NEW GENERAL MATHEMATICS - Pearson

1 ZI Chima, GU Garba, AO Kalejaiye, MF MacraeCurriculum2013 NERDCNEW GENERAL MATHEMATICSfor Junior Secondary SchoolsJSS Teacher s Guide 3 Pearson Education LimitedEdinburgh GateHarlowEssex CM20 2 JEEnglandand Associated Companies throughout the world Pearson Education Limited 2014 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of the published in 2014 ISBN 9781447978343 It is illegal to photocopy any page of this book without the written permission of the copyright design by Dion RushovichTypesetting by Martingraphix Acknowledgements:The Publishers would like to thank the following for the use of copyrighted images in this publication:Cover photo/artwork from Carol and Mike Werner/ Alamy / Afripics A09T98 Every effort has been made to trace the copyright holders.

2 In the event of unintentional omissions or errors, any information that would enable the publisher to make the proper arrangements will be is the first time in two decades that a teacher s component has been prepared for the New GENERAL MATHEMATICS series, which previously consisted of the Student s Book and the Student s Practice Book. In this revision, the Student s Practice Book has been called the Workbook. This Teacher s Guide supports the New GENERAL MATHEMATICS for Junior Secondary Schools 1 3 series as revised to align to the 2013 NERDC Teacher s Guide contains: information on how to use the course as a whole a suggested scheme of work for the year and a curriculum matching chart additional chapters that were not included in the Student s Book. You can use these with your class, as time permits suggested lesson plans of how to break each chapter down into teachable portions, as well as notes on foundation knowledge required and assessment milestones printable test papers for the chapter revision and term revision tests answers for the puzzle corners, Chapter revision tests, and term revision tests, which were deliberately excluded from the Student s Book workbook marking hope that you will find this guide a useful resource for you as a teacher.

3 We welcome any comments or suggestions you may have, and ask you to direct your comments through the publisher, using our website address .. iiiJSS3 Scheme of Work and Curriculum Matching Chart .. vMethodology and Features of the Student Book, Teacher s Guide and Workbook .. ixSection 1: Additional material .. 1 Preliminary chapter: Review of previous coursework .. 2 Enrichment chapter: ICT and computers .. 14 Section 2: Lesson plans .. 20 Chapter 1 Binary system: Operations and applications .. 21 Chapter 2 Word problems .. 23 Chapter 3 Factorisation 1: Common factors .. 25 Chapter 4 Geometrical constructions .. 27 Chapter 5 Area of plane shapes .. 29 Chapter 6 Formulae: Substitution; change of subject .. 31 Chapter 7 Similarity 1: Similar shapes and scale factors .. 33 Chapter 8 Trigonometry 1: Tangent of an angle.

4 35 Chapter 9 Factorisation 2: Quadratic expressions .. 37 Chapter 10 Equations 1: Equations with fractions .. 40 Chapter 11 Compound interest .. 42 Chapter 12 Similarity 2: Area and volume of similar shapes .. 44 Chapter 13 Proportion: Direct; inverse; reciprocal .. 46 Chapter 14 Equations 2: Simultaneous linear equations .. 48 Chapter 15 Trigonometry 2: Sine and cosine of angles .. 50 Chapter 16 Everyday statistics .. 52 Chapter 17 Rational and non-rational numbers .. 54 Section 3: Revision tests .. 56 Chapter revision test sheets .. 57 Chapter revision test answers .. 87 Term revision test sheets .. 90 Term revision test answers .. 116 Section 4: Workbook answer sheets .. 118 Index .. 179vJSS 3 Scheme of Work and Curriculum matching chartThe chart on the following pages also appears in the Students Book. It combines a Scheme of Work for JSS3 with corresponding themes and objectives that appear in the current NERDC basic MATHEMATICS curriculum for Junior Secondary of WorkThe Scheme of Work appears in the three left-hand columns of the chart.

5 The scheme follows the chapter order of New GENERAL MATHEMATICS JSS Student's Book 3 and is based on an average school term of ten effective teaching weeks. For Terms 1 and 2, the chapters in the book have been carefully arranged in a sequence that combines a logical coverage of the curriculum topics with a spiral approach to learning. By spiral approach, we mean that instead of treating a curriculum theme (such as algebra) all at once, the chapters return to a theme during Terms 1 and 2, enabling step-by-step learning so as to develop competence and capacity over time. Term 3 is devoted to whole course revision. In this case it is more appropriate to revise the course theme by that the Scheme of Work makes allowance for end-of-term revision and testing, an important component of the school chapter order provides a sound and carefully thought-out Scheme of Work.

6 However, other schemes are perfectly possible. Your school, district or State may have a preferred approach. We advise that you follow the official scheme where it exists. Otherwise, simply follow the chapter order of New GENERAL MATHEMATICS JSS Student's Book Section 1 of this Teacher's Guide there is an enrichment chapter: ICT and computers. This chapter is only appropriate if students have access to computers and a relevant spreadsheet program. Refer to this chapter if possible, bearing in mind that it is not examinable at JSCE matching chartThe two right-hand columns of the chart show how, in Terms 1 and 2, the chapters of New GENERAL MATHEMATICS JSS Student's Book 3 match with the National Curriculum as published by NERDC in 2013. The first column shows the five curriculum themes and related topics and the page number in the NERDC curriculum where they may be found.

7 The curriculum themes are: Number and numeration Basic operations Algebraic processes Mensuration and geometry Everyday statisticsThe final column contains related curriculum performance , these columns show that New GENERAL MATHEMATICS JSS Student's Book 3 fully covers the NERDC curriculum. However, due to space restrictions, NERDC references have been abbreviated. We advise that you refer to the full 36-page MATHEMATICS Curriculum document (NERDC, 2013).We wish to draw your attention to the performance objectives. The objectives state what students should be able to do after they have been taught a topic. Objectives are spelled out in full at the beginning of each chapter of New GENERAL MATHEMATICS and are reflected in the Chapter Summary that appears at the end of the chapter. Each chapter contains an end of chapter test to help you to measure student attainment of the Scheme of Work and Curriculum matching chartviJSS 3 Scheme of Work and Curriculum matching chartScheme of Work: JSS3, Term 1 Curriculum matchingTERM 1 NGM Ch noChapter titleWorksheet noNERDC JSS3 Themes and TopicsNERDC JSS3 Performance ObjectivesWeek 1 Pre 1 Review of previous courseworkNumber and numerationBasic operationsAlgebraic processes Mensuration and geometryEveryday statisticsContent summary relating toNERDC performance objectives for JSS1 and JSS2 Week 2Ch 1 Binary system:Operations and applications1 Number & Numeration, p.

8 28 Sub-theme: Whole numbersTopic 1: Whole numbersBasic Operations, p. 30 Topics 1 4 Operations with base two numerals Recall and use binary number operationsConvert binary numbers to other bases and vice versaSolve QR problems on binary systemsAdd, subtract, multiply numbers in base twoWeek 3Ch 2 Word problems2 Number & Numeration, p. 28 Sub-theme: Whole numbersTopic 1: Whole numbersTranslate word problems into numerical expressionsWeek 4Ch 3 Factorisation 1: Common factors3 Algebraic Processes, p. 31 Sub-theme: Algebraic operationsTopic 1: Factorisation Factorise simple algebraic expressionsSolve word problems involving factorisationWeek 5Ch 4 Construction4 Mensuration & Geometry, p. 35 Sub-theme: ShapesTopic 5: ConstructionRevise line and angle bisectionConstruct angles of 90 , 45 , 60 , 30 Copy a given angleConstruct simple shapesWeek 6Ch 5 Area of plane shapes5 Mensuration & Geometry, p.

9 34 Sub-theme: ShapesTopic 5: Area of plane figuresFind the area of triangles, parallelograms, trapeziums, circles, sectors Solve word and QR problems on area (in the home, the environment and in relation to land measure)Week 7Ch 6 Formulae:Substitution, change of subject6 Algebraic ProcessesSubstitute values in a formulaChange the subject of a formulaWeek 8Ch 7 Similarity 1:Place shapes, scale factor7 Mensuration & Geometry, p. 33 Sub-theme: ShapesTopic 1: Similar shapesIdentify similar plane figures (triangles, rectangles, squares) in the environmentEnlarge a shape by a given scale factorWeek 9Ch 8 Trigonometry 1:Tangent of an angle8 Mensuration & Geometry, p. 33 Sub-theme: ShapesTopic 2: TrigonometryDetermine the tangent of an acute angleApply the tangent ratio to finding distances, lengths and anglesWeek 10 Revision Exercises and Tests, Ch 1 - 8 Use revision exercises and tests to consolidate Term 1 contentEnd of Term 1viiJSS 3 Scheme of Work and Curriculum matching chartScheme of Work: JSS3, Term 2 Curriculum matchingTERM 2 NGM Ch noChapter titleWorksheet noNERDC JSS3 Themes and TopicsNERDC JSS3 Performance ObjectivesWeek 1Ch 9 Factorisation 2:Quadratic expressions9 Algebraic Processes, p.

10 31 Sub-theme: Algebraic operationsTopic 1: FactorisationFactorise quadratic expressionsSolve word problems involving factorisationWeek 2Ch 10 Equations 1:Equations with fractions10 Algebraic Processes, p. 31 Sub-theme: Algebraic operationsTopic 2: Simple equations involving fractionsSolve simple equations involving fractionsSolve word problems leading to equations involving fractionsWeek 3Ch 11 Compound interest11 Number & Numeration, p. 29 Sub-theme: Whole numbersTopic 1: Whole numbersSolve compound interest problemsApply the use of compound interest in daily life activitiesWeek 4Ch 12 Similarity 2:Area and volume of similar shapes12 Mensuration & Geometry, p. 33 Sub-theme: ShapesTopic 1: Similar shapesCalculate lengths, areas and volumes of similar shapesUse scale factor (k, k2, k3) in relation to areas and volumes of similar shapesWeek 5Ch 13 Proportion:Direct, inverse, reciprocal13 Number & Numeration, p.