Sonne, Mond und Erde
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.
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 -
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 -
Question
Solution
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\(\LaTeX\)
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Exercise:
In den folgen Aufgaben geht es um die Sonne .ekg die Erde .ekg und den Mond .ekg. abcliste abc Wie gross ist die Gravitationskraft welche die Sonne auf den Mond ausübt nimm den gleichen Abstand SonnMond an wie SonnErde beides AE? abc Wie viel mal ist diese Kraft grösser als diejenige welche die Erde auf den Mond ausübt? abc Wieso kreist der Mond trotzdem um die Erde -- und nicht um die Sonne? abcliste
Solution:
abcliste abc Die Kraft der Sonne auf den Mond ist: F_SunIndexMoonIndex Gfracm_SunIndex m_MoonIndexr_SunIndexEarthIndex^ .cubicmeterperkilogrampersecondsquared frac.ekg .ekg.em^ .eN abc Die Kraft der Erde auf den Mond ist F_EarthIndexMoonIndex Gfracm_EarthIndex m_MoonIndexr_EarthIndexMoonIndex^ .newtonmetersquaredperkilogramsquaredNmqpkgq frac.ekg .ekg.em^ .eN Diese Kraft ist rund zweimal kleiner als F_SunIndexMoonIndex. Der Mond kreist aber trotzdem um die Erde und nicht um die Sonne. abc Es sei itemize item a_: Beschleunigung SonnMond item a_: Beschleunigung SonnErde item a_: Beschleunigung ErdMond. itemize Damit der Mond um die Sonne kreisen würde müsste a a_-a_ a_ sein. Das ist aber nicht der Fall. abcliste
In den folgen Aufgaben geht es um die Sonne .ekg die Erde .ekg und den Mond .ekg. abcliste abc Wie gross ist die Gravitationskraft welche die Sonne auf den Mond ausübt nimm den gleichen Abstand SonnMond an wie SonnErde beides AE? abc Wie viel mal ist diese Kraft grösser als diejenige welche die Erde auf den Mond ausübt? abc Wieso kreist der Mond trotzdem um die Erde -- und nicht um die Sonne? abcliste
Solution:
abcliste abc Die Kraft der Sonne auf den Mond ist: F_SunIndexMoonIndex Gfracm_SunIndex m_MoonIndexr_SunIndexEarthIndex^ .cubicmeterperkilogrampersecondsquared frac.ekg .ekg.em^ .eN abc Die Kraft der Erde auf den Mond ist F_EarthIndexMoonIndex Gfracm_EarthIndex m_MoonIndexr_EarthIndexMoonIndex^ .newtonmetersquaredperkilogramsquaredNmqpkgq frac.ekg .ekg.em^ .eN Diese Kraft ist rund zweimal kleiner als F_SunIndexMoonIndex. Der Mond kreist aber trotzdem um die Erde und nicht um die Sonne. abc Es sei itemize item a_: Beschleunigung SonnMond item a_: Beschleunigung SonnErde item a_: Beschleunigung ErdMond. itemize Damit der Mond um die Sonne kreisen würde müsste a a_-a_ a_ sein. Das ist aber nicht der Fall. abcliste
Meta Information
Exercise:
In den folgen Aufgaben geht es um die Sonne .ekg die Erde .ekg und den Mond .ekg. abcliste abc Wie gross ist die Gravitationskraft welche die Sonne auf den Mond ausübt nimm den gleichen Abstand SonnMond an wie SonnErde beides AE? abc Wie viel mal ist diese Kraft grösser als diejenige welche die Erde auf den Mond ausübt? abc Wieso kreist der Mond trotzdem um die Erde -- und nicht um die Sonne? abcliste
Solution:
abcliste abc Die Kraft der Sonne auf den Mond ist: F_SunIndexMoonIndex Gfracm_SunIndex m_MoonIndexr_SunIndexEarthIndex^ .cubicmeterperkilogrampersecondsquared frac.ekg .ekg.em^ .eN abc Die Kraft der Erde auf den Mond ist F_EarthIndexMoonIndex Gfracm_EarthIndex m_MoonIndexr_EarthIndexMoonIndex^ .newtonmetersquaredperkilogramsquaredNmqpkgq frac.ekg .ekg.em^ .eN Diese Kraft ist rund zweimal kleiner als F_SunIndexMoonIndex. Der Mond kreist aber trotzdem um die Erde und nicht um die Sonne. abc Es sei itemize item a_: Beschleunigung SonnMond item a_: Beschleunigung SonnErde item a_: Beschleunigung ErdMond. itemize Damit der Mond um die Sonne kreisen würde müsste a a_-a_ a_ sein. Das ist aber nicht der Fall. abcliste
In den folgen Aufgaben geht es um die Sonne .ekg die Erde .ekg und den Mond .ekg. abcliste abc Wie gross ist die Gravitationskraft welche die Sonne auf den Mond ausübt nimm den gleichen Abstand SonnMond an wie SonnErde beides AE? abc Wie viel mal ist diese Kraft grösser als diejenige welche die Erde auf den Mond ausübt? abc Wieso kreist der Mond trotzdem um die Erde -- und nicht um die Sonne? abcliste
Solution:
abcliste abc Die Kraft der Sonne auf den Mond ist: F_SunIndexMoonIndex Gfracm_SunIndex m_MoonIndexr_SunIndexEarthIndex^ .cubicmeterperkilogrampersecondsquared frac.ekg .ekg.em^ .eN abc Die Kraft der Erde auf den Mond ist F_EarthIndexMoonIndex Gfracm_EarthIndex m_MoonIndexr_EarthIndexMoonIndex^ .newtonmetersquaredperkilogramsquaredNmqpkgq frac.ekg .ekg.em^ .eN Diese Kraft ist rund zweimal kleiner als F_SunIndexMoonIndex. Der Mond kreist aber trotzdem um die Erde und nicht um die Sonne. abc Es sei itemize item a_: Beschleunigung SonnMond item a_: Beschleunigung SonnErde item a_: Beschleunigung ErdMond. itemize Damit der Mond um die Sonne kreisen würde müsste a a_-a_ a_ sein. Das ist aber nicht der Fall. abcliste
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