Rotations.

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Presentation transcript:

Rotations

Rotation is simply turning about a fixed point. For our purposes, the fixed point will be the origin Rotate 90 counterclockwise about the origin Rotate 180 about the origin Rotate 90clockwise about the origin

CLOCKWISE is a right turn.

Hands in the air on the wheel. Left hand is x Right hand is y

Which hand is at 12 o’clock first? Make a clockwise turn. Which hand is at 12 o’clock first? X

Rotate 90 degrees clockwise. Change the sign of x & switch the order of x and y.

Example: Rotate 90 degrees clockwise.

Rotate 90° clockwise 3 7 4 -1 1 -3

Rotate 90° clockwise

COUNTERCLOCKWISE is a left turn.

Hands in the air on the wheel. Left hand is x Right hand is y

Make a counterclockwise turn. Which hand is at 12 o’clock first? Y

Rotate 90 degrees counterclockwise. Change the sign of y & Switch the order of x and y

Example: Rotate 90 degrees counterclockwise.

Rotate 90° counterclockwise

Rotate 90° counterclockwise

Rotating 180 degrees changes the sign of the x and the sign of the y.

change the sign of both x & y. Rotate 180 degrees. Keep the order & change the sign of both x & y.

Example: Rotate 180 degrees.

Rotate 180°

Rotate 180°

Practice Does the Brain Good. -Rotations Practice Sheet -Quiz Friday Practice Finish Classwork

Rotations

Rotation is simply turning about a fixed point. For our purposes, the fixed point will be the origin

CLOCKWISE is a _______ turn.

Rotate 90 degrees clockwise. Change the sign of ____ & switch the order of __ and __.

Example: Rotate 90 degrees clockwise.

Rotate 90° clockwise

Rotate 270° counter clockwise

COUNTERCLOCKWISE is a ______ turn.

Rotate 90 degrees counterclockwise. Change the sign of ____ & Switch the order of ___ and ___

Example: Rotate 90 degrees counterclockwise.

Rotate 90° counterclockwise

Rotate 270° clockwise

change the ______ of both x & y. Rotate 180 degrees. Keep the _______ & change the ______ of both x & y.

Example: Rotate 180 degrees.

Rotate 180°

Rotate 180°