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                                                  •  Letters for numbers •  •   •••       •  Slab patterns  •  •  •  •  •  •  •
                                                               b
                                                                                          1
                                                                                             Draw three simple diagrams to represent these square slabs .
                                                      ••  •  •••              • ••           Draw the next three diagrams to continue the pattern .   ~:(ot•l¥1EJ~
                                                                      •
                                                                   J  •
                                                                •
                                                                 • •  •
                                                                                                                                               PAGE 31
                                                                 ••         ···:          2   CICEI'''' -represents1metre   --~-)  -r-_J~---
                                                                                                                       I  perimeter
                                                                                                                   slabs
                                                                                                                        in  metres
                                                                                                                       /
                                                                                             a  Copy and complete this table
                                                                                              for the six diagrams you have drown.
                                                               h.    •       .. )            b  Without drawing diagrams, decide the slab patterns
                                                  9                                           for the next three rows and odd them to the table.
                                                     J   •  •       J   •                    c  Explain in  words,  the rule connecting every perimeter
                                                   ••••  •••                              @]   Draw the  1 oth and the 15th slob pattern.
                                                                                              to the number of slobs .
                                                                                             Check that your rule works for these.
                                                                                             Add the results to your table.
                                                  [O  •  Using the pictures to help you,  decide what the red text
                                                      in each equation means.
                                                                                          [ij  a  Correct the green numerals in  the operations   INPUT r,;;:::\. ou_TPUT
                                                      a  34 = 6   b  59  = 35   c  9b = 90   d  7• = 21   box so that it is true for your table.   slobs  t.:..::.::::/"  perimeter
                                                     •  Explain what you think.
                                                                                             b  Correct this formula so that it is true.  p = 3s + 4
                                                     •  Then compare what you think with the explanation in  the box below.
                                                                                          ~ Repeat stages (ij tom for this slob pattern.
                                                  ~ Complete these equations with the help of the pictures.
                                                     a  9f =   b  121 =   c  20h =   d  50c =
                                                  [El   a  If 8b = 80 write other equations which  equal 80.  (Use the pictures.)
                                                     b  Write equations which equal 48.
                                                     c  Write equations which equal 63.
                                                  i3}J   Write at least 5 more equations like these,
                                                     equal to 60, using the pictures.     Now try page 32.      The operation and the  formula
                                                                    89 is o short way of writing  '9 x 8' or 8 x g'
                                                     e.g. 89  + 4 = 60   Both mean 'g eight times' or 'eight lots of 9'   must be true for every example.
                                                                    So if  g = 7, then 89 = 8  x 7 or 7 x 8 = 56.
                                                       7d-3=60
                                                                                                                            m
          DJ                                                                                                                                                 I  I
          a  2         b  7         c  10        d  3
                                                                                             a and b               perimeter in    Practical: drawing the  10th and  15th
          a  72        b  60        c  120       d  200                                                 slabs (s)   metres (p)    slab patterns and checking the rule.
                                                                                                            1            4        Add results to table. (See [gJ )
                                                                                                            2            6
                                                                                                            3            8        ~
          a  Possible equations: 40a = 80,  20c = 80,  1 Of = 80,  16i = 80
                                                                                                            4           10        a  INPUT    X 2 + 2 >
                                                                                                                                                          OUTPUT
          b  Possible equations: 24a = 48,  12c = 48,  16e = 48,  6f = 48,  8h = 48                         5           12           slabs                perimeter
          c  Possible equations: 7d = 63,  21 e = 63,  qg = 63                                              6           14
                                                                                                                                  b  p = 2s +  2
                                                                                                            7           16
                                                                                                            8           18        ~
                                                                                                            q           20        Repeat stages ITJ to  ~ for new
          Open: write equations to equal 60. Five possibilities:                                                                  slab patterns. The answers for [gJ
                                                                                                           10           22
          18e + 6 = 60,  7g +  11  = 60,  1 Oi  +  1 O = 60,  11 h - 6 = 60,  31 a - 2 = 60                15           32        to ~ should be the same.
                                                                                            c  Multiply the number of slabs by 2 and then add 2.
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