1 Chapter 9 Transformations and Design. 2 Objectives of the Chapter  Relate transformations to symmetry and design in logos  Analyze the geometric aspects.

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Presentation transcript:

1 Chapter 9 Transformations and Design

2 Objectives of the Chapter  Relate transformations to symmetry and design in logos  Analyze the geometric aspects of logos and other designs  Investigate the effects of geometric transformations using technology  Create a personal logo involving symmetry and transformation using technology  Investigate the characteristics of shapes that tile a plane  Create designs involving tiling patterns using technology

3 The Big Picture  Design a business  Create a logo (applying principles from chapter)  Design a product for your business

4 Transformations Rotations Turning a figure around a point Translations Slides objects up or down, left or right Dilatations Enlarges or reduces an object Reflections Flipping a figure over a line (mirror image)

5 Activity 1: The VVWA Verbal and Visual Word Association is a reading strategy for learning new vocabulary terms WordVisual Verbal = definition Personal Association Website:

6 Using Dynamic Geometry Software Geometer sketchpad Winplot ( Simple graphing program: Autograph

7 Designing a Logo Points to remember Keep it clean and simple Font Thick = strength and power Script = elegance Slant = movement Colour Blue, maroon, dark teal = conservative Black and white = contemporary

8 Designing a Logo Software cites to look at: Logo design software: Microsoft Photodraw CorelDraw ( Adobe Illustrator and Adobe Photoshop ( Macromedia Freehand or Flash ( Drawing program:

9 Tiling a Plane To tile a plane is to place shapes edge to edge to cover a flat surface without spaces or overlap. The ancient Greek word tesserae (tessellate) stands for the square blocks used in tiling. A repeating arrangement of shapes that completely covers a plane, with no gaps and no overlaps, is called a tessellation.

10 What is a tiling? Tilings or tessellations are coverings of the plane with tiles.

11 Most Famous: Escher “To me it remains an open question whether [this work] pertains to the realm of mathematics, or that of art.” ~M.C. Escher Escher was the most famous artist with respect to tessellations

12 Two types of activities 1. hands on (using materials) † Be creative 2. software (Tessellation Exploration) † 8 activities to follow that cover everything in the chapter (and then some) plus a quiz on symmetry and transformations (Activity 2)