Transcript
Page 1: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Students learn how to rotate a figure around a given degree around a center. Students know that rotations move lines to lines, rays to rays, segments to segments, and angles to angles, WHILE preserving angle measure, and line/segment lengths.

Page 2: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Key Ideas Notes.

1. Rotations turn a figure a certain degree, d, between     ­360 and 360 degrees. ­360 < d < 360

2. Degrees greater than 0, you rotate LEFT! (COUNTER CLOCKWISE)

3. Degrees less than 0, you rotate RIGHT! (CLOCKWISE)

4. Rotations are (usually) performed around a certain point in the plane, which we will call O.

5. Rotations are distance preserving and angle preserving (DOES NOT change angles or lengths).

Page 3: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Why does a rotation turn a figure d (degrees) between    ­360 and 360 degrees. ­360 < d < 360?

360° 100

Page 4: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Degrees greater than 0, you rotate LEFT!

Degrees less than 0, you rotate RIGHT!

WHY?!?

Page 5: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 90 degrees

Page 6: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 90 degrees

Page 7: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 90 degrees

Page 8: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Page 9: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 90 degrees

Page 10: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Page 11: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 180 degrees

Page 12: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 180 degrees

Page 13: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Page 14: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 270 degrees

Page 15: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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Rotating in the coordinate plane 270 degrees

Page 16: around a given degree around a center. Students know that ... 1... · Geometry Lesson 2 Rotating in the Coordinate Plane 2 Key Ideas Notes. 1. Rotations turn a figure a certain degree,

Geometry ­ Lesson 2 ­ Rotating in the Coordinate Plane

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