Page 46 - ADVANCED MATH F.5
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Form Five                                                                                                                                          Form Five


          Answers to Exercise 3.4

                  7 14 7 14                            32  32 
          1.  (a)  − ,  55   , and ,  and (25, (25, 2222 )      )     (c)   − 5, and and (7, 40)(7, 40)
               −
                                                                 ,
                                                        5,
                                                       −
                 
             
                      
                         
                                                                
                                                         
                                                      
                                                             
                 
             
                       5  5
                                                      
                                                         
                                                              5  5 
         FOR ONLINE READING ONLY
                                                       19
             (b) ( 1, 3),−    no external division     (d)  ⎛  19⎞  ⎞  ,
                                                      ⎛
                                                                and (8, 6)
                                                      ⎜  ⎜  ,6  ⎟  ,6and (8, 6)
                                                              ⎟
                                                      ⎝  ⎝  3 ⎠  ⎠ 3
          2.  C(20, 22)                       8. m =  2, n = 3
          3.  0.41 units                      9.  1:3
          4.  P( 1, 3), Q(2,3)−−              10.        73 64   ,  
                                                       13 13 
          5.  m = 3, n =  2
                                              11.  A − 4,  −   7   B   −  20 −  ,  9 
          6.  2:9                                       3         7  7   
          A circle
          Teaching steps
              1.   Design an activity that will engage students in deducing the
                  standard equation of a circle. Use Figure 3.6 in the Student’s
                  Book  to  assist  students  through  discussion  to  describe  the
                  locus of a point that moves such that its distance from a fixed
                  point is constant.
              2.   Assist students through discussion to identify parts of a circle
                  using GeoGebra, models, or simulations. Allow students to
                  share alternative methods of deriving the standard equation
                  of a circle.
              3.   Guide students through discussion to derive  the  general
                  equation  of a circle.  Allow students to share alternative
                  methods of deriving the general equation of a circle.
              4.   For further discussion, guide the students to discuss Examples
                  3.12, 3.13, and 3.14 in the Student’s Book, and give them
                  constructive feedback.


                                                 40
         Mathematics for Advanced Secondary Schools



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