Mathematics A
Prerequisites
Highly successful completion of Year 9 Mathematics.
Course Description
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.
Problemsolving 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.
Essential Questions
 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 threedimensions 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.
Assessment
Task 
Description 
Topic Tests 
One test for each topic studied. 
Major Problemsolving Tasks 
One project or investigation per semester. 
Homework 
Regular homework is set and assessed. 
Semester Examination 
One with CAS technology, one without.
Paper 1: Short Answer (technology free).
Paper 2: Multiple Choice and Extended Response (technology active).
