calculus-2014-05-21

DRAFT c○ 2014 Julian Fleron, Philip Hotchkiss, Volker Ecke, Christine von Renesse
Figure 4.7. Tangent and normal lines to a circle.
Group Activity In groups of 4 - 8 students, use sidewalk chalk to draw a large, closed curve
for each group. (The curves should take up an area at least 6’ by 6’.) Have one student walk along
the curve, describing how their direction changes as they travel. Once comfortable with this, begin
drawing tangent lines at many different points along the curve. It helps to have other students with
yardsticks helping to align the tangent lines. Be careful about the placement of your feet, where your
line of sight is, etc. (If you were very, very small, riding a unicycle, with a Pinochio-like nose pointed
straight ahead of you, you would not need to worry quite so much about some of these larger scale
issues.)
26. Return to Investigation 16 and revise, as needed, what you had there in light of this new bodily
kinesthetic experience with tangent lines.
27. Return to Investigation 17 and revise, as needed, what you had there in light of this new bodily
kinesthetic experience with tangent lines.
28. Return to Investigation 18 and revise, as needed, what you had there in light of this new bodily
kinesthetic experience with tangent lines.
29. Return to Investigation 19 and revise, as needed, what you had there in light of this new bodily
kinesthetic experience with tangent lines.
30. Return to Investigation 20 and revise, as needed, what you had there in light of this new bodily
kinesthetic experience with tangent lines.
31. Return to Investigation 21 and revise, as needed, what you had there in light of this new bodily
kinesthetic experience with tangent lines.
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