Mathematics Advanced

Year 12 MATHEMATICS ADVANCED 2025

Starting Term 4 (2024) and ending Term 3 2025, students will complete the HSC Mathematics Advanced courses.  It is a NESA requirement for students studying these courses to complete all assessment Tasks 1 to 4 for the Mathematics Advanced course. It is the aim of this program that students in 2025 will sit the HSC Examination in Mathematics Advanced.

Students will be required to be self-directed in their learning and ensure any assistance needed is promptly sought from his/her teacher.

To be successful candidates in this course, students are expected to have a solid understanding of the Preliminary Mathematics Advanced course; this is a pre-requisite for success in these courses. In addition, it should be noted that the content from the Preliminary courses may contribute up to 35% of the HSC examination.

     TERM 4 -  Graphing Techniques, Trigonometric Functions and Graphs, Data (grouped and ungrouped) and Summary Statistics.

The first unit Graphing Techniques allows students to become more familiar with the key features of graphs. They will develop an understanding of the effect of changing the parameters of a general equation in relation to transformations of the graph. Students will identify the five basic functions: polynomials, reciprocal, absolute value, exponential and logarithmic functions. Students will investigate graphs and determine horizontal and vertical shifts, asymptotes and concavity. They will consider the restrictions to the domain and range of graphs and sketch and use graphing software to determine the number of solutions for a function.

Next, students will dive into the Trigonometric Functions and Graphs unit. They will explore sine, cosine and tangent functions, learning about their properties and applications. Understanding these trigonometric functions reveals periodic phenomena such as sound waves and students will learn about amplitude, frequency and phase shifts. This unit will build mathematical proficiency and foster critical thinking and analytical skills for future careers.

The last unit for the year is Data (grouped and ungrouped) and Summary Statistics, where students will classify and organise data so that it may be analysed and interpreted. They will learn to display data in Pareto charts and cumulative frequency graphs. By summarising grouped and ungrouped data through graphs and summary statistics, students will gain an insight into measures of central tendency and spread. Students will investigate outliers in data and interpret their significant impact on the data. 

In Term 4, students will complete their first HSC assessment for the Mathematics Advanced Course. It contributes 15% of the overall assessment for the course.