in Mathematics 3: Geometry for Secondary Third Year Level I. Lesson Objectives At the end of the class 100% of the students should be able to learn 75% of the lesson and be able to; a.familiarize the formula in getting the slope; b.find the slope of the line‚ with given two points on the line or equation of the line; c.graph a line using its slope and a point on the line; and d.volunteer on solving problems. II. Subject Matter Subject: Geometry Topic: The
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was the last of the great mathematicians of the golden age of Greek mathematics. Apollonius‚ known as "the great geometer‚" arrived at the properties of the conic sections purely by geometry. His descriptions were so complete that he would have had little to learn about conic sections from our modern analytical geometry except for the improved modern notation. He did not‚ however‚ describe the properties of conic sections algebraically as we do today. It would take almost 2000 years before mathematicians
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Al+ (g) + e- → Al (g) 4) The molecular geometry of the OH2 molecule is __________. A) linear B) bent C) trigonal planar D) tetrahedral E) octahedral 5) Which of the following correctly represents the second ionization of calcium? A) Ca (g) → Ca+ (g) + e- B) Ca+ (g) → Ca2+ (g) + e- C) Ca- (g) + e- → Ca2- (g) D) Ca+ (g) + e- → Ca2+ (g) E) Ca+ (g) + e- → Ca (g) 6) Using the VSEPR model‚ the molecular geometry of the central atom in CF4 is __________. A)
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René Descartes: "Father of Modern Mathematics" 1596-1650 December 13‚ 2004 René Descartes was born in La Haye‚ Touraine (France) in March of 1596 and died at Stockholm on February 11‚ 1650. René‚ the second of a family of two sons and one daughter‚ was sent to the Jesuit School at La Flêche at the early age of eight. Since he was of poor health he was permitted to lie in bed till late in the mornings‚ a custom which
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Name Period Date Molecular Geometry – Ch. 9 For each of the following molecules‚ draw the Lewis Diagram and tally up the electron pairs. Then‚ identify the correct the molecular shape and bond angle. molecule lewis diagram e- tally shape bond angle 1. SeO3 2. AsH3 3. NO2 - 4. BeF2 molecule lewis diagram e- tally shape bond angle 5. SiH4 6. SeH2 7. PF5 8. SCl6 Name:
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C & 2s on H 3C) sp on C & 2p on H 4D) sp2 on C & 1s on H 5E) sp on C & 1s on H Copyright © 2014 Pearson Canada Inc. Slide 10-6 Q6: When determining the electron geometry: 1A) only electrons on the central atom are considered. 2B) the electrons on all the atoms are considered. 3C) electrons on outer atoms affect the overall geometry. 4D) electrons in lone pairs are considered only when the molecule is polar. 5E) All of the above are true. Copyright © 2014 Pearson Canada Inc. Slide 10-7 Q7:
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Aaron Griffin Math 4091A March 17‚ 2015 The Cartesian Coordinate System Linear inequalities (statements such as “4≤X+10<18”) can be represented graphically along a number line. In similar manner‚ a linear equation in two variables (this being the form ax+by=c) can also be represented graphically‚ using two axes; the x axis‚ the horizontal plane‚ and the y axis‚ the vertical plane. There are memory tricks with which to distinguish the x from the y axis and remember their horizontal and vertical
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* Cube In geometry‚ a cube is a three-dimensional solid object bounded by six square faces‚ facets or sides‚ with three meeting at each vertex. As the volume of a cube is the third power of its sides ‚ third powers are called cubes‚ by analogy with squares and second powers. A cube has the largest volume among cuboids (rectangular boxes) with a given surface area. Also‚ a cube has the largest volume among cuboids with the same total linear size (length+width+height). * Parts:
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and ellipse. The circle is sometimes categorized as a type of ellipse. In mathematics‚ a conic section (or just conic) is a curve obtained as the intersection of a cone (more precisely‚ a right circular conical surface) with a plane. In analytic geometry‚ a conic may be defined as a plane algebraic curve of degree 2. There are a number of other geometric definitions possible. One of the most useful‚ in that it involves only the plane‚ is that a conic consists of those points whose distances to some
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above yields four pairs of corresponding angles. Parallel Postulate Given a line and a point not on that line‚ there exists a unique line through the point parallel to the given line. The parallel postulate is what sets Euclidean geometry apart from non-Euclidean geometry.
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