Maths Quest HSC Mathematics General 2 4E & eBookPLUS

Maths Quest HSC Mathematics General 2 4E & eBookPLUS
Title information
Author/s
Rowland
ISBN13 9781118606599
Pub date September 2013
Pages 448
RRP $84.95
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Maths Quest HSC Mathematics General 2 is written for the new General Mathematics Stage 6 curriculum. This text provides comprehensive coverage of the five syllabus areas: Financial mathematics, Data and Statistics, Measurement, Probability and Algebraic modelling.

KEY FEATURES

• Two new Focus Studies – ‘Mathematics and Health’ & ‘Mathematics and Resources’.
• Further development questions in every exercise
• Full colour with stimulating photographs and graphics
• Carefully graded exercises with many skill and application problems, including multiple-choice questions
• Easy to follow Worked examples in the Think-Write format
• Cross references throughout exercises to relevant Worked Examples
• Comprehensive chapter reviews with practice examination questions
• A glossary of mathematical terms that define the terminology introduced in each unit
• Investigations, spreadsheet applications and more

Maths Quest HSC Mathematics General 2 4E & eBookPLUS
is hard copy version of the textbook accompanied by eBookPLUS. eBookPLUS includes a complementary set of targeted digital resources. These flexible and engaging ICT activities are available to you online at the JacarandaPLUS website (http://www.jacplus.com.au/).



> eBookPLUS resources include:

• Access from any digital device: PC/MAC/iPad/Android Tablet.
Worksheets - Word documents designed for easy customisation and editing.
Interactivities and games to reinforce and enhance student learning.
eLessons - engaging video clips and supporting material.
Weblinks to relevant support material on the internet.
ProjectsPLUS - unique ICT-based projects that provide opportunities for students to demonstrate creativity, thinking skills and teamwork.
eBookPLUS resources are cost effective, ranging in price from $25.95 - $53.95 depending on your subject area.

Introduction vi
About eBookPLUS viii
Acknowledgements ix

CHAPTER 1 Credit and borrowing 1
1A Credit cards 1
Exercise 1A 5
1B Flat rate interest 7
Exercise 1B 9
1C Loan repayments 11
Exercise 1C 14
1D Present value and future
value 16
Exercise 1D 18
Summary 20
Chapter review 21
ICT activities 24
Answers 25

CHAPTER 2 Annuities and loan repayments 27
2A Future value of an annuity 27
Exercise 2A 31
2B Present value of an annuity 32
Exercise 2B 35
2C Loan repayments 36
Exercise 2C 38
2D Loan repayment graphs 40
Exercise 2D 40
Summary 43
Chapter review 44
ICT activities 46
Answers 47

CHAPTER 3 Interpreting sets of data 49
3A Grouped data 49
Exercise 3A 52
3B Measures of location and spread 54
Exercise 3B 57
3C Analysis of data sets 59
Exercise 3C 65
3D Comparison of data sets 69
Exercise 3D 72
3E Skewness 76
Exercise 3E 77
Summary 81
Chapter review 82
ICT activities 88
Answers 89

CHAPTER 4 The normal distribution 95
4A z -scores 95
Exercise 4A 98
4B Comparison of scores 100
Exercise 4B 101
4C Distribution of scores 103
Exercise 4C 105
Summary 108
Chapter review 109
ICT activities 113
Answers 114

CHAPTER 5 Sampling and populations 115
5A Sampling 115
Exercise 5A 116
5B Samples and means 118
Exercise 5B 118
5C Estimating populations 120
Exercise 5C 121
Summary 123
Chapter review 124
ICT activities 126
Answers 127

CHAPTER 6 Further applications of area and volume 129
6A Relative error 129
Exercise 6A 131
6B Area of parts of the circle 133
Exercise 6B 134
6C Area of composite shapes 136
Exercise 6C 138
6D Simpson’s rule 141
Exercise 6D 143
6E Surface area of some prisms 146
Exercise 6E 147
6F Surface area of cylinders and spheres 149
Exercise 6F 151
6G Volume of pyramids, cones and spheres 153
Exercise 6G 155
6H Volume of composite solids 157
Exercise 6H 159
6I Error in measurement 163
Exercise 6I 164
Summary 167
Chapter review 168
ICT activities 173
Answers 174

CHAPTER 7 Applications of trigonometry 177
7A Review of right-angled triangles 177
Exercise 7A 182
7B Using the sine rule to find side lengths 183
Exercise 7B 187
7C Using the sine rule to find angles 189
Exercise 7C 191
7D Using the cosine rule to find side lengths 193
Exercise 7D 196
7E Using the cosine rule to find angles 197
Exercise 7E 200
7F Area of a triangle 202
Exercise 7F 204
7G Bearings 206
Exercise 7G 210
7H Radial surveys 213
Exercise 7H 216
Summary 219
Chapter review 221
ICT activities 225
Answers 226

CHAPTER 8 Spherical geometry 229
8A Arc lengths 229
Exercise 8A 230
8B Great circles and small circles 233
Exercise 8B 234
8C Latitude and longitude 237
Exercise 8C 239
8D Distances on the Earth’s surface 240
Exercise 8D 242
8E Time zones 243
Exercise 8E 245
Summary 248
Chapter review 249
ICT activities 253
Answers 254

CHAPTER 9 Multi-stage events and applications of probability 257
9A Counting techniques 257
Exercise 9A 260
9B Tree diagrams 261
Exercise 9B 263
9C Probability and counting techniques 265
Exercise 9C 266
9D Expected outcomes 268
Exercise 9D 269
Summary 272
Chapter review 273
ICT activities 276
Answers 277

CHAPTER 10 Further algebraic skills and techniques 279
10A Addition and subtraction of algebraic expressions 279
Exercise 10A 280
10B The index laws 281
Exercise 10B 283
10C Expanding and simplifying 285
Exercise 10C 285
10D Solving equations 286
Exercise 10D 287
10E Equations and formulas 290
Exercise 10E 291
Summary 294
Chapter review 295
ICT activities 297
Answers 298

CHAPTER 11 Modelling linear relationships 301
11A Linear functions 301
Exercise 11A 305
11B Direct variation 307
Exercise 11B 308
11C Linear modelling 310
Exercise 11C 311
11D Problem solving 313
Exercise 11D 314
11E Simultaneous equations 315
Exercise 11E 318
Summary 321
Chapter review 322
ICT activities 324
Answers 325

CHAPTER 12 Modelling non-linear relationships 329
12A Quadratic functions 329
Exercise 12A 332
12B Cubics, hyperbolas and exponential
functions 334
Exercise 12B 336
12C Direct variation 337
Exercise 12C 340
12D Inverse variation 341
Exercise 12D 343
12E Graphing physical phenomena 345
Exercise 12E 347
Summary 350
Chapter review 351
ICT activities 354
Answers 355


CHAPTER 13 Mathematics and health 361
Body measurements 361
13A Drawing scatterplots 361
Exercise 13A 366
13B Correlation 370
Exercise 13B 374
13C Fitting a regression line 377
Exercise 13C 379
Medication 382
13D Units of measurement 382
Exercise 13D 383
13E Dosage rate 384
Exercise 13E 385
Life expectancy 386
13F Life expectancy 386
Exercise 13F 387
Summary 391
Chapter review 393
ICT activities 396
Answers 397
ICT activities — Projectsplus
pro-0152 Life expectancy 402

CHAPTER 14 Mathematics and resources 405
14A Interpreting information about water usage 405
Exercise 14A 409
14B Collecting and using water 412
Exercise 14B 414
14C Dams, land and catchment areas 415
Exercise 14C 417
14D Energy and sustainability 421
Exercise 14D 423
Summary 426
Chapter review 427
ICT activities 430
Answers 431
ICT ACTIVITIES — PROJECTSPLUS
pro-0152 Water catchment 432

Glossary 435

Index 437

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Maths Quest HSC Mathematics General 2 4E eBookPLUS (Online Purchase)

Author: Rowland, Published: 07/10/2013, RRP: $54.95
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