Extension Mathematics
KLA: MATHEMATICS
Embedded Files
Extension Mathematics - 1 Unit in the Preliminary Year
HSC Year - 1 Unit (Extension 1), 2 Units (Extension 1 & 2)
Extension Mathematics - 1 Unit in the Preliminary Year
HSC Year - 1 Unit (Extension 1), 2 Units (Extension 1 & 2)
[Board Developed Course]
[Board Developed Course]
Exclusions: Students may not study the Stage 6 Preliminary Standard Mathematics course in conjunction with the Preliminary Mathematics Advanced & Extension courses, or the Stage 6 HSC Standard Mathematics course in conjunction with the HSC Mathematics Advanced & Extension course.
Exclusions: Students may not study the Stage 6 Preliminary Standard Mathematics course in conjunction with the Preliminary Mathematics Advanced & Extension courses, or the Stage 6 HSC Standard Mathematics course in conjunction with the HSC Mathematics Advanced & Extension course.
Course Description:
Course Description:
The content of this course and its depth of treatment indicate that it is intended for students that have a pronounced interest in Mathematics and have demonstrated a high level of competence in the Stage 5.3 pathway, having attained an A grade in the Year 10 course. The course is intended to give these students a thorough understanding of and competence in aspects of mathematics, including many which are applicable to the real world.
The course is a recommended minimum basis for further studies in mathematics as a major discipline at a tertiary level, and for the study of mathematics in support of the physical and engineering sciences. Although the course is sufficient for these purposes, students of outstanding mathematical ability should consider undertaking the Mathematics Extension 2 course.
The Extension Mathematics course is part of a continuum of courses that provide opportunities at progressively higher levels for students to acquire knowledge, skills and understanding in relation to concepts within the area of mathematics that have applications in an increasing number of contexts. These concepts and applications are appropriate to the students’ continued experience of mathematics as a coherent, interrelated, interesting and intrinsically valuable study that forms the basis for future learning. The introductory concepts and techniques of differential and integral calculus form a strong basis of the courses, and are developed and used through a range of applications.
Extension courses are studied concurrently with the Mathematics Advanced Course. This gives students the option of:
3 units of Mathematics in the Preliminary year
3 units or 4 units of Mathematics in the HSC year
Preliminary Course - Category A - 1 Unit
Preliminary Course - Category A - 1 Unit
[Board Developed Course]
[Board Developed Course]
This course must be studied in conjunction with the Advanced Mathematics course, giving students a total of 3 units of Mathematics in the Preliminary year.
This course must be studied in conjunction with the Advanced Mathematics course, giving students a total of 3 units of Mathematics in the Preliminary year.
For students who intend to study the Mathematics Extension course, it is recommended that they achieve at the highest levels of the Year 10 course and have completed the Stage 5.3 optional topics of: Curve Sketching and Polynomials, Functions and Logarithms, and Circle Geometry.
For students who intend to study the Mathematics Extension course, it is recommended that they achieve at the highest levels of the Year 10 course and have completed the Stage 5.3 optional topics of: Curve Sketching and Polynomials, Functions and Logarithms, and Circle Geometry.
Main Topics Covered
Main Topics Covered
The topics that are studied in the Preliminary Course are:
Functions
Further work with Functions
Graphical Relationships
Inequalities
Inverse Functions
Parametric form of a function or relation
Polynomials
Remainder and factor theorems
Sum and products of roots of polynomials
Trigonomic Functions
Inverse Trigonometric Functions
Further Trigonometric Identities
Calculus
Rates of Change
Rates of change with respect to time
Exponential growth and decay
Related rates of change
Combinatorics
Working with Combinatorics
Permutations and combinations
The binomial expansion and Pascal’s triangle
The textbook that is used at Marian Catholic College is the Pearson Publication: New Senior Mathematics Extension Years 11 & 12.
Assessment: Preliminary Course Only
Assessment: Preliminary Course Only
Students in the Preliminary Extension course are assessed through the use of:
Formal assessment tasks, as outlined in the assessment booklet
Informal assessment tasks: homework, classwork and discussion, topic tests, quizzes…
Formal Assessment
The following formal assessment is completed by students in the Extension Mathematics course. This allows students to demonstrate their competence in the outcomes that are being assessed by the task.
Task 1
In-class Assessment (Test) (30%)
Task 2
Investigation/Assignment (30%)
Task 3
End of Preliminary Examination (40%)
Informal Assessment
Informal assessment occurs regularly in the classroom through the use of discussions, exercises, quizzes, homework tasks and smaller topic tests.
Students can use this assessment to help track their progression during the learning phase, so that they are able to monitor and address any weaknesses that they may have. This means that students are able to make changes to improve their results and learning.
Teachers use this assessment to plan learning activities and monitor student understanding and engagement. This allows for teachers to build a more comprehensive picture of the student as a learner in the Mathematics course.
Continuation to the HSC
Continuation to the HSC
Students who attain a Band 1, 2 or 3 are advised to cease the study of the Extension Mathematics course and complete the Advanced course only.
Students who attain a Band 4, 5 or 6 are advised to complete the HSC Extension 1 course whilst those who have attained the highest bands should consider the study of the HSC Extension 2 course.
Page updated
Report abuse