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VCE Mathematics

# Mathematical Methods Unit 1 and 2

## Prerequisites

An average performance of C or above in Year 10 Mathematics A.

## Course Description

Mathematical Methods Units 1 and 2 are pre-requisites for Mathematical Methods Units 3 and 4, and for Specialist Mathematics Units 3 and 4.

Mathematical Methods is an intermediate level course designed for students who have a solid understanding of Year 10 Mathematics A content and who are interested in studying courses at a tertiary level which require a basis of mathematics. CAS technology is used throughout the course to support learning and in assessment.

## Areas of Study

Algebra

• Solution of equations of functions listed below.
• Review of algebraic processes.
• Numeric approximations to solving equations.

Calculus

• Average and instantaneous rates.
• Gradient of the tangent function.
• Derivative of simple functions including first principles.
• Applications of differentiation, including stationary points, maximum and minimum problems and straight-line motion.
• Anti-differentiation.

Functions and Graphs

• Definitions and properties of functions.
• Graphs of polynomial and power functions, their transformations and inverses.
• Circular functions, their properties and graphs.
• Exponential functions, their properties and graphs.
• Logarithmic functions and their properties and graphs.

Probability and Statistics

• Elementary and compound events and their representations.
• Addition rule, conditional probability and independent events.
• Addition and multiplication principles for counting.

## Assessment

 Outcomes Assessment Tasks (school-assessed coursework) Define and explain the key concepts and be able to apply a range of related mathematical routines and procedures. Assignments. Summaries. Tests. Apply mathematical procedures in non-routine contexts and to analyse and discuss these applications of mathematics. Modelling tasks. Problem-solving. Mathematical investigations. Use numerical, graphical, symbolic and statistical technology to produce results and carry out analysis in situations involving problem-solving, modelling or investigative techniques. Based on performance in a selection of tasks completed in achieving the outcomes above which incorporate the effective and appropriate use of technology.

## Overall Final Assessment

End of Semester Examination – 1.5 hours.

Information can be obtained from the Victorian Curriculum and Assessment Authority, Victoria, Australia: www.vcaa.vic.edu.au