Page 109 - steps 3b.pdf
P. 109

DRM 10Q

             Number patterns  II                                                            II  3b:37




   e  rn  Make these staircases from  interlocking cubes,
                each staircase a  different colour.
               Write how many cubes you  used each time.

                a                               b                                c~
                                                    tf8
                     ED
                                     D                                D                                D



                d                               e                                f          q
                                                           ,c:::?                        ...--
                                                                                       .,;-
                                                         F  r--
                                                       ---                         /"  /
                   •                 D            I  r-I              D         I  I                   D
                                                    .,;-
                                                                                 ~


                                                                                  .  :j;)

          ~ Work out which  pair of staircases                        The  fofal numher of cuhes in each
               you  need to fit together to make                  ~
                                                                      square gives you a square numher.
                each of these squares.



                           tt8                         R



                        1+3  -          4
                                  -


                 /             ./
                               ./                   /

                               ./
   e                           v


                                  -                                -
                                                                   -
                                  -



          [!I  Use your results to help you complete this number pattern.

            square                                             square
            number             growth pattern                  number             growth pattern

              1 st                                               4th

             2nd                                                 5th


              3rd                                                6th

   e.-------------.

         Name                                                 Constructing square numbers practically; constructing
                                                              a related number pattern •
       .  Date                                                Materials: interlocking cubes
       I
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