Grafisches Bestimmen
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:
Bestimmen Sie mit Hilfe der folgen Kurven a - d die enumerate item zurückgelegten Strecken sowie item die mittleren Geschwindigkeiten enumerate aller Kurven. center tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above xm; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right a; draw fillblack circle mm; draw fillblack circle mm; draw domain:thick plotidq samples x.*x*x node right b; draw fillblack circle mm; draw fillblack circle mm; tikzpicture hspacecm tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above v; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right c; draw fillblack circle mm; draw fillblack circle mm; draw thick -- node right d; draw fillblack circle mm; draw fillblack circle mm; tikzpicture center
Solution:
Man kann ohne zu rechnen gleich x_ a x_b und v_c aus dem Diagramm ablesen. enumerate item Es gilt: x_a m quad textund quad x_b m und x_c v_t s m sowie x_d v_t + fracv_t s + frac s .m. item Es gilt: v_a fracDelta xDelta t approx . und v_b fracDelta x'Delta t approx . sowie v_c und v_d fracv_+v_ approx .. enumerate
Bestimmen Sie mit Hilfe der folgen Kurven a - d die enumerate item zurückgelegten Strecken sowie item die mittleren Geschwindigkeiten enumerate aller Kurven. center tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above xm; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right a; draw fillblack circle mm; draw fillblack circle mm; draw domain:thick plotidq samples x.*x*x node right b; draw fillblack circle mm; draw fillblack circle mm; tikzpicture hspacecm tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above v; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right c; draw fillblack circle mm; draw fillblack circle mm; draw thick -- node right d; draw fillblack circle mm; draw fillblack circle mm; tikzpicture center
Solution:
Man kann ohne zu rechnen gleich x_ a x_b und v_c aus dem Diagramm ablesen. enumerate item Es gilt: x_a m quad textund quad x_b m und x_c v_t s m sowie x_d v_t + fracv_t s + frac s .m. item Es gilt: v_a fracDelta xDelta t approx . und v_b fracDelta x'Delta t approx . sowie v_c und v_d fracv_+v_ approx .. enumerate
Meta Information
Exercise:
Bestimmen Sie mit Hilfe der folgen Kurven a - d die enumerate item zurückgelegten Strecken sowie item die mittleren Geschwindigkeiten enumerate aller Kurven. center tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above xm; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right a; draw fillblack circle mm; draw fillblack circle mm; draw domain:thick plotidq samples x.*x*x node right b; draw fillblack circle mm; draw fillblack circle mm; tikzpicture hspacecm tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above v; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right c; draw fillblack circle mm; draw fillblack circle mm; draw thick -- node right d; draw fillblack circle mm; draw fillblack circle mm; tikzpicture center
Solution:
Man kann ohne zu rechnen gleich x_ a x_b und v_c aus dem Diagramm ablesen. enumerate item Es gilt: x_a m quad textund quad x_b m und x_c v_t s m sowie x_d v_t + fracv_t s + frac s .m. item Es gilt: v_a fracDelta xDelta t approx . und v_b fracDelta x'Delta t approx . sowie v_c und v_d fracv_+v_ approx .. enumerate
Bestimmen Sie mit Hilfe der folgen Kurven a - d die enumerate item zurückgelegten Strecken sowie item die mittleren Geschwindigkeiten enumerate aller Kurven. center tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above xm; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right a; draw fillblack circle mm; draw fillblack circle mm; draw domain:thick plotidq samples x.*x*x node right b; draw fillblack circle mm; draw fillblack circle mm; tikzpicture hspacecm tikzpicturescale. draw thick-latex -. -- node right ts; draw thick-latex -. -- node above v; draw drawgray grid ..; node at -. ; node at -. ; draw thick -- node right c; draw fillblack circle mm; draw fillblack circle mm; draw thick -- node right d; draw fillblack circle mm; draw fillblack circle mm; tikzpicture center
Solution:
Man kann ohne zu rechnen gleich x_ a x_b und v_c aus dem Diagramm ablesen. enumerate item Es gilt: x_a m quad textund quad x_b m und x_c v_t s m sowie x_d v_t + fracv_t s + frac s .m. item Es gilt: v_a fracDelta xDelta t approx . und v_b fracDelta x'Delta t approx . sowie v_c und v_d fracv_+v_ approx .. enumerate
Contained in these collections
| Title | Creator | Matched on |
|---|---|---|
| Velofahren | cm | tags |
| Herrchen und Hündchen I | cm | tags |
| Bewegung dargestellt | cm | tags |
| Bewegungen dargestellt | cm | tags |
| Gumpi-Ball | cm | tags |

