CHS SUBJECT SELECTION - Mathematics Problem Solving

Problem Solving with Mathematics

Do you have a passion for Mathematics or seek to extend your capabilities in this discipline?

Then come join us on an exciting journey of exploration and discovery as we unlock the secrets of matrices, the beauty of geometry, and a world of mathematical problem-solving through a rich and stimulating learning experience.

You will engage in a variety of activities, including individual and group problem-solving exercises, discussions, and interactive simulations, as well as the AMT Enrichment Program.

By working collaboratively with your peers, you will develop communication and teamwork skills while exploring the diverse aspects of mathematical problem-solving.

Strong problem solving and critical thinking skills will support the development of your capacity to engage with the higher level Mathematics Courses in Stage 6.

What you will learn about:

Matrices:

The course begins by introducing the fundamental concepts and operations related to matrices. You will explore the properties of matrices, matrix addition, multiplication, and inverses, and their applications in solving systems of linear equations.

(Did you know that AI would not exist without Matrices?)

Geometry:

Next, we delve into the captivating world of geometry, where you will uncover the inherent beauty and practical applications of geometric principles. We will explore different branches of geometry, including Euclidean, projective, and non-Euclidean geometries, and examine how these concepts contribute to problem-solving strategies.

AMT Gauss Enrichment Program:

This program requires students to solve a range of problems and comes with a text which guides students through concepts including:

· Similarity and Congruence

· Extension Applications of Pythagoras’ theorem, including 3-D

· Using spreadsheets

· Diophantine equations

There are 12 problems in all, which will be marked by the teacher using stringent marking guidelines and then submitted to the AMT in October. All students will receive a certificate ranging from participation to High Distinction

Pascals Triangle and Combinatorics:

We will explore the mesmerising symmetry of Pascals’ Triangle and is uses in Combinatorics and binomial expansions, as well as insights into number theory, the study of prime numbers, and the Fibonacci sequence.

Sierpinski's Triangle:

Finally, we take a Triangle at Sierpinski’s Tringle which serves as a gateway to the captivating world of fractals and their diverse manifestations in both mathematics and the broader realm of science and technology.

Equipment required:

Laptop
A4 exercise books
Pens
Highlighters
pencil
Ruler

Career opportunities:

AI
Computer Science
Computer Graphics
Cryptography
Economics
Chemistry
Robotics
Wireless communication
Optics
Animation and much more.

Additional Learning Opportunities:

During Term 2, students will be provided with opportunity to also enter the AMT Mathematics Challenge competition at an additional cost of $27.50.

Course fees:

Registration and text for the Gauss Enrichment Program is $50.

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