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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.
This printable worksheet may be useful: Round and Round and Round
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 \div 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 \div 360 into my calculator the answer on the screen is 111.11111.
Similarly for 80 000 degrees.
If I type 80 000 \div 360 into my calculator the answer on the screen is 222.22222.
Similarly for 250 000 degrees.
If I type 250 000 \div 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...
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?