## Unit description of WACE Maths Applications Unit 3 Year 12 ATAR Course

WACE Maths Applications Unit 3 Year 12 ATAR Course has 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.

Classroom access to technology to support the graphical and computational aspects of these topics is assumed.

## Learning outcomes of WACE Maths Applications Unit 3 Year 12 ATAR Course

By the end of this unit, students:

- understand the concepts and techniques in bivariate data analysis, growth and decay in sequences and graphs and networks
- apply reasoning skills and solve practical problems in bivariate data analysis, growth and decay in sequences and graphs and networks
- implement the statistical investigation process in contexts requiring the analysis of bivariate data
- communicate their arguments and strategies, when solving mathematical and statistical problems, using appropriate mathematical or statistical language
- interpret mathematical and statistical information and ascertain the reasonableness of their solutions to problems and their answers to statistical questions
- choose and use technology appropriately and efficiently.

*referred from Mathematics Applications ATAR Course Year 12 Syllabus Western Australia School Curriculum and Standards Authority 1 January 2015*

#### Bivariate Data

- Categorial Variables
- Quantitative or Numerical Variables
- Distribution using the Diagrams
- Calculating the Mean
- Mean from UnGrouped Data
- Mean from Grouped Data
- Calculating the Median
- Median from a Table
- Range
- Interquartile Range
- Calculating the Standard Deviation
- Distribution using the Diagrams
- Changing the Value of Mean and Standard Deviation