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ACMEM065

demonstrate an understanding of the elementary ideas and notation of ratio

ACMEM066

understand the relationship between fractions and ratio

ACMEM067

express a ratio in simplest form

ACMEM068

find the ratio of two quantities

ACMEM069

divide a quantity in a given ratio

ACMEM070

use ratio to describe simple scales.

ACMEM111

understand and apply drawing conventions of scale drawings, such as scales in ratio, clear indications of dimensions, and clear labelling

ACMEM117

apply the tangent ratio to find unknown angles and sides in right-angled triangles

ACMEM119

apply the cosine and sine ratios to find unknown angles and sides in right-angled triangles

ACMEM149

describe ways of expressing probabilities formally using fractions, decimals, ratios, and percentages.

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.

ACMGM034

review the use of the trigonometric ratios to find the length of an unknown side or the size of an unknown angle in a right-angled triangle

ACMMM028

review sine, cosine and tangent as ratios of side lengths in right-angled triangles

ACMMM074

understand the limiting behaviour as \(n\rightarrow\infty\) of the terms \(t_n\) in a geometric sequence and its dependence on the value of the common ratio \(r\)

ACMMM080

interpret the ratios \(\frac{f\left(x+h\right)-f(x)}h\) and \(\frac{\delta y}{\delta x}\) as the slope or gradient of a chord or secant of the graph of \(y=f(x)\)

ACMSM062

express rational numbers as terminating or eventually recurring decimals and vice versa

ACMSM100

sketch the graphs of simple rational functions where the numerator and denominator are polynomials of low degree.

Factors that affect exchange of materials across membranes include the surface-area-to-volume ratio of the cell, concentration gradients, and the physical and chemical nature of the materials being exchanged

ACSCH024

The relative atomic mass of an element is the ratio of the weighted average mass per atom of the naturally occurring form of the element to \(\frac1{12}\) the mass of an atom of carbon-12; relative atomic masses reflect the isotopic composition of the …

ACSES107

Geological, prehistorical and historical records provide evidence (for example, fossils, pollen grains, ice core data, isotopic ratios, indigenous art sites) that climate change has affected different regions and species differently over time

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