## Unit description of WACE Maths Methods Unit 1 Year 11 ATAR Course

WACE Maths Methods Unit 1 Year 11 ATAR Course begins with a review of the basic algebraic concepts and techniques required for a successful introduction to the study of calculus. The basic trigonometric functions are then introduced. Simple relationships between variable quantities are reviewed, and these are used to introduce the key concepts of a function and its graph. The study of inferential statistics begins in this unit with a review of the fundamentals of probability and the introduction of the concepts of counting, conditional probability and independence. Access to technology to support the computational and graphical aspects of these topics is assumed.

## Learning outcomes of WACE Maths Methods Unit 1 Year 11 ATAR Course

By the end of this unit, students:

- understand the concepts and techniques in algebra, functions, graphs, trigonometric functions, counting and probability
- solve problems using algebra, functions, graphs, trigonometric functions, counting and probability
- apply reasoning skills in the context of algebra, functions, graphs, trigonometric functions, counting and probability
- interpret and evaluate mathematical information and ascertain the reasonableness of solutions to problems
- communicate their arguments and strategies when solving problems.

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

#### Linear Relationships

- Midpoint
- Finding the Equation from the Graphs
- Sketching the Graphs using Gradients
- Sketching the Graphs using X- and Y-Intercepts
- Straight Lines
- Gradient Form (Standard Form)
- Finding the Equation in Gradient Form
- General Form
- Point-Gradient Formula
- Two-Point Formula
- Gradient from Rise and Run
- Gradient from two Points
- Finding the Equation of a Straight Line using the Gradient and a Point
- Finding the Equation of a Straight Line using Two Points
- Parallel Lines
- Perpendicular Lines
- Identifying Parallen Lines
- Application of Parallel Lines
- Perpendicular Bisector
- Further Parallel Lines
- Further Perpendicular Lines