HM.LMIR.4: HM.LMIR.4

HM.LMIR.4

HM.LMIR.4.1Translate medieval mathematical problems that involve linear, quadratic, or cubic equations into modern notation and solve them in a variety of ways.HM.LMIR.4.10Use historical multiplication and division algorithms.HM.LMIR.4.2Use Khayyam’s geometric construction to find a solution to a cubic equation.HM.LMIR.4.3Identify cyclic quadrilaterals and find associated lengths by Ptolemy’s Theorem.HM.LMIR.4.4Investigate the relationships among the sides and angles of a spherical triangle.HM.LMIR.4.5Describe the algebraic and geometric contributions of Islamic mathematicians in the Middle Ages.HM.LMIR.4.6Describe the algebraic and geometric contributions of Chinese mathematicians in the Middle Ages.HM.LMIR.4.7Describe the transition of Hindu-Arabic numerals from regional use in the 10th century to wide-spread use in the 15th century.HM.LMIR.4.8Describe the transmission of ideas from the Greeks, through the Islamic peoples, to medieval Europe.HM.LMIR.4.9Describe the influence of the Catholic Church and Charlemagne on the establishment of mathematics as one of the central pillars of education.
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