Ratios and Rates

Subtopics:

• Ratio
• Equivalent ratios
• Problem solving
• The unitary method
• Dividing a quantity in a given ratio
• Rates
• Scale drawing

Congruence

Subtopics:

• Congruent figures
• Congruency tests
• Applying congruency tests
• Properties of triangles and quadrilaterals

Number operations and index laws

• Index notation
• Multiplying numbers with the same base
• Raising a number to a power
• Dividing numbers with the same base
• The zero index

Perimeter, area and capacity

Subtopicss:

• Area and perimeter review
• Area and perimeter
• Formulas for area
• Area of special quadrilaterals
• Area and perimeter
• Converting area units
• Volume and capacity

Time

Subtopics:

• Analogue clocks review
• Digital displays review
• 24-hour time review
• Solving time problems
• Using a calculator
• Calendars
• Using timetables and charts
• Time zones

Percentages

Subtopics:

• Percentages review
• Percentage symbol
• Percentages of quantities
• Percentage change
• Comparing percentages
• Calculating percentage change
• The unitary method
• Profit and loss
• Goods and services tax (GST)

Circles and cylinders

Subtopics:

• Parts of a circle
• Circumference of a circle
• The value of pi (π) using hexagons
• Finding the diameter and radius from the circumference
• Area of a circle
• How to calculate volume
• Volume of a cylinder

Data collection and analysis

Subtopics:

• Variables
• Collecting data
• Selecting random samples
• Obtaining data through sampling
• Data constraints
• Bias in samples
• Review of measures of central tendency
• Clusters, gaps and outliers
• Using measures of central tendency
• Comparing sample summary statistics
• Variation of sample mean and proportion

Pythagoras’ theorem

Subtopics:

• Right-angled triangles
• Pythagoras’ rule or theorem
• Converse of Pythagoras’ theorem
• Pythagorean triads .
• Using Pythagoras’ theorem to find the hypotenuse
• Using Pythagoras’ theorem to find the shorter sides .
• Problem solving using Pythagoras’ theorem
• Square numbers
• Simple quadratic equations

Algebra

Subtopics:

• Adding and subtracting algebraic terms
• Multiplying of algebraic terms
• Dividing algebraic terms
• The distributive law
• Removing grouping symbols
• Highest common factor
• Factorising algebraic expressions
• Word problems

Probability and Venn diagrams

Subtopics:

• Probability review
• Sum of probabilities
• Identifying complements of events
• Sum of probabilities of complementary events
• Probabilities of complements of events
• Mutually exclusive events
• Compound events
• Venn diagrams
• Two-way tables

Linear equations

• Equations
• Backtracking
• Maintaining balance
• One-to-one matching of terms
• Equations with pronumerals on both sides
• Equations with grouping symbols
• Substituting into a formula (extension)
• Problem solving (extension)

Coordinate geometry and straight lines

• Number plane review
• Number patterns
• Building patterns
• Graphing data
• Sketching graphs
• Graphics calculator
• Straight-line graphs
• Linear relationships
• Comparing equations
• Intersecting lines

Triangles and quadrilaterals

• Notation review
• Constructing triangles
• Classifying triangles
• Sum of the angles of a triangle
• Angle sum of a triangle
• Equilateral triangles
• Isosceles triangles
• Properties of equilateral and isosceles triangles
• Exterior angle of a triangle
• Exterior angle of a triangle
• Convex and concave quadrilaterals
• Properties of special quadrilaterals