transformations (Rotations) Today’s Lesson: What: transformations (Rotations) Why: . . . so I can both identify and perform rotations on the coordinate plane. How: . . . by taking accurate notes, participating, and complete IXL homework with a smart score of 70% or better.

As a figure is rotated (around the origin) on the coordinate plane, what happens to the original coordinates (x and y) of its points?

Short intro to rotations . . .

What about rotations ?? Stations of Rotation: 90º: 180º: 270º: 360º: AI Stations of Rotation: 90º: 180º: 270º: 360º: CLOCKWISE: from “12 o’clock” (top of coordinate graph), figure will rotate to the ____________________. COUNTER-CLOCKWISE: from “12 o’clock” (top of coordinate graph), figure will rotate to the _____________. 𝟏 𝟒 turn 𝟏 𝟐 turn 𝟑 𝟒 turn full turn right left

90° 270° 180° Clockwise Rotation Example . . . If you focus on the right angle on each figure, you can see how the figure itself is rotating as it travels around the coordinate plane.

Teacher will distribute a handout that goes with this activity . . . Let’s explore some rotations . . . Teacher will distribute a handout that goes with this activity . . . Rotation Applet

Original Coordinates: Rotating a triangle (together in class) . . . Counter-clockwise: AI BI CI A B C AI BI CI AI BI CI Original Coordinates: A (2, 1) B (2, 7) C (6, 1) 90º Quadrant ________ A ( , ) B ( , ) C ( , ) 180º 270º 360º II III IV I

Wrap-it-up/summary: As a figure is rotated (around the origin) on the coordinate plane, what happens to the original coordinates (x and y) of its points? The numbers “switch places” with every turn. Look at the Quadrant to determine if and where a negative sign is needed.

homework IXL: 7th Grade, X.8

END OF LESSON