Extended Mathematics - Year 10

Mandatory: No

Duration: Full year

Description

This course aims to instill in students an appreciation of the elegance and power of mathematical reasoning. It supports students to develop a deep understanding of the mathematical concepts, in preparation for rigorous mathematics courses in stage 1 and 2.

Students are expected to choose this subject if they wish to study the following course.

• Two semesters of stage 1 General Mathematics, followed by stage 2 General or Essential Mathematics.
• Two semesters of stage 1 Mathematics, A and B, followed by stage 2 Mathematical Methods or General Mathematics.
• Three semesters of stage 1 Mathematics, A, B and C, followed by stage 2 Mathematical Methods and Specialist Mathematics.

The topics covered in this course place a greater emphasis on Algebra and algebraic reasoning and include the following.

• Number and Algebra: impact of approximation on calculations, expanding and simplifying expressions, linear equations and inequalities, growth and decay functions, using digital tools to solve modelling problems, making and proving conjectures.
• Measurement and Space: trigonometry, right and non-right angled triangles, similarity and congruence proofs, surface area and volume of complex 3d shapes.
• Statistics and Probability: analysing claims, inferential statistics, bias, statistical investigations, conditional probability, chance experiments.

Assessment includes tests as well as a Mathematical investigation each semester.

Notes

In year 10 students can choose one of two courses in Mathematics: Extended Mathematics or General Mathematics. The choice of subject is based on their future pathway and results in year 9 and is made in consultation with their Mathematics teacher.