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Unit 1: Mathematical Methods
In Unit 1, students develop their understanding of functions, algebra, rates of change, and probability. They explore function notation, graphs and transformations, solve polynomial and simultaneous equations, investigate gradients and tangents, and apply probability concepts including conditional probability, independent events, and simulations.
Areas of Study:
● AOS 1: Functions, relations & Graphs
● AOS 2: Algebra, number and structure
● AOS 3: Calculus
● AOS 4: Data analysis, probability & statistics
Unit 2: Mathematical Methods
In Unit 2, students extend their knowledge of calculus, trigonometry, exponential and logarithmic functions, and mathematical modelling. They apply algebraic techniques, differentiation and antidifferentiation, investigate the unit circle and trigonometric functions, and use counting principles, combinations, and probability to solve problems.
Areas of Study:
● AOS 1: Functions, relations & Graphs
● AOS 2: Algebra, number and structure
● AOS 3: Calculus
● AOS 4: Data analysis, probability & statistics
Unit 3: Mathematical Methods
In Unit 3, students extend their study of functions, algebra, calculus, probability, and statistics. They investigate transformations, key graph features, limits, continuity, differentiation, and rates of change, applying these concepts to practical and theoretical problems.
Areas of Study:
● AOS 1: Functions and Graphs
● AOS 2: Differential Calculus
Unit 4: Mathematical Methods
In Unit 4, students study anti-differentiation and integration and their applications, including areas under curves, distance, and average values. They also explore random variables, probability distributions, and statistical inference, focusing on interpretation and application in context.
Areas of Study:
● AOS 3: Integral Calculus
● AOS 4: 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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