polar plane and - Miss Sahady PSHS Class...
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Polar introduction.notebook 1 January 08, 2014 polar plane and graphing points Ch.8 Lesson 1
Transcript of polar plane and - Miss Sahady PSHS Class...
Polar introduction.notebook
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January 08, 2014
polar plane and graphing points
Ch.8 Lesson 1
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Target
Agenda
Purpose
Evaluation
Agenda
Purpose
Evaluation
TSWBAT: Use the radius and angle to create the coordinate for a point on a polar plane and graph it
New Years Reflection and goal
Expectations (morning routine, bathroom, new passes,Self tracker, class environment, corrections, outline for semester
Lesson
BAT: look at information in a different way, graph really cool trig functions that are seen in the real world, better understanding of vectors
3-2-1
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Warm-Up:1.
2.
On your Daily Sheet paper, tell me about the best thing that happened to you over break
On a separate sheet of paper, look through your folder and corrections and write the 2nd letter to yourself about how you are doing in this class, what you have learned about studying and your abilities, and the goals you have for yourself until the end of the semester
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Rectangular Vs. Polar
(r , θ)(x, y)
go over the radius amount
go around/up the θ amount
go over x
go up y
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Graphing a coordinate on the Polar Plane
(1, 90o)
(2,3π)
(3.5,π/4)
(5,300o)
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Polar Coordinate Options
If r is positive (r >0), add or subtract 2π
negative angles just go in the negative direction
if r is negative (r <0), add or subtract π to the angle if r were positve,
it will be origin reflected
(2,2π/3)
(2,8π/3)(2,2π/3 +2π)= (2,4π/3)(2,2π/3 2π)=
(2,5π/3)(2,2π/3 +π)= (2,π/3)(2,2π/3 π)=
(2,5π/3) (2,π/3)
Option 1
Option 2
)
))
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Having fun with Polar Coordinate Options
(1, 90o)
(2,3π)
(1,270o)(3.5,5π/4)(3.5,π/4)
(3.5,π/4)
(1, 450o)
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Your turn! Let's mix and match
Polar Coordinate Graphing examples
On the same polar plane
graph: (4,3π/4) (4,3π/4)
(4, π/4) (4,13π/4)
(4,23π/4) (4,23π/4)
(4,11π/4) (4,103π/4)
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Summarizing
TIME!
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Evaluation:
1.
2.Practice! pg.586 #112,2124,
Write four other coordinates that are the same point as (2.5, 36o)
Graph (2.5,36o)
