SiyavulaGr4Maths

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MATHEMATICS
GRADE 4
MATHEMATICS GRADE 4
Maths Gr4_cover.indd 1 2016/12/13 2:19:12 PM
Mathematics
Grade 4
Learner Book
Developed and funded as an ongoing project by the Sasol Inzalo
Foundation in partnership with the Ukuqonda Institute
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Published by
The Ukuqonda Institute
http://www.ukuqonda.org.za
9 Neale Street, Rietondale 0084, South Africa
Title 21 Company, Reg. No. 2006/026363/08
Public Benefit Organisation, PBO No. 930035134
© 2016. Copyright in the work is vested in the publisher.
Copyright in the text remains vested in the authors.
Mathematics Learner Book Grade 4
ISBN: 978-1-4315-2287-3
This book was developed with the participation of the Department of Basic Education
of South Africa (DBE) with funding from the Sasol Inzalo Foundation (SaIF).
Authors:
Piet Human, Alwyn Olivier, Erna Lampen, Amanda le Roux,
Caroline Long, Chris Human
Contributors:
Malcolm Samuel Alexander, Joseph James Gordon, Funaki Junko,
John Bob Kolokoto, Nombuso Makhaza, Sylvia Sindiswa Mcosana, Thulisizwe Msomi,
Victor Sipho Mthombeni, Cebisa Faith Mtumtum, Basil Sakoor, David Sekao,
Nomvuyo Maureen Thobela, Patricia Whitten, Roselinah Sizane Zwane, Millard Zweni
Text design: Mike Schramm
Layout and typesetting: Anton Stark, Lebone Publishing Services
Illustrations and computer graphics:
Leonora van Staden; Piet Human; Lisa Steyn; Zhandré Stark
Cover design and illustration: Leonora van Staden and Piet Human
Photographers: Martin van Niekerk; Leonora van Staden (pp. 335 and 337)
IT solution and support for file sharing: Menge Media
Acknowledgements: Thanks to OldakQuill (2002), whose photograph of the moon
appears on p. 173, for sharing his photograph on www.commons.wikimedia.org in
the public domain. We extend special thanks to 34 Fine Art and Esther Mahlangu for
kindly allowing us to use their photographs on p. 181. We also wish to thank Elsa Retief
for the photograph of the honeycomb on p. 334. The photographs of the rondavel on
p. 309 and the fish on p. 334 are from Shutterstock.
Printed by:
[printer name and address]
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Your freedom to legally copy this book
This work is published under a Creative Commons
Attribution-NonCommercial 4.0 Unported License (CC BY-NC 4.0).
http://creativecommons.org/licenses/by-nc/4.0/
You are allowed to freely copy this book subject to the qualifications below. You can
photocopy, print and distribute it as you like. You may download it onto any electronic
device, distribute it via email, and upload it to your website, at no charge. You may also
adapt the text and illustrations.
Attribution:
When doing any of the above, you should provide clear acknowledgement of the
license/copyright holders (‘attribute the original work’).
This attribution should include the name(s) of the original book(s) and the publisher,
as well as acknowledgement of the SaIF and the DBE of South Africa. You should also
provide the Creative Commons web address which explains this type of license:
http://creativecommons.org/licenses/by-nc/4.0/
If you made changes to the material, you must indicate what changes you have made.
You may not in any way suggest that the licensor endorses you or your use of your
material or your changes to the material.
Restrictions:
You may not make copies of this book or a part of this book – in printed or electronic or
audio or video or whatever form – for a profit-seeking purpose.
Limited rights on use of photos containing recognisable persons or trademarks:
A photograph in the book that shows a person or trademark emblem/insignia in an
even slightly recognisable manner may not be used out of its learning context, and
may not be used for an intended audience other than learners/students and teachers.
A photo containing a person or trademark emblem/insignia may only be used in a
web page or in print or in a slide show (or in any other media) if it is for a not-for-profit
teaching/learning purpose, and if the photo on that page/web page/slide/other media is
accompanied by related learning material(s) that is at least as big as the photo itself.
No photograph in the book may be used for promotional or advertising purposes, even
if such promotion or advertising is not for a profit-seeking purpose.
No photograph in the book that shows a person may be used on the cover of any
derived work, or in any media in a way equally prominent to the cover of a book.
Rights of other copyright holders:
All reasonable efforts have been made to ensure that materials included
are not already copyrighted to other entities, or in a small number of cases,
to seek permission from and acknowledge copyright holders. In some cases this
may not have been possible. The publishers welcome the opportunity for redress
with any unacknowledged copyright holders.
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IV UNIT 1: WHOLE NUMBERS
Contents
term 1
.............................................................. 1
Unit 1: Whole numbers ...................................................................3
Unit 2: Number sentences ............................................................18
Unit 3: Whole numbers: Addition and subtraction ........................26
Unit 4: Numeric patterns ..............................................................51
Unit 5: Whole numbers: Multiplication and division ...................... 60
Unit 6: Time .................................................................................73
Unit 7: Data handling ...................................................................86
Unit 8: Properties of two-dimensional shapes ................................96
Unit 9: Whole numbers: Multiplication and division .................... 104
term 2
.......................................................... 117
Unit 1: Whole numbers ...............................................................119
Unit 2: Whole numbers: Addition and subtraction ......................128
Unit 3: Common fractions ..........................................................136
Unit 4: Length ............................................................................147
Unit 5: Whole numbers: Multiplication .......................................161
Unit 6: Properties of three-dimensional objects ...........................173
Unit 7: Geometric patterns .........................................................181
Unit 8: Symmetry .......................................................................189
Unit 9: Whole numbers: Addition and subtraction ......................193
Unit 10: Whole numbers: Division ..............................................200
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SiyavulaGr4Maths

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