Stage 2 Mathematical Methods develops an increasingly complex and sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change.
Students use statistics to describe and analyse phenomena that involve uncertainty and variation.
A graphics calculator (preferably the CASIO fx-CG50 AU) is required for this course. It can be purchased from local retailers, or a compatible model may be borrowed from the school if needed.
RECOMMENDED BACKGROUND
20 credits of Stage 1 Mathematical Methods at a C grade or better. A solid understanding of Stage 1 Mathematical Methods content is vital.
CONTENT
Stage 2 Mathematical Methods is a 20-credit subject.
Stage 2 Mathematical Methods focuses on the development of mathematical skills and techniques that enable students to explore, describe, and explain aspects of the world around them in a mathematical way. It places mathematics in relevant contexts and deals with relevant phenomena from the students’ common experiences, as well as from scientific, professional, and social contexts.
The coherence of the subject comes from its focus on the use of mathematics to model practical situations, and on its usefulness in such situations. Modelling, which links the two mathematical areas to be studied, calculus and statistics, is made more practicable by the use of electronic technology.
The ability to solve problems based on a range of applications is a vital part of mathematics in this subject. As both calculus and statistics are widely applicable as models of the world around us, there is ample opportunity for problem-solving throughout this subject.
Stage 2 Mathematical Methods consists of the following six topics:
Students study all six topics. The topics can be sequenced and structured to suit individual groups of students.
ASSESSMENT
Students are assessed using the SACE Performance Standards.
At Stage 2, 70% of the assessment is school-based and externally moderated by the SACE Board, while the remaining 30% is assessed through an external examination marked by the SACE Board.
Students complete one mathematical investigation and six skills and applications tasks.
Students undertake an external examination to assess mathematical understanding from all Stage 2 Mathematical Methods topics studied. The examination requires students to demonstrate knowledge, routine skills and applications, analysis and interpretation. Students provide explanations and arguments, and use correct mathematical notation, terminology, and representations throughout the examination.
Students provide evidence of their learning through seven or eight assessments, as outlined in the Learning and Assessment Plan (LAP):
FUTURE PATHWAYS
Stage 2 Mathematical Methods provides a strong foundation for tertiary study in fields that require a background in mathematics. It is a prerequisite or assumed knowledge for many university courses in mathematics, economics, computer science, and various branches of science.
This subject also supports pathways into health and social sciences, where the understanding and application of statistics is essential. When studied in combination with Specialist Mathematics, Mathematical Methods can open pathways to highly mathematical fields such as engineering, physical sciences, and areas like laser physics, where advanced mathematical skills are essential.
THRIVE • RESPECT • INTEGRITY
