Overview

Full Product Details

Author:   Catherine Smith ,  Beverly Langsford Willing ,  Mark Barnes (St Peter's College) ,  Christine Utber
Publisher:   John Wiley & Sons Australia Ltd
Imprint:   Jacaranda Wiley, Australia
Dimensions:   Width: 2.20cm , Height: 0.40cm , Length: 2.80cm
Weight:   2.381kg
ISBN:  

9781394193998

ISBN 10:   1394193998
Pages:   1216
Publication Date:   27 September 2023
Recommended Age:   From 15 to 16 years
Audience:   Primary & secondary/elementary & high school ,  Secondary
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

About this resource vii Acknowledgements xiv 1 Indices, surds and logarithms 1 1.1 Overview 2 1.2 Number classification review 4 1.3 Surds (Optional) 10 1.4 Operations with surds (Optional) 14 1.5 Review of index laws 28 1.6 Negative indices 36 1.7 Fractional indices (Optional) 42 1.8 Combining index laws 48 1.9 Logarithms 54 1.10 Logarithm laws (Optional) 62 1.11 Solving equations (Optional) 69 1.12 Review 75 Answers 86 2 Algebra and equations 95 2.1 Overview 96 2.2 Substitution 98 2.3 Adding and subtracting algebraic fractions 105 2.4 Multiplying and dividing algebraic fractions 111 2.5 Solving simple equations 116 2.6 Solving multi-step equations 123 2.7 Literal equations 130 2.8 Review 136 Answers 141 3 Networks 147 3.1 Overview 148 3.2 Properties of networks 153 3.3 Planar graphs 166 3.4 Connected graphs 174 3.5 Trees and their applications (Extending) 185 3.6 Review 194 Answers 202 4 Linear relationships 209 4.1 Overview 210 4.2 Sketching linear graphs 214 4.3 Determining linear equations 225 4.4 Graphical solution of simultaneous linear equations 240 4.5 Solving simultaneous linear equations using substitution 249 4.6 Solving simultaneous linear equations using elimination 254 4.7 Applications of simultaneous linear equations 260 4.8 Solving simultaneous linear and non-linear equations 268 4.9 Solving linear inequalities 278 4.10 Inequalities on the Cartesian plane 287 4.11 Solving simultaneous linear inequalities 296 4.12 Review 303 Answers 312 5 Trigonometry I 331 5.1 Overview 332 5.2 Pythagoras’ theorem 335 5.3 Pythagoras’ theorem in three dimensions (Optional) 344 5.4 Trigonometric ratios 350 5.5 Using trigonometry to calculate side lengths 357 5.6 Using trigonometry to calculate angle size 363 5.7 Angles of elevation and depression 370 5.8 Bearings 375 5.9 Applications 382 5.10 Review 390 Answers 398 6 Surface area and volume 403 6.1 Overview 404 6.2 Area 408 6.3 Total surface area 418 6.4 Volume 429 6.5 Review 443 Answers 451 7 Quadratic expressions 455 7.1 Overview 456 7.2 Expanding algebraic expressions 458 7.3 Factorising expressions with three terms 466 7.4 Factorising expressions with two or four terms 472 7.5 Factorising by completing the square 477 7.6 Mixed factorisation 483 7.7 Review 487 Answers 493 8 Quadratic equations and graphs 499 8.1 Overview 500 8.2 Solving quadratic equations algebraically 502 8.3 The quadratic formula 511 8.4 Solving quadratic equations graphically 517 8.5 The discriminant 526 8.6 Plotting parabolas from a table of values 533 8.7 Sketching parabolas using transformations 542 8.8 Sketching parabolas using turning point form 552 8.9 Sketching parabolas in expanded form 561 8.10 Review 569 Answers 580 Semester review 1 598 9 Functions, relations and modelling 601 9.1 Overview 602 9.2 Functions and relations 607 9.3 Exponential functions 620 9.4 Exponential graphs 630 9.5 Application of exponentials: Compound interest 640 9.6 Cubic functions 648 9.7 Quartic functions 656 9.8 Sketching the circle 661 9.9 Transformations 667 9.10 Mathematical modelling 674 9.11 Review 679 Answers 688 10 Deductive geometry 705 10.1 Overview 706 10.2 Angles, triangles and congruence 709 10.3 Scale factor and similar triangles 722 10.4 Calculating measurements from scale drawings 731 10.5 Creating scale drawings 742 10.6 Quadrilaterals 751 10.7 Polygons 764 10.8 Review 771 Answers 780 11 Probability 785 11.1 Overview 786 11.2 Review of probability 789 11.3 Tree diagrams 806 11.4 Independent and dependent events 814 11.5 Conditional probability 820 11.6 Counting principles and factorial notation (Optional) 826 11.7 Review 842 Answers 849 12 Univariate data 859 12.1 Overview 860 12.2 Measures of central tendency 865 12.3 Measures of spread 879 12.4 Box plots 886 12.5 The standard deviation (Optional) 897 12.6 Comparing data sets 910 12.7 Populations and samples 918 12.8 Evaluating inquiry methods and statistical reports 926 12.9 Review 940 Answers 952 13 Bivariate data 963 13.1 Overview 964 13.2 Bivariate data 968 13.3 Two-way frequency tables and Likert scales 980 13.4 Lines of best fit by eye 991 13.5 Linear regression and technology (Optional) 1003 13.6 Time series 1011 13.7 Review 1019 Answers 1028 14 Circle geometry (Optional) 1039 14.1 Overview 1040 14.2 Angles in a circle 1044 14.3 Intersecting chords, secants and tangents 1052 14.4 Cyclic quadrilaterals 1060 14.5 Tangents, secants and chords 1065 14.6 Review 1072 Answers 1079 15 Trigonometry II (Optional) 1083 15.1 Overview 1084 15.2 The sine rule 1087 15.3 The cosine rule 1097 15.4 Area of triangles 1103 15.5 The unit circle 1109 15.6 Trigonometric functions 1116 15.7 Solving trigonometric equations 1124 15.8 Review 1130 Answers 1138 Semester review 2 1146 16 Algorithmic thinking 16.1 Overview 16.2 Programs 16.3 Data structures 16.4 Algorithms 16.5 Matrices 16.6 Graphics 16.7 Simulations 16.8 Review Answers Algorithms and pseudocode (Optional) 1148 Glossary 1171 Index 1183

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions