Page 44 - steps 3b.pdf
P. 44

45
                                  •  Temperatures .  •  •  •  •  •  •                  •  Mostly x and + 3  •  •  •  •  •  •
      ~;1~)t4~~                   OJ                                        c. +100         Look carefully at Polly's 4-pointed star   12 -:-3=4-  3x4-=I2.   ~;~~)r;~~
                                                                                                       -----
                                      Here are parts of 6 thermometers.
                                                                                            to see how she used the numbers   )(
                                                                                                                              .   Ii}
                                                                              +90
                                                                                            Rules                              1.2
                                                                                            • She hod to pol a  x 0' + ';9n at evecy come,.   , .  . •.
                                                                              +80
                                                                                            •  She had to put one 3 at every corner.   4-x3=-12..   12.-:-4--=3  I
                                                                                        OJ
                                                                              +70          Make up more stars like Polly's w ith these numbers at the centre.
                                       A~:IIBIH Ic~:IID~~ IEflllFf~l          +60       []]  Make up six x and + stars using only these numbers.   f  18   rn
                                                                                           a  24
                                                                                                          c  27
                                                                                                                 d  21
                                                                                                   b  15
                                                                                                                        e  30
                                                                              +50            ~ Ell  w ..  &~ @J~
                                      Write the temperature shown on:
                                                                                                                                            a  3 X  8 = 24
                                                                              +40
                                      thermometer A   thermometer B   thermometer C         This number line shows how 2 x 7 and 7 x 2 are different.
                                      thermometer D   thermometer E   thermometer F.                                                           8 X  3 = 24
      rn                          []]  Write which of the temperatures:       +30                                                              24 +  3 = 8
                                      a  is the hottest   b  is the coldest   +20                                                              24 +  8 = 3
       A  +4°e    B ooe               c  are above 0° C   d  are below 0° C.
                                                                               +10      @]   Design number lines to show how these are different.   b  3x5= 15
       C  -3°C    D  - l oe       @]   Find the finishing temperature.                     a  3 x 7 and 7 x 3   b  9 x 3 and 3 x 9             5x3= 15
                                                                 Freezing point of water
                                        r-                       ---,  -                                                                       15+3=5
       E  +2°e    F  -4°C               starting temperature   change   finishing temperature
                                                                              -10        CHALLENGE                                             15+5=3
                                      a     -Soc    1° C warmer
                                                                                         Suzi  bought nine monsters,                        c  3 X  q = 27
       00                             b     +3° C   3° C warmer               -20        three at 18p each, three at 24p each                  q x 3 = 27
                                                                                         and three at 33p each.
                                      C     -6° C   1° C cooler               -30        Work out in  your own way
       a  A is the hottest                                                               what she paid for them                                27 +  3 = q
                                      d     -2° C   2° C warmer                          and her change from £5.                               27 +  q = 3
       b£iJf?e coldest
                                      e     D' C    2° C cooler             ~ ° C
                                                                                                                                            d  3x7=21
       c  A,E
                                  m                                          I STEPS 3b:331   I STEPS 3b:34!                                   7 x 3 = 21
       d  C,D,F                                                                                                                                21  +  3 = 7
                                                                                                                                               21  +  7 = 3
       00                                                        00                                                                         e  3 x  10 = 30
                                                                                                                                               10 x 3 = 30
                                                                 a                      3 X  7 = 21                                            30 + 3 =  10
             starting                      finishing
           temperature      change       temperature                                                                                    I.     30 +  10 = 3
                                                                 •  I
                                                                  a  1  2  3  4  5  6  7  8  q  10 11121314151617181qZ>21 22Z32425262728  f  3x6= 18
       a      -5°C         1°C warmer       -4°C
                                                                                                                                               6x3= 18
       b      +3°e        3°C warmer        +6°e                                        7 X  3 = 21                                            18 +  3 = 6
       c      -6°C         1°C cooler       -7°C                 b                              3 X  q = 27                                    18+6=3
       d      -2°C        2°C warmer          ooe                •  I                                                                   I.
                                                                  a  1  2  3  4  5  6  7  8  q  10 11  12 13 14 15 16 17 18 1q 20 21  22 Z3 24 25 26 27 28   00
       e        ooe       2°C cooler        -2°C
                                                                                                                                            Open: making up six
                                                                                                q X  3 = 27
                                                                                                                                            stars using only 2, 3, 5,
                                                                 Challenge Total cost: £2.25; change from £5: £2.75 (1/3 a,b)               6,  1  0, 15, 30, qO.
   39   40   41   42   43   44   45   46   47   48   49