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Mathematics Textbook Grade 10 NCAPS (Revised - New Edition)
ISBN 13: Print: 9781776112098
E-pub: 9781776112104
PDF: 9781776112111
Product Code: MAT 216
Author: M.D Phillips
J Basson
C Botha
J Odendaal
First Edition: August 2016
PUBLISHERS
ALLCOPY PUBLISHERS
P.O. Box 963
Sanlamhof, 7532
Tel: (021) 945 4111, Fax: (021) 945 4118
Email: info@allcopypublishers.co.za
Website: www.allcopypublishers.co.za
ii
MATHS TEXTBOOK
GRADE 10 NCAPS INFORMATION
(Revised - New Edition)
The
AUTHORS
MARK DAVID PHILLIPS
B.SC, H Dip Ed, B.Ed (cum laude) University of the Witwatersrand.
Mark Phillips has over twenty-five years of teaching experience in both state and private schools and has a
track record of excellent matric results. He has presented teacher training and learner seminars for various
educational institutions including Excelearn, Isabelo, Kutlwanong Centre for Maths, Science and
Technology, Learning Channel, UJ and Sci-Bono. Mark is currently a TV presenter on the national
educational show Geleza Nathi, which is broadcast on SABC 1. He has travelled extensively in the United
Kingdom, Europe and America, gaining invaluable international educational experience. Based on his
experiences abroad, Mark has successfully adapted and included sound international educational
approaches into this South African textbook. The emphasis throughout the textbook is on understanding
the processes of Mathematics.
JURGENS BASSON
B.A (Mathematics and Psychology) HED RAU (UJ)
Jurgens Basson is a Mathematics consultant with more than 25 years experience and expertise in primary,
secondary and tertiary education. His passion is the teaching of Mathematics to teachers, students and
learners. Jurgens founded and started the RAU / Oracle School of Maths in 2002 in partnership with
Oracle SA. Due to the huge success of this program in the community, there are now several similar
programs running in the previously disadvantaged communities that are being sponsored by corporate
companies. During 2012, one of his projects sponsored by Anglo Thermal Coal in Mpumalanga was voted
Best Community Project of the Year. Jurgens had the privilege to train and up skill more than 15 000
teachers countrywide since 2006. He was also part of the CAPS panel that implemented the new syllabus
for Grade 10 - 12 learners. He successfully co-authored the Mind Action Series Mathematics textbooks,
which received one of the highest ratings from the Department of Education.
CONRAD BOTHA
Maths Hons, PGCE, B.Sc (Mathemacs and Psychology) Rand Afrikaans University.
Conrad Botha has been an educator in both state and private schools for the past eight years. He is
currently Head of Department at The King’s School West Rand and has also been extensively involved in
teaching Maths at The Maths Centre (Grades 4-12). The institution tutors both primary and high school
learners in Maths, Science as well as conducts examination training sessions for Grade 11 and 12
learners. The experience he obtained at The Maths Centre resulted in him gaining valuable knowledge and
teaching methodology, particularly in the implementation of the new curriculum. Conrad has also done
editing work for the Learning Channel.
JACO ODENDAAL
B.Sc (Mathematics and Applied Mathematics)
Jaco Odendaal has been an educator of Mathematics and Advanced Programme Mathematics for the past
ten years. He is currently the Head of Mathematics at Parktown Boys’ High School in Parktown,
Johannesburg. He has worked as a teacher trainer in many districts in Limpopo and Mpumalanga. Jaco
has a passion for Mathematics and the impact it can have in transforming our society. He has been
successful in teaching and tutoring Mathematics at all levels, from primary school to university level. He
has also worked with learners at both ends of the spectrum, from struggling to gifted learners. He is known
for his thorough, yet simple explanation of the foundational truths of Mathematics.
iii
MATHS TEXTBOOK
GRADE 10 NCAPS INFORMATION
(Revised - New Edition)
The
CONCEPT
This revised edition of the Mind Action Series Mathematics Grade 10 is suitable for both DoE and IEB
schools and is completely CAPS aligned. It contains the following exciting new features:
The approach to Functions is more effective and includes more examples and exercises on graph
interpretation. The axes of symmetry for hyperbolas has also been included.
Euclidean Geometry contains more challenging questions. The reasons used for statements are
aligned with the requirements of the DoE.
Financial Mathematics contains exercises that have realistic interest rates and population growth
has been included.
Statistics is a major improvement and percentiles are discussed in detail. The examples and
exercises are more relevant to the modern world.
Probability is far more learner-friendly. Teaching Venn diagrams using the methods discussed will
lead to a greater understanding of the rules.
The chapter on Measurement is a major improvement on the original chapter.
The other topics (Trigonometry, Analytical Geometry, Number Patterns and Algebra) have also
been improved.
ENDORSEMENT
The original textbook was great, but this revised book is in a league of its own. The approaches used help
learners get to the point quickly and completing the syllabus will be a breeze. The layout of the book is
user-friendly and the exercises are not too little and not too much. The consolidation and extension
exercises are brilliant and are a must for the top kids. I am definitely going to switch to this new book. Well
done to the authors!
Mrs Judy Ennis (HOD Maths)
iv
MATHEMATICS
TEXTBOOK
GRADE 10 NCAPS
(Revised - New Edition)
CONTENTS
CHAPTER 1 ALGEBRAIC EXPRESSIONS 1
CHAPTER 2 EXPONENTS 32
CHAPTER 3 NUMBER PATTERNS 41
CHAPTER 4 EQUATIONS AND INEQUALITIES 46
CHAPTER 5 TRIGONOMETRY 62
CHAPTER 6 FUNCTIONS 103
CHAPTER 7 EUCLIDEAN GEOMETRY 163
CHAPTER 8 ANALYTICAL GEOMETRY 188
CHAPTER 9 FINANCIAL MATHEMATICS 206
CHAPTER 10 STATISTICS 219
CHAPTER 11 MEASUREMENT 244
CHAPTER 12 PROBABILITY 257
CHAPTER 13 SOLUTIONS TO EXERCISES 274
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