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End Warm Up Write rules for the following Reflection across the x-axis
Reflection across the line y = x Describe the transformation: (x,y) (-x, y) 10 minutes End
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Answers Write rules for the following
Reflection across the x-axis (x,y) (x, -y) Reflection across the line y = x (x,y) (y, x) Describe the transformation: (x,y) (-x, y) Reflection across the y-axis
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Rotations
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Reflection Definition: A rotation is a transformation that turns or spins a figure about a fixed point, often the origin. *** All rotations are counterclockwise about the origin unless otherwise stated***
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Counter Clockwise
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Rotations Investigation
Rotations about the origin have similar algebraic rules as reflections. A rotation, or turning motion, is determined by a point called the center of the rotation and a directed angle of rotation.
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Group Work Time Keeper: 15 minutes
Resource Manager: Rotations Worksheet (1/member) Reader: Read problems out loud to group Spy Monitor: Check in with other groups if you are stuck
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Problem 2 Time Keeper: Set 20 minutes
Resource Manager: Grab worksheet for each member Reader: Read problems out loud to group Spy Keeper: Check with other groups if you are stuck Page 201 Skip c) and f)
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General Rules for Rotations
Rotation of 90° CCW 180° 270° CCW 360°
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Example Write the rule and graph the image of a 90° rotation
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Another way to rotate! Let’s look at another way to rotate without using the rules!
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Discussion What do our three types of transformations have in common?
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Isometry An isometry is a transformation in which the preimage and image are congruent What does it mean to be congruent? Two figures are congruent if they have the exact same size and shape (≅)
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Assessment 3-2-1: Write down 3 things you learned today, 2 things you have a question about, and 1 thing you found interesting Homework: Worksheet
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