Polar Coordinates And Complex Numbers Worksheets With Answers - Math 611b Page 2
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50SCO: By the end of grade
Elaborations - Instructional Strategies/Suggestions
12, students will be
Polar Coordinates (9.1)
expected to:
C97 construct and examine
graphs in the polar
Terms students should become familiar with are:
plane
< pole
< polar axis
< polar equation
Student groups should be able to graph points and polar equations
2
containing either “r” or “
”.
Students should recognize that the polar coordinates are not specific to
only one point much like angles in standard position can be defined by
more than one standard angle.
2
If a point P has polar coordinates (r,
), then P can also be represented
2
B
2
B
as (r,
+ 2
k) or (r,
+ (2k + 1)
), where “k” is any integer.
Student groups should recognize the distance formula for a Polar Plane
θ
θ
=
+
−
−
2
2
P P
r
r
2
r r
cos(
)
1 2
1
2
1 2
2
1
as the cosine formula in the rectangular plane.
θ
=
+
−
2
2
c
a
b
2
ab
cos
Note: Students will be expected to research the applications and
advantages of the Polar Plane.
Note: Students will be expected to get a table of values( manually or
using the TI-83), draw the graph on polar graph paper and check the
result on the TI-83.
2
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