Mathematical Methods Unit 1 and 2
An average performance of C or above in Year 10 Mathematics A.
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
- Solution of equations of functions listed below.
- Review of algebraic processes.
- Numeric approximations to solving equations.
- 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.
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.
|Define and explain the key concepts and be able to apply a range of related mathematical routines and procedures.
|Apply mathematical procedures in non-routine contexts and to analyse and discuss these applications of mathematics.
|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