Änderungen von Dokument BPE 3.1 Eigenschaften und Formen

Zuletzt geändert von Holger Engels am 2025/04/09 13:57

Von Version 132.1
bearbeitet von Martina Wagner
am 2025/01/10 14:56
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 138.1
bearbeitet von Holger Engels
am 2025/02/18 18:58
Änderungskommentar: Neuen Anhang Arithmagon Quadratische Formen.pdf hochladen

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.martinawagner
1 +XWiki.holgerengels
Inhalt
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13 13  Input: Vorgegebene Schaubilder vergleichen (Gemeinsamkeiten, Unterschiede)
14 14  "Beschreiben": Form 'fühlen' (Globalverhalten, Lokalverhalten); vgl. Buchstaben-Formen (N, W) Nulltellentypen (einfach vs mehrfach (gerade vs ungerade))
15 15  
16 +{{lehrende}}
17 +**Unterrichtsidee** [[Eingangsklasse.BPE_3_1.Stufenpyramiden zur Faktorisierung von Polynomfunktionen.WebHome]]
18 +{{/lehrende}}
19 +
16 16  {{lernende}}
17 17  [[Nullstellen und Vielfachheiten interaktiv>>https://kmap.eu/app/browser/Mathematik/Ganzrationale%20Funktionen/Produktform#erkunden]]
18 18  {{/lernende}}
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93 93  {{/aufgabe}}
94 94  
95 95  {{aufgabe id="Parabelmaschine" afb="II" kompetenzen="K2, K5" tags="problemlösen" quelle="Simon Oswald" cc="by-sa" zeit="20"}}
96 -[[image:Parabelmaschine.PNG||width="240" style="float: right"]]
97 -Denke dir zwei Zahlen, eine positiv, eine negativ.
98 -Wenn du diese Zahlen quadrierst, erhältst du zwei Punkte auf der Normalparabel.
100 +[[image:Parabelmaschine.PNG||width="240" style="float: right"]]Denke dir zwei Zahlen, eine positive, eine negative. Wenn du diese Zahlen quadrierst, erhältst du zwei Punkte auf der Normalparabel.
99 99  
100 100  Ermittle, wo die Verbindungslinie dieser zwei Punkte die y-Achse schneidet!
101 101  
102 102  {{lehrende}}
103 -**Variante :** Offene Aufgabe für den Unterricht & für die Klassenarbeit
104 -Wo schneidet die Verbindungslinie dieser zwei Punkte die y-Achse?
105 +**Zusatzfrage:** Und wenn beide Zahlen positiv sind?
105 105  
106 -Und wenn beide Zahlen positiv sind?
107 +**Variante:** Aufgabe für die Klassenarbeit
107 107  
108 -Zur Problemlösung legen dir zwei Mitschüler die Ergebnisse zweier Lösungen vor.
109 +Wo schneidet die Verbindungslinie dieser zwei Punkte die y-Achse?
109 109  
111 +Zur Problemlösung legen dir zwei Mitschüler die Ergebnisse ihrer Lösungen vor.
112 +
110 110  Schüler 1:
111 111  Die Gerade durch die beiden Punkte {{formula}} P(a|a^2){{/formula}} und {{formula}}Q(b|b^2){{/formula}} schneidet die y-Achse bei {{formula}}S(0 | |a\cdot b|){{/formula}}.
112 112  
Arithmagon Quadratische Formen.svg
Größe
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1 -50.4 KB
1 +21.4 KB
Inhalt
Arithmagon Quadratische Formen Lösung.svg
Author
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1 +XWiki.holgerengels
Größe
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1 +47.6 KB
Inhalt
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Arithmagon Quadratische Formen.pdf
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