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| 11.2 Concepts In section 11.2, translation, rotation, and reflection mappings of points in the plane are precisely described. In a similar manner, precisely describe translation, rotation, and reflection motions of a three-dimensional object in three-dimensional space. Then give a concrete (real life) example of where each motion can be found. 11.2 Concepts Two students were discussing the four types of transformations they had learned: rotations, reflections, translations, and glide reflections. One student claimed that any one of these four transformations can be replaced by three or fewer reflections. Explain why this student is correct and give examples for each type of transformation, or use counter examples to show why the student was incorrect. 11.2 Teaching Students need to learn to physically and mentally change the position, orientation, and size of objects in systematic ways as they develop their understandings about congruence, similarity, and transformations. NCTM Standards 2000, page 43Research has shown that students were more successful in understanding motions in geometry when taught by methods that actually show the movements. Devise and describe one activity for each of the motions (translation, rotation, reflection, and glide-reflection) that would involve students moving objects. |