In Year 9 Mathematics, students solve problems involving simple interest. They interpret ratio and scale factors in similar figures. Students explain similarity of triangles. They recognise the connections between similarity and the trigonometric ratios. Students compare techniques for collecting data from primary and secondary sources. They make sense of the position of the mean and median in skewed, symmetric and bi-modal displays to describe and interpret data.
Students apply the index laws to numbers and express numbers in scientific notation. They expand binomial expressions. They find the distance between two points on the Cartesian plane and the gradient and midpoint of a line segment. They sketch linear and non-linear relations. Students calculate areas of shapes and the volume and surface area of right prisms and cylinders. They use Pythagoras’ Theorem and trigonometry to find unknown sides of right-angled triangles. Students calculate relative frequencies to estimate probabilities, list outcomes for two-step experiments and assign probabilities for those outcomes. They construct histograms and back-to-back stem-and-leaf plots.
Content
The following topics provide the framework for learning in Year 9 Mathematics:
Assessment
Students are assessed against the Australian Curriculum Mathematics achievement standards. Evidence of student achievement will be gathered through tests, investigations and reports.
Students are tested on their knowledge of index laws and indices, the Pythagorean theorem and trigonometry, linear and non-linear relationships and their geometric reasoning. They investigate and compare the height of students in their class with national statistics, how surface area and volume impact on the size of cargo ships and validate statistical claims in the media, often writing reports on their findings.
CARE • COMMITMENT • CO-OPERATION • RESPECT
