Page 24 - steps 3b.pdf
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                                    •  Area of rectangles  •  •         1cm squared         Balancing weights            C
                                                                        paper (RM 144)
        ~;;~)~t~                                This rectangle is  D '                   These are standard weights up to SOOg.                    BOOK3b
                                                                                                                                                    PAGE 3q
                                                5 cm long and 3 cm wide.
                                     i ' W  .. ~   Area =  15 square centimetres.   r'   I  I                                                b  Four standard
                                                                       I
                                                                          I
                                                                       ,!  I
                                       ,".?,.,;. '
                                                Perimeter =  16 centimetres
                                                                       .'
                                       ,..£,
                                    OJ   Draw these rectangles on centimetre squared paper.   19  rt'. ~\tl eV  ~    5°°9                       weights which
                                                                                                                                                balance  130 9 are
                                                                                            59  109  209  509  1009
                                                                                                             200g
                                       a  8 cm long,  2 cm wide   b  6 cm long,  4 cm wide
                                                                                         OJ  Write five ways to balance SOg                     100g and  109 and
                                       c  6 cm long,  Scm wide   d  7 cm long,  3 cm wide
                                                                                            using these standard weights.                       109 and  109 or 50g
                                       e  10 cm long,  1 cm wide   9 cm long,  2 em 'wide
                                                                                                                                                and 50g and 20g
        []]                         rn  Beside each one, write its area and perimeter.   rn  Use scales and a  plastic bag.                     and  109, etc.
                                                                                            Weigh out 70g of rice into a  bag.
                                                                                            Label the bag.                                      (1/3 a)
        Practical: drawing
                                    []]  Copy and complete these torn rectangles.
        rectangles on                  The area of each is given.  Find their perimeters.   []]  Write five ways to balance 70g of rice using the weights shown above.
        centimetre squared                                                               m Copy and complete.                                Challenge
                                          "C                                                a  Three standard weights which balance SOOg  are   20 9 of Plasticine
        paper.                                               b L~                                                                            a  Weigh out 4 lots of
                                                                                              __ g and  __ g and  -- g.
        [g]                                 12 square centimetres   ---                     b  Four standard weights which balance 130g are     and roll  them
                                                                  20 square centimetres
                                                                                              __ g and  __ g and  -- g and -- g.
                                                                                                                                                together to make
        a  8cm by 2cm                     CL                        --r'""   -  ...                                                             80g.
           area  16 square                                   d  [J                         CHALLENGE
           centimetres                                                                     Use only balance scales, a 20g weight and  Plasticine.   b  Weigh out 3 lots of
           perimeter 20                                                                    Work out ways to make lumps of Plasticine which weigh :   20 g,  halve one of
                                            15 square centimetres                                                                               them to make two
           centimetres                                                                     a  80g   b  SOg   c  10g   d  40g   e  2Sg   f  Sg
                                                                  25 square centimetres
                                                                                                                                                109 lumps and join
        b  6cm by 4cm               am                                        I STEPS 3b:1SI   I STEPS 3b:16!                                   20 9 + 20 9 +  109 to
           area 24 square                                                                                                                       make 50g.
           centimetres
                                                                                                                                             e  Weigh out 20 9 and
           perimeter 20
           centimetres                                    00                               []]  Open: finding five ways to balance 50g          halve it by
                                                                                                using the weights listed in  1:                 balancing  109
        e  6cm by 5cm            e  10cm by  lcm          a                                     For example: 50 g;  (20 9 + 20 9 +  109);       against 109.
           area 30 square           area  10 square        Perimeter                            (20 9 +  109 +  109 + 5 9 + 5 g); etc.
           centi metres             centimetres            16cm                                 Practical: weighing out 70 9 of rice in a bag   d  Weigh out 2 lots of
           perimeter 22             perimeter 22           b                               [g]   and labelling it. (1/3 a)                      20 g, combine them
           centimetres              centimetres            Perimeter                                                                            to make 40g.
                                                           18cm                            00   Open: finding five ways to balance 70 9      e  Halve the 50 9 made
        d  7cm by 3cm            f  qcm by 2cm                                                  using the weights listed in  1:
           area 21  square          area  18 square        e                                    For example:                                    in  b or combine 20 9
           centimetres              centimetres            Perimeter                            (50 9 + 20 g); (50 9 +  109 + 5 9 + 5 g); etc.   and half of half of
           perimeter 20             perimeter 22           16cm                                                                                 20g.
                                                                                                a  Three standard weights which balance
           centimetres              centimetres            d                               ~                                                 f  Halve 20 9 and
                                                           Perimeter                              500 9 are 200 9 and 200 9 and  100 g.         halve one  109 lump
                                                           20cm                                                                                 to make 5g.
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