Our package is a textbook with an interactive CD. The CD displays the contents of the textbook plus many interactive features such as simulations, computer demonstrations, video clips, graphing packages, spreadsheets etc to stimulate the interest of students and assist their teachers. The book is language rich and technology rich. Some exercises are simply designed to build skills, but every effort has been made to contextualise problems to help students see the everyday uses and practical application of the mathematics they are studying. The book contains many problems, from basic to the advanced, to cater for a wide range of student abilities and interests. Much emphasis has been placed on the gradual development of concepts with appropriate worked examples. It is not our intention that each chapter should be worked through in full. Time constraints will not allow for this. Consequently, teachers must 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. The interactive features of the CD allow immediate access to our own specially designed geometry packages, graphing packages and more. Teachers are provided with a quick and easy method of demonstrating concepts, and students can discover for themselves, and revisit when necessary. Instructions for graphics calculators are on the CD and can be printed for students. In this changing world of mathematics education, we believe the contextual approach shown in this book, with the associated use of technology, will enhance the students' understanding, knowledge and appreciation of mathematics. This book covers the four Topics set out in the SSABSA curriculum statement: Working with Statistics; Algebraic Models from Data - Working from Observation; Calculus - Describing Change; and, Linear Models. The key features include: topics are introduced using a guided discovery learning approach; clear statements of defenitions and rules are provided; fully worked examples are given with step-by-step instructions; carefully graded exercises that encourage development of skills; relevant investigations encouraging students to experiment and discover for themselves are included; integrated computer investigations are given throughout; and, gives emphasis, where appropriate, on the use of technology, including scientific calculators, graphics calculators, spreadsheets and specialised computer packages.

Table of Contents:
TABLE OF CONTENTS 1. STATISTICS AND DISTRIBUTIONS 9 A. Key statistical concepts 11 B. Describing data 14 C. Probability distributions from tree diagrams 28 D. Discrete random variables 36 E. The binomial distribution 44 F. Normal distributions 51 G. Review 68 2. INFERENTIAL STATISTICS 71 A. Sampling distributions 74 B. Confidence intervals for a population mean (m) 84 C. Review 99 3. LINEAR MODELLING, POWER AND EXPONENTIAL FUNCTIONS 101 A. Correlation 104 B. Lines (slopes and equations) review 106 C. Measuring correlation 108 D. Least squares regression 115 E. Exponential and power functions 124 F. Identifying functions from their graphs 133 G. Review 135 4. MODELLING FROM DATA 139 A. Exponential e 140 B. Natural logarithms 142 C. Modelling from data 150 D. Finding models using technology 159 E. Miscellaneous modelling problems 159 F. Extending modelling 165 G. Review 168 5. RATES AND DERIVATIVES 173 A. Rates 174 B. Instantaneous rates of change 181 C. Derivatives 187 D. Differentiation 194 E. Review 206 6. APPLYING CALCULUS TO FURTHER MODELLING 209 A. Describing curve properties 211 B. Investigating new models 215 C. Curve properties from calculus 219 D. Modelling problems 223 E. Surge and terminal velocity models 229 F. Review 234 7. LINEAR PROGRAMMING 239 A. Feasible regions 241 B. Additional constraints 242 C. Regions ax+byc 243 D. Constructing constraints 247 E. Linear programming 248 F. Dealing with non-integer vertices 254 G. Linear programming with more than two variables 255 H. Review 260 8. MATRICES 263 A. Matrix structure 264 B. Addition and subtraction of matrices 267 C. Matrix multiplication 272 D. Powers of matrices 281 E. Networks and matrix representation 283 F. Dominance matrices 290 G. Transition matrices 294 H. Leslie matrices 302 I. Matrices and information security 309 J. Review 313