The Improving Mathematics Education in Schools (TIMES) Project         MEASUREMENT AND 
                                                                                GEOMETRY  Module 13
                                            CONSTRUCTION
                                      A guide for teachers  Years –          ue  ­11
                                                                               YEARS
                                                                             7
                                                                                8
             Construction
             (Measurement and Geometry: Module 13)
             For teachers of Primary and Secondary Mathematics
             510
             Cover design, Layout design and Typesetting by Caire o
             The mproving Mathematics ducation in Schoos TMS 
             Pro ect ­00€‚­011 ƒas funded by the „ustraian …overnment 
             †epartment of ducation, mpoyment and ‡orˆpace 
             ‰eationsŠ
             The vieƒs e‹pressed here are those of the author and do not 
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             †epartment of ducation, mpoyment and ‡orˆpace ‰eationsŠ
             © The Žniversity of Mebourne on behaf of the internationa 
             Centre of ‹ceence for ducation in Mathematics C‚M, 
             the education division of the „ustraian Mathematica Sciences 
             nstitute „MS, ­010 e‹cept ƒhere otherƒise indicatedŠ This 
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          The Improving Mathematics Education in Schools (TIMES) Project        MEASUREMENT AND 
                                                                                GEOMETRY  Module 13
                                            CONSTRUCTION
                                      A guide for teachers - Years 7–8          June 2011
                                                                 Peter Brown
                                                                Michael Evans
                                                                  David Hunt
                                                              anine Mcntosh
                                                                  Bill Pender
                                                              acui amae
                                                                               YEARS
                                                                             7
                                                                                8
                      {4}   A guide for teachers
                          CONSTRUCTION
                          ASSUMED KEDE
                          Students ƒi have had e‹tensive informa e‹perience ƒith geometry in earier years of studyŠ 
                          n particuar they shoud have met“
                            The use of compasses, ruers, and set s•uares to draƒ geometrica figures invoving 
                              straight ines and circesŠ
                            Types of anges – right anges, acute anges, obtuse anges and refle‹ angesŠ
                            Trianges, incuding an informa introduction to right‚anged, isoscees and  
                              e•uiatera triangesŠ
                            ™uadriateras, incuding an informa introduction to paraeograms, trapešia, 
                              rhombuses, s•uares and rectangesŠ
                            nforma e‹perience ƒith transations, reflections and rotations and ƒith the idea  
                              of symmetryŠ
                          „ number of the ideas introduced in the modue, Introduction to Plane Geometry, ƒi be 
                          used in this modue ƒithout redefinitionŠ These ideas incude points and ines, intervas, 
                          rays and anges, the siše of an ange, verticay opposite anges, corresponding anges, 
                          aternate anges, co‚interior anges, parae ines, concurrent ines, coinear points and  
                          the ange sum of a triangeŠ
                          MTIATI
                          „rchitects, civi engineers, andscape architects and toƒn panners among many other 
                          professionas have to be abe to produce accurate pans ƒe before the buider moves 
                          onto a site to begin constructionŠ ‡ith the advent of C„†C„M pacˆages it is easy to 
                          forget that ony thirty years ago technica draƒing sˆis ƒere an essentia part of the 
                          education of a engineers and architectsŠ n the same ƒay as the eectronic cacuator 
                          does not remove the need to be abe to cacuate, C„†C„M does not remove the need 
                          to be abe to draƒ accurate figuresŠ