Änderungen von Dokument BPE 3.1 Eigenschaften und Formen
Zuletzt geändert von Holger Engels am 2025/04/09 13:57
Von Version 137.1
bearbeitet von Holger Engels
am 2025/02/06 08:46
am 2025/02/06 08:46
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Auf Version 140.2
bearbeitet von Holger Engels
am 2025/04/02 10:12
am 2025/04/02 10:12
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Zusammenfassung
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Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)
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Anhänge (1 geändert, 0 hinzugefügt, 0 gelöscht)
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... ... @@ -14,7 +14,7 @@ 14 14 "Beschreiben": Form 'fühlen' (Globalverhalten, Lokalverhalten); vgl. Buchstaben-Formen (N, W) Nulltellentypen (einfach vs mehrfach (gerade vs ungerade)) 15 15 16 16 {{lehrende}} 17 -Unterrichtsidee [[Eingangsklasse.BPE_3_1.Stufenpyramiden zur Faktorisierung von Polynomfunktionen.WebHome]] 17 +**Unterrichtsidee** [[Eingangsklasse.BPE_3_1.Stufenpyramiden zur Faktorisierung von Polynomfunktionen.WebHome]] 18 18 {{/lehrende}} 19 19 20 20 {{lernende}} ... ... @@ -91,26 +91,25 @@ 91 91 1. {{formula}}f(x)=-\frac{1}{16}\cdot (x-2)^2\cdot (x-8){{/formula}} 92 92 1. {{formula}}f(x)=(x-3)\cdot (x^2+3x+9){{/formula}} 93 93 1. {{formula}}f(x)=3\,x^3-33\,x^2+96\,x-84{{/formula}} 94 -Hinweis: Die Funktion //f// besitzt nur die beiden Nullstellen {{formula}} x_1 = 1{{/formula}} und {{formula}} x_2 =7 {{/formula}}.94 +Hinweis: Die Funktion //f// besitzt nur die beiden Nullstellen {{formula}} x_1 =2 {{/formula}} und {{formula}} x_2 =7 {{/formula}}. 95 95 1. {{formula}}f(x)=-2\,x^4+18\,x^2+8\,x-24{{/formula}} 96 96 Hinweis: Die Funktion //f// besitzt nur die Nullstellen {{formula}} x_1 =-2, x_2=1 {{/formula}} und {{formula}} x_3 =3 {{/formula}}. 97 97 {{/aufgabe}} 98 98 99 99 {{aufgabe id="Parabelmaschine" afb="II" kompetenzen="K2, K5" tags="problemlösen" quelle="Simon Oswald" cc="by-sa" zeit="20"}} 100 -[[image:Parabelmaschine.PNG||width="240" style="float: right"]] 101 -Denke dir zwei Zahlen, eine positiv, eine negativ. 102 -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. 103 103 104 104 Ermittle, wo die Verbindungslinie dieser zwei Punkte die y-Achse schneidet! 105 105 106 106 {{lehrende}} 107 -**Variante :** Offene Aufgabe für den Unterricht & für die Klassenarbeit 108 -Wo schneidet die Verbindungslinie dieser zwei Punkte die y-Achse? 105 +**Zusatzfrage:** Und wenn beide Zahlen positiv sind? 109 109 110 - Und wennbeideZahlenpositiv sind?107 +**Variante:** Aufgabe für die Klassenarbeit 111 111 112 - Zur Problemlösung legendirzweiMitschülerdieErgebnisse zweierLösungenvor.109 +Wo schneidet die Verbindungslinie dieser zwei Punkte die y-Achse? 113 113 111 +Zur Problemlösung legen dir zwei Mitschüler die Ergebnisse ihrer Lösungen vor. 112 + 114 114 Schüler 1: 115 115 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}}. 116 116
- Arithmagon Quadratische Formen.svg
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