Structure of Mathematical Methods Mathematical Methods
Mathematical Methods is organised into four units. The topics broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic and geometric …
Structure of Mathematical Methods | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM133
calculate total change by integrating instantaneous or marginal rate of change
ACMMM133 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM109
recognise acceleration as the second derivative of position with respect to time
ACMMM109 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM108
understand the concept of the second derivative as the rate of change of the first derivative function
ACMMM108 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM110
understand the concepts of concavity and points of inflection and their relationship with the second derivative
ACMMM110 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM111
understand and use the second derivative test for finding local maxima and minima
ACMMM111 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM112
sketch the graph of a function using first and second derivatives to locate stationary points and points of inflection
ACMMM112 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM113
solve optimisation problems from a wide variety of fields using first and second derivatives.
ACMMM113 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum