Lesson+Plan+-+National+Library+of+Virtual+Manipulatives+by+Karen+Casselman

 Karen Casselman  Lesson Plan 6 – National Library of Virtual Manipulatives  INTC 5320  March 9, 2010  **OBJECTIVE: ** 7-4.18 Transformations: Translations, Dilations, Reflections and Rotations. Student will be able to graph, describe and perform translations, dilations, reflections and rotations in a coordinate plane. Student will be able to identify motions of rotations based on their angle of rotation. Student will be able to rotate a figure around a point. Student will be able to identify rotations and reflections as maintaining congruence. Student will be able to reflect a figure across the x and y axis. Student will be able to perform multiple transformations of a single figure. Student will be able to use the National Library of Virtual Manipulatives to apply the concepts of multiple transformations.  **ENDURING UNDERSTANDINGS: **Students will understand that shape and area can be conserved during mathematical transformations. Students will understand that coordinate geometry can be used to represent and verify geometric/algebraic relationships.  **DO NOW: ** Selected Questions taken from Spiral Review, Open Ended Test Prep and Logical Thinking  **ACTIVITIES: ** Do Now, Review Homework, Notes, Examples. Discuss how you can stretch or shrink clip art in Word and depending on where you pull it how it affects the relationship to the original figure. Dilations involve multiplication or division of all coordinates by the same value. Translations involve adding or subtracting the same value to each set of coordinates. Translations have congruent pre-images and images. Dilations have similar pre-images and images. Discuss reflections as they relate to a mirror and how you count the number of spaces between the figure and an axis to reflect. Demonstrate rotation about a point in a graph. Both rotations and reflections have congruent pre-images and images. Mention the concept of rotational symmetry. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Use the National Library of Virtual Manipulatives site and the activity “Transformations – Composition”. This manipulative lets students see the result of two (isometry) transformations sequentially, rotation followed by rotation, rotation followed by translation, etc. Few students have enough experience with transformations to be able to predict what happens when two operations are performed in sequence. The results of various attempts should be discussed, deciding whether there is just one way to accomplish the end result or whether there are several legitimate solutions. After experimenting to get a feeling for what it means to compose two operations, perhaps one of the first questions that students should explore is commutativity. The general question is difficult, so it is often helpful to put some controls on the transformations. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> With this virtual manipulative you can create objects with pattern block pieces and explore the effect of two transformations (Translations, Reflections, or Rotations) in any order. The "product" of two such transformations is another transformation of the plane, but the combined effect may be quite different from the effect of any single transformation. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> //<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Vocabulary: //<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Transformations, Dilations, Reflections, Translations, Rotations, Glide-Reflections //<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Materials needed and Resources: //<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">[] <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">[] <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">GUIDED PRACTICE: **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Teacher will first demonstrate one set of transformations in the National Library of Virtual Manipulatives. Teacher created notes and examples customized to match student needs and content. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">INDEPENDENT PRACTICE: **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> SEARCH Lesson 7-4.18 (Day 1) pages 212 and 213 and SEARCH Lesson 7-4.18 (Day 2) pages 216 and 217. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">STANDARDS: **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Technology: 8.1 A-F, 8.2 A-G <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Mathematics: 7.4.2.7 B.1.a-d