Year 12 Mathematics Applications ATAR
This is an ATAR course which focuses on the use of mathematics to solve problems in contexts that involve financial modelling, geometric and trigonometric analysis, graphical and network analysis, and growth and decay in sequences. It also provides opportunities for students to develop systematic strategies based on the statistical investigation process for answering questions that involve analysing univariate and bivariate data, including time series data.
Unit 3
This unit includes the following three topics; bivariate data analysis; growth and decay in sequences; and graphs and networks.
'Bivariate data analysis' introduces students to some methods for identifying, analysing and describing associations between pairs of variables, including the use of the least-squares method as a tool for modelling and analysing linear associations. The content is to be taught within the framework of the statistical investigation process.
'Growth and decay in sequences' employs recursion to generate sequences that can be used to model and investigate patterns of growth and decay in discrete situations. These sequences find application in a wide range of practical situations, including modelling the growth of a compound interest investment, the growth of a bacterial population, or the decrease in the value of a car over time. Sequences are also essential to understanding the patterns of growth and decay in loans and investments that are studied in detail in Unit 4.
'Graphs and networks' introduces students to the language of graphs and the ways in which graphs, represented as a collection of points and interconnecting lines, can be used to model and analyse everyday situations, such as a rail or social network.
Unit 4
This unit includes the following three topics: time series analysis; Loans, investments and annuities; and networks and decision mathematics.
'Time series analysis' continues students' study of statistics by introducing them to the concepts and techniques of time series analysis. The content is to be taught within the framework of the statistical investigation process.
'Loans investments and annuities' aims to provide students with sufficient knowledge of financial mathematics to solve practical problems associated with taking out or refinancing a mortgage and making investments.
'Networks and decision mathematics' uses networks to model and aid decision making in practical situations.
Assessments
Assessment will include investigations: 20% | tests: 40% | examinations: 40%.
Reporting
A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade as well as a percentage mark for the course and an examination mark for both Semester 1 and the year. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.
Student Expectations
Students are expected to:
- bring the required text, calculator and stationery to each lesson
- complete regular homework from a variety of sources including the text, worksheets and MathsOnline
- be aware of assessment dates and have prepared thoroughly for each assessment
- be proactive in seeking help from the teacher when required.
