Year 11 Mathematical Methods
(Units 1 & 2)

COURSE OUTLINE

This course is suitable for able students wishing to pursue higher studies in Mathematics. It is recommended that students have completed 10 Advanced Maths before undertaking this subject. 

Topics include:

Unit 1

• Functions and Graphs: This area covers co-ordinate geometry, relations and functions, graphs of polynomial functions and inverse functions.

• Calculus: This area covers the introduction of average and instantaneous rates of change and the use of gradients of tangents.

• Probability and Statistics: This area covers representing and calculating probabilities of compound events using lists, tree diagrams, Venn diagrams and two way tables including conditional probability.

• Algebra: This area supports the above topics. In Unit One the focus is on solving polynomials and transformations of the plane.

Unit 2 

• Functions and Graphs: This area covers graphs of circular functions, radians and simple applications of sine and cosine graphs. The content also covers applications of logarithm and exponential functions. 

• Calculus: This area covers the first principles approach to differentiation and anti-differentiation of polynomials.

• Probability and Statistics: This area covers permutations and combinations to solve probability questions. 

• Algebra: This area supports the work in the above topics. In Unit Two the focus is on solving simple trigonometric equations and applications of index and logarithm laws.

OUTCOMES

Outcome 1:

Students will be able to define and apply concepts to routine problems correctly.

Outcome 2:

Students will be able to apply concepts and techniques to non-routine problems that investigative, modelling or problem-solving techniques. Students will also be able to analyse and discuss their findings.

Outcome 3:

Students will be able to apply computational thinking and use appropriate technology effectively to solve problems.

ASSESSMENT TASKS

1. Tests

2. Mathematical Investigations

3. Examination 

SPECIAL ARRANGEMENTS/EQUIPMENT 

Students will need a “TI nspire” CAS graphics calculator.