From 450ba0e0ecd78a6c74b9f751097d53fb49bcd8a3 Mon Sep 17 00:00:00 2001 From: Luca Weidlich Date: Sun, 12 Jul 2026 17:33:59 +0200 Subject: [PATCH] Zeitplan --- content/Arbeitsmaterialien.tex | 2 +- content/Zeitplan.tex | 4 +--- galton.pdf | Bin 479415 -> 482269 bytes 3 files changed, 2 insertions(+), 4 deletions(-) diff --git a/content/Arbeitsmaterialien.tex b/content/Arbeitsmaterialien.tex index b1dba69..4b0aede 100644 --- a/content/Arbeitsmaterialien.tex +++ b/content/Arbeitsmaterialien.tex @@ -33,7 +33,7 @@ Bitte bedenken Sie, zumindest Lösungsskizzen zu den Aufgaben zu geben! Besser n % ln und umformen (Klassenstufe! -> Anschätzung und Ergebnis vorgeben, nicht rechnen) % Rücksubstitution machen Das dritte Arbeitsblatt dient dem Beweis des zentralen Grenzwertsatzes von Movire-Laplace. Ziel ist es hierbei explizit nicht, dass die Schüler*innen den Beweis in jedem Detail, wie im Teil "Mathematischer Hintergrund", verstehen aber die Grundlegenden Argumentationen und mathematischen Tricks nachvollziehen. Außerdem ist vor allem das Beweisen etwas, dass im Rahmenlehrplan (\cite{lisum-2022} und \cite{lisum-2023}) nicht gefordert ist, wodurch es sich sehr gut für eine MatheAG oder Zusatzstunde handelt, in der Inhalte über den klassischen Unterricht hinaus behandelt werden.\\ -Für das Arbeitsblatt sollten die Schüler*innen bereits mit der Binomialverteilung, Zufallsvariablen, Logarithmen sowie der e-Funktion vertraut sein und mit etwas Formalismus umgehen können. Tiefgreifende Kenntnisse zur Normalverteilung sind nicht vorausgesetzt und werden auf dem Arbeitsblatt in ausreichender Form wiederholt bzw. können selbständig aufbereitet werden. Es ist empfohlen mindestens eines der Arbeitsblätter Galton x Pascall oder Galton x Plinko vorher bearbeitet zu haben, um das Konzept des Galtonbrettes und dessen Zusammenhang mit der Binomialverteilung verstanden zu haben.\\ +Für das Arbeitsblatt sollten die Schüler*innen bereits mit der Binomialverteilung, Zufallsvariablen, Logarithmen sowie der e-Funktion vertraut sein und mit etwas Formalismus umgehen können. Tiefgreifende Kenntnisse zur Normalverteilung sind nicht vorausgesetzt und werden auf dem Arbeitsblatt in ausreichender Form wiederholt bzw. können selbständig aufbereitet werden. Es ist empfohlen mindestens das Arbeitsblätt \emph{Pascalsches Dreieck} und optimaler Weise auch noch das Arbeitsblatt \emph{Galton x Plinko} vorher bearbeitet zu haben, um das Konzept des Galtonbrettes und dessen Zusammenhang mit der Binomialverteilung verstanden zu haben.\\ Auf dem Arbeitsblatt wird die formale Modellierung des Galtonbrettes vorgestellt und soll durch eine Zuordnungsaufgabe durch die Schüler*innen vertieft werden. Im Anschluss soll der Bezug zwischen Binomial- und Normalverteilung wiederholt bzw. erarbeitet werden. Das Kernstück des Arbeitsblattes stellt der Lückentext-Ähnliche Beweis dar. Hier sollen die Schüler einige Mathematische Argumentationen nachvollziehen und einige Umformungen selbst durchführen, um den Beweis nachvollziehen zu können. Sollten die Schüler leistungsschwächer sein oder an einem Punkt fest Stecken gibt es zur Differenzierung Lösungskarten für die Lücken, welche den Schülern in nicht sortierter Reihenfolge zur Verfügung gestellt werden können. %Noch Checkfragen in den Beweis einbauen? \ No newline at end of file diff --git a/content/Zeitplan.tex b/content/Zeitplan.tex index 4e2b38f..3208d92 100644 --- a/content/Zeitplan.tex +++ b/content/Zeitplan.tex @@ -1,3 +1 @@ -Hier ist kein minutengenauer Zeitplan nötig, aber eine grobe Übersicht über den Zeitplan ist sinnvoll. Insbesondere, wie viel Zeit Sie für die einzelnen Themen bzw. Arbeitsmaterialien veranschlagen. - -Das ganze muss nicht in eine Doppelstunde passen, aber es ist sinnvoll, wenn Sie die normalen Doppelstunden als grobe Richtlinie verwenden. Der Zeitplan kann z.B. gerne als eine Tabelle dargestellt werden. \ No newline at end of file +Um eine tiefgreifende Auseinandersetzung mit dem Galatonbrett zu ermöglichen empfehlen wir alle drei Arbeitsblätter anzubieten. Wir empfehlen mit dem Arbeitsblatt \emph{Pascalsches Dreieck} (c.a. 25 min) zu beginnen, daran das Arbeitsblatt \emph{Galton x Plinko} (c.a. 25 min) anzuschließen und das Arbeitsblatt \emph{ZSG Movire-Laplace} (c.a. 40min) zum Abschluss zu benutzen. 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