Änderungen von Dokument BPE 8.1 Quadratische Zusammenhänge
Zuletzt geändert von Holger Engels am 2025/11/18 09:44
Von Version 40.3
bearbeitet von Holger Engels
am 2025/11/18 09:44
am 2025/11/18 09:44
Änderungskommentar:
Es gibt keinen Kommentar für diese Version
Auf Version 3.1
bearbeitet von Sandra Vogt
am 2025/09/30 12:25
am 2025/09/30 12:25
Änderungskommentar:
Neues Bild Bilddatei BPE 8.1 Aufgabe 2.svg hochladen
Zusammenfassung
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Seiteneigenschaften (2 geändert, 0 hinzugefügt, 0 gelöscht)
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Anhänge (0 geändert, 1 hinzugefügt, 2 gelöscht)
Details
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... ... @@ -1,1 +1,1 @@ 1 -XWiki. holgerengels1 +XWiki.sandravogt - Inhalt
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... ... @@ -3,60 +3,5 @@ 3 3 [[Kompetenzen.K4]] Ich kann quadratische Zusammenhänge aus Tabellen, Schaubildern oder Texten deuten. 4 4 [[Kompetenzen.K4]] Ich kann quadratische Zusammenhänge grafisch darstellen. 5 5 6 -{{aufgabe id="Wertetabelle" afb="I" quelle="Sandra Vogt" kompetenzen="K4, K6" cc="by-sa" zeit="3"}} 7 -Untersuche die Werte in der Tabelle auf mögliche Muster oder Besonderheiten. 8 -Überlege, ob es einen Zusammenhang zwischen den x- und y-Werten gibt. Halte deine Überlegungen schriftlich fest. 9 -(% class="border slim" %) 10 -|x |-2|-1|0|1|2 11 -|y |4|1|0|1|4 12 -{{/aufgabe}} 6 +{{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}} 13 13 14 -{{aufgabe id="Punkte" afb="I" kompetenzen="K1,K6" quelle="Bastian Knöpfle, Slavko Lamp" zeit="3"}} 15 -[[image:Quadratischer Zusammenhang.svg||width="200" class="right"]]Begründe, dass es sich um einen quadratischen Zusammenhang handelt. 16 -{{/aufgabe}} 17 - 18 -{{aufgabe id="Schaubild" afb="I" quelle="Sandra Vogt" kompetenzen="K4,K5,K6" cc="by-sa" zeit="7"}} 19 -Gegeben ist folgende Wertetabelle. 20 -(% class="border slim" %) 21 -|x|-3|-2|-1|0|1|2|3 22 -|y|9|4|1|0|1|4|9 23 -(%class=abc%) 24 -1. Zeichne das passende Schaubild zur Wertetabelle für den Bereich [-3; 3]. 25 -1. Das Schaubild ist achsensymmetrisch. Zeichne die Symmetrieachse farbig in das Koordinatensystem. 26 -1. Beschreibe weitere Eigenschaften des Schaubilds. 27 -1. Beschreibe, wie eine mögliche Rechenvorschrift für //y// in Abhängigkeit von //x// lautet. 28 -{{/aufgabe}} 29 - 30 -{{aufgabe id="Wie hoch fliegt der Ball?" afb="II" quelle="Sandra Vogt" kompetenzen="K3,K4" cc="by-sa" zeit="7"}} 31 -Stell dir vor: In der Pause wirft jemand auf dem Schulhof einen Basketball senkrecht in die Luft – richtig hoch! Du schaust zu. Der Ball steigt schnell auf, wird langsamer, bleibt ganz kurz wie eingefroren in der Luft – und fällt dann wieder runter. 32 - 33 -Deine Sportlehrerin hat das Ganze mit einer App aufgenommen und genau gemessen, wie hoch der Ball in bestimmten Momenten war. Die Ergebnisse hat sie in eine Tabelle eingetragen. 34 - 35 -Jetzt bist du dran: Schau dir die Werte in der Tabelle an und finde heraus, wie der Ball sich wirklich bewegt hat. 36 - 37 -(% class="border slim" %) 38 -|Zeit{{formula}}~t\ {{/formula}}~in Sekunden|{{formula}}0{{/formula}}|{{formula}}0,5{{/formula}}|{{formula}}1{{/formula}}|{{formula}}1,5{{/formula}}|{{formula}}2{{/formula}} 39 -|Höhe{{formula}}~h\ {{/formula}}~in Metern|{{formula}}1,5{{/formula}}|{{formula}}2,5{{/formula}}|{{formula}}3{{/formula}}|{{formula}}2,5{{/formula}}|{{formula}}1,5{{/formula}} 40 - 41 -(%class=abc%) 42 -1. Beschreibe in Worten, wie sich die Höhe des Balls mit der Zeit verändert. 43 -1. Beschreibe, wann der Ball seine maximale Höhe erreicht. Wie könnte die Bewegung weitergehen? Beschreibe. 44 -{{/aufgabe}} 45 - 46 -{{aufgabe id="Wertetabelle" afb="III" quelle="Sandra Vogt" kompetenzen="K4, K6" cc="by-sa" zeit="4"}} 47 -Untersuche die Werte in der Tabelle auf mögliche Muster oder Besonderheiten. 48 -Überlege, ob es einen Zusammenhang zwischen den x- und y-Werten gibt. Halte deine Überlegungen schriftlich fest. 49 -(% class=abc %) 50 -1. ((( 51 -(% class="border slim" %) 52 -|x|-2|-1|0|1|2 53 -|y|0|-3|-4|-3|0 54 -))) 55 -1. ((( 56 -(% class="border slim" %) 57 -|x|0|1|2|3|4 58 -|y|4|9|16|25|36 59 -))) 60 -{{/aufgabe}} 61 - 62 -{{seitenreflexion bildungsplan="5" kompetenzen="4" anforderungsbereiche="5" kriterien="5" menge="5"/}}
- Quadratischer Zusammenhang.ggb
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... ... @@ -1,1 +1,0 @@ 1 -XWiki.holgerengels - Größe
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... ... @@ -1,1 +1,0 @@ 1 -41.3 KB - Inhalt
- Quadratischer Zusammenhang.svg
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... ... @@ -1,1 +1,0 @@ 1 -XWiki.holgerengels - Größe
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