Teacher's Guide - Pearson

15c h a p t e rWorking with variablesSyllabus: General objectiveThis chapter deals with knowledge on working with variables.Specific objectives• Expand and/or simplify algebraic expressions of up to 4 terms and of degree 3.• Express as a single fraction, algebraic fractions with two terms and of degree 3,with both numerator and denominator having two terms.• Factorise quadratic expressions and include the concept of difference of twosquares.The use of algebra and algebraic concepts play a huge role in problem solving inMathematics, and the skills dealt with here form an integral part of the biggerpicture in Mathematics. One often hears students ask: “… but where will I use it inlife one day?”. This section of work lends itself to sketching the broader picture tostudents and to help them understand that Mathematics is like a tapestry frombehind: it often seems like a lot of loose ends with no purpose, but when iteventually all comes together one day, it makes the most beautiful picture!AnswersActivity 15.1 (Student’s Book page 266)1. a) x 2 ; 6x; 24; 4xb) Total area 5 x 2 1 6x 1 24 1 4x5 x 2 1 10x 1 24 units 2Exercise 15.1 (Student’s Book page 268)1. a) 2a 1 2ab 1 4bb) x 2 1 2x 2 3c) x 2 2 5x 2 14d) x 3 2 4x 2 1 3xe) x 3 1 2x 2 1 2x 2 388EXPLORING MATHEMATICS FORM 3