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Unit 1: Specialist Mathematics
In Unit 1, students are introduced to proof, including direct proof, contradiction, contrapositive, and induction. They study Boolean algebra, algorithms and pseudocode, counting techniques, sequences and series, and graph theory.
Areas of Study:
● AOS 1: Algebra, number and structure - Proof and number, Graph
Theory, Logic and algorithms
● AOS 2: Sequences and series, Combinatorics,Matrices
Unit 2: Specialist Mathematics
In Unit 2, students apply techniques in algebra, arithmetic, matrices, vectors, graphs, and algorithms, with and without technology. They study probability concepts including sampling and random variables, trigonometric identities, vectors and their applications, and graphical representations of functions and data, including conics and reciprocal functions.
Areas of Study:
● AOS 1: Data analysis, probability & statistics
● AOS 2: Space and measurement
● AOS 3: Algebra, number and structure
● AOS 4: Functions, relations and graphs
Unit 3: Specialist Mathematics
In Unit 3, students apply mathematics to real-world contexts through data analysis, probability, statistics, and discrete mathematics. They investigate data distributions, relationships between variables, linear modelling, and time series data. Students also study financial mathematics including depreciation, loans, compound interest, annuities, and investments.
Areas of Study:
● AOS 2: Functions, relations and Graphs
● AOS 3: Algebra, number and structure
● AOS 5: Space and Measurement
Unit 4: Specialist Mathematics
In Unit 4, students apply matrices and network methods to solve practical problems including permutations, communication, and matrix operations. They also study transition matrices and use graphs and networks to model optimisation problems such as shortest paths, flow, matching, scheduling, and critical path analysis.
Areas of Study:
● AOS 1: Logic and Proof
● AOS 4: calculus
● AOS 6: Data analysis, probability and statistics
Study Score Contribution
Unit 3 Assessments 20%
Unit 4 Assessments 20%
End of Year Exam 1 20%
End of Year Exam 2 40%
CAREERS
VCAA STUDY DESIGN - LINK
REQUIRED RESOURCES :
Textbook per booklist
Workbook and logbook
A CAS TI Nspire Calculator
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