Davonfahrender Zug
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
Short
Video
\(\LaTeX\)
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Exercise:
Ein Mann rennt mit vO einem Zug nach der gerade soO weiter vorne mit aO aus dem Stillstand startet. abclist abc Wie viel Zeit vergeht nach der Abfahrt des Zuges bis der Mann ihn eingeholt hat? hfill bishopB abc Skizziere das Geschwindigkeit-Zeit-Diagramm Mann gestrichelt Zug durchgezogen in das folge Koordinatensystem. hfill abclist center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY %tkzFctdashed very thick darkred domain:vX %tkzFctvery thick darkgreen domain:aX*x tikzpicture center
Solution:
abclist abc Geg v vO v s_ so a aO a % GesZeitt sis % Die Bahngleichung des Mannes ist al s_ v t diejenige des Zuges al s_ fracat^ + s_. Die Treffzeit erhält man durch Gleichsetzen der Bahngleichungen und Auflösen nach der Zeit al v t fracat^ + s_ fracat^ -vt + s_ t_pm tF fracv pm sqrtqtyv^ - a so a t_+ tpQ rightarrow t_- tm t tF t_- tmS abc phantom. center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY tkzFctdashed very thick darkred domain:vX tkzFctvery thick darkgreen domain:aX*x tikzpicture center abclist
Ein Mann rennt mit vO einem Zug nach der gerade soO weiter vorne mit aO aus dem Stillstand startet. abclist abc Wie viel Zeit vergeht nach der Abfahrt des Zuges bis der Mann ihn eingeholt hat? hfill bishopB abc Skizziere das Geschwindigkeit-Zeit-Diagramm Mann gestrichelt Zug durchgezogen in das folge Koordinatensystem. hfill abclist center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY %tkzFctdashed very thick darkred domain:vX %tkzFctvery thick darkgreen domain:aX*x tikzpicture center
Solution:
abclist abc Geg v vO v s_ so a aO a % GesZeitt sis % Die Bahngleichung des Mannes ist al s_ v t diejenige des Zuges al s_ fracat^ + s_. Die Treffzeit erhält man durch Gleichsetzen der Bahngleichungen und Auflösen nach der Zeit al v t fracat^ + s_ fracat^ -vt + s_ t_pm tF fracv pm sqrtqtyv^ - a so a t_+ tpQ rightarrow t_- tm t tF t_- tmS abc phantom. center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY tkzFctdashed very thick darkred domain:vX tkzFctvery thick darkgreen domain:aX*x tikzpicture center abclist
Meta Information
Exercise:
Ein Mann rennt mit vO einem Zug nach der gerade soO weiter vorne mit aO aus dem Stillstand startet. abclist abc Wie viel Zeit vergeht nach der Abfahrt des Zuges bis der Mann ihn eingeholt hat? hfill bishopB abc Skizziere das Geschwindigkeit-Zeit-Diagramm Mann gestrichelt Zug durchgezogen in das folge Koordinatensystem. hfill abclist center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY %tkzFctdashed very thick darkred domain:vX %tkzFctvery thick darkgreen domain:aX*x tikzpicture center
Solution:
abclist abc Geg v vO v s_ so a aO a % GesZeitt sis % Die Bahngleichung des Mannes ist al s_ v t diejenige des Zuges al s_ fracat^ + s_. Die Treffzeit erhält man durch Gleichsetzen der Bahngleichungen und Auflösen nach der Zeit al v t fracat^ + s_ fracat^ -vt + s_ t_pm tF fracv pm sqrtqtyv^ - a so a t_+ tpQ rightarrow t_- tm t tF t_- tmS abc phantom. center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY tkzFctdashed very thick darkred domain:vX tkzFctvery thick darkgreen domain:aX*x tikzpicture center abclist
Ein Mann rennt mit vO einem Zug nach der gerade soO weiter vorne mit aO aus dem Stillstand startet. abclist abc Wie viel Zeit vergeht nach der Abfahrt des Zuges bis der Mann ihn eingeholt hat? hfill bishopB abc Skizziere das Geschwindigkeit-Zeit-Diagramm Mann gestrichelt Zug durchgezogen in das folge Koordinatensystem. hfill abclist center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY %tkzFctdashed very thick darkred domain:vX %tkzFctvery thick darkgreen domain:aX*x tikzpicture center
Solution:
abclist abc Geg v vO v s_ so a aO a % GesZeitt sis % Die Bahngleichung des Mannes ist al s_ v t diejenige des Zuges al s_ fracat^ + s_. Die Treffzeit erhält man durch Gleichsetzen der Bahngleichungen und Auflösen nach der Zeit al v t fracat^ + s_ fracat^ -vt + s_ t_pm tF fracv pm sqrtqtyv^ - a so a t_+ tpQ rightarrow t_- tm t tF t_- tmS abc phantom. center tikzpicture tkzInitxmin xmax ymin ymax ystep tkzGridsub subxstep. subystep tkzDrawXright labeldfractsis tkzDrawYabovelabeldfracvsi tkzLabelX tkzLabelY tkzFctdashed very thick darkred domain:vX tkzFctvery thick darkgreen domain:aX*x tikzpicture center abclist
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