Contents

## Description

Mathematical Methods Units 1- 4 introduces students to more advanced mathematical concepts and how these can be applied to real life situations.

## Unit Topics

Unit 1 – Mathematical Methods

• Functions, relations and graphs (graphical representation of simple algebraic models, domain and range of graphs, graphs of polynomial functions)
•  Algebra, number and structure (symbolic notation to develop algebraic expressions, functions, equations and relations)
• Calculus (constant and average rate of change)
• Data analysis, probability and statistics (outcomes, trials, probability, Venn diagrams)

Unit 2 – Mathematical Methods

• Functions, relations and graphs (circular, exponential and logarithmic functions)
• Algebra, number and structure (transformations on the plane,)
• Calculus (differentiation and antidifferentiation of polynomial functions)
• Data analysis, probability and statistics (conditional probability, complementary, mutually exclusive, conditional and independent events)

Unit 3 and 4 – Mathematical Methods

• Functions, relations and graphs (graphs of polynomials, exponentials, circular functions, logarithms)
• Algebra, number and structure (composition of functions, inverse functions, solution of equations)

Assessment tasks for Unit 1 and 2 (CAS calculator required)

UnitsAssessment tasks for Unit 1 and 2 could include; assignments, tests, solutions to worked questions, summary/review notes, modelling tasks, problem-solving tasks, and mathematical investigations. These will involve the appropriate use of technology. All assessments for Units 1 and 2 are school- based, procedures for assessment of levels of achievement in Units 1 and 2 are a matter for school decision.

Assessment Units 3 and 4 (CAS calculator required)

Unit 3 School-assessed Coursework will contribute 20% to the study score and Unit 4 School-assessed Coursework will contribute 20% to the study score. Level of achievement is also assessed by two end-of-year examinations; Exam 1, 1.0 hour duration, no technology or notes of any kind, and contributes 20% to the study score. Exam 2, 2.0 hours CAS calculator and bound reference permitted,and contributes 40% to the study score. Overall exams contribute 60% of the study score.

## Career Options

Highly recommended for students considering future studies in; Engineering, Sciences, Information Technology , Business, Law and Medicine and related courses. (NOTE: at time of writing Tertiary Education have not indicated what level of Mathematics is required for specific courses for 2025 entry)

Year 11 & 12