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                                                                                          •  Fraction problems •          counters, 1 cm squared
                                                                                                                          paper or RMA
                                                                                           IT] Th"'dot I I I I I I


                                                                                          OJ   Use squared paper and draw 4 more whole shapes in which IT] is:
                                                                                              a  i   b  t   c  t   d  t   e  t.

                                                                                          []]   Draw 12 buttons.
                                                                                              Colour t  yellow and the rest red.   b  How many buttons are red?
                                                                                              Draw two circles.  .  0 0
                                                                                              a  How many buttons are yellow?
                                                                                                             d  What is t of 12?
                                                                                                                          e  What is t of 12?
                                                                                              c  What fraction is red?
                                                                                          @]
        OJ                                                                                    a  Choose a number of counters..   •••
                                                                                               Try to put t  in the first circle.
                                                                                               Try to put t in the second circle.
         Open: draw 6 grids like
                                                                                              b  Try different numbers of counters.
         this and show different                                                                                   f;~cLn:1.e second..ci(t\e  Mol.nl.lJ'Ylber
                                                                                              c  Write what you find on a chart   o(-cwnte.(S
         ways of dividing each                                                                 like this.            -S     ~
         grid into fifths.                                                                    d  Afterwards, write what you notice   2-  !:L-. __   (:,
                                                                                               about each column of numbers.   ----
                                                                                                                    -.-.~ -~---       .-/'
                                       CHALLENGE                                          [I]  In a class of 28 children t were aged 9. The rest were aged 10.
                                       How many different fractions can you show  K=+I        a  How many children were aged 9?   b  What fraction was aged 10?   OJ
                                       by '010"'0, whol, ,qom" 00 "Id, Ilk' thl"  [jjjj
                                                                                                           d  What is t  of 28?
                                                                                              c  What is t of 28?
                                                                                                                                              Use squared paper to
                                                                                            CHALLENGE                                         draw whole shapes in
                                                                                            •  Investigate the different numbers of counters you could have in  two circles,   which  []J is
                                                                                             if you  put  ~ in the first circle and t in the second circle
                                                                                            • Write your results in  a chart.                    1    b  t        1
                                                                                                                                              a  5"            C  3"
                                                                                                                                              d  ~    e  4"
                                                                                                                                                         1
                                                                                                                                              Challenge
                                                                                                                           2
         a  Open: draw grids like this and     b  Open: investigate ways to colour         a  4 are yellow  b  8 are red   C  3"  red  d  4  e  8   Investigate the
           investigate ways to colour            other fractions on other grids.                                                              numbers of counters
           quarters on each grid.                                                                                                             which can be placed in
                                                                                                                                              two circles;  ~ in the
                                               Challenge
                                                                                           a  Practical: putting counters in to two circles;   first and  ~ in the
                                                                                              ~ in  the first and i in the second.
                                               Halves, thirds, quarters, sixths and                                                           second. Record results
                                               twelfths can be shown.                       b, c, d experiment with different numbers of      in  a chart.
                                                                                           counters, record and comment on findings.




                                                                                            a  7 were aged q   b  ! were aged  10   C  7   d  21
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