Maths

Australian Mathematics Competition 2016

The AMC is a major international competition for school students, organised by the Australian Mathematics Trust. It tests everything from basic numeracy skills through to advanced problem-solving. At the senior level it is very demanding.

Sandringham College entered 21 students from Year 11 this year. Seven students achieved a Credit and one student received a Proficiency Certificate. All other students who competed received a Certificate of Participation and every entrant was provided with an individual performance report. The certificates were presented at a school assembly.

We trust that our students found the experience rewarding and that even more students will be encouraged to participate in 2017.

Catherine Pike, Mathematics Domain Leader, Senior Campus

 

Foundation Mathematics 1 & 2

Foundation mathematics offers an opportunity for students to achieve new skills and confidence in using mathematics. The intention of the course is to provide for the continuing mathematical development of students entering VCE who need mathematical skills to support their other VCE studies.

In Foundation Mathematics there is a strong emphasis on using mathematics in practical contexts relating to everyday life, recreation, work and study. These units will be especially useful for students undertaking VET studies. Foundation Mathematics is a terminal course and does not prepare students for Unit 3 & 4 level studies in mathematics.

General Mathematics 1 & 2

This course is designed especially to meet the needs of students with diverse interests and abilities. The course provides an opportunity for students to achieve new skills and confidence in using mathematics. Thus, while students are given classroom instruction in key skills and techniques, the program also includes a significant component of modelling and problem-solving work that emphasises the uses and relevance of mathematics in real world situation.

The appropriate use of technology to support and develop the teaching and learning of mathematics is a feature of the course. General mathematics prepares students for Further Mathematics 3 & 4.

Further Mathematics 3 & 4

Students who have competed General Mathematics 1, 2, Mathematical Methods (CAS) 1, 2 or both would benefit from these units. They provide general preparation for employment or further study, in particular, where data analysis is important. These units cover the topics of Data Analysis, Time Series, Number Patterns, Networks and Business Mathematics.

Appropriate technology is used extensively throughout the course to develop mathematical ideas and carry out analysis in problem solving and modelling activities. The development of skills with ready applications in the real world is also heavily emphasised.

Mathematical Methods (CAS) 1 & 2

This sequence of two units encompasses Probability, Algebra, Functions and Graphs. Students are also introduced to the study of Calculus. Computer Algebra System (CAS) technology is incorporated throughout the unit. Students are expected to be able to apply techniques, routines and processes with and without the use of technology.

It is assumed that students have acquired some capability in the areas of algebra, graphs and probability. This course provides the necessary foundation for the further development of mathematical knowledge in Mathematical Methods (CAS) 3 & 4 and Specialist Mathematics 3 & 4.

Mathematical Methods (CAS) 3 & 4

The topics in this sequence of two units are extensions of those covered in Mathematical Methods (CAS) 1 & 2. Computer Algebra System (CAS) technology is used extensively throughout the course to develop mathematical ideas and carry out analysis in problem solving and modelling activities.

Students are also required to use mental computation and by hand skills in simple cases. Mathematical Methods (CAS) 3 & 4 may be taken alone or in conjunction with either Specialist Mathematics 3 & 4 or Further Mathematics 3 & 4. These units provide an appropriate background for further study in, for example, science, humanities, economics or medicine.

 

Specialist Mathematics 3 & 4

This is an advanced course in mathematics designed for students with a strong interest in mathematics and those who wish to pursue tertiary studies in the fields of Mathematics, Science and/or Engineering. The sequence of two units highlights mathematical structure and proof in the areas of Co-ordinate geometry, Trigonometric functions, Vectors, Algebra, Calculus and Mechanics.

There is a clear emphasis on concept development and the use of logic in developing solutions for problems of both a theoretical and a practical nature. It is assumed that Specialist Mathematics Units 3, 4 is taken in conjunction with Mathematical Methods (CAS) 3 & 4, as the areas of study extend and develop material covered in Mathematical Methods (CAS) 3 & 4.