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