Baumtanz
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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Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Angenommen ihr hättet als Abschluss mit der ganzen Klasse Personen jede durchschnittlich meO einen Kreis um den Baum gemacht euch dabei gegenseitig die Hände gegeben so dass ihr deO Abstand voneinander hättet und wärt so mit tO Umlaufzeit um den Baum enquotegetanzt -- welche Rotationsenergie würde in dem von euch gebildeten Menschenkreis stecken? Jeder Mensch kann dabei in guter Näherung als punktförmige Masse betrachtet werden.
Solution:
Die NO Personen haben total m N m_ N me M Masse und bilden einen Kreis mit u N d_ N de u Umfang bzw. r fracupi fracN d_pi fracu pi r Radius. Das Trägheitsmoment des enquoteMenschenringes beträgt also J mr^ Nm_ leftfracN d_piright^ fracN^d_^m_pi^ M qtyr^ J womit die Rotationsenergie E frac J omega^ frac fracN^d_^m_pi^ leftfracpiTright^ fracN^d_^m_T^ frac J qtyw^ E approx ES EP beträgt. E fracm_d_^N^T^ ES EP
Angenommen ihr hättet als Abschluss mit der ganzen Klasse Personen jede durchschnittlich meO einen Kreis um den Baum gemacht euch dabei gegenseitig die Hände gegeben so dass ihr deO Abstand voneinander hättet und wärt so mit tO Umlaufzeit um den Baum enquotegetanzt -- welche Rotationsenergie würde in dem von euch gebildeten Menschenkreis stecken? Jeder Mensch kann dabei in guter Näherung als punktförmige Masse betrachtet werden.
Solution:
Die NO Personen haben total m N m_ N me M Masse und bilden einen Kreis mit u N d_ N de u Umfang bzw. r fracupi fracN d_pi fracu pi r Radius. Das Trägheitsmoment des enquoteMenschenringes beträgt also J mr^ Nm_ leftfracN d_piright^ fracN^d_^m_pi^ M qtyr^ J womit die Rotationsenergie E frac J omega^ frac fracN^d_^m_pi^ leftfracpiTright^ fracN^d_^m_T^ frac J qtyw^ E approx ES EP beträgt. E fracm_d_^N^T^ ES EP
Meta Information
Exercise:
Angenommen ihr hättet als Abschluss mit der ganzen Klasse Personen jede durchschnittlich meO einen Kreis um den Baum gemacht euch dabei gegenseitig die Hände gegeben so dass ihr deO Abstand voneinander hättet und wärt so mit tO Umlaufzeit um den Baum enquotegetanzt -- welche Rotationsenergie würde in dem von euch gebildeten Menschenkreis stecken? Jeder Mensch kann dabei in guter Näherung als punktförmige Masse betrachtet werden.
Solution:
Die NO Personen haben total m N m_ N me M Masse und bilden einen Kreis mit u N d_ N de u Umfang bzw. r fracupi fracN d_pi fracu pi r Radius. Das Trägheitsmoment des enquoteMenschenringes beträgt also J mr^ Nm_ leftfracN d_piright^ fracN^d_^m_pi^ M qtyr^ J womit die Rotationsenergie E frac J omega^ frac fracN^d_^m_pi^ leftfracpiTright^ fracN^d_^m_T^ frac J qtyw^ E approx ES EP beträgt. E fracm_d_^N^T^ ES EP
Angenommen ihr hättet als Abschluss mit der ganzen Klasse Personen jede durchschnittlich meO einen Kreis um den Baum gemacht euch dabei gegenseitig die Hände gegeben so dass ihr deO Abstand voneinander hättet und wärt so mit tO Umlaufzeit um den Baum enquotegetanzt -- welche Rotationsenergie würde in dem von euch gebildeten Menschenkreis stecken? Jeder Mensch kann dabei in guter Näherung als punktförmige Masse betrachtet werden.
Solution:
Die NO Personen haben total m N m_ N me M Masse und bilden einen Kreis mit u N d_ N de u Umfang bzw. r fracupi fracN d_pi fracu pi r Radius. Das Trägheitsmoment des enquoteMenschenringes beträgt also J mr^ Nm_ leftfracN d_piright^ fracN^d_^m_pi^ M qtyr^ J womit die Rotationsenergie E frac J omega^ frac fracN^d_^m_pi^ leftfracpiTright^ fracN^d_^m_T^ frac J qtyw^ E approx ES EP beträgt. E fracm_d_^N^T^ ES EP
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