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ACMMM133

calculate total change by integrating instantaneous or marginal rate of change

ACMEM171

use technology to calculate the future value of a compound interest loan or investment and the total interest paid or earned

ACMMM109

recognise acceleration as the second derivative of position with respect to time

ACHAH220

The reasons for the formation of the ‘Second Triumvirate’ of Antony, Lepidus and Octavian

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

ACMMM108

understand the concept of the second derivative as the rate of change of the first derivative function

ACMMM110

understand the concepts of concavity and points of inflection and their relationship with the second derivative

ACMMM111

understand and use the second derivative test for finding local maxima and minima

ACSBL024

Keystone species play a critical role in maintaining the structure of the community; the impact of a reduction in numbers or the disappearance of keystone species on an ecosystem is greater than would be expected based on their relative abundance or total …

ACSPH076

A wave model explains a wide range of light-related phenomena including reflection, refraction, total internal reflection, dispersion, diffraction and interference; a transverse wave model is required to explain polarisation

ACMMM112

sketch the graph of a function using first and second derivatives to locate stationary points and points of inflection

ACMMM113

solve optimisation problems from a wide variety of fields using first and second derivatives.

ACHAH221

The nature of the tensions and rivalry between Octavian and Mark Anthony, the breakdown of the ‘Second Triumvirate’, Cleopatra and the significance of the Battle of Actium

ACHAH160

The historical and geographical context, including an overview of Old and Middle Kingdom developments, the significance of the Second Intermediate Period; Upper and Lower Egypt, the territorial boundaries of Egypt

ACHMH096

The post-war economic boom and the increase in the wage standards of workers’ in the West in the second half of the 20th century; and increased opportunities including education, training and social mobility …

ACHMH034

The main causes of the Industrial Revolution in the second half of the 18th century as debated by historians, including the invention of new technologies and use of coal and iron; population increase; European imperialism and the capital accumulated from …

ACHMH036

The impact of new processes and ideas on economic life, for example: the development of mining; the mechanisation of the textile industry; the rise of the factory system and production lines; the development of a steel-based second Industrial Revolution; …

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