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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
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 7.1
bearbeitet von Sandra Vogt
am 2025/09/30 13:17
Änderungskommentar: Neues Bild Bild_BPE8.1_A2.svg hochladen

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.holgerengels
1 +XWiki.sandravogt
Inhalt
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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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Quadratischer Zusammenhang.svg
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Bild_BPE8.1_A2.svg
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