Years 7 to 10
Year 7
By the end of Year 7, students interpret integers in
real world contexts. They make connections between whole numbers and
index. notation. They move flexibly between representations of
fractions, decimals and percentages. Students generalise using
variables, solve simple linear equations and identify points on the
Cartesian plane. They compare costs of items to make financial
decisions.
Students investigate questions involving the collection of a
range of data. They calculate mean, mode, median and range for sets of
data and describe the relationship between median and mode in
data displays.
Students classify triangles and quadrilaterals and
establish the formulas for the area and perimeter of rectangles. They
calculate the volume of rectangular prisms and draw and build three
dimensionalobjects. They identify angles formed by a transversal through
parallel lines and describe transformations on the Cartesian plane.
Year 8
By the end of Year 8 students use efficient mental and
written strategies to carry out the four operations with integers. They
round decimals and solve problems involving percentages.
Students recognise the index laws and apply them to whole numbers and
variables.
They simplify a variety of algebraic expressions and
solve linear equations. They graph linear relationships on the Cartesian
plane. They solve a range of everyday problems involving rates and
ratios.
Students determine complementary events and use the sum of probabilities to solve problems. They understand the
challenges of collecting representative data and the effect on medians
and means of outliers.
Students choose appropriate units of
measurement for area and volume and solve problems. They recognise the
features of circles and solve problems involving circumference and
area.
Students identify conditions for congruence of plane shapes and
establish properties of quadrilaterals and solve related numerical problems.
They solve problems involving time duration.
Year 9
By the end of Year 9, students express numbers in
scientific notation and apply the index laws to numbers. They expand and
factorise algebraic expressions .and solve problems involving
simple interest.
Students solve linear equations using graphical and
algebraic techniques. Students list outcomes, assign and determine
probabilities for events. They construct displays and investigate the
position of the mean and median and describe the shape of the
distribution.
Students calculate areas of shapes and volume and surface
area of right prisms. They investigate similar and congruent
triangles and problems involving Pythagoras’ theorem.
Students recognise
the connection between similarity and the trigonometric ratios and use
trigonometry to solve right-angled triangle problems.
Year 10
By the end of Year 10, students expand and factorise
monic quadratic expressions and find unknown values after substitution
into formulas. They represent relations on the Cartesian
plane and solve linear and quadratic equations. They make connections
between simple and compound interest.
Students list outcomes,
assign and determine probabilities for chance experiments and
investigate independent events. They construct box-plots and compare
data sets. Students investigate and describe statistical relationships
and evaluate statistical reports.
Students solve problems
involving volume and surface area of a range of prisms and apply
reasoning to proofs and numerical exercises. They apply trigonometry to solve
right-angled triangle problems.
Sample tasks