Mathematics Extension 2
KLA: MATHEMATICS
Embedded Files
Course Description:
Course Description:
Mathematics Extension 2 provides students with the opportunity to develop strong mathematical manipulative skills and a deep understanding of the fundamental ideas of algebra and calculus, as well as an appreciation of mathematics as an activity with its own intrinsic value, involving invention, intuition and exploration. Mathematics Extension 2 extends students’ conceptual knowledge and understanding through exploration of new areas of mathematics not previously seen.
The course is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject. The course offers a suitable preparation for study of mathematics at tertiary level, as well as a deeper and more extensive treatment of certain topics than is offered in other mathematics courses. It represents a distinctly high level in school mathematics involving the development of considerable manipulative skill and a high degree of understanding of the fundamental ideas of algebra and calculus. These topics are treated in some depth. Thus, the course provides a sufficient basis for a wide range of useful applications of mathematics as well as an adequate foundation for the further study of the subject
HSC Extension 2 - Category A - 1 Unit
HSC Extension 2 - Category A - 1 Unit
[Board Developed Course]
[Board Developed Course]
The Extension 2 course must be studied in conjunction with the HSC Advanced Mathematics and Extension 1 courses. This will give students a total of 4 units of Mathematics at the HSC level.
The Extension 2 course must be studied in conjunction with the HSC Advanced Mathematics and Extension 1 courses. This will give students a total of 4 units of Mathematics at the HSC level.
Main Topics Covered
Main Topics Covered
Proof
The Nature of Proof
Further Proof by Mathematical Induction
Vectors
Further work with vectors
Introduction to three-dimensional vectors
Further operations with three-dimensional vectors
Vectors and vector equations of lines
Complex Numbers
Introduction to Complex Numbers
Arithmetic of Complex Numbers
Geometric representation of a complex number
Other representations of complex numbers
Using Complex Numbers
Solving equations with complex numbers
Geometrical implications of complex numbers
Calculus
Further Integration
Mechanics
Applications of Calculus to Mechanics
Simple Harmonic Motion
Modelling motion without resistance
Resisted motion
Projectiles and resisted motion
The textbook that is used at Marian Catholic College is the Pearson Publication: New Senior Mathematics Extension Years 11 & 12.
Assessment: HSC Extension 2 Course Only
Assessment: HSC Extension 2 Course Only
Students in the HSC Extension 2 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 2 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) (25%)
Task 2
Investigation/Assignment (20%)
Task 3
In-class Assessment (Test) (25%)
Task 4
Trial Exam (30%)
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.
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