Objective: The student will be able to solve problems involving tangent and normal lines to a curve.
Discussion: The student must first solve the nineteen problems involving tangents and normals
to get either the equation of a line or a single point.
If the answer for Saccheri
were the line y = x + 1, then the student would
put the five ordered pairs, (-2, -1), (-1, 0),
(0, 1), (1, 2), and (2, 3) in the boxes of the Clue
Worksheet. By each name, there is
an appropriate number of empty spaces (from one to five)
depending on the number
of ordered pairs that lie on the normal or tangent line. The student should also
place a small letter in each of the boxes of the seating chart as pictured below.
This will facilitate the solving of the puzzle. The goal is to
locate the one seat for
each of the nineteen students.
