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
Evidence of student achievement will be gathered through tests, investigations and other assessment tasks.
In semester 1 students complete a research task on the surface area to volume ratio of cubes, “squared” cylinders and spheres in order to analyse why cargo ships are so large. There are tests for each topic covered.
In semester 2 collect data from other Year 9s and analyse it using statistical measures. They investigate the chance of certain events occurring. They use coordinate geometry to solve problems around the house. There are tests for each topic covered.
Students are assessed against the IB MYP Science assessment criteria:
Criteria A: Knowing and understanding
Criteria B: Investigating patterns
Criteria C: Communicating
Criteria D: Applying mathematics in real-life contexts.
CARE • COMMITMENT • CO-OPERATION • RESPECT