Page 6 - Mathematics Class - IX
P. 6

CONTENTS








              Learn Me Everyday                                                                                    6

              Conversions                                                                                          7
              Useful Mathematical Symbols                                                                          7

                                                      ACTIVITIES



                                                UNIT - 1:  Number Systems


         1.1.  To construct a square root spiral.                                                                  9

         1.2.  To represent some irrational numbers on the number line.                                          12



                                                    UNIT - 2:  Algebra


         2.1.  To verify the algebraic identity: (a + b + c)  = a  + b  + c  + 2ab + 2bc + 2ca                   16
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         2.2.  To verify the algebraic identity: (a + b)  = a  + 3a b + 3ab  + b 3                               19
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         2.3.  To verify the algebraic identity: (a – b)  = a  – 3a b + 3ab  – b 3                               22
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         2.4.  To verify the algebraic identity: a  + b  = (a + b) (a  – ab + b )                                25
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         2.5.  To verify the algebraic identity: a  – b  = (a – b) (a  + ab + b )                                28
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                                             UNIT - 3:  Coordinate Geometry
         3.1.  To find the values of abscissae and ordinates of various points given in a Cartesian plane.       32
         3.2.  To find a hidden picture by plotting and joining the various points with given coordinates in a plane.   35
                                                   UNIT - 4:  Geometry

         4.1.  To verify experimentally that if two lines intersect, then –                                      39

              (a)  Vertically opposite angles are equal

             (b)  The sum of two adjacent angles is 180°

              (c)  The sum of all the four angles is 360°
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