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Unit 1 Mathematical Methods

This unit begins with a review of the basic algebraic concepts and techniques required for a successful introduction to the study of calculus. The basic trigonometric functions are then introduced. Simple relationships between variable quantities are …

Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

Unit 2 Mathematical Methods

The algebra section of this unit focuses on exponentials and logarithms. Their graphs are examined and their applications in a wide range of settings are explored. Arithmetic and geometric sequences are introduced and their applications are studied. Rates …

Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

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

ACMMM086

estimate numerically the value of a derivative, for simple power functions

ACMMM134

calculate the area between curves in simple cases

ACMMM043

solve equations involving trigonometric functions using technology, and algebraically in simple cases.

ACMMM067

solve equations involving exponential functions using technology, and algebraically in simple cases.

ACMMM139

examine simple examples of non-uniform discrete random variables

ACMMM157

solve simple equations involving logarithmic functions algebraically and graphically

ACMMM070

use arithmetic sequences in contexts involving discrete linear growth or decay, such as simple interest

ACMMM096

solve optimisation problems arising in a variety of contexts involving simple polynomials on finite interval domains.

ACMMM097

calculate anti-derivatives of polynomial functions and apply to solving simple problems involving motion in a straight line.

ACMMM140

recognise the mean or expected value of a discrete random variable as a measurement of centre, and evaluate it in simple cases

ACMMM141

recognise the variance and standard deviation of a discrete random variable as a measures of spread, and evaluate them in simple cases

ACMMM166

recognise the expected value, variance and standard deviation of a continuous random variable and evaluate them in simple cases

ACMMM095

sketch curves associated with simple polynomials; find stationary points, and local and global maxima and minima; and examine behaviour as \(x\rightarrow\infty\) and \(x\rightarrow-\infty\)

ACMMM165

understand the concepts of a probability density function, cumulative distribution function, and probabilities associated with a continuous random variable given by integrals; examine simple types of continuous random variables and use them in appropriate …

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