Georgia HomeroomHM.LMIR.3Ancient Greek Mathematics
Engage in the mathematical and cultural accomplishments of the ancient Greeks in order to grasp the foundational aspects of modern mathematics.
Appears in: Mathematics, High School
Expectations
Greek geometry
HM.LMIR.3.1Prove statements in a deductive system by using its definitions, postulates, and axioms
HM.LMIR.3.2Prove the first five propositions in Book I of Euclid’s Elements.
HM.LMIR.3.3Construct a regular pentagon with a straight-edge and compass.
HM.LMIR.3.4Compute the areas of regular polygons by Heron’s formulas.
Greek algebra and number sense
HM.LMIR.3.5Translate Greek geometric algebra into modern algebraic notation.
HM.LMIR.3.6Find the first four perfect numbers using Euclid's formula.
HM.LMIR.3.7Justify statements concerning figurate numbers using both graphical (as in the manner of the Greeks) and algebraic methods.
HM.LMIR.3.8Solve systems of linear and nonlinear equations using Diophantus' method.
Greek culture and society
HM.LMIR.3.9Explain the distinction made between number and magnitude, commensurable and incommensurable, and arithmetic and logistic, the cultural factors inherent in this distinction, and the logical crisis that occurred concerning incommensurable (irrational) magnitudes.
HM.LMIR.3.10Describe the cultural aspects of Greek society that influenced the way mathematics developed in ancient Greece.
HM.LMIR.3.11Describe the theories for the rise of intellectual thought in ancient Greece and the factors involved in its collapse.
HM.LMIR.3.12Analyze factors involved in the rise and fall of ancient Greek society.
Georgia Milestones coverage
No Georgia Milestones blueprint cites this standard.