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Book Information

Series:

Mathematics for Year 11 (South Australia)

Title:

Functions, Statistics & Chance (6th edition)

Price:

Australia: AU$54.50 (inc. GST)
Overseas: AU$49.55 (ex. GST)

Authors:

Robert Haese
Sandra Haese
Tom van Dulken
Mark Bruce
Kim Harris
Anthony Thompson
Anthony Harradine
David Martin

Year Published:

2006

ISBN-13:

978-1-876543-64-8

Extent:

424 pages

Availability:

Available now

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Sample chapters for download

4. Statistics

NB: Sample chapters do not have working links.

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About the book

This sixth edition is a thorough revision of our established course in mathematics for Year 11. The main difference is a complete revision of Chapter 4 Statistics and some revision of Chapter 2 Models of Growth.

Other features:

Table of contents

1 QUADRATIC AND OTHER POLYNOMIALS 9
 
A Sketching quadratic functions 14
B Product expansion 17
C Factorisation 19
D Completing the square 23
E Quadratic equations 25
F Problem solving with quadratics 36
G Intersecting graphs 39
H Surds 40
I Complex numbers 47
J Finding quadratic equations 50
K Quadratic graphs (Review) 53
L Determining the quadratic from a graph 58
M Quadratic optimisation 62
N Cubic polynomials 65
O Quartic polynomials 79
P Review 87
     
2 MODELS OF GROWTH 93
 
A Number sequences 96
B Series 111
C Linear functions 115
D Exponential functions 119
E Logarithms 136
F Applications to finance 150
G Modelling from data 162
H Review 179
     
3 FUNCTIONS AND GRAPHS 185
 
A Segmented line graphs 188
B Relations and functions 191
C Function notation 197
D Interpreting slope 203
E Increasing and decreasing functions 206
F Algebraic functions 210
G Unfamiliar functions 216
H Function fitting 219
I Using graphs in problem solving 223
J The modulus function 227
K Review 234
     
4 STATISTICS 239
 
A Sampling from populations 242
B Describing data 246
C Presenting and interpreting data 248
D Grouped discrete data 254
E Continuous (interval) data 256
F Measures of centres of distributions 258
G Measuring the spread of data 265
H Comparing data 275
I Sample statistics and population parameters 287
J Data based investigation 294
K Review 294
L Normal distributions 299
M The standard normal distribution 306
N Technology and normal distributions 311
O Pascal's triangle 313
P Binomial distribution 316
Q The mean and standard deviation of a discrete variable 320
R Mean and standard deviation of a binomial variable 322
S Review 328
     
5 SIMULATING RANDOM PROCESSES 331
 
A Electronic simulations 332
B Problem solving using simulations 334
C Randomising devices 336
D Probability calculations 343
E Queuing 362
F Major project 367
G Review 367
     
  ANSWERS 373
 
     
  INDEX 423

Foreword

This 6th edition is a thorough revision of our established course in mathematics for Year 11 students, written to embrace the concepts outlined in the Stage 1 Mathematics Curriculum Statement.

The main difference in this new edition is the complete revision of Chapter 4 Statistics which we have undertaken in response to comments and suggestions from teachers. There has also been some revision of other chapters, notably Chapter 2 Models of Growth. The book is printed in full colour and is accompanied by a new and improved version of our interactive Student CD.

The CD offers exciting possibilities for students and teachers. It contains links to spreadsheets, graphing and geometry software, graphics calculator instructions, computer demonstrations and simulations. Teachers will be able to demonstrate concepts quickly, clearly and simply, and students have the opportunity to revisit the demonstrations and experiment for themselves.

The book contains many problems from basic to advanced, to cater for a range of student abilities and interests. While some of the exercises are designed simply to build skills, every effort has been made to contextualise problems so that students can see everyday uses and practical applications of the mathematics they are studying.

Emphasis has been placed on the gradual development of concepts with appropriate worked examples. However, we have also provided extension material for those who wish to go beyond Stage 1 and look towards further studies or applications of mathematics for their career choices. It is not our intention that each chapter be worked through in full. Time constraints will not allow for this. Consequently, teachers much select exercises carefully, according to the abilities and prior knowledge of their students, in order to make the most efficient use of time and give as thorough coverage of work as possible.

The extensive use of graphics calculators and computer packages throughout the book enables students to realise the importance, application and appropriate use of technology. No single aspect of technology has been favoured. It is as important that students work with a pen and paper as it is that they use their calculator or graphics calculator, or use a spreadsheet or graphing package on computer. Instructions appropriate to each graphics calculator problem are on the CD. They are written for Texas Instruments and Casio calculators, and can be printed from the CD.

It is not our intention to define the course, but we hope that this book, with the associated use of technology, will enhance the students’ understanding, knowledge and appreciation of mathematics.