Page 15 - steps 3b.pdf
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16
                                    •  Mystery numbers             •••••                 •  Rod lengths  II  •  II  II  I Cuisenaire rods  I
         ~:1-I.l~l.~                                    HELP Box                                                         ,                    ~~~~l~l;~
               PAGE 20                  12+ 3 = 0  means      3x 0  = 12 means           OJ   Get one each
                                                                                             of these rods.
                                        'How many threes in twelve?'   'How many threes in twelve?'
                                                      ;/14.                  ~;,
                                                     ~~~        4~'b'~~
                                                    \'J?J'w(/){}   ]Af~  - ~~~                                     ,~ .
                                                   ~~~  ~~               ~fS
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                                                 12 +3 = 0  means the some as  3x 0  =12
                                    OJ   Copy and complete these. Try  not to use materials to help.   If you fit these two rods
         rn                             a              b   5 +1=  0   c   15+3= 0           together, they measure 8 cm.

                                                           1 x O =5      3x O =15                               o   1   234  5    6   7  a
         a  6 -7- 2= 3                            -'           . ~ .
            2  x  3 =6                  d        'i-='.  I  . -- -
                                                       e
                                                                         10+2= 0
                                                                         2x O  =10                              1 1 1 1 I 1 1 1 1 11111111
         b  5  -7- 1 = 5
                                                                                            You  can show the length   2cm    6cm
            1 x  5 =5                I]]  How many:                                         like this.
                                                                                                                          8cm
         c  15  -7- 3 = 5               a  threes in  nine   b  fives in  twenty-five
                                        c  fours in  seventeen   d  twos in  seventeen
            3x 5 =15                    e  fives  in  twenty-one   fours in twenty-two?   []]  Drow lines to show pairs of rods which  measure:
                                                                                             a  7cm   b  14cm   c  11  cm   d  15cm
         d  16 -7- 4= 4
            4x 4 =16                   CHALLENGE                                          @]   Now draw lines to show sets of three rods which measure:
                                                                                             a  13cm   b  16cm   c  20 cm   d  17cm
         e  20 -7- 5 = 4               Find at least 4 different answers to each of these.
            5 x  4 = 20                a  [] + 0  =  3 remainder 2   b  0  + 0  = 5 remainder 1   [II  Find  and draw different  ways of making  lengths of 20 cm.
                                                                                             Use rods of any colour to help.
         f  10 -7- 2= 5              FE                                        I STEPS 3b:s l   I STEPS 3b:9!                          ED
            2x 5 =10

         00                       Challenge                                                 rn                                    00
                                  At least 4 examples similar to:
         a  three                                                                           Practical: fitting rods together to   Practical: drawing lines to show
                                  a   8 -7- 2 = 3 remainder 2                               make a given length.                  pairs of rods which measure:
         b  five
                                     11  -7- 3 = 3 remainder 2                                                                    a  7cm            b  14cm
         C  four remainder one                                                              ~
                                  b  11  -7- 2 = 5 remainder  1                                                                   C  11cm          d  15cm
         d  eight remainder one      16 -7- 3 = 5 remainder  1
                                                                                            Practical: drawing lines to show
                                     17 -7- 5 = 3 remainder 2
         e  four remainder one                                                              sets of three rods which measure:
                                     31  -7- 6 = 5 remainder  1                                                                   ~
         f  five remainder two       23 -7- 7 = 3 remainder 2                               a  13cm           b  16cm
                                     46 -7- q = 5 remainder  1  etc. (1/3 a,b)                                                    Open: drawing different ways of
                                                                                            C  20cm          d  17cm              making up a length of 20 cm.
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