Essential+Questions

What role does math play in artistic endeavors?

How do these traditionally disparate disciplines (art and science) complement and inform one another?

How are the processes behind artistic creation and scientific exploration similar? http://pd.npr.org/anon.npr-mp3/npr/wesat/2007/12/20071229_wesat_09.mp3?dl=1

http://www.arts.gov/artworks/?tag=intersection-of-arts-and-sciences

similar figures: http://ericjohnsonstudio.com/beta2/workinprogress/index.php http://ericjohnsonstudio.com/beta2/workinprogress/index.php

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How might math or engineering or science help us communicate through art?

Are there any tools, strategies or processes or procedures that artists, mathematicians and engineers all use? or, What tools or strategies might artists, mathematicians, and engineers find useful (and in common) to do their jobs?

Is mathematical understanding essential to creating art, or is an artist's eye essential to doing math? How does mathematical understanding change one's appreciation of and craft in art?

How is math used in art? How is engineering used in art?

How does mathematics and mathematical terminology help us describe and communicate about art and the world around us?

generalizations

Magnet Geometry: Unit Title - Similarity (Josephine Letts, VA Beach) ➢ A change in one dimension of similar objects results in changes in area and volume in predictable ratios. ➢ A constant ratio exists between lengths of corresponding parts of similar figures. ➢ Similar figures are dilations of each other or transformational images of each other. ➢ Specific angle/side formulas identify similar triangles that are not dependent on the position of the triangle. ➢ Proportional relationships contained in similar triangles enable calculation of measurements that are not otherwise accessible. ➢ Scale factor represents the constant ratio that is the essential component for creating models and scale drawings.

1. Situations involving length, mass and volume require appropriate tools and units of measurement. 2. Problems involving perimeter and area are solved efficiently through the use of appropriate formulas.

Level 6 1. The use of unit multipliers is a method to perform single step conversions within measurement systems of length. 2. Situations involving length and area require appropriate tools, formulas and units of measurement.

Level 5 1. Customary and metric systems are the standard units of measurement. 2. Formulas can be used to determine measurement.

Level 4 1. Different situations require appropriate units and tools for measurement. 2. Non-standard units represent approximations for actual measurements of standard units.

Level 3 1. Standard tools are used for measurement.