Review 10/5/2012 10/5/2012 10/8/2012 10/9/2012 10/10/2012 Chapter 3 Test over 3.1 to 3.8 4.1 Graph Quadratic Functions Standard Form 4.2 Graph Quadratic Function in Vertex or Intercept Form 4.3 Solve Quadratic with None HW 4.1 HW 4.2 HW 4.3 None 10/9/2012 10/10/2012 10/12/2012 a =1 by Factoring Algebra 2 MAT 310-1 - Purple October 2012 10/12/2012 10/15/2012 4.4 Solve Quadratic with a ¹1by Factoring HW 4.4A Includes 4.1 to 4.3 Review Problems HW 4.4B 10/15/2012 10/16/2012
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orderly fashion from a set of universally accepted axioms called postulates Pythagoras * Founded Pythagoreans composed of two groups‚ the listeners & the mathematicians. They believed that “to become a good mathematician‚ one must first be a good listener. * Discovered Pythagorean Theorem which states that “in a right triangle‚ the square of the hypotenuse is equal to the sum of the squares of the two legs”.
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Gold Medal Heights The heights achieved by gold medalists in the high jump have been recorded starting from the 1932 Olympics to the 1980 Olympics. The table below shows the Year in row 1 and the Height in centimeters in row 2 Year | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 | 1976 | 1980 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 | They were recorded to show a pattern year after year and to reveal a trend. The data graph below
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MATH INVESTIGATION 4.2 FACTORIZATIONS on the Math Investigator determines if a number is prime or composite. If a number is composite‚ it prints all its factors‚ the number of factors‚ and its prime factorization. The numbers 1‚ 2‚ 4‚ and 6 have 1‚ 2‚ 3‚ and 4 factors‚ respectively: 1 has only 1 as a factor; 2 has 1 and 2 as factors; 4 has 1‚ 2‚ and 4 as factors; and 6 has 1‚ 2‚ 3‚ and 6 as factors. These factors are illustrated by the rectangles shown here. Starting Points for Investigations
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A polynomial function with degree ’’ is called a linear function. The most general form of linear function is * Quadratic Function: A polynomial function with degree ’2’ is called a Quadratic function. The most general form of Quadratic equation is * Cubic Function: A polynomial function with degree ’3’ is called cubic function
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+ 2 + 3 + 4) = 15 T6 6 + (1 + 2 + 3 + 4 + 5) = 21 T7 7 + (1 + 2 + 3 + 4 + 5 + 6) = 28 T8 8 + (1 + 2 + 3 + 4 + 5 + 6 + 7) = 36 As seen in the diagram above‚ the second difference is the same between the terms‚ and the sequence is therefore quadratic. This means that the equation Tn = an2 + bn + c will be used when
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religion known as Pythagoreanism. His beliefs were structured on the complex ideas of esoteric faith and metaphysics. Although Pythagoras did not keep written documentation of his teachings‚ his followers recorded lessons and work in his name. The Pythagorean ideas were introduced to Western philosophy by Plato as he was greatly motivated by the work of the first‚ self- proclaimed philosopher. According to "The Basics of Philosophy" (2008)‚ Pythagoras was the first “pure mathematician” and known as
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JTG- Ch.2 Euclid’s Proof of the Pythagorean Theorem Century and a half between Hippocrates and Euclid. Plato esteemed geometry to be the entrance to his Academy. Let no man ignorant of geometry enter here. “Logical scandal” Theorems were believed to be correct as stated but they lacked the material to prove them. Euclid’s Elements was said to become the staple of mathematics or the standard. 13 books‚ 465 propositions (not all Euclid but rather a collection of great mathematicians
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Introduction The gummy bear project was to provide us with a chance to practice the statistics experimental design‚ through measuring how far the gummy bears fly from a catapult in centimeters. This catapult contains 3 different stages from which to launch gummy bears at different angles: front‚ middle‚ and back‚ as well as two different positions upon the catapult at either the front or back. Then‚ based upon each configuration‚ we launched the gummy bears 5 times‚ for a total of 2x3x5‚ 30 treatments
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The Ancient Greek culture has had such an impact on the world that no matter where you look you ’re sure to find something Greek about it. Out of all the areas that the Greek culture is famous for there are two that tend to exert themselves into our own culture even today. That would be their Science and Astronomy fields. If one were to look up in a library books about ancient Greek science and astronomy they would have a mountain of books to sift through. There seem to be so many individuals
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