Mathematical Methods and Analysis Advanced

Prerequisites

Students must achieve a B average or higher in Year 9A Mathematics and be invited into this course. Students entering Carey at Year 10 must sit an assessment to apply for entry to this course.

Course Description

The Year 10 Mathematical Methods and Analysis Advanced course is by invite only and with approval from the Leader of Learning Mathematics. Students who have completed the Year 9 Mathematics Advanced course with an average of B or higher will continue to the Year 10 Mathematical Methods and Analysis Advanced course which will follow the Victorian 10A Mathematics curriculum. The course will continue to extend and challenge students with non-routine complex problem solving.

Essential Questions

What does the gradient of a straight line represent and how is this useful in the real world?
How is our number system structured to include surds and logarithms?
Where do quadratic relationships occur and how do we model these?
What is probability and how do we model the chance of events occurring?
What is the difference between a linear and quadratic equation and how do we solve them?

Areas of Study

Number and Algebra

Revision of fractions, decimals, percentage and ratios.
Surds, indices and logarithms.
Interpreting formulae, algebraic simplification and expansion.
Linear, quadratic factorisation and equation solving.
Manipulating and solving indicial, logarithmic, trigonometric and polynomial equations.

Measurement and Geometry

Pythagoras's Theorem.
Circle geometry theorems, arc length, congruence and similarity.
Graphs of linear, quadratic, cubic, exponential and logarithmic functions.
Finding lengths and angles in right angled and other triangles in two- and three-dimensions using formulae.
Applications, the unit circle and the graphical representation and trigonometric functions.

Probability and Statistics

Use of tree diagrams, Venn diagrams and two way tables to calculate theoretical probability.
Independent and mutually exclusive events.

Assessment

Assessment