Applying Pythagoras’ theorem to calculate side lengths in right-angled triangles
Testing right-angled triangles
Pythagorean triads
Using Pythagoras’ theorem to solve perimeter and area problems
Applying Pythagoras’ theorem to calculate side lengths in right-angled triangles
Testing right-angled triangles
Pythagorean triads
Using Pythagoras’ theorem to solve perimeter and area problems
Computations with fractions, decimals and percentages
Percentage increase and decrease
Profit and loss
The unitary method
Solves financial maths problems pertaining to the purchase of goods and services
GST
Angle geometry
Identifying angle relationships on parallel lines to solve for unknown angles
Angle sum of a triangle and quadrilateral
Convex polygons and classifying triangles and quadrilaterals
One and two step equations
Solving equations with fractions
Solving equations with variables on both sides
Equations with grouping symbols and formulae
Using equations to solve word problems
Equivalent ratios
Ratios with fractions, decimals and the unitary method
Applying ratios and dividing in a given ratio
Simplifying and using rates
Unit conversions
Collects, organises and interprets data using a variety of statistical displays
Representation of single set and grouped data in frequency histograms and polygons
Dot plots and stem-and-leaf plots
Analyses data using measures of spread, range and location
Calculates the perimeters of plane shapes and the circumferences of circles
Uses appropriate formulas to calculate the areas of quadrilaterals and circles,
Uses appropriate formulas to calculate the volumes of prisms and cylinders
Converts between units of area and volume
Graphs linear relationships
Identifying equations of lines
Points of intersection
Performs transformations of linear relationships on the Cartesian plane
Communicates mathematical ideas using geometrical reasoning, appropriate terminology, diagrams and symbols
Identifies the properties of congruent triangles to find unknown side lengths and angles
Rates and ratios
Price comparisons and best buys
Provides reasoning to support conclusions