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Änderungen von Dokument BPE 2.2 Prozent- und Zinsrechnung

Zuletzt geändert von Martina Wagner am 2025/11/27 10:04
Von Version 20.1
bearbeitet von Martina Wagner
am 2025/09/30 14:31
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 27.1
bearbeitet von Stephanie Wietzorek
am 2025/11/18 11:00
Änderungskommentar: Neues Bild Mauer 1.svg hochladen

Zusammenfassung

Details

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Dokument-Autor
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1 -XWiki.martinawagner
1 +XWiki.wies
Inhalt
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3 3  [[Kompetenzen.K5]] Ich kann die Grundbegriffe der Prozent- und Zinsrechnung beschreiben.
4 4  [[Kompetenzen.K3]] [[Kompetenzen.K5]] Ich kann Prozentwert, Grundwert, Prozentsatz und Zins berechnen
5 5  
6 +
7 +
8 +{{aufgabe id="Zuordnen" afb="II" quelle="Simone Kanzler, Stephanie Wietzorek" kompetenzen="K1, K2, K3, K4, K5, K6" zeit="6" cc="by-sa" tags="mathebrücke"}}
9 +Ein Modegeschäft bietet auf Jeans einen Preisnachlass von 20% an.
10 +Ordne den Texten die entsprechende Berechnung zu und erläutere die Unterschiede.
11 + (% style="width: 100%; white-space: nowrap" class="border" %)
12 +|= Text |= Berechnung
13 +| Susi möchte wissen, wie hoch der Preisnachlass für eine Jeans im Wert von 90€ ist | {{formula}} G = 72 \cdot \frac{100}{20} {{/formula}}
14 +| Susi möchte den reduzierten Preis einer Jeans im Wert von 90€ wissen | {{formula}} P = 90 \cdot \frac{20}{100} {{/formula}}
15 +| Der reduzierte Preis beträgt 72€ und Susi möchte den regulären Preis wissen | {{formula}} 90 - 90 \cdot \frac{20}{100}{{/formula}}
16 +
17 +{{/aufgabe}}
18 +
19 +{{aufgabe id="Prozentmauer" afb="II" quelle="Simone Kanzler, Stephanie Wietzorek" kompetenzen="K1, K2, K3, K4, K5, K6" zeit="6" cc="by-sa" tags="mathebrücke"}}
20 +Fülle die Lücken, indem du nebeneinanderliegende Felder zur Berechnung des darüberliegenden Feldes benutzt.
21 +
22 +{{/aufgabe}}
23 +
6 6  {{aufgabe id="Umsatzsteigerung" afb="I" quelle="Team Mathebrücke" kompetenzen="K5" zeit="4" cc="by-sa" tags="mathebrücke"}}
7 7  Ein Betrieb hatte 2010 einen Umsatz von 325.000 €.
8 8  Im Jahr 2011 sank der Umsatz um 18 %.
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47 47  (%class=abc%)
48 48  1. Wie viel Guthaben hatte Bastian nach dem zweiten Jahr?
49 49  1. Wie hoch war der Zinssatz im ersten und im zweiten Jahr, wenn in beiden Jahren der Zinssatz gleich war?
50 -1. Wie hoch waren die Zinssätze im ersten und im zweiten Jahr, wenn der Zinssatz im zweiten Jahr doppelt so hoch war wie im ersten Jahr?
68 +1. Wie hoch waren die Zinssätze im ersten und im zweiten Jahr, wenn der Zinssatz im zweiten Jahr doppelt so hoch war wie im ersten Jahr?
51 51  {{/aufgabe}}
52 52  
53 53  {{aufgabe id="Richtig oder falsch?" afb="I" quelle="Team Mathebrücke" kompetenzen="" cc="by-sa" tags="mathebrücke"}}
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55 55  
56 56  Der Preis für einen Pullover wird erst um 20 % erhöht und anschließend um 20 % gesenkt. Wie verändert sich der ursprüngliche Preis?
57 57  
58 -□ Der Preis bleibt gleich, da {{formula}}100\% + 20\% = 120\%{{/formula}} und {{formula}}120\% - 20\% = 100\%{{/formula}}
59 -□ Der Preis ist höher, da der Grundwert nach der Preiserhöhung höher ist.
60 -□ Der Preis ist niedriger, da der Grundwert vor der Preiserhöhung niedriger ist.
61 -□ Der Preis ist niedriger, weil der Prozentwert nach der Preiserhöhung höher ist.
76 +☐ Der Preis bleibt gleich, da {{formula}}100\% + 20\% = 120\%{{/formula}} und {{formula}}120\% - 20\% = 100\%{{/formula}}
77 +☐ Der Preis ist höher, da der Grundwert nach der Preiserhöhung höher ist.
78 +☐ Der Preis ist niedriger, da der Grundwert vor der Preiserhöhung niedriger ist.
79 +☐ Der Preis ist niedriger, weil der Prozentwert nach der Preiserhöhung höher ist.
62 62  {{/aufgabe}}
63 63  
64 64  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Mauer 1.svg
Author
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1 +XWiki.wies
Größe
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1 +25.5 KB
Inhalt
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