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Zuletzt geändert von majaseiboth am 2025/11/18 08:17
Von Version 29.1
bearbeitet von Bastian Knöpfle
am 2025/11/17 15:02
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Auf Version 33.1
bearbeitet von Holger Engels
am 2025/11/18 07:50
Änderungskommentar: Neues Bild Arithmagon Parabel Formen.svg hochladen

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Dokument-Autor
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1 -XWiki.bastianknoepfle
1 +XWiki.holgerengels
Inhalt
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5 5  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann grafisch und rechnerisch den Scheitelpunkt und die Achsenschnittpunkte von Parabeln ermitteln.
6 6  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann Gleichungen von Parabeln in Scheitel- oder gegebenenfalls Linearfaktorform bestimmen.
7 7  
8 -{{aufgabe id="Scheitelpunkt " afb="II" kompetenzen="K3,K4,K5" quelle="Slavko Lamp, Bastian Knöpfle" zeit="8" cc="by-sa"}}
8 +{{aufgabe id="Scheitelpunkt " afb="I" kompetenzen="K3,K4,K5" quelle="Slavko Lamp, Bastian Knöpfle" zeit="8" cc="by-sa"}}
9 9  
10 10  (%class=abc%)
11 11  1. Eine nach oben geöffnete Parabel mit dem Scheitelpunkt P(3|4) schneidet die x-Achse nicht.
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14 14  Gib eine mögliche Funktionsgleichung in Scheitelform und Linearfaktorform an.
15 15  {{/aufgabe}}
16 16  
17 +{{aufgabe id="Arithmagon Parabel Formen" afb="I" kompetenzen="K4, K5" quelle="Martina Wagner" zeit="5"}}
18 +Ermittle, welche Zahlen in die leeren Kästchen in den Parabelgleichungen eingetragen werden müssen. Gib in den blauen Kästchen an, wie man von der einen zur anderen Darstellungsform kommt.
19 +[[image:Arithmagon Parabel Formen.svg||width=500 style=float:left]]
20 +{{/aufgabe}}
21 +
17 17  {{aufgabe id="Verfahrensauswahl" afb="II" kompetenzen="K1,K4,K5" quelle="Simone Hochrein" zeit="11" cc="by-sa" tags=""}}
18 18  Je nach Art der gegebenen Informationen ist die Scheitelform oder die Linearfaktorform besonders geeignet zum Aufstellen der Funktionsgleichung. Begründe jeweils, welche Form bei den im Folgenden gegebenen Informationen zum Aufstellen der Funktionsgleichung geeignet ist.
19 19  (%class=abc%)
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55 55  {{formula}}f(2) = {{/formula}}
56 56  1. An welchen Stellen gilt {{formula}}y = 4{{/formula}}?
57 57  1. Gib die zugehörigen Gleichungen der Funktion an.
58 -
59 -{{lehrende}}
63 +{{comment}}
60 60  **Sinn dieser Aufgabe:**
61 61  Umgang mit Diagrammen
62 -{{/lehrende}}
66 +{{/comment}}
63 63  {{/aufgabe}}
64 64  
65 -{{seitenreflexion bildungsplan="3" kompetenzen="3" anforderungsbereiche="3" kriterien="5" menge="3"/}}
69 +{{seitenreflexion bildungsplan="5" kompetenzen="4" anforderungsbereiche="5" kriterien="5" menge="5"/}}
Arithmagon Parabel Formen.svg
Author
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1 +XWiki.holgerengels
Größe
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1 +18.9 KB
Inhalt
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