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                                                  •  Fractions: add and subtract             •••••••
                                                                                             Josie put o fraction or mixed number
          ~:I•I•H418~                                                   hos a numerator of 1.   at each corner of this shape so that   ~:M•J&18~
                                                                        A unitary fl'octlon
                                                                                             they totalled the number in the centre.
                                                                        For example.  }  or ~
           .          PAGE 26                                                                She drew a fraction line to help her.             PAGE 27
                                                                                                   1   1t
                                                     Use cut-up fraction strips from  RM 54.
                                                     Find, then record, combinations which total 1. Use:
                                                                                           Complete these shapes in the same way. Draw fraction lines if it hetps.
                                                     a  thirds and sixths   b  fifths and tenths
                                                     c  quarters and eighths   d  quarters, halves and eighths.
                                                     Find the missing unitary fractions.
                                                     Use strips to help, if you wont.          d
                                                                  b  i + t+t+t+ R=1~           l -  2i   \      6
                                                                 d  ~ + h +i+t=1t
                                                                  t  i+~-~-P= i              Find the missing fraction or mixed number for these shapes.
                                                                                             Show any workings-out.
                                                                                                                 3
                                                                  a  Design two more fraction diagrams.       2t
                                                                   Show how they equal 1.       st      1%           10
                                                                  •  Design diagrams to show that:
                                                                                                                 H
                                                                  o f+k +f =1                      ·02i
                                                                  bt + i + ~ = 1                 1.  2
                                                                  c  %dd =1 .
                                                                                                         ?
          rn


          Practical: using cut-up fractions strips from Resource Master 54 to find          Open: showing mixed numbers and fractions that add to a given total.
          combinations which total  1 . Possible answers include:
          a) 2 + £ = 1  b)  ~ +  !±. = 1  c)  1 + !±..  = 1  d)  l  + l  + 1 = 1 .
            3   6         5   10       4   8        4   2   8
                                                                                                          b 2f           c ~



          a  _!_       b  l_        c  l_        d  1-+  l_   e  1-       f   l_
            8             4            3            2   8        s           10


          Challenge
          Practical: designing fraction diagrams to show totals of 1 .
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