Acknowledgments

Legend

Introduction

1. Number review, 1.1. Place value, 1.2. Whole number addition, 1.3. Whole number subtraction, 1.4. Whole number multiplication, 1.5. Whole number division, 1.6. Applying whole numbers, 1.7. Order of operations, 1.8. Estimating numbers

2. Numbers and money, 2.1. Naming fractions, 2.2. Equivalent fractions, 2.3. Fractions of quantities, 2.4. Decimal fractions, 2.5. Approximation and estimation, 2.6. Comparing common and decimal fractions, 2.7. Addition and subtraction of decimal fractions, 2.8. Multiplication and division by multiples of 10, 2.9. Multiplication of decimal fractions, 2.10. Division of decimal fractions, 2.11. Applications of decimals using the calculator

3. Number patterns and symbols, 3.1. Generating number patterns from rules, 3.2. Exploring number patterns, 3.3. Exploring spatial patterns, 3.4. Finding rules for spatial patterns, 3.5. Using rules, 3.6. Finding rules for number patterns using differences

4. Triangles and quadrilaterals, 4.1. Naming and measuring angles, 4.2. Drawing scalene, equilateral and isosceles triangles, 4.3. Right-angled, acute-angled and obtuse-angled triangles, 4.4. Drawing triangles given a combination of sides and angles, 4.5. Quadrilaterals and parallelograms, 4.6. The angle sums of triangles and quadrilaterals

5. Length, mass and time, 5.1. Systems of measurement, 5.2. Length, 5.3. Reading scales, 5.4. Conversion of units of length, 5.5. Perimeter, 5.6. Measuring the circumference of a circle, 5.7. Calculating the circumference of a circle, 5.8. Mass, 5.9. Time, 5.10. Units of time

6. Expressions, symbols and rules, 6.1. Algebraic expressions, 6.2. Simplifying algebraic expressions using addition and subtraction, 6.3. Simplifying algebraic expressions using multiplication and division, 6.4. The distributive law, 6.5. Evaluating expressions, 6.6. Formulae

7. Whole number patterns, 7.1. Multiples and factors, 7.2. Prime and composite numbers, 7.3. Number patterns, 7.4. Index notations, 7.5. Squares and square roots, 7.6. Making multiplication easier, 7.7. Divisibility of numbers

8. Probability, 8.1. Describing probability, 8.2. Probability - equally likely outcomes, 8.3. Probability as long-run proportion, 8.4. Applying long-run proportion

Cyclic revision A

9. Coordinates, maps and networks, 9.1. Locating position in two dimensions, 9.2. Using grids to enlarge or reduce, 9.3. Maps and compass bearings, 9.4. Maps and true bearings, 9.5. Working with maps, 9.6. Contour lines, 9.7. Networks

10. Statistical data, 10.1. Introduction to statistics, 10.2. Picture graphs, 10.3. Column and bar graphs, 10.4. Line graphs, 10.5. Circle graphs, 10.6. Stem plots, 10.7. Frequency tables, column graphs and dot plots, 10.8. Analysing data - mean, median, mode and range, 10.9. Spreadsheet charts

11. Equations and inequations, 11.1. Equations, 11.2. Solving equations by inspection, 11.3. Using 'guess, check and improve' to solve equations, 11.4. Using backtracking to solve number puzzles and equations, 11.5. Number machines, 11.6. Algebraic solutions of one-step equations involving addition and subtraction, 11.7. Algebraic solutions of one-step equations involving multiplication and division, 11.8. Two-step equations, 11.9. Formulae, 11.10. Inequations, 11.11. Solving inequations

12. Polygons and polyhedra, 12.1. Naming polygons, 12.2. Angles and polygons, 12.3. Exterior angles, 12.4. Symmetry, 12.5. Congruence of polygons, 12.6. Polygons, nets and polyhedra

13. Operations and order (fractions and percentages), 13.1. Fractions - revision, 13.2. Lowest common denominator, 13.3. Ratios and fractions, 13.4. Addition and subtraction of fractions, 13.5. Multiplying fractions, 13.6. Dividing fractions, 13.7. Percentages, 13.8. Operations with percentages

14. Area, volume and capacity, 14.1. Area, 14.2. Area of a rectangle, 14.3. Areas of shapes based on rectangles, 14.4. Area of a triangle, 14.5. Volume, 14.6. Capacity

15. Coordinates and graphs, 15.1.