SENIOR PHASE OXFORD SUCCESSFUL


MATHEMATICS OUP SA


Oxford Successful Mathematics is a popular CAPS-aligned series that includes:  updated assessments according to the DBE’s 2017 Strengthening the CAPS circular


 a Formal Programme of Assessment with assessment tools  consolidation exercises at the end of each chapter  a Teacher’s Guide with:  guidelines to implement all activities  remedial activities  extension activities  a teaching plan for the year


 a free resource CD, packed with useful teacher resources (Grade 8 and 9).


GRADE 7 Learner’s Book


Learner’s Book e-pub3


*Teacher’s Guide *Leerdersboek


*Onderwysersgids


GRADE 8 Learner’s Book


Learner’s Book e-pub3


*Teacher’s Guide *Leerdersboek


*Onderwysersgids


GRADE 9 Learner’s Book


Learner’s Book e-pub3


*Teacher’s Guide *Leerdersboek


*Onderwysersgids


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*The full list of e-pdf titles is available in the price list.


Mathematics CORE CLASSROOM COURSE


Oxford Successful Mathematics Grade 7 Learner’s Book Secondary Catalogue 15


SENIOR PHASE


Draw a transversal CD through point D. This is a line that cuts AB at any angle.


Open the compass to about 3 cm.


Put the point of the compass on D.


Draw an arc to cut lines AB at X and line CD at Y.


Put the point of the compass at C.


Keeping the radius of the compass the same, draw an arc to cut line DC at F and extend this arc towards line AB.


A D Y C Q F


X


B


Put the point of the compass at X and open the compass to measure the distance to Y.


Put the point of the compass at F and keeping the same radius draw an arc to cut the arc through. Call this point Q.


Draw a line through CQ. CQ||AB. Drawing parallel lines with a compass and ruler takes some practice. Exercise 1


1 2 3 4


Draw line MN 10 cm long. Mark any point R on MN. Draw line PQ||MN.


Practise drawing parallel lines.


Look around the classroom and write down three places where there are parallel lines. An example is that the sides of the door frame are parallel.


Unit 3: Parallel and perpendicular lines


77 9780195996449_OS_Maths_7_LB_masterset_Reprint.indb 77


CHAPTER 3


Parallel lines As you can see in Figure 4, the banks of a river are not parallel.


Figure 4 The banks of a river are not parallel.


Sometimes the river is narrow, and sometimes wide. The banks are not the same distance apart. Railway lines, as shown in figure 5, are exactly the same distance apart for the length of the lines. Why do you think this is important? We call lines that never meet but always stay exactly the same distance apart parallel lines. If there are two lines AB and CD that are parallel, you write AB||CD.


Parallel lines are lines that are the same distance apart for the complete length of the lines. You can write YZ is parallel to WX like this: YZ||WX.


Constructing parallel lines Worked example


Figure 5 Railway lines are parallel.


New words


parallel lines are lines that are the same distance apart for the complete length of the lines. You can write YZ is parallel to WX like this: YZ||WX


a transversal is a line intersecting other lines


Construct parallel lines AB and CQ. Solution You will need a ruler and a pair of compasses to do this diagram.


Draw line AB about 8 cm long. Mark any point D on line segment AB. B


B D D AA


76 Chapter 3 Construction of geometric figures


idb 76


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