1: Numbers
1: Number symbols
2: Place value
3: Sequences and patterns
4: Sequences and shapes
5: Positive and negative numbers
6: Comparing numbers
7: Ordering numbers
8: Estimating
9: Rounding
10: Factors
11: Multiples
12: Prime numbers
13: Prime factors
14: Square numbers
15: Square roots
16: Cube numbers
17: Fractions
18: Improper fractions and mixed numbers
19: Equivalent fractions
20: Simplifying fractions
21: Finding a fraction of an amount
22: Comparing fractions with the same denominators
23: Comparing unit fractions
24: Comparing non-unit fractions
25: Using the lowest common denominator
26: Adding fractions
27: Subtracting fractions
28: Multiplying fractions
29: Dividing fractions
30: Decimal numbers
31: Comparing and ordering decimals
32: Rounding decimals
33: Adding decimals
34: Subtracting decimals
35: Percentages
36: Calculating percentages
37: Percentage changes
38: Ratio
39: Proportion
40: Scaling
41: Different ways to describe fractions
2: Calculating
1: Addition
2: Adding with a number line
3: Adding with a number grid
4: Addition facts
5: Partitioning for addition
6: Expanded column addition
7: Column addition
8: Subtraction
9: Subtraction facts
10: Partitioning for subtraction
11: Subtracting with a number line
12: Shopkeeper's addition
13: Expanded column subtraction
14: Column subtraction
15: Multiplication
16: Multiplication as scaling
17: Factor pairs
18: Counting in multiples
19: Multiplication tables
20: The multiplication grid
21: Multiplication patterns and strategies
22: Multiplying by 10, 100, and 1000
23: Multiplying by multiples of 10
24: Partitioning for multiplication
25: The grid method
26: Expanded short multiplication
27: Short multiplication
28: Expanded long multiplication
29: Long multiplication
30: More long multiplication
31: Multiplying decimals
32: The lattice method
32: Division
33: Dividing with multiples
34: The division grid
35: Division tables
36: Dividing with factor pairs
37: Checking for divisibility
38: Dividing by 10, 100 and 1000
39: Dividing by multiples of 10
40: Partitioning for division
41: Expanded short division
42: Short division
43: Expanded long division
44: Long division
45: Converting remainders
46: Dividing with decimals
47: The order of operations
48: Arithmetic laws
49: Using a calculator
3: Measurement
1: Length
2: Calculating with length
3: Perimeter
4: Using formulas to find perimeter
5: Area
6: Estimating area
7: Working out area with a formula
8: Areas of triangles
9: Areas of parallelograms
10: Areas of complex shapes
11: Comparing area and perimeter
12: Capacity
13: Volume
14: The volumes of solids
15: Working out volume with a formula
16: Mass
17: Mass and weight
18: Calculating with mass
19: Temperature
20: Calculating with temperature
21: Imperial units
22: Imperial units of length, volume, and mass
23: Telling the time
24: Dates
25: Calculating with time
26: Money
27: Using money
28: Calculating with money
4: Geometry
1: What is a line?
2: Horizontal and vertical lines
3: Diagonal lines
4: Parallel lines
5: Perpendicular lines
6: 2D shapes
7: Regular and irregular polygons
8: Triangles
9: Quadrilaterals
10: Naming polygons
11: Circles
12: 3D shape
13: Types of 3D shape
14: Prisms
15: Nets
16: Angles
17: Degrees
18: Right angles
19: Types of angle
20: Angles on a straight line
21: Angles at a point
22: Opposite angles
23: Using a protractor
24: Angles inside triangles
25: Calculating angles inside triangles
26: Angles inside quadrilaterals
27: Calculating angles inside quadrilaterals
28: Angles inside polygons
29: Calculating the angles in a polygon
30: Coordinates
31: Plotting points using coordinates
32: Positive and negative coordinates
33: Using coordinates to draw a polygon
34: Position and direction
35: Compass directions
36: Reflective symmetry
37: Rotational symmetry
38: Reflection
39: Rotation
40: Translation
5: Statistics
1: Data handling
2: Tally marks
3: Frequency tables
4: Carroll diagrams
5: Venn diagrams
6: Averages
7: The mean
8: The median
9: The mode
10: The range
11: Using averages
12: Pictograms
13: Block graphs
14: Bar charts
15: Drawing bar charts
16: Line graphs
17: Drawing line graphs
18: Pie charts
19: Making pie charts
20: Probability
21: Calculating probability
6: Algebra
1: Equations
2: Solving equations
3: Formulas and sequences
4: Formulas
7: Glossary
8: Index
9: Answers
10: Acknowledgments