Maths Project Power Point Presentation

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Maths Project Power Point Presentation

  1. 1. Maria Regina College Boys’ Junior Lyceum MATHEMATICS PROJECT COMPETITION M R
  2. 2. MATHEMATICS PROJECT COMPETITION <ul><li>This is open to all students who are in forms 3 and 4 during the scholastic year 2009 − 2010. </li></ul><ul><li>The competition is open to teams of two students. </li></ul><ul><li>All participants will be awarded a school- based certificate of participation. </li></ul><ul><li>The best five entries will be chosen to represent the school in the national competition and will each receive a prize. </li></ul><ul><li>These five will be awarded a national certificate of participation. </li></ul><ul><li>Furthermore, the first three placed teams in the national competition will receive a prize . </li></ul>
  3. 3. <ul><li>A statistics project </li></ul><ul><li>A number of charts (not more than three) </li></ul><ul><li>A Power Point presentation </li></ul><ul><li>Mathematical models </li></ul>Participants would need to produce one of the following:
  4. 4. On any one of the themes below: <ul><li>The Story of Numbers </li></ul><ul><li>Symmetry </li></ul><ul><li>Archimedes </li></ul><ul><li>Magic Squares </li></ul><ul><li>Newton </li></ul><ul><li>The Golden Ratio </li></ul><ul><li>Fibonacci Numbers </li></ul>
  5. 5. <ul><li>Women Mathematicians </li></ul><ul><li>The Story of Pi ( π ) </li></ul><ul><li>Fractals </li></ul><ul><li>Circles </li></ul><ul><li>Conic Sections </li></ul><ul><li>Triangles </li></ul><ul><li>Tessellations (Tiling) </li></ul><ul><li>Polygons </li></ul>
  6. 6. <ul><li>Prime Numbers </li></ul><ul><li>Quadrilaterals </li></ul><ul><li>Pythagorean Triples </li></ul><ul><li>Mathematics in the Press </li></ul><ul><li>Pascal’s Triangle </li></ul><ul><li>The Theorem of Pythagoras </li></ul><ul><li>Graphs </li></ul>
  7. 7. Examples of Mathematical Models
  8. 8. Straw Geometrical Models
  9. 9. Conic Sections model
  10. 10. Fractal Tree model
  11. 11. Quilt of Symmetries
  12. 12. The Story of Numbers
  13. 13. Babylonian (3100 B.C.)
  14. 14. ANCIENT EGYPT
  15. 15. ANCIENT EGYPT
  16. 16. MAYAN (c. 2000 BC to 250 AD)
  17. 17. ROMAN
  18. 18. INDIAN 100AD
  19. 20. SYMMETRY
  20. 21. In nature
  21. 22. Carpet Design
  22. 23. Rotational Symmetry
  23. 24. Archimedes
  24. 25. Magic Squares
  25. 26. NEWTON (1642 – 1727)
  26. 27. The Golden Ratio
  27. 28. Fibonacci Numbers <ul><li>1,1,2,3,5,8,13,21,34,55,89,144,… </li></ul>
  28. 29. Women Mathematicians Hypatia of Alexandria 350AD She wrote a commentary on the 13th volume of the famous Greek mathematics text book, 'Arithimetica'.
  29. 30. Women Mathematicians <ul><li>Sophie Germain (1776) </li></ul>Initially, she worked on number theories and gave many an interesting theorems on prime numbers . Many such numbers are now called as &quot;Sophie Germain primes&quot;.
  30. 31. The Story of Pi ( ∏)
  31. 32. ∏ = <ul><li>3 .1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989… </li></ul>
  32. 33. FRACTALS Fractals are, simply put, repetitions of an object or pattern at different scales.   This concept and the math behind it have become studied more recently due to the availability of computer generated images.  Fractals are beautiful to observe when created by computers, but are also readily observable in nature.
  33. 34. Snowflake
  34. 35. Serpinsky Triangle
  35. 36. Star fractal
  36. 37. H Fractal
  37. 38. Fractals in Nature
  38. 39. A fractal that models the surface of a mountain
  39. 40. Circles
  40. 41. Circle crops
  41. 42. Circles in nature
  42. 43. Conic sections
  43. 44. Gravitational orbits <ul><li>The orbits of some of the planets (e.g., Venus) are ellipses of such small eccentricity that they are essentially circles , and we can put artificial satellites into orbit around the Earth with circular orbits if we choose. </li></ul><ul><li>The orbits of the planets generally are ellipses . </li></ul><ul><li>Some comets have parabolic orbits; this means that they pass the Sun once and then leave the Solar System, never to return. </li></ul><ul><li>The gravitational interaction between two passing stars generally results in hyperbolic trajectories for the two stars. </li></ul>
  44. 45. ORBITS
  45. 46. Plotting parabolas
  46. 47. Drawing an Ellipse using string and thumb tacks
  47. 48. Triangles
  48. 49. The Bermuda Triangle
  49. 50. Musical Instrument
  50. 51. Delta wings
  51. 52. Greek Delta
  52. 53. TESSELLATIONS
  53. 54. Two shape tessellation
  54. 55. 3 D Tessellation
  55. 56. Tessellations in Art
  56. 57. Old Maltese Floor Tiles
  57. 58. Polygons
  58. 59. Sum of Interior angles
  59. 60. Polygon Frameworks
  60. 61. Prime Numbers
  61. 62. Prime Factors of 1050
  62. 63. Quadrilaterals
  63. 64. Cyclic quadrilaterals
  64. 65. Forming a Parallelogram
  65. 66. Mathematics in the Press
  66. 68. Electoral Results
  67. 69. Sports results
  68. 70. Cartoon 1
  69. 71. Cartoon 2
  70. 72. What ?
  71. 73. Pascal’s triangle
  72. 74. The Theorem of Pythagoras
  73. 75. Symmetrical Pythagorean Fractal
  74. 76. Graphs
  75. 77. Bar Chart
  76. 78. Line graph
  77. 79. Pie chart
  78. 80. Travel Graph
  79. 81. Pythagorean triples <ul><li>( 3, 4, 5) ( 5, 12, 13) </li></ul><ul><li>( 7, 24, 25) ( 8, 15, 17) </li></ul><ul><li>( 9, 40, 41) (11, 60, 61) </li></ul><ul><li>(12, 35, 37) (13, 84, 85) </li></ul><ul><li>(16, 63, 65) (20, 21, 29) </li></ul><ul><li>(28, 45, 53) (33, 56, 65) </li></ul><ul><li>(36, 77, 85) (39, 80, 89) </li></ul><ul><li>(48, 55, 73) (65, 72, 97) </li></ul>
  80. 82. <ul><li>Proposals are to be made to your Mathematics teacher by Monday 30 th November 09. </li></ul><ul><li>Completed projects are to be handed in not later than Monday 18th January 2010. </li></ul>

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