| Introduction |
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1 | (6) |
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1 | (2) |
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Conventions Used in This Book |
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3 | (1) |
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3 | (1) |
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3 | (1) |
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How This Book Is Organised |
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4 | (2) |
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Part I Whole Numbers: The Building Blocks of Maths |
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4 | (1) |
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Part II Parts of the Whole |
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4 | (1) |
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Part III Sizing Up Weights, Shapes and Measures |
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5 | (1) |
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Part IV Statistically Speaking |
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5 | (1) |
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6 | (1) |
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6 | (1) |
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6 | (1) |
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Part I Whole Numbers: The Building Blocks of Maths |
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7 | (82) |
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Chapter 1 Getting Started |
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9 | (14) |
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You're Already Good at Maths |
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10 | (1) |
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Your First Homework Assignment |
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11 | (1) |
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12 | (1) |
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Whole Numbers: Party Time! |
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12 | (1) |
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Parts of the Whole: Fractions, Decimals, Percentages and More |
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13 | (3) |
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Mmmm, pizza! Everyday fractions |
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14 | (1) |
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Percentages are easier than you think: Introducing the Table of Joy |
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14 | (2) |
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Sizing Up Time, Weights, Measures and Shapes |
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16 | (2) |
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Weights and measures you already know |
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17 | (1) |
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Getting yourself into shape |
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18 | (1) |
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18 | (1) |
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Why bother with charts and tables? |
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18 | (1) |
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The man in the middle: Describing data |
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19 | (1) |
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19 | (1) |
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19 | (4) |
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Chapter 2 Setting Yourself Up for Success |
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23 | (12) |
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Getting Properly Equipped |
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24 | (3) |
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24 | (1) |
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25 | (1) |
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Discovering where you work best |
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26 | (1) |
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Making your workspace better for studying |
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26 | (1) |
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27 | (1) |
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Remembering why you're studying |
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27 | (1) |
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Using the `calendar of crosses' |
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27 | (1) |
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28 | (1) |
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Getting Your Head On Straight |
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28 | (3) |
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29 | (1) |
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Getting a breath of fresh air |
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29 | (1) |
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Talking to yourself-not as crazy as it sounds |
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30 | (1) |
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Learning from your mistakes |
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30 | (1) |
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31 | (1) |
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Deciding on a notebook or a computer |
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31 | (1) |
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Recording the language of maths |
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32 | (1) |
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32 | (3) |
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Chapter 3 It All Adds Up: Addition and Subtraction |
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35 | (18) |
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Nailing Down the Number Line |
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36 | (5) |
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Adding and taking away with the number line |
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37 | (3) |
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Adding and subtracting with two rulers |
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40 | (1) |
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Understanding Odd and Even Numbers |
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41 | (1) |
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Remembering Some Simple Sums |
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42 | (4) |
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43 | (2) |
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Increasing your success with flash cards |
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45 | (1) |
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What to do when you forget |
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46 | (1) |
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Super-Size Me: Working with Bigger Numbers |
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46 | (5) |
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Adding and taking away bigger numbers |
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47 | (1) |
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Following recipes for adding and subtracting |
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48 | (3) |
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Going Backwards with Negative Numbers |
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51 | (2) |
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Chapter 4 Equal Piles: Multiplying and Dividing |
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53 | (22) |
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Meeting the Basics of Multiplication and Division |
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54 | (1) |
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Remembering Your Times Tables |
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54 | (7) |
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Practising your times tables |
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57 | (1) |
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Working around mind blanks |
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57 | (3) |
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60 | (1) |
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Multiplying Bigger Numbers |
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61 | (5) |
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Multiplying a big number by a small number |
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61 | (3) |
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Multiplying two big numbers |
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64 | (2) |
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One for You, One for Me: Handling Division |
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66 | (4) |
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66 | (1) |
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Taking one step at a time |
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67 | (1) |
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Dealing with the left overs: Remainders |
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68 | (1) |
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Working with bigger numbers |
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69 | (1) |
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70 | (5) |
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Wait, those aren't numbers! Looking out for letters |
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71 | (1) |
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71 | (1) |
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Doing the sums in the right order |
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71 | (2) |
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73 | (2) |
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Chapter 5 Are We Nearly There Yet? Rounding and Estimating |
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75 | (14) |
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76 | (3) |
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76 | (1) |
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76 | (2) |
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Tie-breaks: What to do when you're midway |
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78 | (1) |
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78 | (1) |
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Dealing with Decimal Places |
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79 | (4) |
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Rounding to the nearest penny |
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80 | (1) |
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The nearest 10p, and the nearest tenth |
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81 | (1) |
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The nearest pound, the nearest ten pounds and so on |
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81 | (2) |
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That's About Right: Estimating Answers |
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83 | (6) |
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Rough and ready: Rounding to the first digit |
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83 | (4) |
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87 | (2) |
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Part II Parts of the Whole |
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89 | (62) |
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Chapter 6 Cake or Death: Fractions without Fear |
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91 | (16) |
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92 | (1) |
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92 | (1) |
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93 | (1) |
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93 | (2) |
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The bottom of the fraction: How big is your slice? |
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94 | (1) |
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The top: How many slices? |
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94 | (1) |
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95 | (1) |
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95 | (3) |
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96 | (1) |
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96 | (2) |
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Doing Sums with Fractions |
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98 | (3) |
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Writing a number as a fraction of another |
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98 | (1) |
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The same size of slice: Adding and taking away fractions |
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99 | (2) |
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Calculating fractions of a number |
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101 | (1) |
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101 | (1) |
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Fathoming Fractions on Your Calculator |
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101 | (6) |
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Using the fraction button |
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102 | (2) |
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Doing fractions with decimals |
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104 | (1) |
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104 | (3) |
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Chapter 7 What's the Point? Dealing with Decimals |
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107 | (16) |
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A Dot You Know: Decimals and Money |
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108 | (1) |
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Looking before and after the dot |
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108 | (1) |
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Missing off the last zero |
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109 | (1) |
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A Whole Lot of Nothing: Place Values and Why They Matter |
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109 | (3) |
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Hundreds, tens and units: Looking left of the decimal point |
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110 | (1) |
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Tenths, hundredths and smaller: Roaming right of the decimal point |
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110 | (1) |
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111 | (1) |
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Linking Decimals to Fractions |
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112 | (3) |
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Converting decimals to fractions |
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112 | (1) |
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Converting fractions to decimals |
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113 | (2) |
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Remembering some common fractions and decimals |
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115 | (1) |
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115 | (8) |
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116 | (1) |
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Multiplying and dividing with decimals |
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117 | (2) |
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Flipping into fractions, and vice versa |
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119 | (1) |
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Doing decimals with a calculator |
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120 | (3) |
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Chapter 8 It's All Relative: Ratios and Proportions |
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123 | (14) |
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124 | (3) |
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Introducing the Table of Joy |
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125 | (1) |
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Seeing how the Table of Joy works |
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125 | (1) |
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Understanding what goes where |
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126 | (1) |
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Getting Rational: Understanding Ratios |
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127 | (5) |
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One for you, two for me: Sharing |
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127 | (1) |
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128 | (1) |
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Applying the Table of Joy |
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128 | (2) |
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130 | (1) |
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131 | (1) |
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Getting a Sense of Proportion |
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132 | (5) |
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132 | (1) |
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Perfecting proportions with the Table of Joy |
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133 | (1) |
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134 | (1) |
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135 | (2) |
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Chapter 9 Perfect Percentages, 100% of the Time |
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137 | (14) |
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Perusing Some Percentages You Already Know |
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138 | (1) |
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Comparing Percentages, Decimals and Fractions |
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138 | (3) |
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139 | (1) |
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Percentages and fractions |
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140 | (1) |
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Working Out Percentages the Traditional Way |
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141 | (4) |
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Percentages as hundredths |
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141 | (2) |
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143 | (1) |
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144 | (1) |
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Working Out Percentages Using the Table of Joy |
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145 | (3) |
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Finding a percentage of the whole |
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145 | (2) |
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147 | (1) |
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148 | (3) |
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148 | (1) |
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149 | (1) |
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150 | (1) |
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Part III Sizing Up Weights, Shapes and Measures |
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151 | (86) |
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153 | (10) |
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Understanding the Vocabulary of Time |
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153 | (3) |
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154 | (1) |
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154 | (1) |
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Comparing the 12-hour and 24-hour clocks |
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155 | (1) |
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Catching the Bus: Seeing How Timetables Work |
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156 | (1) |
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157 | (3) |
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When does something start? |
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158 | (1) |
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159 | (1) |
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How long does something take? |
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160 | (1) |
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160 | (3) |
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Chapter 11 Working with Cold, Hard Cash |
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163 | (12) |
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Seeing What You Already Know |
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163 | (2) |
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164 | (1) |
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Exploring examples of money sums |
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164 | (1) |
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165 | (2) |
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Adding and subtracting money |
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165 | (1) |
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Multiplying and dividing money |
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166 | (1) |
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167 | (1) |
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Using Euros, Dollars and Other Currencies |
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167 | (2) |
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168 | (1) |
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Converting currency with the Table of Joy |
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168 | (1) |
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Managing More Complicated Money Sums |
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169 | (6) |
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Dealing with deposits and payment plans |
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170 | (2) |
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172 | (1) |
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173 | (1) |
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173 | (2) |
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Chapter 12 Taking the Weight Off Your Shoulders |
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175 | (14) |
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Appreciating What You Already Know |
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175 | (4) |
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177 | (1) |
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177 | (1) |
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178 | (1) |
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179 | (1) |
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The metric system: Grams, kilograms and tonnes |
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179 | (1) |
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The imperial system: Ounces, pounds and stones |
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180 | (1) |
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180 | (5) |
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180 | (1) |
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181 | (2) |
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Using a conversion factor |
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183 | (2) |
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185 | (4) |
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186 | (1) |
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187 | (1) |
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187 | (2) |
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Chapter 13 Feeling the Heat |
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189 | (14) |
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Understanding Temperature |
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190 | (1) |
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Fathoming Fahrenheit and Celsius |
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191 | (3) |
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191 | (1) |
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192 | (2) |
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Thinking about Thermometers |
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194 | (1) |
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Looking at Everyday Temperatures |
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195 | (2) |
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195 | (1) |
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196 | (1) |
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196 | (1) |
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196 | (1) |
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Nailing Negative Temperatures |
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197 | (6) |
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Ordering negative temperatures |
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198 | (1) |
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Finding the difference between negative temperatures |
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198 | (5) |
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Chapter 14 That's About the Size of It |
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203 | (20) |
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How Big Is That Suitcase? |
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204 | (2) |
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Checking in: Dimensions of luggage |
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204 | (1) |
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Sizing up the vocabulary you need |
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205 | (1) |
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Meeting Some Common Measuring Tools |
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206 | (2) |
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206 | (1) |
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207 | (1) |
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Using Different Units of Length |
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208 | (1) |
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Looking at Length, Distance and Perimeter |
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209 | (2) |
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How long is a piece of string? |
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210 | (1) |
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How many miles to Babylon? |
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210 | (1) |
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210 | (1) |
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211 | (1) |
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211 | (4) |
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212 | (1) |
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Joining things up: Compound rectangles |
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212 | (2) |
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214 | (1) |
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Verifying Volume and Capacity |
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215 | (2) |
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217 | (6) |
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217 | (3) |
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220 | (3) |
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223 | (14) |
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You're Already in Good Shape |
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224 | (3) |
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Sussing out shapes you know |
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224 | (2) |
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Expanding your shapely vocabulary |
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226 | (1) |
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227 | (3) |
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227 | (2) |
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229 | (1) |
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230 | (4) |
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On reflection: Turning shapes over |
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230 | (1) |
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Doing the twist: Rotating shapes |
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231 | (2) |
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Pretty patterns: Tessellation |
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233 | (1) |
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Understanding Nets, Plans and Elevations, Oh My! |
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234 | (3) |
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Folding under pressure: Nets |
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235 | (1) |
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Looking at every angle: Plans and elevations |
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236 | (1) |
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Part IV Statistically Speaking |
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237 | (68) |
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Chapter 16 Data Mining (No Hard Hat Required) |
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239 | (16) |
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A Spotter's Guide to Graphs and Charts |
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239 | (10) |
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240 | (1) |
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Bringing in the bar charts |
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241 | (3) |
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Poking about in pie charts |
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244 | (2) |
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246 | (3) |
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Reading Graphs, Tables and Charts |
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249 | (2) |
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Picking the right data from a table |
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249 | (1) |
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Keeping up with keys and axes |
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250 | (1) |
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251 | (1) |
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Drilling Deeper into Graphs |
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251 | (4) |
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Adding up totals and finding differences |
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251 | (1) |
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252 | (1) |
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253 | (2) |
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Chapter 17 Top of the Charts |
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255 | (20) |
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256 | (4) |
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257 | (1) |
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Looking at a real-life table |
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257 | (1) |
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258 | (1) |
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Watching out for problems |
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259 | (1) |
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260 | (9) |
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262 | (1) |
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Labelling and titling your graphs |
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262 | (1) |
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Ordering at the bar chart |
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263 | (1) |
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264 | (3) |
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Forming an orderly line graph |
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267 | (2) |
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Drawing Graphs on the Computer |
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269 | (6) |
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Building virtual bar charts |
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269 | (2) |
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Creating virtual pie charts |
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271 | (1) |
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Drawing virtual line graphs |
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272 | (1) |
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Messing around with computer graphs |
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273 | (2) |
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275 | (14) |
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Starting Out with Statistics |
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275 | (1) |
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Meeting the Three Types of Average |
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276 | (9) |
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A group of people: Who's the most average? |
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277 | (1) |
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The man in the middle: The median |
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277 | (3) |
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Terribly common, darling: The mode |
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280 | (2) |
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282 | (3) |
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285 | (4) |
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285 | (1) |
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Pulling range out of a graph |
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286 | (3) |
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Chapter 19 What Are the Chances? |
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289 | (16) |
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290 | (4) |
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Considering certainty and Impossibility |
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290 | (1) |
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291 | (1) |
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291 | (1) |
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Looking at the other side of the coin |
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292 | (1) |
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293 | (1) |
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Practising probability with the number line |
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293 | (1) |
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Experimenting and Estimating |
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294 | (2) |
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294 | (1) |
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295 | (1) |
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Putting Many Things Together |
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296 | (5) |
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297 | (1) |
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298 | (2) |
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300 | (1) |
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301 | (4) |
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You can't have it both ways: Either/or events |
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302 | (1) |
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Doing several things at once: Both or all events |
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303 | (2) |
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305 | (28) |
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Chapter 20 Ten Ways to Prepare Yourself Before You Start Studying |
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307 | (6) |
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308 | (1) |
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308 | (1) |
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Breathing like a Rock Star |
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308 | (1) |
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Putting Out the Welcome Mat |
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309 | (1) |
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309 | (1) |
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310 | (1) |
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Turning Studying into a Habit |
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310 | (1) |
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311 | (1) |
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Getting Your Blood Flowing |
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311 | (1) |
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312 | (1) |
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Chapter 21 Ten Tricks for Remembering Your Number Facts |
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313 | (10) |
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313 | (1) |
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314 | (1) |
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315 | (1) |
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315 | (1) |
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316 | (1) |
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Tricking Out the Other Big Numbers |
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316 | (2) |
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317 | (1) |
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317 | (1) |
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317 | (1) |
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318 | (1) |
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Breaking Down and Building Up |
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318 | (1) |
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Eight: halving over and over |
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318 | (1) |
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318 | (1) |
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319 | (1) |
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319 | (1) |
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Learning from Your Mistakes |
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319 | (1) |
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Working from What You Know |
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319 | (1) |
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Training Yourself with Treats |
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320 | (3) |
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Chapter 22 Ten Pitfalls to Avoid |
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323 | (4) |
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Taking Care with Your Calculator |
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323 | (1) |
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324 | (1) |
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Making Sure Your Answer Makes Sense |
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324 | (1) |
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Distinguishing `More Than' and `At Least' |
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|
324 | (1) |
|
|
|
324 | (1) |
|
Fathoming the Phantom Forty Minutes |
|
|
325 | (1) |
|
Getting the Wrong Percentage |
|
|
325 | (1) |
|
|
|
325 | (1) |
|
Mixing Up the Mean, Mode and Median |
|
|
325 | (1) |
|
|
|
326 | (1) |
|
Chapter 23 Ten Ways to Make Any Exam Easier |
|
|
327 | (6) |
|
Know What You're Up Against |
|
|
327 | (1) |
|
|
|
328 | (1) |
|
|
|
328 | (1) |
|
Use the Final Few Minutes before Your Exam |
|
|
328 | (1) |
|
|
|
329 | (1) |
|
Think Positive, or `I'll Show Me!' |
|
|
329 | (1) |
|
|
|
330 | (1) |
|
|
|
330 | (1) |
|
|
|
331 | (2) |
| Index |
|
333 | |
