GRADE EIGHT: the required elements

• Topics:
  • Euclid, Book VI, selected proofs

    Note: Book VI is way too much, let's focus on Book II here, as geometric algebra and the golden ratio is very compatible with the algebra of this grade.

  • trigonometry

    Note: Too early, postpone to grade 9.

  • logic

    Note: Too early, postpone to grade 9.

  • algebra
• History:
  • Islamic-Christian mathematical and scientific cultural exchange
• Suggested Integrative Projects (one required):
  1. The Indian numerals. Note: Belongs in Grade 7
  2. The geometric algebra constructions of Euclid.
  3. Sacred calligraphy and the birth of Al-jabr.
  4. The 3-sphere in Dante's Divine Comedy.
  5. The algebra of Ibn Tusi.
  6. African divination.
  7. Proportions of Gothic cathedrals, ancient geometry.
  8. The geometry of Giotto.
  9. The Hermetic Corpus, astrology, and optics.