Mat-Sec-Shape_and_Space_5_-_Bearings by xiaopangnv

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									                 GCSE
               Mathematics




Targeting Grade C

            Shape and Space
            Unit 5 Bearings
Can you…                                 If not you need


•Name the bearing of X from Y            TOP      X from Y, Y from X


•Work out simple bearings                Practice 1: Simple Bearings


•Use bearings to locate a position       Practice 2: Locating a point


                            Try a test   TAIL
TOP
   Remember
                                     Bearings are always
                                     measured from the
                                     North line

                                     They are always
                                     measured in a clockwise
                                     direction


  What is the bearing of Y from X?   They must have 3 digits
  What is the bearing of X from Y?




Lesson
Practice 1: Simple Bearings
 1.
                    N
                                          Diagram NOT
                                          accurately drawn
                                      A


                    63°
             138°
                    P




      B




            Work out the bearing of
            (i) B from P,
            (i) P from A,


                                                             Next
2.       North
     B




                 Measure and write down the bearing of B from A.
                 On the diagram, draw a line on a bearing of 107°
                 from A.




          A




Lesson
    Practice 2:
1.   The diagram shows the position of Colwyn Bay and the position of Blackpool.




                                                              N




N
                                                                  Blackpool




                                                                              The bearing of a ship from Colwyn Bay is 032°.
                                                                              The bearing of the ship from Blackpool is 290°.
                                                                              Draw an accurate diagram to show the position
     Colwyn Bay                                                               of the ship.
                                                                              Mark this position with a cross Label is S.




                                                                                                               Next
2.            A map is drawn to a scale of 1:25 000
              Two schools A and B are 12 centimetres apart on the map.
              (a)   Work out the actual distance from A to B.
                    Give your answer in kilometres.


     N




         A                                                           B



         B is due East of A.
         C is another school.
         The bearing of C from A is 064°.
         The bearing of C from B is 312°.
         (b)Complete the scale drawing
         Mark, with a cross (´), the position of the school C.

                                         Measure and write down the bearing of B from A.
                                         On the diagram, draw a line on a bearing of 107°
     Lesson                              from A.
                                                                         Are you ready for
TAIL                                                                     the answers ?
1.     This is a map of part of Northern England.


Blackpool X
                                                                   A plane flies in a straight line from
                    X Preston
                                                                         Preston to Stoke-on-Trent.
                                                   X Halifax   N
                                                                   (a)   How far does it fly?
                      Wigan                                              Give your answer in
                      X                                                  kilometres.
 Liverpool                          X Manchester
              X

                                                                         (a) 90 km

        Chester X
                                                                    (b) Measure and write down the
                                                                    bearing of Preston from Manchester     .
                                     X Stoke-on-Trent



                                                                         b) 317

 Scale: 1 cm represents 10 km


                                                                                            Next
                                                                                         Are you ready for
    TAIL                                                                                 the answers ?

      2.
                                                N                            Diagram NOT
                                                                             accurately drawn
                                                                                                        H

                        N                                                                                          C
                                     Hospital                                                   y
                                                                    Cinema
                                                                                     A


                          72°
                    Art                                                                   360 – 90 – 108 = 162
                    gallery
                                                                                                180  162
                                                                                         y                  9
                                                                                                    2


The diagram shows the position of each of three buildings in a town.                       72° + 9° = 81°
The bearing of the Hospital from the Art gallery is 072°.                                  So the bearing is 081
The Cinema is due East of the Hospital.
The distance from the Hospital to the Art gallery is equal to the distance from the Hospital to the Cinema.
Work out the bearing of the Cinema from the Art gallery.


    Lesson

								
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