## Unit description of WACE Maths Applications Unit 2 Year 11 ATAR Course

WACE Maths Applications Unit 2 Year 11 ATAR Course has three topics:

- Univariate data analysis and the statistical process,
- Linear equations and their graphs, and
- Applications of trigonometry.

**Univariate data analysis and the statistical process** develops students’ ability to organise and summarise univariate data in the context of conducting a statistical investigation.

**Linear equations and their graphs** uses linear equations and straight-line graphs, as well as linear-piecewise and step graphs to model and analyse practical situations.

**Applications of trigonometry** extends students’ knowledge of trigonometry to solve practical problems involving non-right- angled triangles in both two and three dimensions, including problems involving the use of angles of elevation and depression and bearings in navigation.

Classroom access to the technology necessary to support the graphical, computational and statistical aspects of this unit is assumed.

## Learning outcomes of WACE Maths Applications Unit 2 Year 11 ATAR Course

By the end of this unit, students:

- understand the concepts and techniques used in univariate data analysis and the statistical process, linear equations and their graphs, and applications of trigonometry
- apply reasoning skills and solve practical problems in univariate data analysis and the statistical process, linear equations and their graphs, and the applications of trigonometry
- implement the statistical investigation process in contexts requiring the analysis of univariate 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 answers to statistical questions
- choose and use technology appropriately and efficiently.

*referred from Mathematics Applications ATAR Course Year 11 Syllabus Western Australia School Curriculum and Standards Authority 1 January 2015*

#### Trigonometry

- True Bearings
- Finding Trigonometric Ratio of an Obtuse Angle
- Finding an Obtuse Angle from a Trigonometric Ratio
- Finding an unknown side using Sine Rule
- Finding the Area of a Triangle
- Applications of Finding the area of a triangle
- Applications of Finding the area of a triangle
- Finding an unknown side using Cosine Rule
- Finding an unknown angle using Cosine Rule
- Area of a Triangle : Heron's Formula

#### Linear Relationships

- Tables of Values
- Find the Rule
- Finding Rules for Number Patterns
- Gradient Formula
- Sketching the Graphs using X- and Y-Intercepts
- Distance Between two Points
- Simultaneous Equations: Equation Method
- Simultaneous Equations: Substitution Method
- Simultaneous Equations: Basic Elimination Method
- Simultaneous Equations: Advanced Elimination Method
- Undefined or All Real Values
- Simultaneous Equations and Graphs
- Applications of Simultaneous Equations
- Direct Proportion