Änderungen von Dokument BPE 8.1 Quadratische Zusammenhänge

Zusammenfassung

• Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)
• Anhänge (0 geändert, 1 hinzugefügt, 0 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

Inhalt

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