quotientengleich-produktgleich

English translation: directly proportional -- inversely proportional

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
German term or phrase:quotientengleich-produktgleich
English translation:directly proportional -- inversely proportional
Entered by: janejira

03:09 Apr 5, 2012
German to English translations [PRO]
Science - Mathematics & Statistics / Lernkompetenz
German term or phrase: quotientengleich-produktgleich
Hallo tolle Uebersetzer!
In Lernkompetenz fuer Mathe unter Bereich "Proportitionalitaet" der 7 Klasse steht es:

Die Begriffe "quotientengleich" und "produktgleich" kennen und anwenden.

Koennt ihr mir dabei helfen!
janejira
Local time: 18:55
directly proportional -- inversely proportional
Explanation:
The definition of a directly proportional relationship is that the quotient remains the same (Quotientengleichheit). Similarly, the definition of an inversely proportional relationship is that the product remains the same (Produktgleichheit).
Selected response from:

Eric Zink
Local time: 13:55
Grading comment
Super! Danke schoen!
4 KudoZ points were awarded for this answer



Summary of answers provided
4 +1directly proportional -- inversely proportional
Eric Zink
3componendo and dividendo principle
Narasimhan Raghavan
4 -1proportional / non-proportional
DLyons


  

Answers


2 hrs   confidence: Answerer confidence 3/5Answerer confidence 3/5
componendo and dividendo principle


Explanation:
See http://en.wikipedia.org/wiki/Componendo_and_dividendo

Narasimhan Raghavan
Local time: 17:25
Native speaker of: Tamil
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6 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +1
directly proportional -- inversely proportional


Explanation:
The definition of a directly proportional relationship is that the quotient remains the same (Quotientengleichheit). Similarly, the definition of an inversely proportional relationship is that the product remains the same (Produktgleichheit).


    Reference: http://en.wikipedia.org/wiki/Proportionality_(mathematics)
Eric Zink
Local time: 13:55
Specializes in field
Native speaker of: Native in EnglishEnglish
PRO pts in category: 12
Grading comment
Super! Danke schoen!

Peer comments on this answer (and responses from the answerer)
agree  Marcus Malabad
15 hrs
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7 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): -1
proportional / non-proportional


Explanation:
In Class 7, they look at equal ratios e.g. 2/1 = 6/3 = 10/5. These result in linear graphs through the origin [points being e.g. (1,2) (3,6) (5,10) on line y=2x].

That's then extended to linear graphs that do not go through the origin [points being e.g. (1,3) (3,7) (5, 11) on line y=2x+1].

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Note added at 8 hrs (2012-04-05 12:00:38 GMT)
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Maybe it depends on the context but the following is a typical extract from a Klasse 7 syllabus and it's definitely talking about linear (and not inverse) functions

Inhalte
• Zuordnungen
• Zuordnungsvorschrift
• Zuordnungstabelle
• Darstellung im Koordinatensystem
• proportionale Zuordnung quotientengleich
• antiproportionale Zuordnung produktgleich

http://www.friesenschule.eu/arbpl/MA_07.pdf

DLyons
Ireland
Local time: 12:55
Specializes in field
Native speaker of: English
PRO pts in category: 52

Peer comments on this answer (and responses from the answerer)
disagree  Eric Zink: And where does produktgleich come in? It's definitely not non-proportional (in which case nothing would be gleich).
50 mins
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