2 | 1 | 3 | Auflösen von Termen | |||||
| 1 | 2 | 1 | 4 | Ausklammern | |||||
| 1 | 2 | 1 | 5 | Multiplikation von Summen | |||||
| 1 | 2 | 1 | 6 | Binomische Formeln | |||||
| 1 | 2 | 2 | 0 | Gleichungen und Ungleichungen | |||||
| 1 | 2 | 2 | 1 | Aufstellen von Gleichungen | |||||
| 1 | 2 | 2 | 2 | Lineare Gleichungen | |||||
| 1 | 2 | 2 | 3 | Quadratische Gleichungen | |||||
| 1 | 2 | 2 | 4 | Bruchgleichungen | |||||
| 1 | 2 | 2 | 5 | Weitere Gleichungen | |||||
| 1 | 2 | 2 | 6 | Ungleichungen | |||||
| 1 | 2 | 3 | 0 | Gleichungs- und Ungleichungssysteme | |||||
| 1 | 2 | 3 | 1 | Lösen von Gleichungssystemen | |||||
| 1 | 2 | 3 | 2 | Lösen von Ungleichungssystemen | |||||
| 1 | 2 | 3 | 3 | Anwendungen | |||||
| 1 | 3 | 0 | 0 | Potenzen und Wurzeln | |||||
| 1 | 3 | 1 | 0 | Rechnen mit Potenzen | |||||
| 1 | 3 | 1 | 1 | Zehnerpotenzen | |||||
| 1 | 3 | 1 | 2 | Potenzen mit natürlichen Exponenten | |||||
| 1 | 3 | 1 | 3 | Potenzen mit ganzen und rationalen Exponenten | |||||
| 1 | 3 | 1 | 4 | Polynomdivision | |||||
| 1 | 3 | 2 | 0 | Rechnen mit Wurzeln | |||||
| 1 | 3 | 2 | 1 | Einführung | |||||
| 1 | 3 | 2 | 2 | Rechenregeln für Wurzeln | |||||
| 2 | 0 | 0 | 0 | Messen und Größen | |||||
| 2 | 1 | 0 | 0 | Messen von Größen | |||||
| 2 | 2 | 0 | 0 | Umwandeln von Einheiten | |||||
| 2 | 3 | 0 | 0 | Rechnen mit Größen | |||||
| 2 | 4 | 0 | 0 | Längen, Flächeninhalt und Volumen | |||||
| 2 | 5 | 0 | 0 | Größen im Alltag | |||||
| 3 | 0 | 0 | 0 | Daten und Zufall | |||||
| 3 | 1 | 0 | 1 | Beschreibende Statistik | |||||
| 3 | 1 | 1 | 0 | Umgang mit Daten und Diagrammen | |||||
| 3 | 1 | 1 | 1 | Mittelwerte | |||||
| 3 | 1 | 1 | 2 | Streuungsmaße | |||||
| 3 | 1 | 1 | 3 | Statistik mit Tabellenkalkulation | |||||
| 3 | 1 | 1 | 4 | So lügt man mit Statistik | |||||
| 3 | 2 | 0 | 0 | Kombinatorik | |||||
| 3 | 2 | 1 | 0 | Zählprinzip | |||||
| 3 | 2 | 2 | 0 | Binomialkoeffizient | |||||
| 3 | 3 | 0 | 0 | Wahrscheinlichkeitsbegriff und Zufallsgröße | |||||
| 3 | 3 | 1 | 0 | Grundlagen | |||||
| 3 | 3 | 2 | 0 | Verteilungen | |||||
| 3 | 3 | 2 | 1 | Binomialverteilung | |||||
| 3 | 3 | 2 | 2 | Normalverteilung | |||||
| 3 | 3 | 2 | 3 | Weitere Verteilungen | |||||
| 3 | 4 | 0 | 0 | Zufallsexperiment | |||||
| 3 | 4 | 1 | 0 | Laplace-Experimente | |||||
| 3 | 4 | 2 | 0 | Mehrstufige Zufallsexperimente | |||||
| 3 | 4 | 3 | 0 | Bedingte Wahrscheinlichkeit | |||||
| 3 | 5 | 0 | 0 | Prozesse | |||||
| 3 | 5 | 1 | 0 | Prozessmatrizen | |||||
| 3 | 5 | 2 | 0 | Markowketten | |||||
| 3 | 6 | 0 | 0 | Testen von Hypothesen | |||||
| 3 | 6 | 1 | 0 | Einseitige Tests | |||||
| 3 | 6 | 2 | 0 | Zweiseitige Tests | |||||
| 3 | 6 | 3 | 0 | Konfidenzintervalle | |||||
| 4 | 0 | 0 | 0 | Funktionale Abhängigkeit | |||||
| 4 | 1 | 0 | 0 | Zuordnungen | |||||
| 4 | 2 | 0 | 0 | Proportionalitäten | |||||
| 4 | 2 | 1 | 0 | Direkte Proportionalität | |||||
| 4 | 2 | 2 | 0 | Indirekte Proportionalität | |||||
| 4 | 3 | 0 | 0 | Darstellung von Funktionen | |||||
| 4 | 3 | 1 | 0 | Funktion und Wertetabelle | |||||
| 4 | 3 | 2 | 0 | Funktion und Graph | |||||
| 4 | 3 | 3 | 0 | Funktion und Term | |||||
| 4 | 4 | 0 | 0 | Eigenschaften von Funktionen | |||||
| 4 | 4 | 1 | 0 | Symmetrie | |||||
| 4 | 4 | 2 | 0 | Grenzwerte | |||||
| 4 | 4 | 3 | 0 | Stetigkeit | |||||
| 4 | 5 | 0 | 0 | Differenzialrechnung | |||||
| 4 | 5 | 1 | 0 | Differenzierbarkeit | |||||
| 4 | 5 | 1 | 1 | Ableitungsregeln | |||||
| 4 | 5 | 1 | 2 | Bedeutung der Ableitung | |||||
| 4 | 5 | 2 | 0 | Kurvendiskussion | |||||
| 4 | 5 | 2 | 1 | Anwendungsaufgaben | |||||
| 4 | 5 | 2 | 2 | Extremwertaufgaben | |||||
| 4 | 5 | 2 | 3 | Steckbriefaufgaben | |||||
| 4 | 5 | 2 | 4 | Weitere Aufgaben | |||||
| 4 | 6 | 0 | 0 | Integralrechnung | |||||
| 4 | 6 | 1 | 0 | Herleitung | |||||
| 4 | 6 | 2 | 0 | Stammfunktionen | |||||
| 4 | 6 | 3 | 0 | Anwendung | |||||
| 4 | 7 | 0 | 0 | Differentialgleichungen | |||||
| 4 | 7 | 1 | 0 | Einführung | |||||
| 4 | 7 | 2 | 0 | Lösungsverfahren | |||||
| 4 | 7 | 3 | 0 | Anwendungen | |||||
| 4 | 8 | 0 | 0 | Klassen von Funktionen | |||||
| 4 | 8 | 1 | 0 | Lineare Funktionen | |||||
| 4 | 8 | 2 | 0 | Quadratische Funktionen | |||||
| 4 | 8 | 3 | 0 | Gebrochenrationale Funktionen | |||||
| 4 | 8 | 4 | 0 | Potenzfunktion | |||||
| 4 | 8 | 5 | 0 | Wurzelfunktion | |||||
| 4 | 8 | 6 | 0 | Exponentialfunktion | |||||
| 4 | 8 | 7 | 0 | Logarithmusfunktion | |||||
| 4 | 8 | 8 | 0 | Trigonometrische Funktionen | |||||
| 4 | 9 | 0 | 0 | Folgen und Reihen | |||||
| 4 | 9 | 1 | 0 | Folgen | |||||
| 4 | 9 | 2 | 0 | Reihen | |||||
| 4 | 9 | 3 | 0 | Grenzwerte | |||||
| 4 | 9 | 4 | 0 | Rekursion | |||||
| 5 | 0 | 0 | 0 | Geometrie | |||||
| 5 | 1 | 0 | 0 | Geometrische Grundbegriffe | |||||
| 5 | 1 | 1 | 0 | Punkt, Strecke, Gerade | |||||
| 5 | 1 | 2 | 0 | Koordinatensystem | |||||
| 5 | 1 | 3 | 0 | Winkel | |||||
| 5 | 2 | 0 | 0 | Geometrie in der Ebene | |||||
| 5 | 2 | 1 | 0 | Grundbegriffe der ebenen Geometrie | |||||
| 5 | 2 | 2 | 0 | Geometrische Figuren | |||||
| 5 | 2 | 2 | 1 | Dreieck | |||||
| 5 | 2 | 3 | 2 | Viereck | |||||
| 5 | 2 | 3 | 3 | Kreis | |||||
| 5 | 2 | 3 | 4 | Winkel am Kreis | |||||
| 5 | 2 | 3 | 5 | Geometrische Ortslinien und Ortsbereiche | |||||
| 5 | 2 | 4 | 0 | Flächeninhalt und Umfang | |||||
| 5 | 2 | 4 | 1 | Dreieck | |||||
| 5 | 2 | 4 | 2 | Viereck | |||||
| 5 | 2 | 4 | 3 | Vieleck | |||||
| 5 | 2 | 4 | 4 | Kreis | |||||
| 5 | 2 | 5 | 0 | Geometrische Grundkonstruktionen und Abbildungen | |||||
| 5 | 2 | 5 | 1 | Geometrische Grundkonstruktionen | |||||
| 5 | 2 | 5 | 2 | Symmetrische Figuren und Konstruktionen | |||||
| 5 | 2 | 5 | 3 | Achsenspiegelung | |||||
| 5 | 2 | 5 | 4 | Punktspiegelung | |||||
| 5 | 2 | 5 | 5 | Parallelverschiebung | |||||
| 5 | 2 | 5 | 6 | Drehung | |||||
| 5 | 2 | 5 | 7 | Lösung geometrischer Probleme mithilfe von Abbildungen | |||||
| 5 | 2 | 6 | 0 | Kongruenz und Ähnlichkeit | |||||
| 5 | 2 | 6 | 1 | Kongruenz | |||||
| 5 | 2 | 6 | 2 | Ähnlichkeit | |||||
| 5 | 2 | 6 | 3 | Zentrische Streckung | |||||
| 5 | 2 | 6 | 4 | Strahlensatz | |||||
| 5 | 2 | 6 | 5 | Ähnlichkeit von Dreiecken | |||||
| 5 | 2 | 7 | 0 | Anordnungen und Muster | |||||
| 5 | 2 | 8 | 0 | Satzgruppe des Pythagoras | |||||
| 5 | 2 | 8 | 1 | Grundaufgaben | |||||
| 5 | 2 | 8 | 2 | Beweise | |||||
| 5 | 2 | 8 | 3 | Höhensatz | |||||
| 5 | 2 | 8 | 4 | Kathetensatz | |||||
| 5 | 2 | 8 | 5 | Anwendungen | |||||
| 5 | 2 | 8 | 6 | Pythagoras im Raum | |||||
| 5 | 2 | 9 | 0 | Trigonometrie | |||||
| 5 | 2 | 9 | 1 | Rechtwinklige Dreiecke | |||||
| 5 | 2 | 9 | 2 | Sinussatz und Kosinussatz | |||||
| 5 | 2 | 9 | 3 | Anwendungen | |||||
| 5 | 3 | 0 | 0 | Geometrie im Raum | |||||
| 5 | 3 | 1 | 0 | Geometrische Körper | |||||
| 5 | 3 | 1 | 1 | Prisma | |||||
| 5 | 3 | 1 | 2 | Pyramide | |||||
| 5 | 3 | 1 | 3 | Zylinder | |||||
| 5 | 3 | 1 | 4 | Kegel | |||||
| 5 | 3 | 1 | 5 | Kugel | |||||
| 5 | 3 | 1 | 6 | Sonstige Körper | |||||
| 5 | 3 | 2 | 0 | Volumen und Oberflächen | |||||
| 5 | 3 | 2 | 1 | Prisma | |||||
| 5 | 3 | 2 | 2 | Pyramide | |||||
| 5 | 3 | 2 | 3 | Zylinder, Kegel, Kugel | |||||
| 5 | 4 | 0 | 0 | Analytische Geometrie | |||||
| 5 | 4 | 1 | 0 | Vektoren |
| ||||
| 5 | 4 | 1 | 1 | Vektoren in der Ebene | |||||
| 5 | 4 | 1 | 2 | Vektoren im Raum | |||||
| 5 | 4 | 1 | 3 | lineare Abhängigkeit von Vektoren | |||||
| 5 | 4 | 4 | 0 | Geraden, Ebenen und Kugeln | |||||
| 5 | 4 | 4 | 1 | Geraden | |||||
| 5 | 4 | 4 | 2 | Ebenen | |||||
| 5 | 4 | 4 | 3 | Kugeln | |||||
| 5 | 4 | 5 | 0 | Längen, Winkel, Abstände | |||||
| 5 | 4 | 5 | 1 | Betrag eines Vektors | |||||
| 5 | 4 | 5 | 2 | Skalarprodukt | |||||
| 5 | 4 | 5 | 3 | Winkel | |||||
| 5 | 4 | 5 | 4 | Abstände | |||||
| 5 | 4 | 6 | 0 | Vektorprodukt | |||||
| 5 | 4 | 7 | 0 | Abbildungsmatrizen | |||||
| 5 | 4 | 8 | 0 | Nichtlineare analytische Geometrie | |||||
| 6 | 0 | 0 | 0 | Sonderthemen | |||||
| 6 | 1 | 0 | 0 | Mathematische Grundlagen | |||||
| 6 | 1 | 1 | 0 | Aussagelogik | |||||
| 6 | 1 | 2 | 0 | Definieren, Beweisen, Wiederlegen | |||||
| 6 | 2 | 0 | 0 | Boolsche Algebra | |||||
| 6 | 3 | 0 | 0 | Finanzmathematik | |||||
| 6 | 3 | 1 | 0 | Kosten- und Preistheorie | |||||
| 6 | 3 | 2 | 0 | Kurs- und Rentabilitätsrechnung | |||||
| 6 | 3 | 3 | 0 | Investitionsrechnung | |||||
| 6 | 3 | 4 | 0 | Aktienanalyse | |||||
| 6 | 3 | 5 | 0 | Dynamische Prozesse | |||||
| 6 | 3 | 6 | 0 | Simulation wirtschaftlicher Modelle | |||||
| 6 | 4 | 0 | 0 | Simulation dynamischer Systeme | |||||
| 6 | 5 | 0 | 0 | Codierungstheorie und Kryptographie | |||||
| 6 | 6 | 0 | 0 | Prüfungen und Schülerarbeiten | |||||
| 6 | 6 | 1 | 0 | Abituraufgaben | |||||
| 6 | 6 | 2 | 0 | Matura | |||||
| 6 | 6 | 3 | 0 | Abschlussprüfung Gruppe I | |||||
| 6 | 6 | 4 | 0 | Abschlussprüfung Gruppe II/III | |||||
| 6 | 6 | 5 | 0 | Facharbeiten | |||||
| 6 | 7 | 0 | 0 | Wettbewerbe und Denksport | |||||
| 6 | 7 | 1 | 0 | Denksport | |||||
| 6 | 7 | 2 | 0 | Wettbewerbe | |||||
| 6 | 8 | 0 | 0 | Software | |||||
