Prerequisites
A minimum C result for Year 10 Extension Mathematics.
Corequisites
Mathematical Methods
Subject Description
Specialist Mathematics is designed for students who develop confidence in their mathematical knowledge and ability, and gain a positive view of themselves as mathematics learners. They will gain an appreciation of the true nature of mathematics, its beauty and its power.
Students learn topics that are developed systematically, with increasing levels of sophistication, complexity and connection, building on functions, calculus, statistics from Mathematical Methods, while vectors, complex numbers and matrices are introduced.
Functions and calculus are essential for creating models of the physical world. Statistics are used to describe and analyse phenomena involving probability, uncertainty and variation. Matrices, complex numbers and vectors are essential tools for explaining abstract or complex relationships that occur in scientific and technological endeavours.
Weekly workload in hours
4+ hours
Structure
Combinatorics, vectors and proof
| Complex numbers, trigonometry, functions and matrices
| Mathematical induction, and further vectors, matrices and complex numbers
| Further statistical and calculus inference
|
Combinatorics
| Complex numbers 1
| Proof by mathematical induction
| Integration and applications of integration
|
Vectors in the plane
| Trigonometry and functions
| Vectors and matrices
| Rates of change and differential equations
|
Introduction to proof | Matrices
| Complex numbers 2
| Statistical inference
|
Assessment
In Units 1 and 2 students complete 4 formative assessments with an overall subject result (A-E). In Units 3 and 4 students complete four summative assessments. The results from each of the assessments are added together to provide a subject score out of 100. Students will also receive an overall subject result (A–E).
Summative assessment
Summative internal assessment 1 (IA1): Problem-solving and modelling task | 20% | Summative internal assessment 3 (IA3): Examination | 15% |
Summative internal assessment 2 (IA2): Examination | 15% |
Summative external assessment (EA): 50%
Examination |
