Social Studies Connection

How does History relate/ help to Algebra

• • Egyptian Algebra

Egyptian math and algebra are based on the Rhind Papyrus written in 1650 B.C.-1850 B.C. At the time they could only solve linear equations in “one unknown” We call that method today, “method of false position.” It was rhetorical, used no symbols and were stated AND solved verbally

Rhind Papyrus

• • Cairo Papyrus

300 B.C. Egyptians were solving problems that were equivalent to having two second degree equations in two unknowns. Egyptians were not very good at handling fractions, though

• • Babylonian Algebra

Old Babylonian math period (1800 - 1600 B.C.) was advanced. Their numeric system was much more higher in advanced. They knew of solving equivalent quadratic equations . Even though they recognized one root, it had to be positive, they created the quadratic formula, only recognized positive rational numbers, and use of symbols, but would never explain their explanations

• • Greek Geometrical Algebra

Greeks used classical method and did not recognize irrational numbers. Many equations of algebra.They achieved in applying deductive reasoning and describing procedures

• • Diophantine Algebra

Greek mathematician, Diaphanous, in 250 A.D., He first showed the way to shorten words, letters, in the middle of words and writing equations the rhetorical style were common and remained for a long time. He also solves indeterminate equations. He had no “determined” method. He accepted only rational and positive numbers, thus ignoring all other numbers and solutions that were not equivalent. If an quadratic equation had more than one solution, he only picked one, but that doesn't mean that A system of thought in which conclusions are justified by means of previously assumed or proved statements

Diaphanous