Curriculum information of Carey Baptist Grammar School

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PATHWAYS

2019

 
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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