Änderungen von Dokument BPE 13.1 Bestandsrekonstruktion und Orientierter Flächeninhalt
Zuletzt geändert von Holger Engels am 2026/10/17 14:38
Von Version 41.1
bearbeitet von Holger Engels
am 2026/09/18 19:27
am 2026/09/18 19:27
Änderungskommentar:
Neues Bild Gefäß.svg hochladen
Auf Version 32.1
bearbeitet von Nila Nurschams
am 2026/02/27 15:02
am 2026/02/27 15:02
Änderungskommentar:
Neues Bild Photovoltaik.png hochladen
Zusammenfassung
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... ... @@ -12,7 +12,7 @@ 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) ... ... @@ -31,18 +31,4 @@ 31 31 Bestimme die zurückgelegte Strecke. 32 32 {{/aufgabe}} 33 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=""/}}
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... ... @@ -1,1 +1,1 @@ 1 - xwiki:XWiki.holgerengels1 +XWiki.holgerengels - Größe
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... ... @@ -1,0 +1,1 @@ 1 +XWiki.kickoff - Kommentar
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... ... @@ -1,0 +1,2 @@ 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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... ... @@ -1,0 +1,1 @@ 1 +2023-10-09 16:05:56.242
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... ... @@ -1,0 +1,1 @@ 1 +XWiki.holgerengels - Kommentar
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... ... @@ -1,0 +1,1 @@ 1 +Da es eine Erarbeitungsaufgabe ist, habe ich sie hierher verschoben: [[Jahrgangsstufen.BPE_13L.Erarbeitungsaufgabe Untersumme.WebHome]] - Datum
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... ... @@ -1,0 +1,1 @@ 1 +2025-12-16 06:21:49.534 - Antwort an
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