1. Types of Reasoning * Inductive Reasoning – * general conclusion based on a limited collection of specific observations * educated guesses * Primary flaw – we cannot be sure the conclusion is always correct * Counterexamples -- show a conclusion reached through inductive reasoning is not true * Deductive Reasoning – * making a specific conclusion based on a collection of generally accepted assumptions. * There are no counterexamples
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Reaction Paper Ric Michael P. De Vera IV- Rizal Mr. Norie Sabayan I. A and B Arabic mathematics: forgotten brilliance? Indian mathematics reached Baghdād‚ a major early center of Islam‚ about ad 800. Supported by the ruling caliphs and wealthy individuals‚ translators in Baghdād produced Arabic versions of Greek and Indian mathematical works. The need for translations was stimulated by
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Variable Geometry Turbocharger Turbochargers works on the simple principle of increasing the intake air density by compression. Being able to fill more air into the combustion chamber will allow more fuel to be added to produce more power. However the operation of the turbocharger relies solely on the exhaust gas velocity to drive the compressor. Thus the compressor will be at optimum operation range when the engine is under heavy load. When the throttle is opened‚ it will take a certain period
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Among these were Hippocrates of Chios‚ Theudius‚ Theaetetus‚ and Eudoxus. Euclid ’s vital contribution was to gather‚ compile‚ organize‚ and rework the mathematical concepts of his predecessors into a consistent whole‚ later to become known as Euclidean geometry. Euclidean constructions are the shapes and figures that can be produced solely by a compass and an unmarked straightedge. Although these tools were indeed simple‚ their range of abilities seemed unlimited. Not only could they produce a multitude
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Kuta Software - Infinite Geometry Name___________________________________ Arcs and Central Angles Date________________ Period____ Name the arc made by the given angle. 2) ∠1 1) ∠FQE I F H 1 Q J E D Name the central angle of the given arc. 3) ML 4) ML L L M K 1 Q M K If an angle is given‚ name the arc it makes. If an arc is given‚ name its central angle. 6) Major arc for ∠1 5) RS B T C Q 2 1 3 S R A 7) ∠KQL
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the future? These are a few of the many questions that one asks when they have to take an algebra course. This is a required subject in most colleges to further ones education. The first year of algebra is a prerequisite for all higher-level math: geometry‚ algebra II‚ trigonometry‚ and calculus. It is quite true‚ while many people get by without an education in algebra‚ whenever they pick up the phone‚ manage their money‚ travel to some other place‚ they are unintentionally using math. Algebraic
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ABC’S OF GEOMETRY | By Parker Davis | January 2‚ 2012 | AA similarity | when two triangles have corresponding angles that are congruent as shown below‚ the triangles are similar | | AAS | if two angles and the non-included side one triangle are congruent to two angles and the non-included angle of another triangle‚ then these two triangles are congruent | | Acute angle | an angle with an angle measure less than 90° | | Acute triangle | a triangle where all three internal angles are acute
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Solids Content Area: Math Grade Level: Kindergarten Time Frame: 45 min Prior to this lesson the students had a lesson on attributes. The children defined and identified attributes in different two-dimensional shapes. MA Framework Standard: Geometry K.G Identify and describe shapes (squares‚ circles‚ triangles‚ rectangles‚ hexagons‚ cubes‚ cones‚ cylinders‚ and spheres). 2. Correctly name shapes regardless of their orientations or overall size. Identify shapes as two-dimensional (lying
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Math in My Life This year in Algebra 2 class I have learn some very interesting and important topics. Throughout this past school year I have grown and learned how to use these newly learned skills and my understanding of algebra is now complete. In math class this year‚ I believe I did fairly well and received almost got all A’s. I think I passed this class is because math in general comes easy to me. I only studied in the beginning of the year‚ as the latter part of the year came much easier.
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The work of Maurits Carnelis Escher (M.C. Escher) is widely considered the most popular example of the mathematical influence in art. Though never formally trained in math‚ Escher’s initial interest in decorative art sparked a curiosity in certain mathematical areas such as geometric shapes‚ tessellations and spatial planes/demensions. His interest in both aesthetic and logic resulted in provoking visual representations of multiple dimension. Escher’s understanding of mathematics in combination
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