Zuletzt geändert von Martin Rathgeb am 2025/04/06 23:13

Von Version 77.1
bearbeitet von Holger Engels
am 2024/11/24 10:34
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Auf Version 70.1
bearbeitet von Holger Engels
am 2024/11/22 09:02
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Inhalt
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1 -{{seiteninhalt/}}
1 +{{box cssClass="floatinginfobox" title="**Contents**"}}
2 +{{toc start=2 depth=2 /}}
3 +{{/box}}
2 2  
5 +=== Kompetenzen ===
6 +
3 3  [[Kompetenzen.K5]] Ich kann den passenden Ansatz für die Ermittlung eines Funktionsterms anhand gegebener Bedingungen bestimmen
4 4  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann den Funktionsterm anhand verbal gegebener Bedingungen aufstellen
5 5  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann den Funktionsterm anhand tabellarisch gegebener Bedingungen aufstellen
6 6  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann den Funktionsterm anhand eines Schaubilds aufstellen
7 7  
8 -{{aufgabe id="Änderungen sind bemerkenswert" afb="I" kompetenzen="K2, K4, K5" quelle="Martin Rathgeb, Martin Stern" zeit="" cc="by-sa"}}
12 +{{aufgabe id="Änderungen sind bemerkenswert" afb="I" kompetenzen="K2, K4, K5" quelle="Martin Rathgeb, Martin Stern" zeit="" cc="" }}
9 9  (% class="border slim" %)
10 10  Liegen die Punkte auf einer Parabel?
11 11  (% class="border slim" %)
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14 14  |{{formula}}f_2(x){{/formula}}|1|3|5
15 15  {{/aufgabe}}
16 16  
17 -{{aufgabe id="Parabel aus zwei Punktproben mit Zusatzinformation" afb="II" kompetenzen="K2, K4, K5" quelle="Martin Rathgeb, Martin Stern" zeit="" cc="by-sa"}}
21 +{{aufgabe id="Parabel aus zwei Punktproben mit Zusatzinformation" afb="II" kompetenzen="K2, K4, K5" quelle="Martin Rathgeb, Martin Stern" zeit="" cc="" }}
18 18  //Scheitel(punkts)form.// Bestimme aus folgenden Wertetabellen (je zwei Wertepaare) mit Zusatzinformation jeweils die quadratische Funktion.
19 19  (% class="border slim" %)
20 20  |{{formula}}x{{/formula}}|1|3|
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24 24  |{{formula}}f_4(x){{/formula}}|2|1|{{formula}}y_s=2{{/formula}}
25 25  {{/aufgabe}}
26 26  
27 -{{aufgabe id="Parabel aus drei Punktproben" afb="II" kompetenzen="K2, K4, K5" quelle="Martin Rathgeb, Martin Stern" zeit="" cc="by-sa"}}
31 +{{aufgabe id="Parabel aus drei Punktproben" afb="II" kompetenzen="K2, K4, K5" quelle="Martin Rathgeb, Martin Stern" zeit="" cc="" }}
28 28  //Haupt-, Scheitel(punkts)-, Produktform.// Bestimme aus folgenden Wertetabellen (je drei Wertepaare) jeweils die quadratische Funktion.
29 29  (% class="border slim" %)
30 30  |{{formula}}x{{/formula}}|1|2|3
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34 34  |{{formula}}f_4(x){{/formula}}|-2|0|-2
35 35  {{/aufgabe}}
36 36  
37 -{{aufgabe id="Produktdarstellung" afb="I" kompetenzen="K1, K4, K5" quelle="Miriam Erdmann" zeit="5" cc="" }}
41 +{{aufgabe id="Produktdarstellung" afb="I" kompetenzen="K4, K5" quelle="Miriam Erdmann" zeit="5" cc="" }}
38 38  Gegeben ist das Schaubild der Funktion f mit {{formula}}f(x)=0,2(x-1)(x+2)(x-4){{/formula}}.
39 39  Triff mindestens vier Aussagen über das Schaubild und begründe, weshalb diese ausreichen, um einen Ansatz für die Ermittlung eines Funktionsterms zu bestimmen.
40 40  [[image:Schaubild Aufgabe 1.png||width=40%]]
41 41  {{/aufgabe}}
42 42  
43 -{{aufgabe id="Bedingungen zum Aufstellen" afb="II" kompetenzen="K4, K5" quelle="Miriam Erdmann" zeit="7" cc="by-sa"}}
47 +{{aufgabe id="Aussagen über das Schaubild einer Funktion treffen" afb="II" kompetenzen="K4, K5" quelle="Miriam Erdmann" zeit="" cc="" }}
44 44  Gegeben sind die Schaubilder dreier Funktionen. Gib jeweils den Grad der zugehörigen Funktion sowie notwendige Bedingungen zum Aufstellen des Funktionsterms an.
45 - [[image:Bedingungen f.svg||width=30%]] [[image:Bedingungen g.svg||width=30%]] [[image:Bedingungen h.svg||width=30%]]
49 + [[image:Schaubild 1 Aufgabe 2.png||width=30%]] [[image:Schaubild 2 Aufgabe 2.png||width=30%]] [[image:Schaubild 3 Aufgabe 2.png||width=30%]]
46 46  {{/aufgabe}}
47 47  
48 -{{aufgabe id="Funktionstermbestimmung bei Polynomfunktionen" afb="II" kompetenzen="K4, K5" quelle="Niklas Wunder, Martin Stern" zeit="" cc="by-sa"}}
52 +{{aufgabe id="Funktionstermbestimmung bei Polynomfunktionen" afb="II" kompetenzen="K4, K5" quelle="Niklas Wunder, Martin Stern" zeit="" cc="" }}
49 49  Bestimme einen Funktionsterm einer Polynomfunktion mit den folgenden Eigenschaften:
50 50  a) Das Schaubild hat bei {{formula}}x=1{{/formula}} eine sechsfache Nullstelle und schneidet die y-Achse an der Stelle 4.
51 51  b) Das Schaubild hat bei {{formula}}x=-4{{/formula}} eine einfache, bei {{formula}}x=-2{{/formula}} eine doppelte und bei {{formula}}x=3{{/formula}} eine dreifache Nullstelle. Außerdem schneidet es die y-Achse bei {{formula}}y=27{{/formula}}.
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52 52  c) Das Schaubild ist symmetrisch zur y-Achse und geht durch {{formula}}P(2|10){{/formula}} und {{formula}}Q(0|0){{/formula}}.
53 53  d) Das Schaubild verläuft punktsymmetrisch zum Ursprung. Es hat eine einfache Nullstelle bei {{formula}}x=4{{/formula}} und eine doppelte Nullstelle bei {{formula}}x=-3{{/formula}}.
54 54  {{/aufgabe}}
55 -
56 -{{seitenreflexion}}
Bedingungen f.svg
Author
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1 -XWiki.holgerengels
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