“The human mind has never invented a labor-saving machine equal to algebra” – J. Willard Gibbs
What is Mathematics and why do we study it?
Mathematics is the study of numbers, patterns and shapes. It is an integral part of the K-12 curriculum for Australian students.
“The purpose of mathematics is to teach basic skills; to help children to learn to think logically; to prepare students for a productive life and work; and to develop quantitatively literate citizens.” By Lynn Arthur Steen
Why is Mathematics at Hampton distinct?
The main goals of the Mathematics department are to increase students’ numeracy skills, provide students with a positive attitude towards the study of Mathematics, assist them to achieve their potential and apply mathematics in their everyday life.
The Mathematics Department takes a collaborative approach to course development, review and renewal to ensure that all students achieve outcomes that are consistent with their potential. The staff apply technology in a creative and appropriate manner to enhance and foster deeper understanding and appreciation of mathematics and its applications in real world contexts.
Students can study mathematics at a variety of levels. The courses are designed to maximise the potential of students and engage them in the type of mathematics used in a variety of careers.
All assessments are aligned with the learning outcomes and are intellectually challenging. At all times, assessment process for all courses are rigorous and relevant to course content. Enrichment and extension are embedded into all courses.
Students also have an opportunity to apply mathematical concepts in real-world engineering projects through their participation in the STEM courses offered at Hampton. Here, students have the potential to attend state and national competitions where they can be exposed to a number of careers in the STEM industry and gain useful experience of what it is like to work in a project team.
Senior School Courses – Year 12
This course focuses on the use of mathematics to solve problems in contexts that involve financial modelling, geometric and trigonometric analysis, graphical and network analysis, and growth and decay in sequences. It also provides opportunities for students to develop systematic strategies based on the statistical investigation process for answering statistical questions that involve analysing univariate and bivariate data, including time series data. The Mathematics Applications ATAR course is designed for students who want to extend their mathematical skills beyond Year 10 level, but whose future studies or employment pathways do not require knowledge of calculus. The course is designed for students who have a wide range of educational and employment aspirations, including continuing their studies at university or TAFE.
This course focuses on the use of calculus and statistical analysis. The study of calculus provides a basis for understanding rates of change in the physical world, and includes the use of functions, their derivatives and integrals, in modelling physical processes. The study of statistics develops students’ ability to describe and analyse phenomena that involve uncertainty and variation.
Mathematics Methods provides a foundation for further studies in disciplines in which mathematics and statistics have important roles. It is also advantageous for further studies in the health and social sciences. In summary, this course is designed for students whose future pathways may involve mathematics and statistics and their applications in a range of disciplines at the tertiary level.
This course provides opportunities, beyond those presented in the Mathematics Methods ATAR course, to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively. Mathematics Specialist contains topics in functions and calculus that build on and deepen the ideas presented in the Mathematics Methods course, as well as demonstrate their application in many areas. The Mathematics Specialist course also extends understanding and knowledge of statistics and introduces the topics of vectors, complex numbers and matrices. Mathematics Specialist is the only ATAR mathematics course that should not be taken as a stand-alone course and it is recommended to be studied in conjunction with the Mathematics Methods ATAR course as preparation for entry to specialised university courses such as engineering, physical sciences and mathematics.
The Mathematics Essential General course focuses on using mathematics effectively, efficiently and critically to make informed decisions. It provides students with the mathematical knowledge, skills and understanding to solve problems in real contexts for a range of workplace, personal, further learning and community settings. This course provides the opportunity for students to prepare for post-school options of employment and further training.