Journal 1: How do you use a square to construct a golden rectangle? Look for use of the Pythagorean Theorem to explain where comes from. Journal Entry 2: Use the words and to show the ‘length’ ‘width’ proportion from which the golden ratio is derived. Look for a proportion like . Vocabulary golden mean Archimedean spiral golden rectangle continued fraction Golden Ratio divine proportion golden section equiangular spiral golden triangle explicit formula phi, φ golden gnomon recursive formula Resources and Materials Activity 8.6.1 Constructing a Golden Rectangle Activity 8.6.2 Golden Triangles Activity 8.6.3 Fibonacci Sequences and the Golden Ratio Activity 8.6.4 A Spiral from the Golden Ratio Activity 8.6.5 Extensions for the Golden Ratio Dalton, LeRoy C. Algebra in the Real World: 38 Enrichment Lessons for Algebra 2. Palo Alto, CA: Dale Seymour Publications, 1983. Hargittai, Istvan & Magdolna Hargittai. (1994). Symmetry: A Unifying Concept. Bolinas, CA: Shelter Publications, Inc. Hilton, Peter & Jean Pedersen. (1988). Menlo Park, CA: Build Your Own Polyhedra. Addison-Wesley Pub’g Co. [How to fold a regular pentagon from long strip, pp. Huntley, H. E. (1970). New York: Dover Publications, Inc. The Divine Proportion. Jacobs, Harold R. (1982). Mathematics: San A Endeavor. Second Edition. Francisco: W. H. Freeman and Co. Kappraff, Jay. (1991). Connections: The Geometric Bridge Between Art and Science. New York: McGraw Hill. (pp. 422 425) – Kinsey, L. Christine and Theresa E. Moore. (2002). Symmetry, Shape, and Space: An Emeryville, CA: Key College Introduction to Mathematics through Geometry. Publishing. Newman, Rochelle & Martha Boles (1987). Bradford, MA: Universal Patterns. Pythagorean Press.
Journal 1: How do you use a square to construct a golden rectangle? Look for use of the Pythagorean Theorem to explain where comes from. Journal Entry 2: Use the words ‘length’ and ‘width’ to show the proportion from which the golden ratio is derived. Look for a proportion like . Vocabulary Archimedean spiral continued fraction divine proportion equiangular spiral explicit formula golden gnomon golden mean golden rectangle Golden Ratio golden section golden triangle phi, φ recursive formula Resources and Materials Activity 8.6.1 Constructing a Golden Rectangle Activity 8.6.2 Golden Triangles Activity 8.6.3 Fibonacci Sequences and the Golden Ratio Activity 8.6.4 A Spiral from the Golden Ratio Activity 8.6.5 Extensions for the Golden Ratio Dalton, LeRoy C. Algebra in the Real World: 38 Enrichment Lessons for Algebra 2. Palo Alto, CA: Dale Seymour Publications, 1983. Hargittai, Istvan & Magdolna Hargittai. (1994). Symmetry: A Unifying Concept. Bolinas, CA: Shelter Publications, Inc. Hilton, Peter & Jean Pedersen. (1988). Build Your Own Polyhedra. Menlo Park, CA: Addison-Wesley Pub’g Co. [How to fold a regular pentagon from long strip, pp. Huntley, H. E. (1970). The Divine Proportion. New York: Dover Publications, Inc. Jacobs, Harold R. (1982). Mathematics: A Endeavor. Second Edition. San Francisco: W. H. Freeman and Co. Kappraff, Jay. (1991). Connections: The Geometric Bridge Between Art and Science. New York: McGraw Hill. (pp. 422 – 425) Kinsey, L. Christine and Theresa E. Moore. (2002). Symmetry, Shape, and Space: An Introduction to Mathematics through Geometry. Emeryville, CA: Key College Publishing. Newman, Rochelle & Martha Boles (1987). Universal Patterns. Bradford, MA: Pythagorean Press.
Unit8_Investigation6_overview.docx