Mathematics at Rochester Independent
Rochester Independent | Ages 13 – 17
It is said that Mathematics is the study of every possible pattern which can exist. As such, Mathematics is a broad subject with a wide application in both professional and academic fields. Through the study of Maths, students will learn the subject-specific language that is an essential component not only for future study in Mathematics, but also in Natural Sciences (i.e. Chemistry, Physics, Astronomy and Biology) as well as Formal Sciences (i.e. Logic, Statistics, and Robotics). It is also essential to have an advanced level in Mathematics in order to study Engineering and Computer Sciences, in addition to many other scientific subjects.
Students will focus on developing their language skills in a way that allows them to work with both Pure and Applied Mathematics. Pure Mathematics is the study of mathematics in the abstract; how numbers and calculations can be analysed to reveal their fundamental elements. Applied Mathematics is how we can use numbers and calculations in real-world situations, such as in science, medicine and engineering. Subjects studied include: Graph Theory, Algorithms, Tessellations, Group Theory, Fractals, Complex Numbers, Fibonacci and the Golden Ratio, Conic Sections, Kinematics, Codes, Ciphers and Probability.
Each week our Mathematics students will work together to participate in a research and presentation project. They will all have the opportunity to give presentations based on their own research, and participate in fun and collaborative class competitions.
By studying in a student-centred environment, and through a focus on developing 21st century skills, our Mathematics students can return home with an introductory understanding of the basics of Higher Mathematics, better confidence in their communication and presentation skills and with greater motivation to apply these skills to their future learning.
Graph Theory is the study of the mathematical nature of a network. As such, it is used widely in academic and professional fields, from analysing atomic bonds in chemistry to measuring trends in sociological studies. This module introduces graph theory through fun and engaging mathematical riddles, such as the The 7 Bridges of Konigsberg and The Birthday Paradox.
Mathematics can be said to be the study of every pattern which may possibly exist. Fractals, specifically, is the study of patterns in mathematics. In this module, fractals are analysed through the study of Pascal and Sierpinksi’s triangles, the Mandelbrot set and The Golden Ratio.
Calculus is widely used to make predictive models in many scientific fields, from the calculations involved in the engineering of bridges to the taking of vital measurements in medicine. This module analyses calculus through examining the interrelationship between speed, distance and time, via the field of kinematics.
Modules are given for example purposes and are subject to change.
