Mathematics: Core Topics SL-Textbook (Paperback)

Mathematics: Core Topics SL

1 STRAIGHT LINES 19
A The equation of a line 20
B Graphing a straight line 26
C Perpendicular bisectors 28
D Simultaneous equations 30
E Problem solving with simultaneous equations 34
Review set 1A 36
Review set 1B 37

2 SETS AND VENN DIAGRAMS 39
A Sets 40
B Intersection and union 42
C Complement of a set 44
D Special number sets 45
E Interval notation 47
F Venn diagrams 51
G Venn diagram regions 54
H Problem solving with Venn diagrams 56
Review set 2A 59
Review set 2B 61

3 SURDS AND EXPONENTS 63
A Surds and other radicals 64
B Division by surds 68
C Exponents 70
D Laws of exponents 71
E Scientific notation 77
Review set 3A 80
Review set 3B 81

4 EQUATIONS 83
A Equations of the form x2 = k 84
B Power equations 85
C Equations in factored form 87
D Quadratic equations 88
E Solving polynomial equations using technology 95
F Solving other equations using technology 97
Review set 4A 98
Review set 4B 99

5 SEQUENCES AND SERIES 101
A Number sequences 102
B Arithmetic sequences 105
C Geometric sequences 110
D Growth and decay 113
E Financial mathematics 115
F Series 124
G Arithmetic series 127
H Finite geometric series 132
I Infinite geometric series 136
Review set 5A 139
Review set 5B 142

6 MEASUREMENT 145
A Circles, arcs, and sectors 146
B Surface area 149
C Volume 154
D Capacity 164
Review set 6A 167
Review set 6B 169

7 RIGHT ANGLED TRIANGLE TRIGONOMETRY 171
A The trigonometric ratios 173
B Finding side lengths 176
C Finding angles 178
D Right angles in geometric figures 180
E Problem solving with trigonometry 185
F True bearings 190
G The angle between a line and a plane 193
Review set 7A 196
Review set 7B 198

8 NON-RIGHT ANGLED TRIANGLE TRIGONOMETRY 201
A The unit circle 202
B The area of a triangle 204
C The cosine rule 208
D The sine rule 212
E Problem solving with trigonometry 215
F The ambiguous case of the sine rule 219
Review set 8A 222
Review set 8B 224

9 POINTS IN SPACE 227
A Points in space 228
B Measurement 230
C Trigonometry 232
Review set 9A 235
Review set 9B 237

10 PROBABILITY 239
A Experimental probability 241
B Two-way tables 245
C Sample space and events 247
D Theoretical probability 250
E The addition law of probability 258
F Independent events 260
G Dependent events 264
H Conditional probability 268
I Formal definition of independence 272
J Making predictions using probability 273
Review set 10A 277
Review set 10B 279

11 SAMPLING AND DATA 281
A Errors in sampling 282
B Sampling methods 285
C Types of data 291
D Simple discrete data 293
E Grouped discrete data 296
F Continuous data 297
Review set 11A 301
Review set 11B 302

12 STATISTICS 305
A Measuring the centre of data 306
B Choosing the appropriate measure 311
C Using frequency tables 313
D Grouped data 316
E Measuring the spread of data 319
F Box and whisker diagrams 323
G Outliers 326
H Parallel box and whisker diagrams 329
I Cumulative frequency graphs 332
J Variance and standard deviation 336
Review set 12A 344
Review set 12B 347

ANSWERS 351

INDEX 387

Michael Haese, Mark Humphries, Chris Sangwin, Ngoc Vo ? Haese Mathematics