Form 1 Teacher’s Guide For NGM JSS1 - Pearson Africa
NigeriaJunior Secondary MathsForm 1Teacher’s Guide for NGM JSS1
Pearson Education LimitedEdinburgh GateHarlowEssex CM20 2JEEnglandand 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 ortransmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise,without the prior permission of the publishers.First published in 2014ISBN 9781447978329It is illegal to photocopy any page of this book without the written permission of the copyright holder.Cover design by Dion RushovichTypesetting by Firelight StudioAcknowledgements:The Publishers would like to thank the following for the use of copyrighted images in this publication:Cover photo/artwork from GlowImages / BP880KEvery effort has been made to trace the copyright holders. In the event of unintentional omissionsor errors, any information that would enable the publisher to make the proper arrangements willbe appreciated.
IntroductionThis is the first time in two decades that a teacher’s component has been prepared for the New GeneralMathematics series, which previously consisted of the Student’s Book and the Student’s Practice Book. Inthis revision, the Student’s Practice Book has been called the Workbook. This Teacher’s Guide supports theNew General Mathematics for Junior Secondary Schools 1–3 series as revised to align to the 2013 NERDCcurriculum.The 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 not included in the Student’s Book. You can use these with your class if time permits suggested lesson plans of how to break each chapter down into teachable portions, as well as notes onfoundation 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 deliberatelyexcluded from the Student’s Book workbook marking sheets.We hope that you will find this guide a useful resource for you as a teacher. We welcome any comments orsuggestions you may have, and ask you to direct your comments through the publisher, using our websiteaddress www.pearsonnigeria.com.Introductioniii
ContentsIntroduction.iiiJSS1 Scheme of Work and Curriculum matching chart.vFeatures of the Student’s Book, Teacher’s Guide and Workbook.ixSection 1: Additional material.1Preliminary chapter: Basic operations; the SI system. 2Preliminary chapter: Answers. 10Section 2: Suggested lesson plans. 12Chapter 1 Development of number systems.Chapter 2 Large and small numbers.Chapter 3 Factors and multiples.Chapter 4 Fractions 1: Fractions and percentages.Chapter 5 Use of symbols 1: Letters for numbers.Chapter 6 Solids 1: Properties.Chapter 7 Algebraic simplification 1: Grouping.Chapter 8 Angles 1: Measurement.Chapter 9 Fractions 2: Decimals and percentages.Chapter 10 Use of symbols 2: Word problems.Chapter 11 Plane shapes 1: Properties.Chapter 12 Directed numbers: Addition and subtraction.Chapter 13 Plane shapes 2: Perimeter.Chapter 14 Plane shapes 3: Area.Chapter 15 Algebraic simplification 2: Brackets.Chapter 16 Solids 2: Volume.Chapter 17 Statistics 1: Purpose and data collection.Chapter 18 Statistics 2: Presentation of data.Chapter 19 Simple equations.Chapter 20 Angles 2: Angles between lines; angles in a triangle.Chapter 21 Geometrical constructions.Chapter 22 Statistics 3: Averages.Chapter 23 Estimation and approximation.Chapter 24 Base two 446484951Section 3: Revision tests. 53Chapter revision test sheets.Chapter revision test answers.Term revision test sheets.Term revision test answers.549095116Section 4: Workbook answer sheets. 118Index. 179ivContents
JSS1 Scheme of Work and Curriculum matching chartThe chart on the following pages also appearsin the Students’ Book. It combines a Scheme ofWork for JSS1 with corresponding themes andobjectives that appear in the current NERDCbasic mathematics curriculum for JuniorSecondary schools.Scheme of WorkThe Scheme of Work appears in the three lefthand columns of the chart. The Scheme followsthe chapter order of New General MathematicsJSS Student’s Book 1 and is based on an averageschool term of ten effective teaching weeks. Thechapters in the book have been carefully arrangedin a sequence that combines a logical coverage ofthe curriculum topics with a spiral approach tolearning. By spiral approach, we mean that insteadof treating a curriculum theme (such as algebra) allat once, the chapters return to a theme throughoutthe year, enabling step-by-step learning so as todevelop competence and capacity over time. Notethat the Scheme of Work makes allowance forend-of-term revision and testing, an importantcomponent of the school year.The chapter order provides a sound and carefullythought-out Scheme of Work. However, otherschemes are perfectly possible. Your school, districtor State may have a preferred approach. We advisethat you follow the official scheme where it exists.Otherwise, simply follow the chapter order of NewGeneral Mathematics JSS Student’s Book 1.Curriculum matching chartThe two right-hand columns of the chart showhow the chapters of New General MathematicsJSS Student’s Book 1 match with the NationalCurriculum as published by NERDC in 2013.The first column shows the five curriculum themesand related topics and the page number in theNERDC curriculum where they may be found.The curriculum themes are: Number and numeration Basic operations Algebraic processes Mensuration and geometry Everyday statisticsThe final column contains related curriculumperformance objectives.Together, these columns show that New GeneralMathematics JSS Student’s Book 1 fully coversthe NERDC curriculum. However, due tospace restrictions, NERDC references have beenabbreviated. We advise that you refer to the full36-page Mathematics Curriculum document(NERDC, 2013).We wish to draw your attention to the performanceobjectives. The objectives state what studentsshould be able to do after they have been taughta topic. Objectives are spelled out in full at thebeginning of each chapter of NGM and arereflected in the Chapter Summary that appears atthe end of the chapter. Each chapter contains anend-of-chapter test to help you to measure studentattainment of the objectives.JSS1 Scheme of Work and Curriculum matching chartv
Scheme of Work: JSS1, Term 1Curriculum matchingNGMWork- NERDC JSS1TERM 1 Ch no Chapter titlesheet Themes and Topicsno.Week 1 PreBasic operationsBasic Operations, p. 5and SI systemTopic 1: Addition andSubtractionWeek 2 Ch 1Development of1Basic Operations, p. 5number systemsTopic 1: Addition andSubtractionWeek 3 Ch 2Large and small2Number & Numeration,numbersp. 1Topic 1: Whole NumbersWeek 4Ch 3Factors andmultiples3Week 5Ch 4Fractions 1:Fractions andpercentages4Week 6Ch 5Use of symbols1: Letters fornumbers5Week 7Ch 6Solids 1: Properties6Week 8Ch 7Algebraicsimplification 1:Grouping7Week 9Ch 8Angles 1:Measurement8Week 10Revision Exercises and Tests,Ch 1–8Add, subtract numbers correctlyState the place value of numbersCount and write in millions, billions,trillionsCount, write and read large quantitiesDevelop QR with large numbersFind LCM and HCF of whole numbersDevelop QR with LCM and HCFNumber & Numeration,pp. 1–2Topics 2 and 3: LCM, HCFNumber & Numeration,Identify and use equivalent fractionsp. 4Arrange fractions in ascending andSub-theme Fractionsdescending orderConvert fractions to percentagesBasic Operations, p. 6Add and subtract fractionsTopic 2: Addition andsubtraction of fractionsAlgebraic Processes, p. 10Solve problems with open sentencesTopic 1: Use of symbolsAdd, subtract, multiply, divide in opensentencesUse letters to represent symbols in opensentencesGeometry and Mensuration, Identify the properties of cubes,p. 15cuboids, pyramids, cones, cylinders andTopic 2 Three-dimensional spheresfiguresAlgebraic Processes, p. 12Identify positive and negativeTopic 2: Simplification ofcoefficients of termsalgebraic expressionsAdd and subtract like termsCollect and simplify like termsGeometry and Mensuration, Measure and identify anglesp. 16Topic 4: AnglesUse revision exercises and tests to consolidate Term 1 contentEnd of Term 1viNERDC JSS1Performance ObjectivesJSS1 Scheme of Work and Curriculum matching chart
Scheme of Work: JSS1, Term 2Curriculum matchingNGMWork- NERDC JSS1TERM 2 Ch no Chapter titlesheet Themes and Topicsno.Week 1 Ch 9Fractions 2:9Number & Numeration,Decimals andp. 4percentagesTopic 2: FractionsWeek 2Ch 10Use of symbols 2:Word problems10Week 3Ch 11Plane shapes 1:Properties11Week 4Ch 12Directed numbers:Addition andsubtraction12Week 5Ch 13Plane shapes 2:Perimeter13Week 6Ch 14Plane shapes 3:Area14Week 7Ch 15Algebraicsimplification 2:Brackets15Week 8Ch 16Solids 2: Volume16Week 9 Revision Exercises and Tests,Week 10 Ch 9–16End of Term 2Basic Operations, p. 9Topic 1: Addition andsubtraction of fractionsAlgebraic Processes, p. 11Topic 1: Use of symbolsAlgebraic Processes, p. 12Topic 2: Simplification ofalgebraic expressionsGeometry and Mensuration,p. 14Topic 1: Plane shapesBasic Operations, pp. 5–6Topic 1: Addition andsubtractionNERDC JSS1Performance ObjectivesConvert fractions to decimals Convertdecimals to fractions Convert fractionsto percentages Convert percentages tofractionsAdd and subtract decimal fractionsDevelop QR in problems with fractionsSolve open sentences involving twoarithmetic operationsSolve word problems and QR involvinguse of symbolsWrite word problems in symbolic termsIdentify various plane shapes by nameand propertyDraw and use the number line toillustrate directed numbersRelate negative numbers to everydayactivitiesAdd and subtract positive and negativenumbersGeometry and Mensuration, Find the perimeter of regular polygonsp. 14(square, rectangle, triangle, trapezium,Topic 1: Plane shapesparallelogram and circle)Geometry and Mensuration, Find the area of regular and irregularp. 14shapes (square, rectangle, triangle,Topic 1: Plane shapestrapezium, parallelogram and circle)Relate finding area to real-life situationsAlgebraic Processes, p. 12Insert/remove brackets SimplifyTopic 2: Simplification ofalgebraic expressions Write wordalgebraic expressionsproblems in symbolic termsDevelop QR in problems involvingbracketsGeometry and Mensuration, Find the volume of cubes, cuboidsp. 15Topic 2: Three-dimensionalfiguresUse revision exercises and tests to consolidate Term 2 contentJSS1 Scheme of Work and Curriculum matching chartvii
Scheme of Work: JSS1, Term 3Curriculum matchingNGMWork- NERDC JSS1TERM 3 Ch no Chapter titlesheet Themes and Topicsno.Week 1 Ch 17 Statistics 1:17Everyday Statistics, p. 17Purpose and dataTopic 1: Need for statisticscollectionTopic 2: Data collectionWeek 2Ch 18Statistics 2:Presentation ofdataSimple equations18Everyday Statistics, p. 17Topic 3: Data presentationWeek 3Ch 1919Algebraic Processes, pp. 11,13Topic 1: Use of symbolsTopic 3: Simple equationsWeek 4Ch 20Angles 2:Angles betweenlines; angles in atriangle20Week 5Ch 21Geometricalconstructions21Week 6Ch 2222Week 7Ch 23Statistics 3:AveragesEstimation andapproximationWeek 8Ch 24Base twoarithmetic24Week 9 Revision Exercises and Tests,Week 10 Ch 17–24End of Term 323NERDC JSS1Performance ObjectivesList purposes of statisticsUse statistics for planning, analysis andpredictionCollect statistical dataPresent statistical data in lists, tablesand graphsSolve open sentences involving twooperationsTranslate word sentences into equationsSolve simple equations and check thesolution of an equationGeometry and Mensuration, Identify and recall the properties ofp. 16vertically opposite angles, angles at aTopic 4: Anglespoint, angles on a straight line, adjacentangles, alternate angles, correspondinganglesFind the sum of the angles of a triangleRelate angles to real situationsGeometry and Mensuration, Construct parallel and perpendicularp. 16linesTopic 3: ConstructionBisect a line segmentConstruct angles of 90 and 60 Everyday Statistics, p. 17Determine the mean, median andTopic: Averagesmode of a set of dataBasic Operations pp. 7–8Estimate dimensions lengths, distances,Sub theme: Derivedcapacities and mass of various objectsoperationsApproximate answers to addition,subtraction, multiplication and divisionTopic 1: EstimationproblemsTopic 2: ApproximationRound off numbers to various degreesof accuracyApply approximation to everyday lifeUse QR in estimation andapproximationNumber & Numeration, p. 3 Count and group objects in twosTopic 4: Counting in baseConvert numbers between bases tentwoand twoTopic 5: Conversion ofAdd and subtract with binary numbersbase ten numerals to binary up to 3 digitsnumbersMultiply with binary numbers up to 2Basic Operations, p. 9digitsTopics 3, 4, 5:Addition, Subtraction andMultiplication of numbersin base twoUse revision exercises and tests to consolidate Term 3 contentNote: QR means Quantitative Reasoning (ability to cope with numbers and calculation).viii JSS1 Scheme of Work and Curriculum matching chart
Features of the Student's Book, Teacher's Guideand WorkbookFeatures of the Student's Book At the end of each chapter is a chapter summarythat lists the main learning outcomes studentsneed to achieve. Revision exercises round off each chapter asa mixed exercise covering all the problemsaddressed in the chapter. Summative assessment activities are providedat the end of every term in the three revisionchapters. These assessments test students on all theknowledge and skills they have gained in each term.The New General Mathematics JSS Student’sBook 1 consists of 24 chapters. Each chapter startswith a list of objectives, or commonly known asperformance objectives (as listed in NERDC,2013), that will be covered in each chapter.In addition, the exercises in the Student’s Bookhave been carefully developed to ensure integrationof the performance objectives from the curriculum,and a steady progression of skills throughoutthe year.The curriculum matching chart and scheme ofwork provide a suggested order for you to follow.The chapters follow a ‘teach and practise’ approach: Teaching and learning materials are suggested.This section gives suggestions on what teachersand student should bring to each lesson. Weunderstand that it is not always possible toprovide everything listed. However, alwaysremember that Mathematics is a ‘doing’ subject.Therefore every student will need at least anexercise book, a pen, a drawing set and, whenappropriate, graph (grid or block) paper. New concepts are explained and given context intheir meaning. A full glossary is included at theback of the Student’s Book as well. Worked-through examples provide studentswith guidelines and models for setting outmathematical work. In some cases, we haveadded mark schemes to show students andteachers how marks are earned. Exercises allow students to practise on theirown. Exercises are graded by writing the questionnumbers in three different ways:1 You must do all of these questions if you areto understand the topic.2 You should do these questions if possible.3 If you want a challenge, then you could dothese questions.Additional features include: Key words: Key terminology, with definitions, ishighlighted for the students. Puzzle corners: Additional problems, usually ina real-life context to help grow an appreciation ofmathematics in everyday life.Quantitative reasoning [QR]Where you see QR beside an exercise or a question,this stands for Quantitative Reasoning. Studentsshould do and discuss these questions with youand their classmates. They give special practice atimproving the students’ number work and theirability to calculate.Features of the Teacher’s GuideThis New General Mathematics JSS Teacher’sGuide 1 is lesson-based. The chapters of theStudent’s Book are organised into a series oflessons. Chapters include the following features: The perfor
Introduction iii This 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.
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Independent Personal Pronouns Personal Pronouns in Hebrew Person, Gender, Number Singular Person, Gender, Number Plural 3ms (he, it) א ִוה 3mp (they) Sֵה ,הַָּ֫ ֵה 3fs (she, it) א O ה 3fp (they) Uֵה , הַָּ֫ ֵה 2ms (you) הָּ תַא2mp (you all) Sֶּ תַא 2fs (you) ְ תַא 2fp (you
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Teacher Access Center (TAC) Teacher Guide Version 20.4 May 2021 Arkansas Public School Computer Network. eSchoolPlus 20.4 TAC Teacher Training Guide 2 of 136 5/3/2021 This page intentionally left blank . eSchoolPlus 20.4 TAC Teacher Training Guide 3 of 136 5/3/2021 Table of Contents
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