This problem offers students an
opportunity to test their understanding of division and to
consider different ways in which calculators can be used.
The interactivity also offers students a chance to explore the
relationships between the angles of turn that produce the same
vertical and horizontal displacements.
Follow up questions could include:
Imagine the dot starts at
the point (1,0), turns through 20 000 degrees anticlockwise and
then stops.
Through what angle(s) between 0 and 360 degrees would the dot
have had to turn if it was to finish the same distance
above/below the horizontal axis?
If I type 20 000¸ 360 into my calculator the answer on the
screen is 55.555556
How can this help me answer the question?
Similarly for 40 000 degrees.
If I type 40 000¸ 360 into my calculator the answer on the
screen is 111.11111
Similarly for 80 000 degrees.
If I type 80 000¸ 360 into my calculator the answer on the
screen is 222.22222
Similarly for 250 000 degrees.
If I type 250 000¸ 360 into my calculator the answer on
the screen is 694.44444
And what about horizontal displacements to the left/right of the
vertical axis?
Students could make up their own questions...