Mind-Action-Series-Book-12

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ALL RIGHTS RESERVED
©COPYRIGHT BY THE AUTHOR
The whole or any part of this publication may not be reproduced or transmitted in any
form or by any means without permission in writing from the publisher. This includes
electronic or mechanical, including photocopying, recording, or any information storage
and retrieval system.
Every effort has been made to obtain copyright of all printed aspects of this publication.
However, if material requiring copyright has unwittingly been used, the copyrighter is
requested to bring the matter to the attention of the publisher so that the due
acknowledgement can be made by the author.
Maths Textbook Grade 12 NCAPS
ISBN 13: 978-1-86921-482-1
Product Code: M A T 1 0 6
Authors: M.D Phillips
J. Basson
C. Botha
First Edition: April 2013
Approved for the National Catalogue
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
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MATHS GRADE
12
NCAPS
TEXTBOOK INFORMATION
MARK DAVID PHILLIPS
B.SC, H Dip Ed, B.Ed (cum laude) University of the Witwatersrand.
The author has over twenty years of teaching experience in both state and private schools. He has led the
Mathematics Department in two schools and is currently teaching at The King’s School West Rand. The
author has presented teacher training and learner seminars for various educational institutions including
Excelearn, Isabelo, Kutlwanong Centre for Maths, Science and Technology, Learning Channel, Oracle and
UJ. Mark is currently a TV presenter for “Matrics Uploaded” on SABC 1. He has previously published
highly successful Mathematics textbooks through Allcopy Publishers and is a qualified assessor. Mark has
travelled extensively in the United Kingdom, Europe and America, gaining invaluable international
educational experience. The textbook contains methods used in top schools all over the world.
JURGENS BASSON
BA (Mathematics and Psychology) HED Randse Afrikaanse Universiteit (UJ)
Jurgens Basson has over twenty years of teaching experience in secondary and tertiary education. He is
the founder of The Maths Centre, a private study centre which offers extra maths and science tuition to
more than 500 students in two different areas in Gauteng. In 2003, he established the RAU/Oracle School
of Maths. Over 2000 previously disadvantaged students have had the opportunity to benefit from this
programme. With the introduction of the new curriculum in 2006, Jurgens saw the need to train and
empower educators to implement the new curriculum. He obtained a sponsorship from Oracle to do
educator development workshops in five of the nine provinces to date. Jurgens is a highly sought after
educational consultant with a passion for Maths and the new curriculum. In 2010, he served on the panel
to finalise the CAPS curriculum for Maths.
CONRAD BOTHA
Maths Hons, PGCE, B.Sc (Mathematics 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.
The purpose of this publication is to cover all Maths topics in the new curriculum (CAPS) using a
user-friendly, modern approach. The examples presented in each chapter of the textbook cover all of the
main concepts in each topic. There is a logical, to-the-point, progression from one example to the next and
the exercises reinforce the concepts inherent in the particular topic dealt with.
At the end of each chapter there is a mixed revision exercise. This exercise is for revising all of the
concepts dealt with in the chapter. There is also a “Some Challenges” exercise which provides invaluable
extension and problem solving for top learners. At the end of the book, short answers to all of the exercises
have been provided.
“This textbook has always been a life-saver for me. I just don’t have the time to waste trying to create my
own lessons using other books and then still trying to get to assess my learners in the way that we are
supposed to. This textbook has helped me to get through the content as quickly and effectively as possible
leaving more time for me to assess my learners. I can also have a life outside of school and not get so
wrapped up with so much work. I like the assessment tasks in the Teacher Guide. I have used them to meet
the requirements in the policy documents.”
Hester Jansen Van Vuuren, Educator
ENDORSEMENT
The
CONCEPT
The
AUTHORS
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MATHEMATICS
TEXTBOOK
GRADE 12 NCAPS
CONTENTS
CHAPTER 1 SEQUENCES AND SERIES
CHAPTER 2 INVERSE FUNCTIONS
CHAPTER 3 FINANCIAL MATHEMATICS
CHAPTER 4 TRIGONOMETRY
CHAPTER 5 ALGEBRA
CHAPTER 6 CALCULUS
CHAPTER 7 ANALYTICAL GEOMETRY
CHAPTER 8 EUCLIDEAN GEOMETRY
CHAPTER 9 STATISTICS
CHAPTER 10 THE COUNTING PRINCIPLE AND PROBABILITY
SOLUTIONS TO EXERCISES
1
38
62
110
147
160
217
233
288
305
328
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