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Zuletzt geändert von Holger Engels am 2025/10/20 12:25
Von Version 8.1
bearbeitet von Miriam Schneider
am 2025/10/14 11:49
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Auf Version 21.1
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5 5  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann den Satz des Pythagoras als algebraischens Hilfsmittel zur Zeichnung und zur Berechnung von Streckenlängen anwenden.
6 6  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann den Satz des Pythagoras als algebraisches Hilfsmittel zur Untersuchung von Orthogonalität (Rechtwinkligkeit) in Figuren und Körpern anwenden.
7 7  
8 -{{aufgabe id="Fehlende Seite berechnen" afb="I" kompetenzen="K4,K5" quelle="Christine Müller, Miriam Schneider" zeit="" cc="by-sa"}}
8 +{{aufgabe id="Fehlende Seite berechnen" afb="I" kompetenzen="K4,K5" quelle="Christine Müller, Miriam Schneider" zeit="6" cc="by-sa"}}
9 9  Berechne die fehlenden Seitenlängen im rechtwinkligen Dreieck. Runde ggf. auf zwei Nachkommastellen.
10 -[[image:Pythagoras_Dreiecke.svg||width=600]]
10 +[[image:Pyt_Dreiecke.svg||width=600||]]
11 11  {{/aufgabe}}
12 12  
13 +{{aufgabe id="Drachen basteln" afb="II" kompetenzen="K1,K2,K5,K6" quelle="Christine Müller, Miriam Schneider" zeit="10" cc="by-sa"}}
14 +Im Herbst bastelt Frida einen Drachen (vgl. Abbildung). Die Kantenlängen a und b sind 30cm und 50cm lang.
15 +Ihr Vater hat einen 110cm langen Holzstab, den er für die Diagonalen des Drachen auseinandersägen könnte. Prüfe, ob dieser Holzstab lang genug ist.
16 +[[image:Pyth_Drachen.svg||width=200||display:block]]
17 +{{/aufgabe}}
18 +
19 +{{aufgabe id="Drachen steigen" afb="II" kompetenzen="K2,K3,K4,K5" quelle="Christine Müller, Miriam Schneider" zeit="10" cc="by-sa"}}
20 +Lieschen hat einen neuen Drachen und geht mit ihm drachensteigen. Sie lässt die Drachenschnur 20m aus. Plötzlich verfängt sich der Drachen in einer hohen Tanne. Lieschen läuft zur Tanne und misst anhand ihrer Schritte eine Entfernung von 18m bis zur Tanne.
21 +Berechne die Höhe der Tanne. Gehe davon aus, dass Lieschen die Drachenschnur auf einer Höhe von 1,30m hält. Fertige eine geeignete Skizze an.
22 +{{/aufgabe}}
23 +
13 13  {{aufgabe id="Flächeninhalt eines Dreiecks" afb="III" kompetenzen="" quelle="Mathebrücke" zeit="" cc="by-sa" tags="mathebrücke"}}
14 14  Die Punkte {{formula}}A(-2|-3), B(7|3){{/formula}} und {{formula}}C(0|7){{/formula}} sind die Ecken eines Dreiecks {{formula}}ABC{{/formula}}. Zudem ist der Punkt {{formula}}H(4|1){{/formula}} gegeben.
15 15  (%class=abc%)
Pythagoras_Drachen.svg
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