MC Marienkäfer auf Scheibe
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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Video
\(\LaTeX\)
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Exercise:
Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
Solution:
pranswerstrue Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
Solution:
pranswerstrue Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
Meta Information
Exercise:
Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
Solution:
pranswerstrue Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
Solution:
pranswerstrue Ein Marienkäfer sitzt auf halbem Weg zwischen Drehachse und Rand auf einer Drehscheibe ein zweiter sitzt am Rand der Drehscheibe. Die Scheibe rotiert mit einer Umdrehung pro Sekunde. Wie gross ist die Winkelgeschwindigkeit des ersten Marienkäfers im Vergleich zum zweiten? center tikzpictureline caproundline joinroundStealth scale. % parameters defa. % x-radius of disk defb. % y-radius of disk deft. % thickness %--- side wall front --- pathfillgray!draw a arcstart angle angl x radiusa y radiusb ---a-t arcstart angle angle x radiusa y radiusb --cycle; %--- top ellipse rim --- draw -a arcstart angle angle x radiusa y radiusb; % back edge draw a arcstart angle angl x radiusa y radiusb; % front edge %--- rotation axis rod --- drawblue dashed -- .; drawblue dashed -t-. -- ; % ring + arrow indicating rotation drawcolorblue . ellipse x radius. y radius.; draw- blue . ++:. arcstart angle angle x radius. y radius.; %--- two little "bugs" on the disk simple doodles --- scope defbug##% scopeshift## fillcolorred circleradius.; fill -.. circleradius.; fill .. circleradius.; fill -. circleradius.; draw -. -- -.; draw . -- .; draw . -- .; draw -.. -- -..; draw .. -- ..; scope bug bug nodecolorred above at tiny ; nodecolorred above at tiny ; scope filldraw circle .cm; %--- axes centered at rotation axis --- %scopeshift. % drawcolorgreen!!black - -- nodeabove z; % vertical up %drawcolorgreen!!black - -- noderight x; % radially outward %drawcolorgreen!!black - -- -.- nodebelow y;% sideways %scope tikzpicture center oneparcheckboxes choice Halb so gross. CorrectChoice Gleich gross. choice Doppelt so gross. choice Nicht bestimmbar. oneparcheckboxes
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