GRADE SIX: the required math elements

• Topics: Euclid, Books III, IV, constructions;
• History: Thales, Pythagoras, Plato;
• Activities: The Monochord, musical scales, ratios, canons of sculptural and architectural proportion; verify the Pythagorean theorem for arbitrary right triangles by measuring the sides and areas.
• Suggested Integrative Projects (one required):
  1. the Pythagorean Monochord and the Greek Musical Modes.
  2. The Golden Ratio in Greek Art and Architecture.
  3. The Root of 2 from Pythagoras to Plato.
  4. The Value of Pi.
  5. The Dimensions of the Temple of Solomon.
  6. The Ektar (or monochord) of India and the 72 melas (modes).
  7. Arithmetic in Phoenician notation.