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MP 1 Performance Assessment Geometry in Art, Architecture, and Nature

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Introduction Our world is a collection of geometric figures in many shapes and sizes. Artists, architects, and naturalists have long been inspired by these geometric relationships. Fortunately, their work has been (and can be) captured in photographs and images.

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It is your job to search the world around you for examples of this phenomenon. You may take your own photographs using a digital camera or search the web for appropriate images.

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Your photographs or images must highlight specific geometric properties below and you will present your findings in a PowerPoint. Your imagination and creativity will be your greatest tools.

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TASK Your task is to explore the world around you and find occurrences of specific geometric relationships. Your mission is divided into two parts.

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The first part will require you to find at least fifteen photographs (using either a digital camera or images found on the web) that illustrate specific geometric properties. You must show at least five art, five architecture, and five nature pictures. You must include all the indicated information on each picture.

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The second part will be to create a PowerPoint presentation of your findings. You will email me your final PowerPoint project to my school email address. Put your name and class period in the SUBJECT of the email.

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PROCESS PART I – THE PHOTOGRAPGHS AND IMAGES You will take specific photographs or find images on the web of the following geometric relationships used in art, architecture, and nature. The pictures that you use must be appropriate for presentation in the classroom. You will use one slide for each of the properties listed below. Your entire project must have at least 15 slides in addition to an Introduction Slide, a Conclusion Slide, and a Work Sited Slide.

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Find images that show: 1.A triangle that is right, obtuse, or acute; and isosceles, equilateral, or scalene. 2.An angle pair: vertical, supplementary, complementary, or a linear pair. 3.A pair of lines: skew, parallel, perpendicular, or intersecting at various angles. 4.Congruent triangles: two or more congruent triangles in the same picture 5.A triangle inscribed in a circle 6.A regular polygon with at least 5 sides 7.A rectangle and a rhombus and a square in the same picture 8.A circle and its tangent 9.Two non-congruent polygons with the same number of sides

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Find images that show: 10. A cylinder or a cone 11. A set of concentric circles 12. A full sphere 13. A Circle showing at least two of the following; chord, radius, diameter, arc, or tangent. 14. At least 2 connected 3D Figures: prism, cylinder, cube, pyramid, cone, or (hemi)sphere, 15. Your Choice: May be any geometric relationship that you find intriguing, interesting or perhaps puzzling. Explain why you chose this picture/ image and its geometric significance.

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PART II—THE PRESENTATION 1.Make a title slide and choose an aesthetic image for it. Include your name, the title of the project, the name/period of the class, and the due date. 2.You will need a minimum of 15 slides showing the geometric relationships. You must show a variety of relationships—five art, five architecture, and five nature. 3.Each slide should a.Be labeled with the property name & number from PART I b.Give the proper name of object/building, name of the artist/architect c.Have each figure highlighted d.Have the relevant geometric information about the picture

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4. The conclusion slide will include some overall thoughts about the project: a.What was your method of finding pictures and images? b.Did you enlist any help? c.What was the most difficult picture or image to find? d.What was the easiest? e.Did you enjoy doing this project? 1.Why or Why not? 5. Finally, a work-sited page. Each image slide should have a corresponding siting.

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EVALUATION You will be evaluated on the two parts of the project: the photographs and images, and the presentation. You must have fifteen photographs or images that adequately show the specified geometric relationships. The information on the slides must be presented in a pleasing way and contain no errors in usage and mechanics. The information must be mathematically accurate.

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DUE DATE Wednesday, November 21, 2012 Must be emailed to me (mary_krause@nplainfield.org)mary_krause@nplainfield.org by the end of the school day 11/21/12.

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