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Zuletzt geändert von Holger Engels am 2026/10/17 14:38
Von Version 43.1
bearbeitet von Holger Engels
am 2026/09/18 21:45
Änderungskommentar: Neuen Anhang Photovoltaik.ggb hochladen
Auf Version 28.3
bearbeitet von Holger Engels
am 2026/02/27 14:55
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

Seiteneigenschaften
Inhalt
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12 12  Siehe dazu [[Rekonstruktion einer Größe>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Rekonstruktion%20einer%20Gr%C3%B6%C3%9Fe]] und [[Obersumme/Untersumme interaktiv>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Obersumme%20und%20Untersumme#erkunden]]
13 13  {{/lernende}}
14 14  
15 ---Deu­tung des be­stimm­ten In­te­grals (Be­stands­re­kon­struk­ti­on, z. B. zu­rück­ge­leg­te Stre­cke bei ver­än­der­li­cher Ge­schwin­dig­keit, Flä­che)--
15 +Deu­tung des be­stimm­ten In­te­grals (Be­stands­re­kon­struk­ti­on, z. B. zu­rück­ge­leg­te Stre­cke bei ver­än­der­li­cher Ge­schwin­dig­keit, Flä­che)
16 16  ge­krümm­te Rand­funk­ti­on
17 17  Nä­he­rungs­wei­se Be­rech­nung von In­te­gra­len (z. B. Käst­chen­zäh­len, Ober- und Un­ter­sum­me)
18 18  Ori­en­tier­ter Flä­chen­in­halt (z. B. Zu- und Ab­fluss­men­ge)
... ... @@ -26,23 +26,4 @@
26 26  Bestimme den Füllstand nach diesen Veränderungen.
27 27  {{/aufgabe}}
28 28  
29 -{{aufgabe id="Fahrstrecke" afb="I" kompetenzen="K4" quelle="[[KMap>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Rekonstruktion%20einer%20Gr%C3%B6%C3%9Fe]]" zeit="5"}}
30 -[[image:Fahrstrecke.svg||class="right" width=500]]Das Schaubild zeigt den Geschwindigkeitsverlauf während einer Autofahrt.
31 -Bestimme die zurückgelegte Strecke.
32 -{{/aufgabe}}
33 -
34 -{{aufgabe id="Photovoltaikanlage" afb="I" kompetenzen="K4" quelle="[[KMap>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Rekonstruktion%20einer%20Gr%C3%B6%C3%9Fe]]" zeit="5"}}
35 -[[image:Photovoltaik.png||class="right" width=500]]Ein Speicher wird über eine Photovoltaikanlage geladen. Das Schaubild zeigt die Ladeleistung über die Zeit.
36 -Bestimme näherungsweise die gespeicherte Energiemenge des Speichers um 18:00 Uhr unter der Annahme, dass sie morgens um 6:00 Uhr //2 kWh// betrug.
37 -{{/aufgabe}}
38 -
39 -{{aufgabe id="Integraleigenschaften" afb="II" kompetenzen="K1" quelle="Debora Kemm, Benjamin Kaiser" zeit="10"}}
40 -Ermittle eine aufgsteigende Reihenfolge für den Wert der folgenden Integrale
41 -(%class=abc%)
42 -1. {{formula}}\int_{-5}^{5} e^{x+4} \, dx{{/formula}}
43 -1. {{formula}}\int_{-5}^{5} e^{x-4} \, dx{{/formula}}
44 -1. {{formula}}\int_{-5}^{5} (-x^5 + 4x^3-2x)\, dx{{/formula}}
45 -1. {{formula}}\int_{-5}^{5} (\cos(\frac{1}{2}x)-3)\, dx {{/formula}}
46 -{{/aufgabe}}
47 -
48 48  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Fahrstrecke.svg
Author
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1 -XWiki.nilanurschams
Größe
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1 -36.3 KB
Inhalt
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Photovoltaik.ggb
Author
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1 -xwiki:XWiki.holgerengels
Größe
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1 -27.1 KB
Inhalt
Photovoltaik.png
Author
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1 -XWiki.nilanurschams
Größe
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1 -23.8 KB
Inhalt
XWiki.XWikiComments[0]
Autor
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1 +XWiki.kickoff
Kommentar
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1 +Soll die Aufgabe 1 durch Flächenzerlegung gelöst werden? Oder passt diese Aufgabe eher zu einer anderen BPE?
Datum
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1 +2023-10-09 15:35:53.47
XWiki.XWikiComments[1]
Autor
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1 +XWiki.kickoff
Kommentar
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1 +Laut BP gehört Ober- und Untersumme zu 13.1, daher hab ichs da mal reingestellt.
2 +Die Aufgabe ist wohl eher als Erarbeitung tauglich.
Datum
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1 +2023-10-09 16:05:56.242
XWiki.XWikiComments[2]
Autor
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1 +XWiki.holgerengels
Kommentar
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1 +Da es eine Erarbeitungsaufgabe ist, habe ich sie hierher verschoben: [[Jahrgangsstufen.BPE_13L.Erarbeitungsaufgabe Untersumme.WebHome]]
Datum
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1 +2025-12-16 06:21:49.534
Antwort an
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1 +1