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Zuletzt geändert von Holger Engels am 2025/07/11 07:51
Von Version 24.1
bearbeitet von akukin
am 2025/06/03 22:12
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 32.1
bearbeitet von Holger Engels
am 2025/07/04 08:45
Änderungskommentar: Neues Bild Koordinatensystem zeichnen.svg hochladen

Zusammenfassung

Details

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Dokument-Autor
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1 -XWiki.akukin
1 +XWiki.holgerengels
Inhalt
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2 2  
3 3  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann die Gleichung von Geraden bestimmen.
4 4  [[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann die Steigung und den y-Achsenabschnitt von Geraden bestimmen.
5 -[[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann Geraden in eine Koordinatensystem einzeichnen.
5 +[[Kompetenzen.K4]] [[Kompetenzen.K5]] Ich kann Geraden in ein Koordinatensystem einzeichnen.
6 6  
7 7  {{aufgabe id="Darstellung von Geraden" afb="I" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
8 -[[image:DarstellungvonGeraden.PNG||width="150" style="float: right"]]
8 +[[image:Darstellung von Geraden.svg||width="200" style="float: right"]]
9 9  Gegeben sind die Geraden {{formula}}g_1{{/formula}} und {{formula}}g_2{{/formula}}:
10 10  {{formula}}g_1: y=-\frac{1}{2}x+1{{/formula}}
11 11  {{formula}}g_2: 2y=x+1{{/formula}}
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12 12  
13 13  Begründe, warum die rechts abgebildete Gerade weder {{formula}}g_1{{/formula}} noch {{formula}}g_2{{/formula}} darstellt.
14 14  
15 -
16 -
17 -
18 18  {{lehrende}}
19 19  **Sinn dieser Aufgabe:**
20 20  Steigung und y-Achsenabschnitt aus der Geradengleichung und aus dem Schaubild ablesen
21 21  {{/lehrende}}
22 -
23 23  {{/aufgabe}}
24 24  
25 -{{aufgabe id="Gerade zeichnen" afb="II" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
21 +{{aufgabe id="Achse ergänzen" afb="II" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
26 26  Zeichne die fehlende x-Achse so ein und beschrifte die Koordinatenachsen so mit geeigneten Einheiten, dass die eingezeichnete Gerade die Gleichung {{formula}} y=\frac{1}{3}x+3{{/formula}} besitzt.
27 -[[image:Geradezeichnen.PNG||width="600" style="display:block;margin-left:auto;margin-right:auto"]]
23 +[[image:Achse ergänzen.svg||width="200" style="float: right"]]
28 28  
29 -
30 -
31 31  {{lehrende}}
32 32  **Sinn dieser Aufgabe:**
33 33  * Geraden zeichnen
34 34  * Umgang mit Koordinatensystem
35 35  {{/lehrende}}
36 -
37 37  {{/aufgabe}}
38 38  
39 -{{aufgabe id="Koordinatensystem zu Geraden zeichnen" afb="II" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
40 -Im nachfolgenden Gitternetz sind zwei Geraden dargestellt.
41 -[[image:Koordinatensystemzeichnen.PNG||width="500" style="display:block;margin-left:auto;margin-right:auto"]]
32 +{{aufgabe id="Achsen ergänzen" afb="II" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
33 +Im nachfolgenden Gitternetz sind zwei Geraden dargestellt.
34 +[[image:Achsen ergänzen.svg||width="200" style="float: right"]]
42 42  
43 43  (% class=abc %)
44 44  1. Eine der beiden Geraden hat die Gleichung {{formula}}y=\frac{1}{4}x+1{{/formula}}.
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49 49  **Sinn dieser Aufgabe:**
50 50  Rückwärtsaufgabe: An Schaubilder Koordinatensystem anpassen
51 51  {{/lehrende}}
52 -
53 53  {{/aufgabe}}
54 54  
55 55  {{aufgabe id="Zeichnen von Geraden" afb="II" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
56 56  Zeichne die Gerade mit der Gleichung {{formula}}y=a\cdot(x-2)+3{{/formula}} für
57 -
58 58  (% class=abc %)
59 59  1. {{formula}}a=1{{/formula}}
60 60  1. {{formula}}a=-1{{/formula}}
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66 66  * Geradengleichung in Hauptform bringen
67 67  * Geraden zeichnen
68 68  {{/lehrende}}
69 -
70 70  {{/aufgabe}}
71 71  
72 72  {{aufgabe id="Folge ungenauen Zeichnens" afb="II" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
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79 79  * Mit Geraden umgehen
80 80  * Eine Lösungsstrategie entwickeln
81 81  {{/lehrende}}
82 -
83 83  {{/aufgabe}}
84 84  
85 -{{aufgabe id="Darstellung von Geraden 2" afb="III" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
74 +{{aufgabe id="Achsen beschriften" afb="III" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
86 86  Beschrifte die Koordinatenachsen so mit geeigneten Einheiten, dass die eingezeichnete Gerade die Gleichung {{formula}}y=2x+1{{/formula}} besitzt.
87 -[[image:2x+1.PNG||width="350" style="display:block;margin-left:auto;margin-right:auto"]]
76 +[[image:Achsen beschriften.PNG||width="200" style="float: right"]]
88 88  
89 89  {{lehrende}}
90 90  **Sinn dieser Aufgabe:**
91 91  * Aus der Geradengleichung Informationen wie z.B. y-Achsenabschnitt, Steigung ablesen und geometrisch umsetzen
92 92  {{/lehrende}}
93 -
94 94  {{/aufgabe}}
95 95  
96 96  {{aufgabe id="Zeichnen von Geraden 2" afb="III" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
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110 110  
111 111  {{/aufgabe}}
112 112  
113 -{{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
101 +{{aufgabe id="Koordinatensystem zeichnen" afb="III" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
102 +Zeichne Koordinatenachsen so ein und lege die Einheiten an den Achsen so fest, dass die gegebene Gerade bezüglich dieses Koordinatensystems die Gleichung {{formula}}y=-x+1{{/formula}} besitzt.
103 +[[image:Koordinatensystem zeichnen.svg||width="300" style="display:block;margin-left:auto;margin-right:auto"]]
114 114  
105 +{{lehrende}}
106 +**Sinn dieser Aufgabe:**
107 +* Bedeutung des Koordinatensystems verstehen
108 +* Steigung, y-Achsenabschnitt aus Gleichung ablesen und zeichnerisch umsetzen
109 +{{/lehrende}}
110 +{{/aufgabe}}
111 +
112 +{{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Achse ergänzen.svg
Author
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1 +XWiki.holgerengels
Größe
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1 +28.8 KB
Inhalt
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Achsen ergänzen.svg
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Darstellung im Koordinatensystem.PNG
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Darstellung von Geraden.svg
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Koordinatensystem zeichnen.svg
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