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