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MODULE 2

1 Scatter graphs

1.1 Scatter graphs and relationships 1.2 Lines of best fit and correlation 1.3 Using lines of best fit Chapter summary Chapter review questions

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1 5 6 10 10

4 Processing, representing and interpreting data

4.1 Frequency polygons 4.2 Cumulative frequency 4.3 Box plots 4.4 Comparing distributions 4.5 Frequency density and histograms Chapter summary Chapter review questions

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51 56 64 65 68 73 73

2 Collecting and recording data 14

2.1 Introduction to statistics 2.2 Data by observation and by experiment 2.3 Grouping data 2.4 Questionnaires 2.5 Sampling 2.6 Databases Chapter summary Chapter review questions 14 14 16 18 20 23 27 28

5 Probability

5.1 5.2 5.3 Writing probabilities as numbers Sample space diagrams Mutually exclusive outcomes and the probability that the outcome of an event will not happen 5.4 Estimating probability from relative frequency 5.5 Independent events 5.6 Probability tree diagrams 5.7 Conditional probability Chapter summary Chapter review questions

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77 79

81 84 86 88 89 92 93

3 Averages and range

3.1 Mean, mode and median 3.2 Using frequency tables to find averages 3.3 Range and interquartile range 3.4 Stem and leaf diagrams 3.5 Estimating the mean of grouped data 3.6 Moving averages Chapter summary Chapter review questions

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31 34 36 38 41 44 47 47

MODULE 3

6 Number

6.1 6.2 Properties of whole numbers Multiplication and division of directed numbers M4 6.3 Squares, cubes 6.4 Index laws 6.5 Order of operations 6.6 Using a calculator 6.7 Prime factors, HCF and LCM Chapter summary Chapter review questions

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97 98 100 101 102 104 106 110 110

Chapter summary Chapter review questions

124 124

8 Expressions and sequences

8.1 8.2 Expressions and collecting like terms Working with numbers and letters and using index notation M4 8.3 Index laws M4 8.4 Sequences Chapter summary Chapter review questions

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127 129 131 134 138 139

7 Angles (1)

7.1 7.2 7.3 7.4 7.5 Triangles Equilateral triangles and isosceles triangles Corresponding angles and alternate angles Proofs Bearings

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113 114 116 119 120

9 Measure (1)

9.1 9.2 Compound measures – speed and density Converting between metric and imperial units Chapter summary Chapter review questions

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141 144 145 145

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10 Decimals and fractions

10.1 10.2 10.3 10.4 Fractions revision Arithmetic of decimals Manipulation of decimals Conversion between decimals and fractions M4 10.5 Converting recurring decimals to fractions 10.6 Rounding to significant figures Chapter summary Chapter review questions

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147 149 151 154 157 159 161 161

14 Estimating and accuracy

14.1 Significant figures 14.2 Accuracy of measurements Chapter summary Chapter review questions

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192 194 196 196

15 Three-dimensional shapes (1) 197

15.1 Volume of three-dimensional shapes 15.2 Surface area of three-dimensional shapes 15.3 Coordinates in three dimensions Chapter summary Chapter review questions 197 202 204 205 206

11 Expanding brackets and factorising

11.1 11.2 11.3 11.4 11.5 Expanding brackets Factorising by taking out common factors Expanding the product of two brackets Factorising by grouping Factorising expressions of the form

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164 165 167 168 170 171 174 174

16 Indices and standard form

16.1 Zero and negative powers 16.2 Standard form M4 16.3 Fractional indices Chapter summary Chapter review questions M4

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207 208 215 217 217

x2

bx

c

11.6 Factorising the difference of two squares Chapter summary Chapter review questions

12 Two-dimensional shapes (1) 176

12.1 Special quadrilaterals 12.2 Perimeter and area of rectangles 12.3 Area of a parallelogram 12.4 Area of a triangle 12.5 Area of a trapezium 12.6 Problems involving areas Chapter summary Chapter review questions 176 177 178 178 179 181 184 184

17 Further factorising, simplifying and algebraic proof

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220 222 225 228 230 230

17.1 Further factorising 17.2...