Mathematics Specialist (Units 1 & 2) - ATAR

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Course Code:
University Pathway
Year 10 GAT/ SBAE/ Extension B grade/ Exam 75%
Course Description:
The Year 11 syllabus is divided into two units, each of one semester duration, which are typically delivered as a pair.
The notional time for each is 55 class contact hours.
Unit 1 contains the three topics:
a) Combinatorics
b) Vectors in the plane
c) Geometry
The three topics in Unit 1 complement the content of the Year 11 Mathematics Methods ATAR course. The proficiency strand of Reasoning, from the Year 7-10 curriculum, is continued explicitly in the topic Geometry through a discussion of developing mathematical arguments. This topic also provides the opportunity to summarise and extend the students’ studies in Euclidean Geometry, knowledge which is of great benefit in the later studies of topics such as vectors and complex numbers. The topic Combinatorics provides techniques that are very useful in many areas of mathematics, including probability and algebra. The topic Vectors in the plane provides new perspectives on working with two-dimensional space and serves as an introduction to techniques which can be extended to three-dimensional space in Unit 3 (Year 12). These three topics considerably broaden students’ mathematical experience and therefore begin an awakening to the breadth and utility of the subject. They also enable students to increase their mathematical flexibility and versatility.
Unit 2 contains the three topics:
a) Trigonometry
b) Matrices
c) Real and complex numbers
In Unit 2, Matrices provide new perspectives for working with two-dimensional space and real and complex numbers provides a continuation of the study of numbers. The topic Trigonometry contains techniques that are used in other topics in both this unit and Units 3 and 4 (Year 12). All topics develop students’ ability to construct mathematical arguments. The technique of proof by the principle of mathematical induction is introduced in this unit.
Course Assessment:
Response - 40%
Investigation - 20%
Examination - 40%
Further Study:
Mathematics Specialist (Units 3 & 4) - ATAR
Additional Information:
The Mathematics Specialist ATAR course has been designed to be taken in conjunction with the Mathematics Methods ATAR course. The Mathematics Specialist ATAR course is designed for students with a strong interest in mathematics, including those intending to study mathematics, statistics, all sciences and associated fields, economics or engineering at university.