Page 2 - 新思维数学活动用书9 样章

Contents

How to use this book 3 5 Angles 64

Acknowledgements 4 5.1 Calculating angles 64

1 Number and calculation 5 5.2 Interior angles of polygons 66

1.1 Irrational numbers 5 5.3 Exterior angles of polygons 69
1.2 Standard form 7 5.4 Constructions 70

1.3 Indices 9 5.5 Pythagoras’ theorem 72

6 Statistical investigations 75
2 Expressions and formulae 11
2.1 Substituting into expressions 11 6.1 Data collection and sampling 75
2.2 Constructing expressions 15 6.2 Bias 76

2.3 Expressions and indices 21
7 Shapes and measurements 79
2.4 Expanding the product of
two linear expressions 24 7.1 Circumference and area of a circle 79
7.2 Areas of compound shapes 84
2.5 Simplifying algebraic fractions 27
7.3 Large and small units 90
2.6 Deriving and using formulae 31

3 Decimals, percentages 8 Fractions 95
and rounding 35 8.1 Fractions and recurring decimals 95

3.1 Multiplying and dividing by powers 8.2 Fractions and the correct order

of 10 35 of operations 99
3.2 Multiplying and dividing decimals 39 8.3 Multiplying fractions 101

3.3 Understanding compound 8.4 Dividing fractions 105
percentages 43 8.5 Making calculations easier 109

3.4 Understanding upper and lower
bounds 48 9 Sequences and functions 112
9.1 Generating sequences 112

4 Equations and inequalities 53 9.2 Using the nth term 116
4.1 Constructing and solving equations 53 9.3 Representing functions 120
4.2 Simultaneous equations 57

4.3 Inequalities 61

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