Änderungen von Dokument BPE 8.1 Quadratische Zusammenhänge

Zusammenfassung

• Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)
• Anhänge (0 geändert, 0 hinzugefügt, 1 gelöscht)
  • Bild_BPE8.1_A2.svg

Details

Seiteneigenschaften

Inhalt

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5	5
6	6	{{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
7	7
8		-{{aufgabe id="Wertetabelle" afb="I" quelle="k. A." kompetenzen="K4" cc="by-sa" tags="mathebrücke" zeit="3"}}
9		-Untersuche die Werte in der Tabelle auf mögliche Muster oder Besonderheiten.
10		-Überlege, ob es einen Zusammenhang zwischen den x- und y-Werten gibt. Halte deine Überlegungen schriftlich fest.
11		-
12		-(% class=abc %)
13		-1. (((
14		-(% style="table-layout: fixed; width:400px; text-align:center" class="border" %)
15		-|{{formula}}x {{/formula}}|{{formula}}-2 {{/formula}}|{{formula}}-1 {{/formula}}|{{formula}}0{{/formula}}|{{formula}}1{{/formula}}|{{formula}}2{{/formula}}
16		-|{{formula}}y {{/formula}}|{{formula}}4{{/formula}}|{{formula}}1{{/formula}}|{{formula}}0{{/formula}}|{{formula}}1{{/formula}}|{{formula}}4{{/formula}}
17		-)))
18		-
19		- 1. (((
20		-(% style="table-layout: fixed; width: 400px; text-align:center; white-space: nowrap" class="border" %)
21		-|{{formula}}x{{/formula}}|{{formula}}-2{{/formula}}|{{formula}}-1{{/formula}}|{{formula}}0{{/formula}}|{{formula}}1{{/formula}}|{{formula}}2{{/formula}}
22		-|{{formula}}y{{/formula}}|{{formula}}6{{/formula}}|{{formula}}3{{/formula}}|{{formula}}2{{/formula}}|{{formula}}3{{/formula}}|{{formula}}6{{/formula}}
23		-)))
24		-
25		- 1. (((
26		-(% style="table-layout: fixed; width: 400px; text-align: center; white-space: nowrap" class="border" %)
27		-|{{formula}}x{{/formula}}|{{formula}}0{{/formula}}|{{formula}}1{{/formula}}|{{formula}}2{{/formula}}|{{formula}}3{{/formula}}|{{formula}}4{{/formula}}
28		-|{{formula}}y{{/formula}}|{{formula}}4{{/formula}}|{{formula}}9{{/formula}}|{{formula}}16{{/formula}}|{{formula}}25{{/formula}}|{{formula}}36{{/formula}}
29		-)))
30		-
31		-{{/aufgabe}}
32		-
33		-{{aufgabe id="Schaubild" afb="I" quelle="k. A." kompetenzen="K4" cc="by-sa" tags="mathebrücke" zeit="7"}}
34		-Gegeben ist folgende Wertetabelle.
35		-
36		-(((
37		-(% style="table-layout: fixed; width: 400px; text-align: center; white-space: nowrap" class="border" %)
38		-|{{formula}}x{{/formula}}|{{formula}}-3{{/formula}}|{{formula}}-2{{/formula}}|{{formula}}-1{{/formula}}|{{formula}}0{{/formula}}|{{formula}}1{{/formula}}|{{formula}}2{{/formula}}|{{formula}}3{{/formula}}
39		-|{{formula}}y{{/formula}}|{{formula}}9{{/formula}}|{{formula}}4{{/formula}}|{{formula}}1{{/formula}}|{{formula}}0{{/formula}}|{{formula}}1{{/formula}}|{{formula}}4{{/formula}}|{{formula}}9{{/formula}}
40		-)))
41		- a) Zeichne das passende Schaubild zur Wertetabelle für den Bereich [-3; 3].
42		- b) Das Schaubild ist achsensymmetrisch. Zeichne die Symmetrieachse farbig in das Koordinatensystem.
43		- c) Beschreibe weitere Eigenschaften des Schaubilds.
44		- d) Beschreibe, wie eine mögliche Rechenvorschrift für {{formula}}y{{/formula}} in Abhängigkeit von {{formula}}x{{/formula}} lautet.
45		-
46		-[[image:Bild_BPE8.1_A2.svg]]
47		-
48		-
49		- {{/aufgabe}}
50		-
51		-{{aufgabe id="Wie hoch fliegt der Ball?" afb="II" quelle="k. A." kompetenzen="K4" cc="by-sa" tags="mathebrücke" zeit="7"}}
52		-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.
53		-
54		-Dein Sportlehrer hat das Ganze mit einer App aufgenommen und genau gemessen, wie hoch der Ball in bestimmten Momenten war. Die Ergebnisse hat er in eine Tabelle eingetragen.
55		-
56		-Jetzt bist du dran: Schau dir die Werte in der Tabelle an und finde heraus, wie der Ball sich wirklich bewegt hat.
57		-
58		-(((
59		-(% style="table-layout: fixed; width: 800px; text-align: center; white-space: nowrap" class="border" %)
60		-|Zeit{{formula}}~t{{/formula}}~in Sekunden|{{formula}}0{{/formula}}|{{formula}}0,5{{/formula}}|{{formula}}1{{/formula}}|{{formula}}1,5{{/formula}}|{{formula}}2{{/formula}}
61		-|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}}
62		-)))
63		-
64		-a) Beschreibe in Worten, wie sich die Höhe des Balls mit der Zeit verändert.
65		-b) Beschreibe, wann der Ball seine maximale Höhe erreicht. Wie könnte die Bewegung weitergehen? Beschreibe.
66		-c) Versuche, eine Regel in Worten oder mit Zahlen aufzustellen. Überlege dir hierzu, wie man aus der Zeit die Höhe berechnen könnte.
67		-

Bild_BPE8.1_A2.svg

Author

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1		-XWiki.sandravogt

Größe

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1		-7.4 KB

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