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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\10_Chapter_7\Chapter_7
             \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________






                                 Learning by Doing





                objective: To represent the fractional quantities using fractional units by paper
                folding.
                Materials required: A strip of paper.
                Procedure:

                   • Start with a strip of paper.


                                                           1 Strip paper
                   • Fold the paper strip in half so that the two ends meet, then unfold it to get a crease in
                   the middle.

                   • As the whole strip is 1 unit long. So the crease divides the strip into two equal parts, so
                                      1
                   each part is half      of the whole strip as shown below.
                                       2
                                     



                                         1                                             1
                                         2                                             2
                   • Now, fold the strip in halves again and unfold it to get two more creases, that divide the
                   strip into four equal parts as shown below.




                              1                      1                      1                     1
                              4                      4                      4                     4

                                          1  2  1
                                   2 times
                                          4  4  2
                   • Again fold the strip in halves that divides the strip into eight equal part. Again fold it to
                   get 16 equal parts.




                      1
                      16
                          1   2   1
                    2 times  =  =    Fractional quantities can be measured using fractional units.
                          16  16  8
                  Each time we fold the strip, the number of parts doubles, and size of each part gets smaller.
                observation:

                   Complete the blank spaces:

                               1                      1                      1                      1
                      4 times     =          6 times     =          9 times     =         16 times     =
                              16                     16                      16                     16

                  Thus, this activity is useful in understanding the fractional quantities.



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