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The course organizes learning through a study guide and sequential lessons, each supported by summaries and practice exercises with answers. It emphasizes student-centered learning outcomes, demonstrations, and assessable activities, aligning with Papua New Guinea’s reformed curriculum and the mission of Flexible, Open and Distance Education. The book includes acknowledgements, references, and guidance messages, published in 2016.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/grade-8-mathematics-strand-3-measurements-1-sub-strands/297537/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/grade-8-mathematics-strand-3-measurements-1-sub-strands/297537.png","ImageObject",300,407,{"name":92,"@type":93},"Quinn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-23","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are covered in the Measurements strand for Grade 8?","Question",{"text":113,"@type":114},"The strand covers four sub-strands: length, area, surface area, and volume and capacity, each developed through multiple lessons and practice work.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the course designed to support student learning and assessment?",{"text":118,"@type":114},"Learning outcomes are student-centered and delivered through demonstrations and activities that can be assessed, supported by a study guide and structured lesson progression.",{"name":120,"@type":111,"acceptedAnswer":121},"Are there summaries and answers for practice exercises in each sub-strand?",{"text":122,"@type":114},"Yes. 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WAIGANI, NCD  \nFOR DEPARTMENT OF EDUCATION PAPUA NEW GUINEA  \nGRADE 8  \nMATHEMATICS  \nSTRAND 3  \nMEASUREMENTS (1)  \nSUB-STRAND 1: LENGTH  \nSUB-STRAND 2: AREA  \nSUB-STRAND 3: SURFACE AREA  \nSUB-STRAND 4: VOLUME AND CAPACITY  \nAcknowledgements  \nWe acknowledge the contributions of all Secondary and Upper Primary Teachers who in one way or another helped to develop this Course.  \nSpecial thanks is given to the Staff of the Mathematics Department of FODE who played active role in coordinating writing workshops, outsourcing lesson writing and editing processes, involving selected teachers of NCD.  \nWe also acknowledge the professional guidance provided by the Curriculum Development and Assessment Division throughout the processes of writing and, the services given by the members of the Mathematics Review and Academic Committees.  \nThe development of this book was co-funded by GoPNG and World Bank.  \nMR. DEMAS TONGOGO  \nPrincipal-FODE  \nWritten by: Luzviminda B. Fernandez  \nFlexible Open and Distance Education  \nPapua New Guinea Published in 2016  \n@ Copyright 2016, Department of Education Papua New Guinea  \nAll 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 any other form of reproduction by any process is allowed without the prior permission of the publisher.  \nISBN: 978-9980-87-259-3  \nNational Library Services of Papua New Guinea  \nPrinted by the Flexible, Open and Distance Education  \nCONTENTS  \nPage  \nSecretary’s Message………………………………………………………………………….. 4  \nStrand Introduction……………………………………………………………………………. 5  \nStudy Guide……………………………………………………………………………………. 6  \nSUB-STRAND 1: LENGTH………………….…………………………………………... 7  \n Lesson 1: Units of Length……….………………………………………………. 9  \n Lesson 2: Estimating Lengths and Distances………………….……………… 16  \n Lesson 3: Measuring Length and Distances……………..……………………. 22  \n Lesson 4: Measures of Central Tendency……………………………………... 26  \n Lesson 5: Perimeter of Simple Shapes………………………………………… 34  \n Lesson 6: Perimeter of Composite Shapes………………………………….... 40  \nSummary……………………………………………………………… 45  \nAnswers to Practice Exercises 1 – 6 ………………………………. 46  \nSUB-STRAND 2: AREA...……………………………………………………................. 49  \n Lesson 7: Area of a Circle……………………………………………………….. 51  \n Lesson 8: Area of a Circle by Using Sectors …...………………..…………… 58  \n Lesson 9: Area of a Circle by Counting Squares ……………………….……. 62  \n Lesson 10: Area of a Circle by Using the Formula……………………..…........ 64  \n Lesson 11: Solving Problems Involving Area of Circle ….…………………..… 69  \nSummary……………………………………………………………… 74  \nAnswers to Practice Exercises 7 – 11..………………………….... 75  \nSUB-STRAND 3: SURFACE AREA……………………………………………………. 77  \n Lesson 12: Surface Area…………………………………………...……..……… 79  \n Lesson 13: Surface Area of Rectangular Prisms……………………………….. 84  \n Lesson 14: Surface Area of Triangular Prisms...……………………………….. 92  \n Lesson 15: Surface Area of Cylinders..…………………………………………. 99  \n Lesson 16: Surface Area of Pyramids…………………………………………… 106  \n Lesson 17: Solving Problems Involving Surface Area………………………..... 114  \nSummary…………………………………………….………………… 120  \nAnswers to Practice Exercises 12 – 17 ………………….………… 121  \nSUB-STRAND 4: VOLUME AND CAPACITY…………………………………………. 123  \n Lesson 18: Volume of Prisms………………………………………..…………… 125  \n Lesson 19: Volume of Cylinders………………………….…………………….... 134  \n Lesson 20: Volume of Pyramids……….………………………………………… 141  \n Lesson 21: Volume of Cones………………………..…………………………… 147  \n Lesson 22: The Litre……………………………………………………………….. 152  \n Lesson 23: Solving Problems on Volume and Capacity……………………….. 157  \nSummary……………………………………………………………… 165  \nAnswers to Practice Exercises 18 – 23 …………………………… 166  \nREFERENCES………………………………………………………………………………. 168  \nSECRETARY’S MESSAGE  \nAchieving ","cbCaiu8jlnPolbnQ","https://ap.wps.com/l/cbCaiu8jlnPolbnQ","pdf",2313790,169,"English","# Secretary’s Message\n# Strand Introduction\n# Study Guide\n# Sub-strand 1: Length\n## Lesson 1: Units of Length\n## Lesson 2: Estimating Lengths and Distances\n## Lesson 3: Measuring Length and Distances\n## Lesson 4: Measures of Central Tendency\n## Lesson 5: Perimeter of Simple Shapes\n## Lesson 6: Perimeter of Composite Shapes\n# Sub-strand 2: Area\n## Lesson 7: Area of a Circle\n## Lesson 8: Area of a Circle by Using Sectors\n## Lesson 9: Area of a Circle by Counting Squares\n## Lesson 10: Area of a Circle by Using the Formula\n## Lesson 11: Solving Problems Involving Area of Circle\n# Sub-strand 3: Surface Area\n## Lesson 12: Surface Area\n## Lesson 13: Surface Area of Rectangular Prisms\n## Lesson 14: Surface Area of Triangular Prisms\n## Lesson 15: Surface Area of Cylinders\n## Lesson 16: Surface Area of Pyramids\n## Lesson 17: Solving Problems Involving Surface Area\n# Sub-strand 4: Volume and Capacity\n## Lesson 18: Volume of Prisms\n## Lesson 19: Volume of Cylinders\n## Lesson 20: Volume of Pyramids\n## Lesson 21: Volume of Cones\n## Lesson 22: The Litre\n## Lesson 23: Solving Problems on Volume and Capacity\n# References","[{\"question\":\"What topics are covered in the Measurements strand for Grade 8?\",\"answer\":\"The strand covers four sub-strands: length, area, surface area, and volume and capacity, each developed through multiple lessons and practice work.\"},{\"question\":\"How is the course designed to support student learning and assessment?\",\"answer\":\"Learning outcomes are student-centered and delivered through demonstrations and activities that can be assessed, supported by a study guide and structured lesson progression.\"},{\"question\":\"Are there summaries and answers for practice exercises in each sub-strand?\",\"answer\":\"Yes. Each sub-strand includes a summary and an answers section for the practice exercises listed for the lessons in that sub-strand.\"}]","Grade 8 Mathematics - Strand 3 - Measurements (1) - Sub-strands | PDF",1789745476,426]