WHOLE NUMBERS

• The number system
• Rounding and estimation
• Operating with numbers
• Square numbers and square roots
• Order of operations

PLANE FIGURE GEOMETRY

• Turning
• Measuring angles
• Classifying and naming angles
• Complementary and supplementary angles
• Angles in a revolution
• Bisecting angles
• Constructing 90° angles to a line
• Plane shapes
• Points and lines

DIRECTED NUMBERS

• Opposites
• Directed numbers and the number line
• Using a number line to add and subtract
• Rules for adding and subtracting
• Multiplying directed numbers
• Dividing directed numbers
• Combined operations
• Using your calculator

PROPERTIES OF WHOLE NUMBERS

• Divisibility rules
• Factors of natural numbers
• Index notation
• Multiples of natural numbers
• Number patterns

ALGEBRA: PATTERNS AND MODELS

• Geometric patterns
• Symbols in algebra
• Number crunching machines
• Substituting into formulae
• Using patterns

FRACTIONS

• Representing fractions
• Improper fractions and mixed numbers
• Placing fractions on a number line
• Equal fractions
• Comparing fraction sizes

DECIMAL NUMBERS

• Place value
• Ordering decimal numbers
• Adding and subtracting decimal numbers
• Multiplying and dividing by powers of 10
• Multiplying decimal numbers
• Dividing decimal numbers
• Terminating and recurring decimals
• Decimal approximations

THE GEOMETRY OF SOLIDS

• Solids
• Nets of solids
• Drawing solids
• Plans
• Paper modelling

LENGTH AND AREA

• Length
• Perimeter
• Circumference
• Areas of polygons
• Areas of circles

MEASUREMENT

• Volume
• Capacity
• Mass
• Time

ALGEBRA: EXPRESSIONS AND RULES

• Building expressions
• Expressions with two pronumerals
• Simplifying expressions with like terms
• Algebraic products
• Evaluation of algebraic expressions
• The distributive law
• Factorisation

OPERATIONS WITH FRACTIONS

• Adding fractions
• Subtracting fractions
• Multiplying fractions
• Reciprocals
• Dividing fractions
• Problem solving
• Operations with rational numbers

PERCENTAGES

• Understanding percentages
• Interchanging number forms
• One quantity as a percentage of another
• Finding percentages of quantities
• The unitary method in percentage
• Percentage increase or decrease
• Finding the percentage change
• Business applications of percentage
• Simple interest

COORDINATES

• Map references
• Grid lines and coordinates on a map
• Number grids
• Interpreting points on a grid
• The number plane
• Qualitative data

RATIO AND PROPORTION

• Ratio
• Equal ratios
• Equal ratios and proportion
• Using ratios to divide quantities
• Scale diagrams
• Gradient (or slope)

EQUATIONS

• Equations
• Algebraic expressions and equations
• Maintaining balance
• Inverse operations
• Building and undoing expressions
• Equations with two or more operations
• Equations where the unknown occurs more than once
• Equations where the unknown occurs on both sides

GEOMETRY

• Plane figures
• Line pairs
• Constructing perpendiculars
• Classifying triangles
• Constructing and drawing triangles
• Angles of a triangle
• Constructing a 60° angle
• Exterior angles of triangles
• Quadrilaterals
• Angles of a quadrilateral
• Interior angles of polygons

STATISTICS

• Statistical enquiries (investigations)
• Populations and samples
• Categorical data
• Discussion and report writing

LINE GRAPHS

• Estimating from line graphs
• Conversion graphs
• Travel graphs
• Continuous and discrete graphs
• Graphing linear relationships

RATES

• Rates
• Average speed
• Density
• Converting rates

PROBLEM SOLVING

• Writing equations using symbols
• Solving simple problems with algebra
• Solving problems involving measurement
• Solving money problems
• Miscellaneous problem solving
• Other problem solving techniques