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Station 2: Section 9-3 Rotations
Rigor: Students will rotate figures about a point on and off the coordinate plane. Relevance: Rotations describe movement.
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Rotations A rotation turns all points about a point called the center of rotation. Rotation is always counterclockwise unless otherwise specified A Rotation is a rigid transformation such that the image is the same distance from center as pre- image and all points rotate to image by the same angle of rotation. Function Notation: R (P, mo) (pre-image) center of rotation angle of rotation
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Special Rotations in the Coordinate Plane Highlight coordinate rules on pg 385, add 360o Rule
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Rotation Examples from the Workbook
With tracing paper: Rotations worksheet With coordinate rules: Pg 385 example 3 Pg 387 #5 and 6
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Does Prime Notation Really Matter?
What transformation would map ABCD onto each square?
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Rotations in Regular Polygons
A regular polygon has congruent sides, congruent interior angles, and is convex. You can divide any regular polygon into congruent triangles. When you rotate a regular polygon about its center, the sides will line up when you rotate it a certain number of degrees called the central angle.
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Example Point X is the center of the regular polygon PENTA. What is the image for the given rotations? A) 72o rotation of E about X. B) r (216o, X) ( 𝐸𝑁 )
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Real Life Example The London Eye observation wheel takes 30min to make a complete rotation. What is the angle of rotation of a car after 5 minutes? How many minutes would it take for the car to rotate 270o?
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9-3 Standard Assignments
Primary Assignment: join.quizizz.com 9-3 Codes: Period 1: (due 7am) Period 3: (due 7am) Period 7: (due 7am) Secondary Assignment: Wkbk pg 389 #7 – 10; pg 390 #1, 4, 5, 7 (must show work for multiple choice)
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9-3 Honors Assignments Primary Assignment: join.quizizz.com
9-3 Codes: (due 7am) Period 2: Period 4: Period 6: Secondary Assignment: Workbook pg 389 #5 – 10; pg #1, 4, 5, 7 (must show work for multiple choice)
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