# WACE Mathematics Specialist ATAR – Unit 1

1.1 Geometry

1.2 Combinatorics

1.3 Vectors in the plane

Unit 1 of the Mathematics Specialist ATAR course contains three topics: Geometry, Combinatorics and Vectors in the plane, which complements the content of the Mathematical Methods ATAR course. The proficiency strand, Reasoning, of the Year 7–10 curriculum is continued explicitly in Geometry through a discussion of developing mathematical arguments. While these ideas are illustrated through deductive Euclidean geometry, this topic recurs throughout all topics in the Mathematics Specialist ATAR course. Geometry also provides the opportunity to summarise and extend students’ studies in Euclidean Geometry. Understanding this topic greatly benefits the study of later topics in the course, including vectors

and complex numbers.

Combinatorics provides techniques that are useful in many areas of mathematics, including probability and algebra. All topics develop students’ ability to construct mathematical arguments.

Vectors in the plane provide new perspectives for working with two-dimensional space and introduce techniques that will be extended to three-dimensional space in Unit 3.

The three topics considerably broaden students’ mathematical experience and therefore begin awakening to the breadth and utility of the course. They also enable students to increase their mathematical flexibility and versatility.

*Source – Western Australia School Curriculum and Standards Authority 2023*

WACE Mathematics Specialist ATAR Courses

WACE Mathematics Specialist ATAR Syllabus

## Course Content

### Nature of Proof

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