FM: indicates sections (up to level 6) that address functional mathematics
ISBN 978-0-521-68993-9 with answers; 978-0-521-69431-5 without answers
Book F1 contents Order from +44 (0)1223 325588 1 Reflection and rotation symmetry 10 6 Angles, triangles and quadrilaterals 42 A Reflection symmetry level 4 10 A Review: angles round a point, on a line, in a triangle 42 B Rotation symmetry 11 B Angles in an isosceles triangle 45 C Both types of symmetry 12 C Properties of special quadrilaterals 47 D Special triangles and quadrilaterals 13 7 Experiments 49 E Symmetrical and regular polygons 14 A Specifying the problem and planning 49 FM F Using coordinates 16 B Processing and representing 50 FM 2 Fractions 18 C Interpreting and discussing 52 FM A Fraction of a number 18 8 Multiples, factors and primes 53 B Equivalent fractions 18 A Multiples level 4 53 C Simplifying a fraction 19 B Factors level 4 54 D Mixed numbers 20 C Multiples and factors level 4 55 E Writing one number as a fraction of another 21 D Common multiples and factors 56 F Adding and subtracting fractions 22 E Prime numbers 58 G Multiplying a fraction by a whole number 23 F Products of prime factors 59 3 Reading scales 25 Review 1 61 A Whole numbers level 4 25 B Decimals level 4 26 9 Working with formulas 1 63 A Review: expressions 63 4 Arrow diagrams and equations 29 B Arranging tables and chairs 64 A Mathematical whispers level 4 29 C Designing pendants 67 B Using letters 31 C Solving equations 32 D Equations and arrow diagrams 70 D Number puzzles 34 10 Representing 3-D objects 73 5 Decimals 36 A The Soma cube 73 A One and two decimal places level 4 36
(idea of volume, drawing on triangular dotty paper)
B More than two decimal places 37 B Plan and elevations 74 FM C Rounding to the nearest whole number 38 D Rounding to one decimal place 39 D Prisms 78 E Rounding to more than one decimal place 40 E Reflection symmetry 79 F Multiplying and dividing by powers of ten 41 11 Written calculation 1 82 17 Working with expressions 1 119 A Adding and subtracting whole numbers and A Simplifying expressions such as 4 + 2n – 3 + n 119
decimals level 4 82 B Substituting into expressions such as 7 – 2n 121 B Multiplying whole numbers level 4 83 C Simplifying expressions such as 4 + 2n – 3 – 5n 122 C Multiplying decimals 84 Review 2 124 D Dividing whole numbers level 4 85 E Dividing decimals 86 18 Graphs of changes over time 126 F Mixed questions 87 A Noise level 126 FM 12 Frequency B Pulse rate 128 FM C Temperature 129 FM A Stem-and-leaf tables 89 FM B Median and range 91 FM 19 Chance 132 C Comparisons 92 FM A Probability as a fraction 132 D Grouping 94 FM B Listing outcomes 134 E Mean 97 FM C Using a grid 136 13 Fractions, decimals and percentages 100 20 Area of a triangle and of composite shapes A Fractions and percentages 100 B Decimals and percentages 101 A Area of a triangle 140 C Fractions and decimals 102 B Area of composite shapes 142 D Thirds 102 21 Working with percentages 145 E Converting between fractions, decimals and A Review: fractions, decimals and percentages 145
percentages 103 14 Area of a parallelogram 105 B Finding a percentage of an amount (mentally) 146 A Changing a parallelogram into a rectangle 105 C Finding a percentage of an amount (with a
calculator) 148 B Using the formula 106 D Expressing one number as a percentage of another 15 Negative numbers 109 A Temperature changes 109 FM E Expressing one number as a percentage of another B Adding negative numbers
(with a calculator) 150 C Subtracting a negative number F Mixed questions 151 FM D Multiplying a negative by a positive number 112 22 Representing data 153 16 Metric units 114 A Two-way tables 153 FM A Using metric units B Two-way tables with grouped data 155 FM B Converting between metric units C Pictograms and bar charts 156 FM D Dual bar charts 158 FM E Line graphs for time series 159 FM F Index numbers 161 FM 23 Ratio and proportion 164 29 Navigation 212 A Recipes 164 FM A Four-figure grid references and points of the
compass 212 FM B Comparing prices 166 FM B Scales and points of the compass 214 FM
(where one item is a multiple of the other)
C Review: angles level 4 216 FM C Unitary method 167 FM D Bearings 218 FM D Unit cost 168 FM 30 Rounding with significant figures 221 E Mixtures and ratio 170 FM A Rounding a whole number to one significant figure F Writing a ratio in its simplest form 173 FM 24 Cuboids 175 B Rounding a decimal to one significant figure 222 A Volume of a cuboid 175 C Multiplying decimals 223 B Cubic metres 179 FM D Rough estimates with decimals 225 C Surface area 180 FM E Rounding answers 226 D Volume of a solid made from cuboids 181 31 Solving equations 228 Review 3 184 A Balance puzzles 228 B Seeing a balance puzzle as an equation 230 25 Scatter diagrams and correlation 186 C Solving an equation using balancing 231 A Scatter diagrams 186 FM D Finding unknown lengths on strips 232 B Correlation 189 FM E Undoing a subtraction in an equation 233 C Line of best fit 191 F Decimal, negative and fractional solutions 234 26 Square and cube numbers 195 G Problem solving 234 A Squares and square roots 195 32 Written calculation 2 236 B Cubes and cube roots 197 A Multiplying by a two-digit number 236 C Squares, cubes and higher powers 198 B Dividing by a two-digit number 237 27 Surveys 200 C Mixed questions 238 FM A Starting a project 200 Review 4 240 B Designing a questionnaire 201 C Choosing a sample 203 33 Sequences 242 D Summarising results 204 A Continuing a sequence 242 E Writing a report 205 B Describing numbers in some sequences 244 C Sequences from patterns 245 28 Imperial measures 206 A Length 206 FM 34 Problem solving with a calculator 248 B Weight 208 FM A Which calculation? 248 FM C Liquid measure 209 FM B Showing working 250 FM D Mixed questions 210 FM C Changing money to a different currency 251 FM 35 Working with expressions 2 253 40 Multiplying and dividing fractions 287 A Substituting into expressions such as 2a – b 253 A Finding a fraction of a quantity: fractional results 1 B Simplifying expressions such as 3a + 2b + a + 5b B Finding a fraction of a quantity: fractional results 2 C Simplifying expressions such as 3a + 2b + a – 5b C Dividing a unit fraction by a whole number 289 D Dividing a fraction by a whole number 290 36 Calculating with negative numbers 256 E Multiplying fractions 291 A Adding and subtracting 256 B Multiplying 257 41 Working with formulas 2 293 C Dividing 259 A Formulas and graphs 293 FM D Negative square roots and cube roots 261 B Forming and using formulas 296 FM E Mixed questions 262 C Forming and using expressions and formulas 37 Brackets 264 Review 5 302 A Dividing an expression by a number 264 B Expressions with brackets 265 42 Travel 304 C Factorising an expression 266 A Calculating speed 304 FM D Factorising more complex expressions 267 B Distance–time graphs 306 FM E Adding an expression containing brackets 268 C Calculating distance and time 309 FM F Subtracting an expression containing brackets 268 43 Graphs from rules 312 38 Pie charts 270 A Patterns in coordinates 312 A Review: fractions, percentages and angles 270 FM B Drawing a straight-line graph 313 B Reading a pie chart: simple fractions and C Including negative coordinates 315
percentages 271 FM D Equations of horizontal and vertical lines 316 C Reading a pie chart: the unitary method 272 FM E Implicit equations 317 D Drawing a pie chart: angles 274 FM E Drawing a pie chart: percentages 44 Working with coordinates 320 F Handling real data A Shapes on a grid 320 B Mid-points 322 39 Working with expressions 3 280 C Reflection 323 A Substituting into linear expressions 280 D Rotation 324 B Squares and cubes 281 C Using more than one letter 45 Trial and improvement 328 D Area and simplifying A Searching for whole numbers 328 B Searching for decimals 329 C Searching for approximate values 330 46 Constructions 332 A Drawing a triangle using lengths 332 B Drawing a triangle using angles 334 C Drawing a triangle using two sides and
an angle 335 D Scale drawings 336 Review 6 337 Answers 338 Index 397

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Court gives a legal voice to the poor and powerless DENNIS DAVIS: COMMENT - Jan 22 2010 16:29 A series of talks designed to promote a public debate about the progress of constitutional democracy in South Africa and the key challenges for the future were held recently at UCT’s Summer School. Judge Dennis Davis and advocate Gilbert Marcus were the first to deliver their speeches Those entrust