Session 7, Part B:
Rotation Symmetry (30 minutes)

In This Part: Determining Rotation Symmetry | Creating Rotation Symmetry

 If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotation symmetry. The point around which you rotate is called the center of rotation, and the smallest angle you need to turn is called the angle of rotation. This figure has rotation symmetry of 72°, and the center of rotation is the center of the figure:

Use the Interactive Activity to explore the rotation symmetry of the figures in Problem B1.

Problem B1

 a. Each of these figures has rotation symmetry. Can you estimate the center of rotation and the angle of rotation? b. Do the regular polygons have rotation symmetry? For each polygon, what are the center and angle of rotation?

 Video Segment In this video segment, watch the participants as they explore rotational symmetry and try to come up with the rule for regular polygons' rotational symmetry. Were you able to come up with the rule? Does the rule work only for regular polygons or also for irregular ones? If you are using a VCR, you can find this segment on the session video approximately 16 minutes and 49 seconds after the Annenberg Media logo. The second segment begins approximately 18 minutes and 30 seconds after the Annenberg Media logo.

 Note 2 As you will see in the next section, in order to have rotation symmetry, the center of rotation does not have to be the center of the figure. A figure can have rotation symmetry about a point that lies outside the figure.

 Selected diagrams in Part B: Determining Rotation Symmetry taken from IMPACT Mathematics, Course 3, developed by Educational Development Center, Inc. p. 302. © 2000 Glencoe/McGraw-Hill. Used with permission. www.glencoe.com/sec/math
 Session 7: Index | Notes | Solutions | Video
The text passage describes the concept of rotation symmetry and provides a problem (Problem B1) that asks the reader to estimate the center and angle of rotation for given figures and to determine if regular polygons have rotation symmetry.
single_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Session 7, Part B:
Rotation Symmetry (30 minutes)

In This Part: Determining Rotation Symmetry | Creating Rotation Symmetry

 If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotation symmetry. The point around which you rotate is called the center of rotation, and the smallest angle you need to turn is called the angle of rotation. This figure has rotation symmetry of 72°, and the center of rotation is the center of the figure:

Use the Interactive Activity to explore the rotation symmetry of the figures in Problem B1.

Problem B1

 a. Each of these figures has rotation symmetry. Can you estimate the center of rotation and the angle of rotation? b. Do the regular polygons have rotation symmetry? For each polygon, what are the center and angle of rotation?

 Video Segment In this video segment, watch the participants as they explore rotational symmetry and try to come up with the rule for regular polygons' rotational symmetry. Were you able to come up with the rule? Does the rule work only for regular polygons or also for irregular ones? If you are using a VCR, you can find this segment on the session video approximately 16 minutes and 49 seconds after the Annenberg Media logo. The second segment begins approximately 18 minutes and 30 seconds after the Annenberg Media logo.

 Note 2 As you will see in the next section, in order to have rotation symmetry, the center of rotation does not have to be the center of the figure. A figure can have rotation symmetry about a point that lies outside the figure.

 Selected diagrams in Part B: Determining Rotation Symmetry taken from IMPACT Mathematics, Course 3, developed by Educational Development Center, Inc. p. 302. © 2000 Glencoe/McGraw-Hill. Used with permission. www.glencoe.com/sec/math
 Session 7: Index | Notes | Solutions | Video
user
The text passage describes the concept of rotation symmetry and provides a problem (Problem B1) that asks the reader to estimate the center and angle of rotation for given figures and to determine if regular polygons have rotation symmetry.

TYPE: SINGLE_QUESTION