Transformational World Katie Bond and Laura Mowers Introduction

Transformational World Katie Bond and Laura Mowers

Introduction n The world is full of beautiful art that uses mathematical transformations. You are going to complete a Web Quest to find the awesome works of art that use one or many transformations • Transformations are: rotations, reflections, translations, and dilations.

Task n n Students will search the internet to find 4 pictures from 4 different places around the world that show a transformation. For each picture the student needs to create a caption containing the following information: - What site the picture is from - Where in the world the picture is from - What transformation is present The poster should be colorful, appealing, neat, and organized. Be creative and have fun!

Process n Search the internet for pieces of art that use one or more of the following: • Translations, Reflections, Rotations, and Dilations n Create a poster in Microsoft Word, by saving the image of your choice that you would like to display. In this poster you must have: • • The The image website that supplied the image artist, year, and country of origin transformation(s) used

Resources These are a few good resources, but you are welcome to use others. This is just a list to get you started! n n n n http: //images. google. com http: //www. artcyclopedia. com http: //www. wga. hu/index 1. html http: //www. travelphoto. net http: //www. trekearth. com/gallery http: //www. phototravels. net http: //www. mathplayground. com/Transformation. Workshop/Workshop. html http: //school. eb. com/lm/manipulatives/enu/workspaces/transformations_isometry/product. htm l Dilation: http: //nlvm. usu. edu/en/nav/frames_asid_295_g_3_t_3. html? open=activities&from=category_ g_3_t_3. html Reflection: http: //nlvm. usu. edu/en/nav/frames_asid_297_g_3_t_3. html? open=activities&from=category_ g_3_t_3. html Translation: http: //nlvm. usu. edu/en/nav/frames_asid_301_g_3_t_3. html? open=activities&from=category_ g_3_t_3. html Rotation: http: //nlvm. usu. edu/en/nav/frames_asid_299_g_3_t_3. html? open=activities&from=category_ g_3_t_3. html Compositions: http: //nlvm. usu. edu/en/nav/frames_asid_294_g_3_t_3. html? open=activities&from=category_ g_3_t_3. html

Evaluation

Conclusion n Congratulations on completing this Web Quest. Transformations are used in art from all cultures. Hopefully you found some great artwork that displayed the beauty of mathematical transformations.

Teacher Page n n n n 8. G. 7 - Describe and identify transformations in the plane, using proper function notation (rotations, reflections, translations, and dilations) 8. R. 1 - Use physical objects, drawings, charts, tables, graphs, symbols, equations, or objects created using technology as representations 8. CN. 6 - Recognize and provide examples of the presence of mathematics in their daily lives G. G. 54 Define, investigate, justify, and apply isometries in the Geometry plane (rotations, reflections, translations, glide reflections) Note: Use proper function notation. G. G. 55 Investigate, justify, and apply the properties that remain invariant under translations, rotations, reflections, and glide reflections G. G. 57 Justify geometric relationships (perpendicularity, parallelism, congruence) using transformational techniques (translations, rotations, reflections) G. G. 58 Define, investigate, justify, and apply similarities (dilations and the composition of dilations and isometries) G. G. 59 Investigate, justify, and apply the properties that remain invariant under similarities

Teacher Page Continued n n n G. RP. 2 Recognize and verify, where appropriate, geometric relationships of perpendicularity, parallelism, congruence, and similarity, using algebraic strategies G. CM. 3 Present organized mathematical ideas with the use of appropriate standard notations, including the use of symbols and other representations when sharing an idea in verbal and written form G. CM. 4 Explain relationships among different representations of a problem G. CM. 7 Read and listen for logical understanding of mathematical thinking shared by other students G. CN. 1 Understand make connections among multiple representations of the same mathematical idea