Projects

 PROJECTS



Projects can be used for  TMF Members : just click

Proposed Projects in mathematics can be given to class ten students :
  1.     Pyramidal numbers ad their relationship between triangular and square numbers?
  2.     Pythagorean spiral?
  3.     Representation of surds on the number line?
  4.     Modular Arithmetic? Clock arithmetic?
  5.     History of Pythagoras?
  6.     Investigate the Story of zero?
  7.     Investigate the Story of Fibonacci series?
  8.     Investigate Story of π?
  9.     History of Roman numbers and at present where we are using them? Roman no.s for big No?
  10.  History of Algebra?
  11.   Represent the sets on venn diagrams and show that A∆B , A-B, B-A, AUB and A∩B?
  12. If possible take three set of circles and make possible representations of the sets?
  13.  Collect the information of t.v. channels watched by some of your neighbors and prepare the different groups and those watch both or those watch neither of it?
  14.  Draw the different quadratic equations, cubic expressions and find the relationship between their roots?
  15.  Represent quadratic equation by completing the squares on the drawing sheet.
  16.   Quadratic equation solver?
  17.  The nth term of an a.p. on a graph paper?
  18.  The sum of n terms of natural numbers?
  19.  The sum of squares of the n terms of the natural numbers?
  20. The sum of cubes of the n terms of the natural numbers?
How many other ways can you find to prove these identities? Is any one of them ``best''?
  21.  Graph gallery? Ordered pairs to be prepared to find the shape of required figure?
  22.  Use of Geometry in our daily life?
  23.  History of computers and their uses in our day to day life?
  24.  Do any project you know or you can?( ex: Pantograph, Clinometers...)
  25.  Ratios and unit circle?
  26.  Applications of Trigonometry in our daily life?
  27.  Make a project in the following mathematicians you must mention      the following facts:
a)      Photo ( if possible)
b)      Year of birth or Date of birth  
c)       Country    
d)       Place of birth
e)      Important incidents in his life.
f)       His contribution to mathematics.

I)                    Aryabhatta
II)                  Bhaskara
III)                Srinivasa ramanujan
IV)               Isacc newton
V)                 Euclid
VI)               RenDescartes
VII)             Omar Khayyam
VIII)           Leonardo Davinci,      
IX)                Archimedis

28. Net diagrams of different solids for investigation of their total surface     
       area      and curved surface area?
29.  Spinner ? use in the probability?
30. To show the comparative study of urn scored by two teams in 50/20 over’s 
        and graph it?( Use of graphs in sports)
31. Collect the data of rain fall in telangana, Andhra Pradesh and  its neighboring
       states? (Use of statistics in daily life).
32.  Collect the Max. Min. temperature of the place your live in for one week/15   
        days and find its average?
33. Draw Golden ratio? (Rectangle)
34. Draw the concept map of different quadrilaterals?
35. Write extended theorems on similarity of ∆les?
36. Prepare a geometric Rep. of (a+b)3?
37. Prepare the tan grams and write its uses?
38.  Mensuration 2D, and preparing 3D shapes using net diagrams?
39. Preparing polyhedrons? Platonic solids?
40. What is pantograph?                   
41.  Calander and its mathematics facts ?
42. Patterns of pascal’s triangle?
43. Prepare a house plan for two bed room/3 bedrooms with beautiful balconies?
44. Investigate the creation of secret codes (ciphers). Find out where they are   
Used (how they are used. Look at their history. Build your own using prime numbers.
45.  What is/are Napier's bones and what can you do with it/them?
46. What is Koch curves?
47. Take any Tutorial and calculate the ROI? Estimating Three rooms and one 
        Office room to be used out of three, three teacher experts one in vedic    
        Math’s, second in Regular (academic) math’s, third in Abacus course ?
48.  Explore the history and use of the Abacus.
49.  Investigate magic squares 3*3, 4*4,5*5?
50.  Explore magic tricks, card tricks in mathematics?
51. Take a cylindrical shape wax candle part of height 10 c.m. and 2/3 c.m. diameter, melt it in a glass container. Pour melted liquid in an empty match box whose sticks case is removed with a closed base of one side of hallow cubiodal shape. It becomes a cuboid and measure its dimensions and ask child to find the volume of cuboid . Ask the children to compare their volumes and note their understanding.
 Note: The same project can be used to cast the melted wax in to a tennis ball to make hemi sphere, sphere, an ice cream small cone part or any other 3D-  hallow shape and perform the experiment.
52. Find the sum of n even numbers?
53. Find the sum of n odd numbers?
54. Find the sum of squares of n even numbers? Generalize a formula?
55. Find the sum of squares of n odd numbers? Generalize a strategy?
56. Find the number of diagonals can be drawn to a polygon?
57. We say triangle is
58. Construct a Kaleidoscope. Investigate its history and the mathematics of symmetry.

59. Investigate the creation of secret codes (ciphers). Find out where they are used (today!) and
how they are used. Look at their history. Build your own using prime numbers.
60. Investigate trianglar numbers. If that's not enough, do squares, pentagonal numbers,
hexagonal numbers, etc Venture into the third and even the fourth dimension. Reference:
Conway and Guy, ``The Book of Numbers'', Springer, Copernicus Series, 1996, Chapter 2.
61. What is Morley's triangle?

Note: This file includes Survey based, experimental based, Research based, theorem based projects:                    
                                                                                                       
  
                                                                                                                                                                                                                 DESIGNED By                              
                                                                TELANGANA MATHEMATICS FORUM.

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