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Trigonometrie mit verschiedenen Variablen I

About points...

We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.

That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.

About difficulty...

We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.

That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise

Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/trigonometrie-mit-verschiedenen-variablen-i/

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Exercise:
Drücke jeweils die trigonometrische Funktion durch das korrekte Seitenverhältnis aus. nprvmulticols abclist abc sinvarphi tanvarphi cospsi RechtwinkligesDreieckMitWinkelIndividuellxyzvarphipsi abc cosomega sinvarrho tanomega RechtwinkligesDreieckMitWinkelIndividuellefgomegavarrho columnbreak abc tanlambda cosmu sinmu RechtwinkligesDreieckMitWinkelIndividuell-abclambdamu abc cosvarepsilon tanzeta sinzeta RechtwinkligesDreieckMitWinkelIndividuelliklvarepsilonzeta columnbreak abc sintau cossigma tantau RechtwinkligesDreieckMitWinkelIndividuell-uvwsigmatau abc tannu sinnu cos v RechtwinkligesDreieckMitWinkelIndividuellpqrvnu abclist nprvmulticols

Solution:
nprvmulticols abclist abc sinvarphi frac xz tanvarphi frac xy cospsi frac xz abc cosomega frac fg sinvarrho frac fg tanomega frac ef abc tanlambda frac ab cosmu frac ac sinmu frac bc abc cosvarepsilon frac kl tanzeta frac ki sinzeta frac kl abc sintau frac vw cossigma frac vw tantau frac vu abc tannu frac qp sinnu frac qr cosv frac qr abclist nprvmulticols

Meta Information

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Contained in these collections:

Trigonometrie im rechtwinkligen Dreieck II by pw

1 | 3
Trigonometrie 2 by uz

1 | 2

Attributes & Decorations

Tags	basics, cosinus, geometrie, mathematik, rechtwinkliges dreieck, sinus, tangens, trigonometrie, winkelfunktionen
Content image
Difficulty	(2, default)
Points	0 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	pw
Decoration
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