Barrenjoey High School

Objectives

Students will develop:

HSC Outcomes

A student:

1. appreciation of the scope, usefulness, beauty and elegance of mathematics;

E1 appreciates the creativity, power and usefulness of mathematics to solve a broad range of problems.

2. the ability to reason in a broad range of mathematical contexts;

E2 chooses appropriate strategies to construct arguments and proofs in both concrete and abstract settings.

3. skills in applying mathematical techniques to the solution of practical problems;

E3 uses the relationship between algebraic and geometric representations of complex numbers and of conic sections;

E4 uses efficient techniques for the algebraic manipulation required in dealing with questions such as those involving conic sections and polynomials;

E5 uses ideas and techniques from calculus to solve problems in mechanics involving resolution of forces, resisted motion and circular motion.

4. understanding of the key concepts of calculus and the ability to differentiate and integrate a range of functions;

E6 combines the ideas of algebra and calculus to determine the important features of the graphs of a wide variety of functions;

E7 uses the techniques of slicing and cylindrical shells to determine volumes;

E8 applies further techniques of integration, including partial fractions, integration by parts and recurrence formulae, to problems.

5. the ability to interpret and communicate mathematics in a variety of forms.

E9 communicates abstract ideas and relationships using appropriate notation and logical argument.