Advanced Mathematics

Year 10 Year Long Subject

Course Description

The Advanced Mathematics is a year-long subject. It is designed to prepare students for the rigorous demands of Mathematical Methods and Specialist Mathematics in VCE. This subject aims to reinforce and extend the Level 10A  Victorian Curriculum course and to expose students to a carefully selected subset of concepts from Year 11 Mathematical Methods. This subject covers the content that is assumed knowledge for students aiming to study Mathematical Methods and Specialist Mathematics in VCE. Students will be utilising Scientific and  CAS Ti-Nspire calculators.

On completion of this semester students will be able to progress through the Victorian Curriculum strands of:  

Number and Algebra

On completion of this strand of mathematics, students extend their use of mathematical models to a wide range of familiar and unfamiliar contexts, involving the use of all types of real numbers. Students apply mental, written or technology-assisted forms of computation as appropriate, and routinely use estimation to validate or provide bounds for their answers. 

Measurement and Geometry

On completion of this strand of mathematics, students develop the skills of solving problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids. Establish the sine, cosine and area rules for any triangle and solve related problems. Use the unit circle to define trigonometric functions as functions of a real variable, and graph them with and without the use of digital technologies. 

Statistics and Probability

On completion of this strand of mathematics, students develop the skills of calculate and interpret the mean and standard deviation of data and use these to compare data sets. Investigate the effect of individual data values including outliers, on the standard deviation. Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence.

Assessment Tasks Semester 1

Assessment Tasks Semester 2

Pathways into VCE

Students are also be able to pathway into General Maths, Foundation Maths or VM Numeracy from Advanced Maths.

Textbook requirements:

Resources/Requirements: 

Career Pathways

What Careers this could lead to:

Accountants, Economists, Stockbrokers, Aircraft Personnel, Engineer, Surveyors, Banking, Insurance Assessors, Teachers, Construction Manager, Nurses, Tertiary Lecturer, Business Management, Pharmacist, Town Planners, Computer Programmers, Psychologists, Dentists, Scientists, Doctors, Statisticians.