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Transformational World Katie Bond and Laura Mowers. Introduction. 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
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Introduction • 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 • 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 • Search the internet for pieces of art that use one or more of the following: • Translations, Reflections, Rotations, and Dilations • 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 image • The website that supplied the image • The artist, year, and country of origin • The 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! • http://images.google.com • http://www.artcyclopedia.com • http://www.wga.hu/index1.html • http://www.travelphoto.net • http://www.trekearth.com/gallery • http://www.phototravels.net • http://www.mathplayground.com/TransformationWorkshop/Workshop.html • http://school.eb.com/lm/manipulatives/enu/workspaces/transformations_isometry/product.html • 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
Conclusion • 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 • 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 • 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 and make connections among multiple representations of the same mathematical idea