Highly successful completion of Year 9 Mathematics.
This course is a prerequisite for Year 11 IB Mathematics – Standard Level or VCE Mathematical Methods Units 1 and 2. Students who have achieved an average of C or above in Year 9 Mathematics are encouraged to select this subject.
The course follows the scope and sequence of the Year 10 Mathematics A course in the Victorian Curriculum. Students build on skills obtained from previous study of extended Mathematics in the areas Number and Algebra, Measurement and Geometry, and Probability and Statistics.
Problem-solving and modelling is developed progressively throughout the course using real life situations to improve the student's ability to think laterally and write coherently on a mathematical topic. CAS technology is used extensively in the course, both as an instructional aid and a computational tool, while notebook computers are an integral part of the course.
- What are the relationships between the angles and sides in polygons and circles?
- What does the gradient of a straight line represent and how is this useful in the real world?
- How is our number system structured to include surds and logarithms?
- Where do quadratic relationships occur and how do we model these?
- What is probability and how do we model the chance of events occurring?
- What is the difference between a linear and quadratic equation and how do we solve them?
Areas of Study
Number and Algebra
- Revision of fractions, decimals, percentage and ratios.
- Surds, indices and logarithms.
- Interpreting formulae, algebraic simplification and expansion.
- Linear, quadratic and cubic factorisation and equation solving.
- Manipulating and solving indicial, logarithmic, trigonometric and polynomial equations.
Measurement and Geometry
- Spatial relations, geometric objects and mensuration (length, area, volume and capacity).
- Pythagoras's Theorem.
- Circle geometry theorems, arc length, congruence and similarity.
- Graphs of linear, quadratic, cubic, exponential and logarithmic functions.
- Finding lengths and angles in right angled and other triangles in two- and three-dimensions using formulae.
- Applications, the unit circle and the graphical representation and trigonometric functions.
Probability and Statistics
- Use of tree diagrams, Venn diagrams and two way tables to calculate theoretical probability.
- Independent and mutually exclusive events.
||One test for each topic studied.
|Major Problem-solving Tasks
||One project or investigation per semester.
||Regular homework is set and assessed.
One with CAS technology, one without.
Paper 1: Short Answer (technology free).
Paper 2: Multiple Choice and Extended Response (technology active).