Mathematics Advanced

 This course is for students who are good at Mathematics. It includes Calculus and is general a prerequisite for most Uni courses such as Science, Law, Business degrees. 2 units for each of Year 11 and Year 12 Board Developed Course.

Prerequisites: The Mathematics Advanced Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Years 7–10 Syllabus and in particular, the content and outcomes of all substrands of Stage 5.1 and Stage 5.2, and the following substrands of Stage 5.3:

·         Algebraic techniques

·         Surds and indices

·         Equations

·         Linear relationships

·         Trigonometry and Pythagoras’ theorem

·         Single variable data analysis

and at least some of the content from the following substrands of Stage 5.3:

·         Non-linear relationships

·         Properties of Geometrical Shapes.

Exclusions:  Students may not study the Mathematics Standard Year 11 course in conjunction with the Mathematics Advanced Year 11 course, or either the Mathematics Standard 1 Year 12 course or the Mathematics Standard 2 Year 12 course in conjunction with the Mathematics Advanced Year 12 course.

Cost of Course: $20

Course Description

The Mathematics Advanced course is a calculus-based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality. The course provides students with the opportunity to develop ways of thinking in which problems are explored through observation, reflection and reasoning.

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.

All students studying the Mathematics Advanced course will sit for an HSC examination.

What students learn

The study of Mathematics Advanced in Stage 6:

·         enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely

·         provides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needs

·         provides opportunities for students to develop ways of thinking in which problems are explored through observation, reflection and reasoning

·         provides a basis for further studies in disciplines in which mathematics and the skills that constitute thinking mathematically have an important role

·         provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in a range of disciplines at the tertiary level.

Year 11 course

The Mathematics Advanced Year 11 course content comprises five Topics, with the Topics divided into Subtopics.

Topic: Functions

·         Working with Functions

Topic: Trigonometric Functions

·         Trigonometry and Measure of Angles

·         Trigonometric Functions and Identities

Topic: Calculus

·         Introduction to Differentiation

Topic: Exponential and Logarithmic Functions

·         Logarithms and Exponentials

Topic: Statistical Analysis

·         Probability and Discrete Probability Distributions

Year 12 course

The Mathematics Advanced Year 12 course content includes four of the same Topics and the Topic ‘Financial Mathematics’ in place of ‘Exponential and Logarithmic Functions’.

Topic: Functions

·         Graphing Techniques

Topic: Trigonometric Functions

·         Trigonometric Functions and Graphs

Topic: Calculus

·         Differential Calculus

·         The Second Derivative

·         Integral Calculus

Topic: Financial Mathematics

·         Modelling Financial Situations

Topic: Statistical Analysis

·         Descriptive Statistics and Bivariate Data Analysis

·         Random Variables

ASSESSMENT: YEAR 12 Course only

External Assessment

All students studying Mathematics Advanced will sit for a YEAR 12 examination. The examination length will be 3 hours, incorporating objective response written short answer responses. NESA approved calculators, geometrical instruments and approved geometrical templates may be used.

Internal Assessment                                                                                                                    Weighting

The objectives of the course are grouped into two components;

· Understanding, fluency and communication                                                                 50%

· Problem solving, reasoning and justification                                                               50%

                                                                                                                                                             100%

The Year 12 formal school-based assessment program is to reflect the following requirements:

• a maximum of four assessment tasks

• the minimum weighting for an individual task is 10%

• the maximum weighting for an individual task is 40%

• one task may be a formal written examination with a maximum weighting of 30%

• one task must be an assignment or investigation-style with a weighting of 15–30%.

Text:  Yes

Must have calculator

  Contact: Mr Dean Lappas- Head Teacher