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ACELR058

how ideas, values and assumptions are conveyed

ACELR069

reflecting on the ways in which expectations and values of audiences shape the created text.

ACMEM035

substitute numerical values into algebraic expressions; for example, substitute different values of \(x\) to evaluate the expressions \(\frac{3x}5,\;5(2x-4)\)

ACMEM036

substitute given values for the other pronumerals in a mathematical formula to find the value of the subject of the formula.

ACMEM122

generate tables of values for linear functions, including for negative values of \(x\)

ACMEM123

graph linear functions for all values of \(x\) with pencil and paper and with graphing software.

ACMEM129

understand the purpose of sampling to provide an estimate of population values when a census is not used

ACMGM005

compare prices and values using the unit cost method

ACMGM008

calculate the dividend paid on a portfolio of shares, given the percentage dividend or dividend paid per share, for each share; and compare share values by calculating a price-to-earnings ratio.

ACMGM010

substitute numerical values into linear algebraic and simple non-linear algebraic expressions, and evaluate

ACMGM011

find the value of the subject of the formula, given the values of the other pronumerals in the formula

use a spreadsheet or an equivalent technology to construct a table of values from a formula, including two-by-two tables for formulas with two variable quantities; for example, a table displaying the body mass index (BMI) of people of different weights …

ACMMM035

recognise the exact values of \(\cos\theta,\;\sin\theta\) and \(\tan\theta\) at integer multiples of \(\frac\pi6\) and \(\frac\pi4\)

ACMMM098

estimate the limit of \(\frac{a^h-1}h\) as \(h\rightarrow0\) using technology, for various values of \(a\;>0\)

ACMMM135

determine positions given acceleration and initial values of position and velocity

ACMMM176

simulate repeated random sampling, for a variety of values of \(p\) and a range of sample sizes, to illustrate the distribution of \(\widehat p\) and the approximate standard normality of \(\frac{\widehat p\;-p}{\sqrt[{}]{(\widehat p(1-\widehat p)/n}}\) …

ACMSM143

use \(\overline x\) and \(s\) to estimate \(\mu\) and \(\sigma\), to obtain approximate intervals covering desired proportions of values of a normal random variable and compare with an approximate confidence interval for \(\mu\)

ACSCH046

Select and use appropriate mathematical representations to solve problems and make predictions, including using the mole concept to calculate the mass of chemicals and/or volume of a gas (at standard temperature and pressure) involved in a chemical reaction, …

ACSCH110

Cell potentials at standard conditions can be calculated from standard electrode potentials; these values can be used to compare cells constructed from different materials

ACSPH135

Atomic phenomena and the interaction of light with matter indicate that states of matter and energy are quantised into discrete values

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