Year 12 Mathematical Methods
(Units 3 & 4)

COURSE OUTLINE

This course is appropriate for students who have already completed Mathematical Methods 1 and 2. This course is a suitable prerequisite for science; engineering and commerce based tertiary studies. Students develop their knowledge and skills in solving and graphing a variety of functions, using calculus to determine specific characteristics of graphs and rates of change, and apply their understanding to calculate and interpret probability and statistical analysis of different situations. 

• Functions, Relations and Graphs
  This Area of Study covers the key features and transformations of a variety of polynomial, power, exponential and logarithmic, as well as trigonometric functions. 

• Algebra, Number and Structure
  This Area of Study covers factorising and solving a variety of equations such as simultaneous equations and those covered in Area of Study 1. Students will also explore the inverse and composition of functions. 

• Calculus
  This Area of Study investigates rates of change and explores differentiation and application of the gradient function, including use of the chain, product and quotient rules. Students will determine the antiderivatives of functions and apply this to calculations of the area under a graph. 

• Data Analysis, Probability and Statistics
  This Area of Study covers calculating the probabilities of discrete and continuous random variables, focusing on the application and interpretation of probability and statistical problems. 

OUTCOMES

Outcome 1: 

Students will be able to define and apply concepts to routine problems correctly.

Outcome 2:

Students will be able to apply concepts and techniques to non-routine problems that investigative, modelling or problem-solving techniques. Students will also be able to analyse and discuss their findings.

Outcome 3:

Students will be able to apply computational thinking and use appropriate technology effectively to solve problems.

ASSESSMENT 

• Unit 3 School-assessed Coursework: 20%

• Unit 4 School-assessed Coursework: 20%

• Units 3 and 4 Examination 1: 20%

• Units 3 and 4 Examination 2: 40%

SPECIAL ARRANGEMENTS/EQUIPMENT 

Students require a TI nspire CAS calculator