Page 2 - 新思维数学活动用书7 样章

Contents

How to use this book 3 4.5 Making decimal calculations easier 60

Acknowledgements 4
5 Angles and constructions 64
1 Integers 5
5.1 A sum of 360° 64
1.1 Adding and subtracting integers 5
5.2 Intersecting lines 66
1.2 Multiplying and dividing integers 7
5.3 Drawing lines and quadrilaterals 68
1.3 Lowest common multiples 10
1.4 Highest common factors 12 6 Collecting data 71

1.5 Tests for divisibility 14 6.1 Conducting an investigation 71

1.6 Square roots and cube roots 15 6.2 Taking a sample 74

2 Expressions, formulae 7 Fractions 78

and equations 18 7.1 Ordering fractions 78

2.1 Constructing expressions 18 7.2 Adding mixed numbers 81
2.2 Using expressions and formulae 22 7.3 Multiplying fractions 86

2.3 Collecting like terms 26 7.4 Dividing fractions 91

2.4 Expanding brackets 30 7.5 Making fraction calculations easier 95
2.5 Constructing and solving equations 33
8 Shapes and symmetry 100
2.6 Inequalities 37
8.1 Identifying the symmetry of 2D
3 Place value and shapes 100

rounding 41 8.2 Circles and polygons 105

3.1 Multiplying and dividing by powers 8.3 Recognising congruent shapes 109
of 10 41 8.4 3D shapes 113

3.2 Rounding 45
9 Sequences and functions 119
4 Decimals 49 9.1 Generating sequences (1) 119

4.1 Ordering decimals 49 9.2 Generating sequences (2) 122
4.2 Adding and subtracting decimals 52 9.3 Using the nth term 127

4.3 Multiplying decimals 55 9.4 Representing simple functions 132
4.4 Dividing decimals 57

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