Contents |
1 WHOLE NUMBER | 1 |
Diagnostic Test: Whole Number | 2 |
SKILL 1 Number Systems | 4 |
SKILL 2 Number place values | 6 |
SKILL 3 Rounding off | 8 |
SKILL 4 Adding whole numbers | 8 |
SKILL 5 Subtracting whole numbers | 9 |
SKILL 6 The multiplication table | 11 |
SKILL 7 Multiplying whole numbers | 11 |
SKILL 8 Dividing whole numbers | 13 |
SKILL 9 Divisibility | 13 |
SKILL 10 Order of operations | 14 |
Whole Number Practice | 15 |
Whole Number Extensions | 17 |
2 NUMBER THEORY | 20 |
Diagnostic Test: Number Theory | 21 |
SKILL 1 Factors | 22 |
SKILL 2 Prime numbers | 23 |
SKILL 3 Composite numbers | 24 |
SKILL 4 Prime factors | 24 |
SKILL 5 Multiples | 24 |
SKILL 6 Square numbers | 25 |
SKILL 7 Square roots | 25 |
SKILL 8 Number patterns | 26 |
SKILL 9 Substitution | 26 |
Number Theory Practice | 28 |
Number Theory Extensions | 30 |
3 FRACTIONS | 33 |
Diagnostic Test: Fractions | 34 |
SKILL 1 Equivalent fractions and cancelling | 36 |
SKILL 2 Mixed numbers and improper fractions | 37 |
SKILL 3 Multiplying fractions | 38 |
SKILL 4 Dividing fractions | 39 |
SKILL 5 Adding fractions with equal denominators | 40 |
SKILL 6 Subtracting fractions with equal denominators | 41 |
SKILL 7 Adding fractions with unequal denominators | 42 |
SKILL 8 Subtracting fractions with unequal denominators | 43 |
SKILL 9 Working with mixed numbers | 44 |
SKILL 10 Comparing the sizes of fractions | 45 |
SKILL 11 Finding fractions of quantities | 46 |
SKILL 12 Expressing quantities as a fraction of each other | 46 |
Fractions Practice | 47 |
Fractions Extensions | 49 |
4 DECIMALS | 53 |
Diagnostic Test: Decimals | 54 |
SKILL 1 The Decimal System | 56 |
SKILL 2 Place value | 57 |
SKILL 3 Comparing the size of decimals | 58 |
SKILL 4 Adding decimals | 59 |
SKILL 5 Subtracting decimals | 59 |
SKILL 6 Multiplying decimals | 60 |
SKILL 7 Multiplying by groups often | 60 |
SKILL 8 Dividing decimals | 61 |
SKILL 9 Dividing by powers of ten | 62 |
SKILL 10 Converting decimals into fractions | 62 |
SKILL 11 Converting fractions into decimals | 63 |
SKILL 12 Decimal currency | 64 |
Decimals Practice | 66 |
Decimals Extensions | 69 |
5 PERCENTAGES | 73 |
Diagnostic Test: Percentages | 75 |
SKILL 1 Making percentages into fractions | 76 |
SKILL 2 Making fractions into percentages | 76 |
SKILL 3 Making percentages into decimals | 76 |
SKILL 4 Making decimals into percentages | 77 |
SKILL 5 Expressing fractions of quantities as percentages | 77 |
SKILL 6 Finding percentages of quantities | 78 |
SKILL 7 Finding the size of a quantity when given a part of it | 78 |
Percentages Practice | 79 |
Percentages Extensions | 80 |
6 MEASUREMENT | 83 |
Diagnostic Test: Measurement | 85 |
SKILL 1 Length units | 88 |
SKILL 2 Comparing lengths | 89 |
SKILL 3 Perimeter of shapes with straight sides | 89 |
SKILL 4 Area of shapes with straight sides | 90 |
SKILL 5 Composite areas | 91 |
SKILL 6 Volume of solids | 92 |
SKILL 7 Capacity | 93 |
SKILL 8 Mass | 94 |
SKILL 9 Times | 94 |
SKILL 10 Temperature | 96 |
Measurement Practice | 97 |
Measurement Extensions | 100 |
7 GEOMETRY | 104 |
Diagnostic Test: Geometry | 106 |
SKILL 1 Using a compass to make circles | 110 |
SKILL 2 Measuring and drawing angles with a protractor | 110 |
SKILL 3 Angle facts | 112 |
SKILL 4 Triangles | 113 |
SKILL 5 Quadrilaterals | 114 |
SKILL 6 Angles that describe directions | 116 |
SKILL 7 Describing solids | 117 |
SKILL 8 Moving shapes | 118 |
SKILL 9 Symmetry | 120 |
Geometry Practice | 121 |
Geometry Extensions | 127 |
8 CHANCE AND DATA | 131 |
Diagnostic Test: Chance and Data | 133 |
SKILL 1 Finding average and range | 135 |
SKILL 2 Constructing tally tables | 136 |
SKILL 3 Constructing pictographs | 137 |
SKILL 4 Constructing bar graphs | 138 |
SKILL 5 Constructing pie graphs | 139 |
SKILL 6 Reading values from line graphs | 140 |
SKILL 7 Simple probability | 141 |
Chance and Data Practice | 143 |
Chance and Data Extensions | 147 |
9 CALCULATORS | 150 |
Diagnostic Test: Calculators | 151 |
SKILL 1 Estimation | 152 |
SKILL 2 Simple calculations | 153 |
SKILL 3 Using the memory function | 154 |
SKILL 4 Rounding off | 155 |
SKILL 5 Squaring numbers | 156 |
SKILL 6 Finding square roots | 157 |
SKILL 7 Percentages | 157 |
SKILL 8 Turning fractions into decimals | 158 |
Calculators Practice | 159 |
Calculators Extensions | 161 |
10 PROBLEM SOLVING | 165 |
Diagnostic Test: Problem Solving | 166 |
SKILL 1 Making lists | 170 |
SKILL 2 Guess and check method | 170 |
SKILL 3 Using diagrams | 172 |
SKILL 4 Working backwards | 175 |
SKILL 5 Eliminating possibilities | 176 |
SKILL 6 Starting with a simpler problem | 177 |
SKILL 7 Comparing values of quantities | 178 |
SKILL 8 Finding a pattern | 179 |
SKILL 9 Making models | 180 |
SKILL 10 Using information from worded questions, tables and graphs | 181 |
Problem Solving Practice | 184 |
Problem Solving Extensions | 189 |
ASSESSMENT TASKS | 193 |
SOLUTIONS | 216 |
1 Whole number | 216 |
2 Number theory | 219 |
3 Fractions | 221 |
4 Decimals | 224 |
5 Percentages | 227 |
6 Measurement | 228 |
7 Geometry | 231 |
8 Chance and Data | 236 |
9 Calculators | 240 |
10 Problem solving | 243 |
Assessment tasks | 246 |