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MATHEMATICS OBJECTIVE
Students will be able to:
Identify and perform a rotation.
Describe a rotation.
Determine how a rotation affects a two-dimensional figure.
ESSENTIAL UNDERSTANDING
Rotations create images that have the same size, shape, and orientation as the preimages. A rotation is created by moving each point of the preimage around a fixed point, called the center of rotation. The number of degrees a figure is rotated around the center of rotation is the angle of rotation.
I can determine the degree and direction of a rotation.
I can perform a rotation of a figure about the origin.
UNDERSTANDING ROTATIONS
A rotation is a transformation that turns a figure about a fixed point
called the center of rotation. The angle of rotation is the number of
degrees the figure is rotated. The x- and y-coordinates change in
predictable ways when rotated.
COUNTERCLOCKWISE ROTATIONS ABOUT THE ORIGIN
Angle of rotation Transformation
90° (x, y) -> (-y, x)
180° (x, y) -> (-x, -y)
270° (x, y) -> (y, -x)
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